practize_1course/templates/heavy_case/h____gid_Qw1.nb
2026-07-06 12:59:08 +03:00

9365 lines
399 KiB
Mathematica
Executable file

(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Wolfram 14.1' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 154, 7]
NotebookDataLength[ 399390, 9355]
NotebookOptionsPosition[ 375168, 8989]
NotebookOutlinePosition[ 375597, 9006]
CellTagsIndexPosition[ 375554, 9003]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[
RowBox[{"f1", "="}]], "Input",
CellChangeTimes->{
3.991849227197853*^9},ExpressionUUID->"c5bb4ac7-6666-c043-9d96-\
2dda1d801f63"],
Cell[BoxData[""], "Input",
CellChangeTimes->{{3.991849227899128*^9,
3.9918492279041367`*^9}},ExpressionUUID->"93cad80c-1de7-2e4b-9b8c-\
14a272e65d1f"],
Cell[BoxData[
RowBox[{"f2", "="}]], "Input",
CellChangeTimes->{
3.9918492290557346`*^9},ExpressionUUID->"1dc76a14-b094-5f49-81bb-\
fc37192f9bb8"],
Cell[BoxData[""], "Input",
CellChangeTimes->{{3.991849229804535*^9,
3.991849229809536*^9}},ExpressionUUID->"15fe72e6-19f0-9540-b29f-\
3056e2e0b957"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Ir", "=",
RowBox[{"(",
RowBox[{
FractionBox[
RowBox[{"A1", "*",
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}]}], "A"], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.16", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "1"], "*",
SuperscriptBox["A1",
RowBox[{"1", "/", "3"}]]}], "+",
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.16", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "1"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"1", "/", "3"}]]}], "+",
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.16", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "1"], "*", "d"}]}], ")"}], "2"]}],
")"}]}]], "Input",
CellLabel->
"In[233]:=",ExpressionUUID->"5e48fe0c-b3e8-2b40-82cb-716b23b2f326"],
Cell[BoxData["2.3793916761039797`*^-53"], "Output",
CellChangeTimes->{3.9913335367025833`*^9},
CellLabel->
"Out[233]=",ExpressionUUID->"1db85c02-7ca3-154e-854d-2c36f89709c4"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Il", "=",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.16", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}]}]], "Input",
CellChangeTimes->{
3.9915575926932735`*^9},ExpressionUUID->"e4db2648-4e1a-2c46-83ab-\
fcd932c3b663"],
Cell[BoxData["5.020725113795862`*^-55"], "Output",
CellChangeTimes->{3.991333536726557*^9},
CellLabel->
"Out[234]=",ExpressionUUID->"78ed190c-23cd-4d45-867a-2b08174b715f"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Ih", "=",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.16", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}]], "Input",
CellChangeTimes->{{3.991557595005127*^9,
3.991557596789215*^9}},ExpressionUUID->"e4649c3d-e19e-ca42-95a0-\
23b66397f1fd"],
Cell[BoxData["1.871372642785671`*^-54"], "Output",
CellChangeTimes->{3.9913335367515736`*^9},
CellLabel->
"Out[235]=",ExpressionUUID->"82ec2512-4fcb-ba44-b472-bb3a66bb622e"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Qb3", "=",
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "1"}]], "*",
FractionBox[
RowBox[{"Ih", "*", "Ir"}],
RowBox[{"Ih", "+", "Ir"}]]}]}]], "Input",
CellLabel->
"In[236]:=",ExpressionUUID->"4fce6da4-52eb-2241-95d7-07a3b02da5a3"],
Cell[BoxData["25.178011816139865`"], "Output",
CellChangeTimes->{3.9913335367605553`*^9},
CellLabel->
"Out[236]=",ExpressionUUID->"9d53fa4a-be54-7b42-83bd-0a5560193c0f"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Qw3", "=",
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "1"}]], "*",
FractionBox[
RowBox[{
RowBox[{"(",
RowBox[{"Ih", "+", "Il"}], ")"}], "*", "Ir"}],
RowBox[{"Ih", "+", "Ir", "+", "Il"}]]}]}]], "Input",
CellLabel->
"In[237]:=",ExpressionUUID->"3d3ac48f-4615-f84c-a7f7-5378c3c65118"],
Cell[BoxData["31.32034821453639`"], "Output",
CellChangeTimes->{3.991333536783556*^9},
CellLabel->
"Out[237]=",ExpressionUUID->"4107fa63-a138-df48-a95c-ec944a983800"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"hb", "=",
SqrtBox[
FractionBox["Kb", "Qb3"]]}]], "Input",
CellLabel->
"In[238]:=",ExpressionUUID->"2286abae-ff28-304a-8f7b-c48840716d4d"],
Cell[BoxData["0.7475613664925793`"], "Output",
CellChangeTimes->{3.9913335367915726`*^9},
CellLabel->
"Out[238]=",ExpressionUUID->"f894fb1d-1550-5146-a259-dfa871655c2a"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"hw", "=",
SqrtBox[
FractionBox["Kw", "Qw3"]]}]], "Input",
CellLabel->
"In[239]:=",ExpressionUUID->"373925b1-ddd5-2947-b051-4d47d7cbfb42"],
Cell[BoxData["3.5403946764909393`"], "Output",
CellChangeTimes->{3.99133353681583*^9},
CellLabel->
"Out[239]=",ExpressionUUID->"8d5b13a4-8c75-0f48-ab21-9720bb8c0cbc"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Cw", "=",
FractionBox[
RowBox[{"Qw3", "*", "hw"}], "1"]}]], "Input",
CellLabel->
"In[240]:=",ExpressionUUID->"797e30a2-55b1-ab41-8ec1-6f1890b0cafa"],
Cell[BoxData["110.88639408458714`"], "Output",
CellChangeTimes->{3.991333536826782*^9},
CellLabel->
"Out[240]=",ExpressionUUID->"4d4b493f-9f2d-1e41-979f-fb4d58d0e93a"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Cb", "=",
FractionBox[
RowBox[{"Qb3", "*", "hb"}], "1"]}]], "Input",
CellLabel->
"In[241]:=",ExpressionUUID->"b6758968-60a5-bf4f-af97-c0234fd45ae7"],
Cell[BoxData["18.822108918839827`"], "Output",
CellChangeTimes->{3.9913335368508377`*^9},
CellLabel->
"Out[241]=",ExpressionUUID->"e40db20b-c65e-4a45-ba96-abcb59b0d0ac"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"o1", "=",
RowBox[{
RowBox[{"1", "/",
RowBox[{"(",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]], "*", "Cb"}], "+",
RowBox[{"Cw", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], ")"}],
"2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}]], "Input",
CellLabel->
"In[242]:=",ExpressionUUID->"3c10b649-f7fb-634c-9567-a2802f1a91e4"],
Cell[BoxData["0.042044960793272385`"], "Output",
CellChangeTimes->{3.9913335368758316`*^9},
CellLabel->
"Out[242]=",ExpressionUUID->"cdf81fea-e12a-2b44-81a8-222b4bbf8a86"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{"2", "*", "x", "*", "x", "*", "o1", "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-", "x"}], "*", "x", "*", "o1"}]],
RowBox[{"\[DifferentialD]", "x"}]}]}]], "Input",
CellLabel->
"In[243]:=",ExpressionUUID->"3d9772dc-d09e-7e42-a8c3-34b35177c0b5"],
Cell[BoxData["4.322031867849089`"], "Output",
CellChangeTimes->{3.991333536973074*^9},
CellLabel->
"Out[243]=",ExpressionUUID->"181dc1c8-632b-4b43-91c4-d3626d65bfc7"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"o2", "=",
RowBox[{
RowBox[{"1", "/",
RowBox[{"(",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]], "*", "Cb"}], "+",
RowBox[{"Cw", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}]], "Input",
CellLabel->
"In[244]:=",ExpressionUUID->"69710763-10b6-9e4b-a03e-04503cc982f3"],
Cell[BoxData["0.011395075201487413`"], "Output",
CellChangeTimes->{3.9913335369870644`*^9},
CellLabel->
"Out[244]=",ExpressionUUID->"c7d972b4-764c-954a-8260-240d49cfcff6"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{"2", "*", "x", "*", "x", "*", "o2", "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-", "x"}], "*", "x", "*", "o2"}]],
RowBox[{"\[DifferentialD]", "x"}]}]}]], "Input",
CellLabel->
"In[245]:=",ExpressionUUID->"21d4dc0d-49aa-e14b-a672-a791a49cb67d"],
Cell[BoxData["8.302069082299768`"], "Output",
CellChangeTimes->{3.9913335370800858`*^9},
CellLabel->
"Out[245]=",ExpressionUUID->"c285a758-c3ad-974b-93c3-4cb0d4bdd2ae"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"h1", "=",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}],
")"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}]}],
")"}]}]}]], "Input",
CellLabel->
"In[246]:=",ExpressionUUID->"53b2f62f-bbcf-e747-be67-34e0ed52cc11"],
Cell[BoxData["0.7884625602161153`"], "Output",
CellChangeTimes->{3.9913335370930634`*^9},
CellLabel->
"Out[246]=",ExpressionUUID->"5dc957f4-8f84-c54c-80a3-c76f756c5df4"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"h2", "=",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], ")"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}]}],
")"}]}]}]], "Input",
CellLabel->
"In[247]:=",ExpressionUUID->"42f082eb-e223-114c-bb63-6a16bba4880c"],
Cell[BoxData["0.21153743978388478`"], "Output",
CellChangeTimes->{3.991333537118065*^9},
CellLabel->
"Out[247]=",ExpressionUUID->"b4ee01d5-3415-494b-b28a-4587c8d8bb90"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"h3", "=",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], ")"}], "*",
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}],
")"}]}], ")"}], "/",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
"\[IndentingNewLine]",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"]}]}]], "Input",
CellLabel->
"In[248]:=",ExpressionUUID->"22ca5bb0-8415-2146-b64e-353a4dc8c0e5"],
Cell[BoxData["0.16678935135356415`"], "Output",
CellChangeTimes->{3.9913335371420746`*^9},
CellLabel->
"Out[248]=",ExpressionUUID->"20c44e64-7085-8e4d-a9d6-f80b5532826e"]
}, Open ]],
Cell[BoxData[
RowBox[{"Clear", "[",
RowBox[{"x", ",", "y"}], "]"}]], "Input",ExpressionUUID->"ba4a3eff-9e3b-\
5e47-a896-3a959bbbf44d"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"J1", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "x", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{
3.991849241512779*^9},ExpressionUUID->"738a48f3-b38c-f441-aec4-\
53babaa73a14"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"3.2914107257951473`*^-244\\\", \
\\\"69237837345426015193166198943959583654468513190741907865600000000000000\\\
\"]\\) is too small to represent as a normalized machine number; precision \
may be lost.\"", 2, 249, 217, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913335371540604`*^9},
CellLabel->
"During evaluation of \
In[249]:=",ExpressionUUID->"bd0a7da1-672e-6b4e-afbd-4af379292e8d"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.101217087106948`*^-252\\\", \
\\\"75400004869168930545357990649971986599716210864717937665638400000000000000\
\\\"]\\) is too small to represent as a normalized machine number; precision \
may be lost.\"", 2, 249, 218, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913335371630745`*^9},
CellLabel->
"During evaluation of \
In[249]:=",ExpressionUUID->"9a8837e4-2afa-d145-83db-a88ef0e502bc"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.9939692660683834`*^-259\\\", \
\\\"87162405628759283710433837191367616509271939759613935941477990400000000000\
000\\\"]\\) is too small to represent as a normalized machine number; \
precision may be lost.\"", 2, 249, 219, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913335371710587`*^9},
CellLabel->
"During evaluation of \
In[249]:=",ExpressionUUID->"0aa4ed5d-b925-834d-b53a-95c75c4ff982"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 249, 220, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.99133353717906*^9},
CellLabel->
"During evaluation of \
In[249]:=",ExpressionUUID->"2742a735-9c26-7640-8a81-3e30eaffa353"],
Cell[BoxData["4.322031867849086`"], "Output",
CellChangeTimes->{3.9913335399194164`*^9},
CellLabel->
"Out[249]=",ExpressionUUID->"d91a6bca-04d7-b84b-93cf-0695498dc4de"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"J2", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "y", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{
3.9918492463930817`*^9},ExpressionUUID->"86c33485-ed26-8f49-b3d0-\
7d040d3b48f0"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"3.2914107257951473`*^-244\\\", \
\\\"69237837345426015193166198943959583654468513190741907865600000000000000\\\
\"]\\) is too small to represent as a normalized machine number; precision \
may be lost.\"", 2, 250, 221, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913335399544125`*^9},
CellLabel->
"During evaluation of \
In[250]:=",ExpressionUUID->"2c553d54-16ec-9646-b6d7-75da3c367575"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.101217087106948`*^-252\\\", \
\\\"75400004869168930545357990649971986599716210864717937665638400000000000000\
\\\"]\\) is too small to represent as a normalized machine number; precision \
may be lost.\"", 2, 250, 222, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913335399644184`*^9},
CellLabel->
"During evaluation of \
In[250]:=",ExpressionUUID->"1c597fdf-5631-a84c-9feb-152df3629d86"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.9939692660683834`*^-259\\\", \
\\\"87162405628759283710433837191367616509271939759613935941477990400000000000\
000\\\"]\\) is too small to represent as a normalized machine number; \
precision may be lost.\"", 2, 250, 223, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991333539972414*^9},
CellLabel->
"During evaluation of \
In[250]:=",ExpressionUUID->"48439b56-7b7d-fa4d-a4e2-5db2bbda0c77"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 250, 224, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991333539979416*^9},
CellLabel->
"During evaluation of \
In[250]:=",ExpressionUUID->"66ce390f-34a9-df4d-9875-a339943ada86"],
Cell[BoxData["8.302069082299772`"], "Output",
CellChangeTimes->{3.991333542631773*^9},
CellLabel->
"Out[250]=",ExpressionUUID->"2e46fa54-fabe-5040-8f8c-6829b7c76136"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"a", "=",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{
FractionBox[
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "y", "*", "\[Pi]"}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y", "*",
RowBox[{"Cos", "[",
FractionBox[
RowBox[{"z", "*", "\[Pi]"}], "180"], "]"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "1"], "//", "N"}], ",",
RowBox[{"{",
RowBox[{"z", ",", "0", ",", "180"}], "}"}]}], "]"}]}]], "Input",
CellChangeTimes->{
3.9918492535482903`*^9},ExpressionUUID->"f373fe4f-940c-0842-9236-\
63ec36d318ad"],
Cell[BoxData[
GraphicsBox[
InterpretationBox[{
TagBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2],
Opacity[1.], LineBox[CompressedData["
1:eJwd13k0Vd0bB3BzEjJmCmWqS0qu4YrsJ/ci8yyExD0neZUxr5Ch0qSkUqlX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"]]},
Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
{"WolframDynamicHighlight", <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}],
StyleBox[
DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {},
Slot["HighlightElements"],
Slot["LayoutOptions"],
Slot["Meta"],
Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwd13k0Vd0bB3BzEjJmCmWqS0qu4YrsJ/ci8yyExD0neZUxr5Ch0qSkUqlX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"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 180}, {0.9887929549829119,
1.0113097844802965`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0.9887929549829141},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1),
"DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" ->
False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>]]& )[<|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 180}, {0.9887929549829119,
1.0113097844802965`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0.9887929549829141},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1),
"DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>],
ImageSizeCache->{{120.79808473007536`,
258.9819285854564}, {-15.577506565567944`, 5.594368434432056}}],
Selectable->False]},
Annotation[{{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwd13k0Vd0bB3BzEjJmCmWqS0qu4YrsJ/ci8yyExD0neZUxr5Ch0qSkUqlX
URKJhChDUnlLUvQSpcgQleneZKrEb5/fH2ed9Vl77ef5rr33Onud1YFhrgQf
Dw/POH6od8Tr9Wvut702j/dMVd14g4PMJ24YBrKKUUqplRrlvhyjTA1WHQo4
cUKbsjP7lZAo/V+0bdiZQbksNumpIKsF0Z9esqN8/Jl8Q1LRG+SvSrApV7dF
XJ3Xf4vO/Sw/SHmkuzlhf+07NO106CZlxSH17TPMj+jgqs5WynacBJOolk9o
Mvj2AuX6+ZFlsUX96K4WP10fuzNFLr5q7yAy9ewJpTwhxBqZ0h9C7VMmxZSF
ToZ702eH0d8L8t8pq0heaYqo/Yq8wuJM6diOSjM3J5hjSHVfYx9lMldtha7w
BIrjKTE1wE7SdEr9q4WDTPvksim/k+vYGF30HYWmRu8xxGb7hOw+d3ISLUdk
L2VuNs+18r0/UI1Bt7sRtrCarsR3/WmU8WCrqzF2JvuptYTsDHJgMN9TXlXg
nbRhdga97XxEMLAZ645M7KmdQ4bO6LQJdrDRp5YR5jzimnlqmGFPxe4TENH6
g3gaArooJ9cuM6MJLyBt+fHTm7GzgHF7V8siClRJk0RUvvwmVmQRL7hZfPC0
wC56dq4vRYkPmIY/DJlU3i/+CWdO8kFlzklFFnaC9nTF3b38kHyTOWVJ5S1d
rc7RF4TcmYZvNtjdbWP1C3mCsFxjcMqWyj9530dcVgh6PI8I2mMXGzie1Z0V
guFTTsaO2I3VcbyhtcJAixn96Io9/bT901emKMi2mOj5YUvZi0rE14vCtP/h
Mn9svQ4WiJmIQVqepUkAdsjnytyN68XhQpeObxB2OF+L3mZRCWj8doizG3tI
7c731BlJMDGzsY+l1odsXtpKlwKJtO8Gcdh8t4dXy0dIgXWpuEYClZeu6lo0
KgW132/KJmP7MDPKX/dJQ3+WndUx7NagyCi5l7LQ+c6y5xJ2b0F6WoDwCgju
0tbNxh4bLcq7ZbkCrHYcPHQVWyR6sN20YQWkBx9j5mGzDrsbBFTKwWLXqEQJ
ds0No+nCHAXY9vdI32PsG0O/YjZFK4ObyUF3LvZWj6O9USXKEPzLcfMPqn6j
tFXJsDIcza3UmcE2uLFOdpW3Ckx9dVKYp9Yz0L9C0FwVHiZXGAvnc9Akp+/v
r4dWQbu7eMpqbOk9rHsVDmqQffAhywt7+IZIsHOIGtDKQ/q2Yz/42KY0fkQN
mJdvp+zA9rX3O6TVoAbBD750kNg3dGJcL+mrw4A8s34ftsFIATdRTgO+Vrln
Z2K771qma9uvCbbHWYc7sVGMh/62P5qgouxY142tnZpjzFbQgtmG4p+92Dx5
dItEFy14ZRF8+At2Se/2beWPtWDR/837OWwhz+IUxetrYM9hg8Mrb+J8LIfO
kUAaPJ+MfLsLO8/t4ofZRBocI67dD8VOD+zvE/iHBim5K3MisNnJ+0ZV2mkw
6Dx3IB5bsu4KjxtTG4rqzeJPY4fQJ7Rr1XVgx2B11ANsJbXTSWmf18HSDTE+
4gUcVHdiivaTTxeCHhn6y2D7/vDuIFfrws48rWBF7KuNGjQLf13Y1nQ5XQtb
bVfNf3NduiCu9lgTYWsXD2mSL9eDd9qthAhsZSUVcpW3HuzT57zoxl6XHy36
G+lDbY/ai0eFHBTIPjSt66gPD8uzO55hZ6mf7Q3w1Yci4cChV9j810vvPovV
hwNnXq34iN19dcT9bJk+XE9YWT2HfTwr4ApNnQ5x46a/9W/h/U2zX+8lZACm
5w5G3sa+FqnhXNliCMNvjGSKizioLQYZH843gYqZ6jWqJRy02v+to1/oZjBm
d3AHSjmIWKy6o7wf4JvM/t5n5RwkN/pgiVygBZj3cBfMqjgomm728aw2Cwb4
N5U+rcb5x+ebpEcsIcqlYEnCQ7yfFlFLclqtgRFp3NXyGJ+fqZDHxZk2ECWw
6b3UMw6a2yL/qjHJDpYGqj+dauagHh7+7/07HWBDaPOR360ctHdlWEaKuhOs
M/2g9LGDg+7sbmo4n+oM0r9kuj26OSjuh8Kszm4XcA8au3bpE/5+2Fp5Pt/h
CpmbWQuRQxxksv3MliEXNyh5u9vAeZSD/lO4EtJId4fmII/GXi6+T24eqitc
6wFpCV7dMzP4fPVp2zuKecIv0UCd8nl8H3Rwd8WMewK/cGK6Ni8X0c+fKc7r
2waxshczGQJcdEXgx/qzT71g7a3qZ+JLuKhqy4bu1GpvsK/5fFlRhIuyjE9I
zhf5gDUSShMT46LWD/lH6Ce3g/DtFtPHy7mo0iFbIzzZF6qmb2VdleKi73vc
ePay/cDjzbN/GLJcNG1FC55g+gM79XVimRwXFY6/n4sy2gFk/Htea0Uu8rqW
H+QnGgArKxXmzq/koopyux38RwNAPanSdFaFi0yU/vt5/GcAlJGJWyRWc5F6
367uN7t3gvWmgooFNS76vOwvp+zBnRCerzbE1eCitnTHIGuPQLgdc0I+W4uL
MmNzlu1rC4RIi863aC0X1dUv/gyyCQK+e+Pb7tC4aLkvHKXXBIGFVI9wtzYX
rZJ53rqyLgiq7KcberH1WhzkheqDwKVwdt8gtqvZ9lvvHgdBjE915xh25sqY
lwdeBMHJD1pRi9iKPbeXN70LAtZlXzkNHS7S8JfL8p0NgtbQNyJ/YZsETBSm
GrChbs2FNA72zUvcKEcjNujUPWL8wJZpnzSXY7Chtk1rcAZ7wnK2o9CUDeap
xRsWsG/o8PC2WLChK/J0geg6LhKflfSWcmFDaWmiFA378ynDpTl72LD1Ktm+
A9vluXHHrjA2XOe2rAnCrufZlKMXwYa5yN37SexLUeaGT6LZcJfGktmD7eht
vXMong1rveLWxmFXa3hX65xgg5V8TfM57PTahN0PbrJhd4n0dCP2Hv2LJrGF
bPhbqa/vObb9rbKljCI2DG2Ye9GMLXJx+Nb9EjY8yhDJbMNOjXQeqbrHBjOV
iiUfsRNoGn9VPmGDqMdo6CR2yMWXoeW9bGAcatBV1uUiG/Fhs8g+NoS7FD1R
xV6byiOmP8AGZeh2V8MejjQsKRtiw4n3yyLWYO90zBm/O8YGvpSyYxuxvQSj
9pb+wv3dBw0ssa2jFMOLVxDw/FprUgj2k5wjtmflCZik/zseim3WMqkRq0jA
nwtJXmHYepov3zNVCKiXt9CIxlboimd+0CSgQO5n5gHs0U09K0QMCWjYKPzh
NPZpvtyHu9wIePgxea4MW2SDaJaDBwGdEXULFdiHt8dG0rcRwHf+Pm8Vduw9
5zWLPgTYjY/+qabyk7xnLgQSoPZia+tjbHpzIPvfCAI2y1S8bcPuOqO5TD2D
gLQ3HuFj2HeQWPDXMwQ8Ni6aHKfqj081lpwjIEBUK5KDrW/TmMi4SID61XPB
k9jpPEGTDlcJeFfDpM9hW4Xlvo8tJsBk3SDiX89FysrHjMzvEOCyNS9TAHuq
Oewc/10CdP2ODwtiX9dCDukVBDAUn6cIY//p6WnIqyGAJ03oghj2PXulwtdN
BGjpHjKUw077xSeY2UxAsuAlX3nswMKRnd4tBAhmtCcrYEsI1Ch9biXAJ7yq
QQk7tNbr9M9OAiR9NqqswlbXvhCjMUTADrsxp7XYv7oOtH8bJqC9i2VDw25L
JfRKvxKwuNCAtLET+w1GTMYIEOtV11iH3Z3V7uf0g4AU3bPNG7DPLpG0jOMl
IXqVQLoRdt1kz/ZofhImni6LMMb+0lMUuVeQhIF/UpwZ2Gb3WLmBS0nIu3Zf
YBP2cEDsb1tJEmpV7Sw2U/ntLaUspUlYlfxE2Bzb1FiKhmRJcDlV8JJyhlix
J12BhCdhNVZAjdd8KlNaTYLZXV4pJjaZX9wkq05CYtvnWsoZGfs/LdckwXot
/i2h+pHSYgI0EnRtlG9YUuPS1sFjerjf2NI/1tg1C9JJw/okbA70OLEVe+hb
3/k+AxK4xWIyNtibGuKedjBI0MxsXGmL/Tn0jspDIGEo1ZbfHlvcK97wvgUJ
X+J+R1E2YW61L2ORMP9Dvp9yusLA/vytJGQ6XbrrgP1AoDQjx5aEXavnpRyx
BznxBZfsSZjyeBlBmfFM9u0pZzy/6Y6GE7XfZQOjR11JUPz5JJbyqexSvoPu
JKwJY76gPBBpoxfjRcIx6eM7nLHF/FdYh/uQ8K+hYz5lhs2gX4gvCS9Tk75Q
PqV6IM0/gASTy1o7Xag8IrbXvQJJeOeenUV5YHpFtSubhHJaYgtlsf7BVnuS
hGyZlnnKjJa7w1bBeFzyCM2Vynf/wB8IIcFPudiV8qnrtjKmoSQ4GpjHUn5w
Sk7HcC8JKW5mlykPxH7esiGcBOPYmw8oi7LLvGiRJPDmJrRTNnZKDFOPJqGy
qX7k//U32R1RjiEhhhu6QPmkpvwVuVgSSmSPirthV0kMVUjGkSBhLKZEuf93
WfOyBBJy3BbVKYt+SewXTCThaogfjbLRf3Zzi0kk5Mav0aH8P/6R9W4=
"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 180}, {0.9887929549829119, 1.0113097844802965`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0.9887929549829141},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
"Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0.9887929549829141},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 180}, {0.9887929549829119, 1.0113097844802965`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{3.991333813212965*^9},
CellLabel->
"Out[251]=",ExpressionUUID->"fdd0f260-414f-a94a-8f26-cd86e676700c"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"x", "=",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}], ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",", "30"}], "}"}]}], "]"}]}]], "Input",
CellChangeTimes->{
3.991849261714945*^9},ExpressionUUID->"24fa5db0-1063-354a-bd60-\
c117a27ff3e1"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"2.0784227471040894`*^-281\\\", \
\\\"5919012181389927685417441689600000000\\\"]\\) is too small to represent \
as a normalized machine number; precision may be lost.\"", 2, 252, 225,
24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991333813432829*^9},
CellLabel->
"During evaluation of \
In[252]:=",ExpressionUUID->"546a9ea9-5939-f84a-87c6-58844f58f330"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.9214123648785273`*^-295\\\", \
\\\"2610284371992958109269091785113600000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 252,
226, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991333813442087*^9},
CellLabel->
"During evaluation of \
In[252]:=",ExpressionUUID->"b36bffd7-1c84-5c45-a847-b2c31968f579"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*SuperscriptBox[RowBox[{\\\"(\\\", RowBox[{\\\"-\\\", \
\\\"9.614868462060315`*^-8\\\"}], \\\")\\\"}], \\\"44\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 252,
227, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991333813450123*^9},
CellLabel->
"During evaluation of \
In[252]:=",ExpressionUUID->"c864bef7-fc73-d94b-8cde-14570cba8095"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 252, 228, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991333813469118*^9},
CellLabel->
"During evaluation of \
In[252]:=",ExpressionUUID->"a2e62375-acd2-6740-bfd7-026877c5bd7b"],
Cell[BoxData[
GraphicsBox[
InterpretationBox[{
TagBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2],
Opacity[1.], LineBox[CompressedData["
1:eJwVl3c8Vu8bx2XLnsnK3ns9eJ5z7ouMSEjJqGRkj5CRFQkhhGQlkRGRUJRR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"]]},
Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
{"WolframDynamicHighlight", <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}],
StyleBox[
DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {},
Slot["HighlightElements"],
Slot["LayoutOptions"],
Slot["Meta"],
Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwVl3c8Vu8bx2XLnsnK3ns9eJ5z7ouMSEjJqGRkj5CRFQkhhGQlkRGRUJRR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"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 30}, {0., 0.17588335145564066`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio},
"Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" ->
GoldenRatio^(-1), "DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" ->
False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>]]& )[<|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 30}, {0., 0.17588335145564066`}},
"Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1),
"DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>],
ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
4.503599627370496*^15, -4.503599627370496*^15}}],
Selectable->False]},
Annotation[{{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwVl3c8Vu8bx2XLnsnK3ns9eJ5z7ouMSEjJqGRkj5CRFQkhhGQlkRGRUJRR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"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 30}, {0., 0.17588335145564066`}},
"Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
"Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 30}, {0., 0.17588335145564066`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{3.991334471589432*^9},
CellLabel->
"Out[252]=",ExpressionUUID->"d4eecdc9-263c-5b43-bb29-cd0ac1286793"]
}, Open ]],
Cell[BoxData[
RowBox[{"xx", "=",
RowBox[{"ListPlot", "[",
RowBox[{"{", "}"}], "]"}]}]], "Input",
CellChangeTimes->{{3.991799458254999*^9,
3.9917994623413925`*^9}},ExpressionUUID->"2d9f4f9c-fc8b-b74d-9e49-\
a8e133e7a081"],
Cell[BoxData[
RowBox[{"Show", "[",
RowBox[{"x", ",", "xx"}], "]"}]], "Input",
CellChangeTimes->{{3.9917994642649307`*^9,
3.991799466675585*^9}},ExpressionUUID->"6d3700e1-f504-214a-a332-\
f16397f0b922"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"L", "=",
FractionBox[
SqrtBox[
RowBox[{"Cw", "*", "\[Pi]"}]], "2"]}]], "Input",
CellChangeTimes->{
3.9918492800964603`*^9},ExpressionUUID->"9051a5e3-bb9f-d941-bcca-\
598d0b6835be"],
Cell[BoxData["9.33220071900516`"], "Output",
CellChangeTimes->{3.991334803166374*^9},
CellLabel->
"Out[254]=",ExpressionUUID->"07374b0a-4615-bf46-ab49-be8623cec410"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"L", "=",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
FractionBox["h2", "Cb"], ")"}], "*", "x", "*", "y"}], "2"],
")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
FractionBox["1", "Cb"], ")"}]}]],
RowBox[{"\[DifferentialD]", "y"}]}]}], ")"}], "//", "N"}], ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",", "30"}], "}"}]}], "]"}]}]], "Input",
CellChangeTimes->{
3.9918492818821335`*^9},ExpressionUUID->"65a995ff-ff3d-634e-9bad-\
4a8a16073236"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.015132160320536`*^-259\\\", \
\\\"240597637008332048087335626345604448256000000000000\\\"]\\) is too small \
to represent as a normalized machine number; precision may be lost.\"", 2,
255, 233, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.99133480336051*^9},
CellLabel->
"During evaluation of \
In[255]:=",ExpressionUUID->"c1f83af1-416a-6240-b3fd-c1bfcc643459"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"3.802481548114291`*^-269\\\", \
\\\"162644002617632464507038883409628607021056000000000000\\\"]\\) is too \
small to represent as a normalized machine number; precision may be lost.\"",
2, 255, 234, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991334803369583*^9},
CellLabel->
"During evaluation of \
In[255]:=",ExpressionUUID->"5cfd3c4b-6190-2c4d-8479-b4ccd7090f94"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.803946040382125`*^-279\\\", \
\\\"118567477908254066625631346005619254518349824000000000000\\\"]\\) is too \
small to represent as a normalized machine number; precision may be lost.\"",
2, 255, 235, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991334803378134*^9},
CellLabel->
"During evaluation of \
In[255]:=",ExpressionUUID->"288fc6c7-a3fe-9b48-9c0d-bba2713f7084"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 255, 236, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991334803386196*^9},
CellLabel->
"During evaluation of \
In[255]:=",ExpressionUUID->"09478fd5-b212-2347-91e7-b9097bd6d61d"],
Cell[BoxData[
GraphicsBox[
InterpretationBox[{
TagBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2],
Opacity[1.], LineBox[CompressedData["
1:eJwV13k0VW8XB3BRKTLPl3vNksxycd1rb0QuMmasTKVBpjIUKlIUSkglFElK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"]]},
Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
{"WolframDynamicHighlight", <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}],
StyleBox[
DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {},
Slot["HighlightElements"],
Slot["LayoutOptions"],
Slot["Meta"],
Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwV13k0VW8XB3BRKTLPl3vNksxycd1rb0QuMmasTKVBpjIUKlIUSkglFElK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"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 30}, {0., 0.08145702771151381}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio},
"Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" ->
GoldenRatio^(-1), "DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" ->
False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>]]& )[<|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 30}, {0., 0.08145702771151381}},
"Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1),
"DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>],
ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
4.503599627370496*^15, -4.503599627370496*^15}}],
Selectable->False]},
Annotation[{{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwV13k0VW8XB3BRKTLPl3vNksxycd1rb0QuMmasTKVBpjIUKlIUSkglFElK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"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 30}, {0., 0.08145702771151381}},
"Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
"Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 30}, {0., 0.08145702771151381}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{3.991335257344549*^9},
CellLabel->
"Out[255]=",ExpressionUUID->"f7784347-2042-c042-8970-b060f9535d9e"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "*", "x", "*", "x", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
FractionBox["h2", "Cb"], ")"}], "*", "x", "*", "y"}], "2"],
")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}], ")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
FractionBox["1", "Cb"], ")"}]}]],
RowBox[{"\[DifferentialD]", "y"}],
RowBox[{"\[DifferentialD]", "x"}]}]}]}], "//", "N"}]], "Input",
CellLabel->
"In[256]:=",ExpressionUUID->"86381d88-1537-a242-9cff-0b432b61d63d"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"7.39639867535232`*^-188\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 256,
237, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335257395241*^9},
CellLabel->
"During evaluation of \
In[256]:=",ExpressionUUID->"0a4bed5c-621d-a546-88e9-ce7d779c106a"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"9.342395211692676`*^-192\\\", \
\\\"37000682611300316760538828929435347293979472296876079508245570840752422828\
6944173776953285256179286120857600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 256,
238, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352574052296`*^9},
CellLabel->
"During evaluation of \
In[256]:=",ExpressionUUID->"80e3943d-459b-8b41-9869-50a6cf829ef8"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.1800384500947783`*^-195\\\", \
\\\"92501706528250791901347072323588368234948680742190198770613927101881057071\
7360434442383213140448215302144000000000000000000000000\\\"]\\) is too small \
to represent as a normalized machine number; precision may be lost.\"", 2,
256, 239, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335257413231*^9},
CellLabel->
"During evaluation of \
In[256]:=",ExpressionUUID->"36529169-7f05-ee43-8080-ce8fdd404b8d"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 256, 240, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352574212303`*^9},
CellLabel->
"During evaluation of \
In[256]:=",ExpressionUUID->"a6c5f0ff-3356-4c42-b883-ce45e5cc4f41"],
Cell[BoxData["9.332200719005158`"], "Output",
CellChangeTimes->{3.991335263670042*^9},
CellLabel->
"Out[256]=",ExpressionUUID->"546f133a-4a8e-8d44-937d-5fc3ea2401d8"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"q", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox["1",
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]],
RowBox[{"(",
RowBox[{"4", "x", "*",
RowBox[{"(",
RowBox[{"x", "-", "J1"}], ")"}], "*",
RowBox[{"(",
RowBox[{"y", "-", "J2"}], ")"}], "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}], ")"}], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{{3.991849285445259*^9,
3.991849289419262*^9}},ExpressionUUID->"6f0ad284-4db3-da47-b8dc-\
45830eedfe9c"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"3.2914107257951473`*^-244\\\", \
\\\"69237837345426015193166198943959583654468513190741907865600000000000000\\\
\"]\\) is too small to represent as a normalized machine number; precision \
may be lost.\"", 2, 257, 241, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335263710146*^9},
CellLabel->
"During evaluation of \
In[257]:=",ExpressionUUID->"2e7d173d-070f-de49-a3c2-9964fb888ede"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.101217087106948`*^-252\\\", \
\\\"75400004869168930545357990649971986599716210864717937665638400000000000000\
\\\"]\\) is too small to represent as a normalized machine number; precision \
may be lost.\"", 2, 257, 242, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352637201557`*^9},
CellLabel->
"During evaluation of \
In[257]:=",ExpressionUUID->"04b23985-5685-d344-a2ed-9886796baf32"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.9939692660683834`*^-259\\\", \
\\\"87162405628759283710433837191367616509271939759613935941477990400000000000\
000\\\"]\\) is too small to represent as a normalized machine number; \
precision may be lost.\"", 2, 257, 243, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335263728153*^9},
CellLabel->
"During evaluation of \
In[257]:=",ExpressionUUID->"ccdd27f2-bd64-f442-a708-cfb1052c7f86"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 257, 244, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352637361546`*^9},
CellLabel->
"During evaluation of \
In[257]:=",ExpressionUUID->"384ce3fd-4914-6b49-b10c-84d885ed65d6"],
Cell[BoxData["0.00046079539931050297`"], "Output",
CellChangeTimes->{3.991335268779545*^9},
CellLabel->
"Out[257]=",ExpressionUUID->"8865a4e5-7fd3-3c49-a115-94c8c5479389"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"S1", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox["1",
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]],
RowBox[{"(",
RowBox[{"4", "x", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"x", "-", "J1"}], ")"}], "2"], "*", "y", "*", "\[Pi]",
"*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}], ")"}], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{{3.991849293744112*^9,
3.9918492959939384`*^9}},ExpressionUUID->"b2dda819-6f34-5c49-bc62-\
303d815946e5"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"3.2914107257951473`*^-244\\\", \
\\\"69237837345426015193166198943959583654468513190741907865600000000000000\\\
\"]\\) is too small to represent as a normalized machine number; precision \
may be lost.\"", 2, 258, 245, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335268812542*^9},
CellLabel->
"During evaluation of \
In[258]:=",ExpressionUUID->"958049e8-43e1-cc46-81fb-5b3fe1a5d9ee"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.101217087106948`*^-252\\\", \
\\\"75400004869168930545357990649971986599716210864717937665638400000000000000\
\\\"]\\) is too small to represent as a normalized machine number; precision \
may be lost.\"", 2, 258, 246, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335268822542*^9},
CellLabel->
"During evaluation of \
In[258]:=",ExpressionUUID->"6ed73f20-f975-a34c-a5a3-af58e9ecd7ed"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.9939692660683834`*^-259\\\", \
\\\"87162405628759283710433837191367616509271939759613935941477990400000000000\
000\\\"]\\) is too small to represent as a normalized machine number; \
precision may be lost.\"", 2, 258, 247, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335268831545*^9},
CellLabel->
"During evaluation of \
In[258]:=",ExpressionUUID->"4ce11323-2f48-da4f-84f8-593751381024"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 258, 248, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352688395576`*^9},
CellLabel->
"During evaluation of \
In[258]:=",ExpressionUUID->"330905cd-5b42-604b-aaf8-fbac43108165"],
Cell[BoxData["5.104103620353258`"], "Output",
CellChangeTimes->{3.991335272704685*^9},
CellLabel->
"Out[258]=",ExpressionUUID->"020ade62-ec43-7549-8079-7ac012e004c4"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"S2", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox["1",
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]],
RowBox[{"(",
RowBox[{"4", "x", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"y", "-", "J2"}], ")"}], "2"], "*", "y", "*", "\[Pi]",
"*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}], ")"}], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{{3.9918492993108063`*^9,
3.991849303274454*^9}},ExpressionUUID->"76a9e77d-1f4c-bb4a-bb13-\
1a175f609f7d"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"3.2914107257951473`*^-244\\\", \
\\\"69237837345426015193166198943959583654468513190741907865600000000000000\\\
\"]\\) is too small to represent as a normalized machine number; precision \
may be lost.\"", 2, 259, 249, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352727386665`*^9},
CellLabel->
"During evaluation of \
In[259]:=",ExpressionUUID->"9a8eff2d-0d97-2e45-a2f3-ce0634115f7d"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.101217087106948`*^-252\\\", \
\\\"75400004869168930545357990649971986599716210864717937665638400000000000000\
\\\"]\\) is too small to represent as a normalized machine number; precision \
may be lost.\"", 2, 259, 250, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352727476673`*^9},
CellLabel->
"During evaluation of \
In[259]:=",ExpressionUUID->"7dd7e17e-c74e-7145-b6ae-77a0f02c67f1"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.9939692660683834`*^-259\\\", \
\\\"87162405628759283710433837191367616509271939759613935941477990400000000000\
000\\\"]\\) is too small to represent as a normalized machine number; \
precision may be lost.\"", 2, 259, 251, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352727556705`*^9},
CellLabel->
"During evaluation of \
In[259]:=",ExpressionUUID->"311ddb21-a730-0b41-b633-2d3bac87be85"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 259, 252, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352727636833`*^9},
CellLabel->
"During evaluation of \
In[259]:=",ExpressionUUID->"ecdc16e1-316d-b342-a60b-0f3075607709"],
Cell[BoxData["18.832858301324727`"], "Output",
CellChangeTimes->{3.991335275154251*^9},
CellLabel->
"Out[259]=",ExpressionUUID->"a7fc6f95-4067-504b-8754-5086d2659934"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
FractionBox["q",
SqrtBox[
RowBox[{"S1", "*", "S2"}]]]], "Input",
CellChangeTimes->{{3.9918493065908413`*^9,
3.9918493103344364`*^9}},ExpressionUUID->"69dd09d9-152e-3e4d-9517-\
4de4791db2f4"],
Cell[BoxData["0.00004699917922538678`"], "Output",
CellChangeTimes->{3.991335275186266*^9},
CellLabel->
"Out[260]=",ExpressionUUID->"96bb6c6a-f128-024e-85ce-f8a6083a68c6"]
}, Open ]],
Cell[BoxData[
RowBox[{"Clear", "[",
RowBox[{"J1", ",", "J2", ",", "Cb"}], "]"}]], "Input",
CellChangeTimes->{{3.991849314761318*^9, 3.9918493173333225`*^9},
3.991924798063732*^9},ExpressionUUID->"6ecc7e8c-a7c5-354e-b168-\
749729cd7104"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Qb2", "=",
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "1"}]], "*",
FractionBox[
RowBox[{"Il", "*", "Ih"}],
RowBox[{"Il", "+", "Ih"}]]}]}]], "Input",
CellLabel->
"In[262]:=",ExpressionUUID->"00610596-56e0-594e-b937-45ba84f4314c"],
Cell[BoxData["5.744985073726737`"], "Output",
CellChangeTimes->{3.9913352752142563`*^9},
CellLabel->
"Out[262]=",ExpressionUUID->"fecac54e-ac70-c448-b60d-60e5d8aa9072"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"hb", "=",
SqrtBox[
FractionBox["Kb", "Qb2"]]}]], "Input",
CellLabel->
"In[264]:=",ExpressionUUID->"80807e8a-63b3-1643-8686-477edee068f5"],
Cell[BoxData["1.564995573098557`"], "Output",
CellChangeTimes->{3.9913352752482567`*^9},
CellLabel->
"Out[264]=",ExpressionUUID->"31e41e93-aaef-1b4f-a5e6-3cad86684dfc"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Cb", "=",
FractionBox[
RowBox[{"Qb2", "*", "hb"}], "1"]}]], "Input",
CellLabel->
"In[267]:=",ExpressionUUID->"e12cfe3a-1a80-7c46-b652-b33c70f4712b"],
Cell[BoxData["8.990876207899632`"], "Output",
CellChangeTimes->{3.9913352753089123`*^9},
CellLabel->
"Out[267]=",ExpressionUUID->"d20f2acf-afe0-0844-b0cd-0cdce2394573"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"o1", "=",
RowBox[{
RowBox[{"1", "/",
RowBox[{"(",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]], "*", "Cb"}], "+",
RowBox[{"Cw", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], ")"}],
"2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}]], "Input",
CellLabel->
"In[268]:=",ExpressionUUID->"a58543a2-e013-da4f-b49d-4bc1fd782c5d"],
Cell[BoxData["0.07167004636648908`"], "Output",
CellChangeTimes->{3.9913352753341656`*^9},
CellLabel->
"Out[268]=",ExpressionUUID->"ec544098-6efd-4845-b84f-33e39ead67c9"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{"2", "*", "x", "*", "x", "*", "o1", "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-", "x"}], "*", "x", "*", "o1"}]],
RowBox[{"\[DifferentialD]", "x"}]}]}]], "Input",
CellLabel->
"In[269]:=",ExpressionUUID->"11aa7f22-15dc-394f-8119-3706466553f3"],
Cell[BoxData["3.3103666491187544`"], "Output",
CellChangeTimes->{3.9913352754296722`*^9},
CellLabel->
"Out[269]=",ExpressionUUID->"85f4fe6d-1167-7a40-b761-0a55e5251875"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"o2", "=",
RowBox[{
RowBox[{"1", "/",
RowBox[{"(",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]], "*", "Cb"}], "+",
RowBox[{"Cw", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}]], "Input",
CellLabel->
"In[270]:=",ExpressionUUID->"be01a209-5a51-bb44-a959-dbe1c172fe42"],
Cell[BoxData["0.012832691268660865`"], "Output",
CellChangeTimes->{3.9913352754426765`*^9},
CellLabel->
"Out[270]=",ExpressionUUID->"53db8250-199b-594a-8ebd-fc9cc43217e3"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{"2", "*", "x", "*", "x", "*", "o2", "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-", "x"}], "*", "x", "*", "o2"}]],
RowBox[{"\[DifferentialD]", "x"}]}]}]], "Input",
CellLabel->
"In[271]:=",ExpressionUUID->"80039b80-2557-414c-8242-b722596e9d96"],
Cell[BoxData["7.823229443917166`"], "Output",
CellChangeTimes->{3.991335275540678*^9},
CellLabel->
"Out[271]=",ExpressionUUID->"0013bb3e-54d0-e343-9869-cf63da2eecbd"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"h1", "=",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}],
")"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}]}],
")"}]}]}]], "Input",
CellLabel->
"In[272]:=",ExpressionUUID->"b340c733-2100-9c4f-86ba-d9dc18c9dfa6"],
Cell[BoxData["0.7884625602161153`"], "Output",
CellChangeTimes->{3.9913352755566807`*^9},
CellLabel->
"Out[272]=",ExpressionUUID->"96d8705a-f744-d447-bad0-55fe1d703f38"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"h2", "=",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], ")"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}]}],
")"}]}]}]], "Input",
CellLabel->
"In[273]:=",ExpressionUUID->"dbf44a5f-8dbc-3049-99ca-3aff4a181e3f"],
Cell[BoxData["0.21153743978388478`"], "Output",
CellChangeTimes->{3.991335275581682*^9},
CellLabel->
"Out[273]=",ExpressionUUID->"bad41b21-8b15-a74b-a641-622c6584a958"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"h3", "=",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], ")"}], "*",
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}],
")"}]}], ")"}], "/",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
"\[IndentingNewLine]",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"]}]}]], "Input",
CellLabel->
"In[274]:=",ExpressionUUID->"b393ebfa-9cda-f24a-8039-95e547cb8787"],
Cell[BoxData["0.16678935135356415`"], "Output",
CellChangeTimes->{3.9913352756087036`*^9},
CellLabel->
"Out[274]=",ExpressionUUID->"a42f993d-5633-3546-ae09-6931972f9312"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"J1", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "x", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{
3.991849332835844*^9},ExpressionUUID->"d6aa822f-4140-174a-8e29-\
c889dba5c0d8"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.1126821353218566`*^-190\\\", \
\\\"66885981049744024409206719656442605103016018168204074959083835946452474281\
358493165635789279094374400000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 275,
253, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335275636673*^9},
CellLabel->
"During evaluation of \
In[275]:=",ExpressionUUID->"91f9ae14-8766-3848-9c79-ec46ad6af7ea"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.0111242895395887`*^-194\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 275,
254, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352756456738`*^9},
CellLabel->
"During evaluation of \
In[275]:=",ExpressionUUID->"2440fadc-b12b-424f-a600-97a0a8c9f031"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"9.188359338592283`*^-199\\\", \
\\\"37000682611300316760538828929435347293979472296876079508245570840752422828\
6944173776953285256179286120857600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 275,
255, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352756546745`*^9},
CellLabel->
"During evaluation of \
In[275]:=",ExpressionUUID->"d4d1d26f-ac2b-a949-95b4-8d60af02cc4b"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 275, 256, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335275662676*^9},
CellLabel->
"During evaluation of \
In[275]:=",ExpressionUUID->"0cb59396-7a19-6b43-af2b-0a0ce0427b94"],
Cell[BoxData["3.3103666491187513`"], "Output",
CellChangeTimes->{3.991335279487499*^9},
CellLabel->
"Out[275]=",ExpressionUUID->"3ceb430a-d440-e040-b6a8-a18a3884b326"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"J2", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "y", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{
3.9918493361354027`*^9},ExpressionUUID->"46f3f057-22eb-c143-af7a-\
23ddab00799c"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.1126821353218566`*^-190\\\", \
\\\"66885981049744024409206719656442605103016018168204074959083835946452474281\
358493165635789279094374400000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 276,
257, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335279522499*^9},
CellLabel->
"During evaluation of \
In[276]:=",ExpressionUUID->"ccb81c35-09e9-854b-9187-d46e8624546d"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.0111242895395887`*^-194\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 276,
258, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991335279532501*^9},
CellLabel->
"During evaluation of \
In[276]:=",ExpressionUUID->"6dff6307-9a24-c74d-90d8-2f18b14858dc"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"9.188359338592283`*^-199\\\", \
\\\"37000682611300316760538828929435347293979472296876079508245570840752422828\
6944173776953285256179286120857600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 276,
259, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352795405006`*^9},
CellLabel->
"During evaluation of \
In[276]:=",ExpressionUUID->"11045565-b757-154a-b614-eb73b2dcbc5f"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 276, 260, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913352795487957`*^9},
CellLabel->
"During evaluation of \
In[276]:=",ExpressionUUID->"af9dd0c6-d446-9940-b908-9b52fbb611cb"],
Cell[BoxData["7.82322944391716`"], "Output",
CellChangeTimes->{3.991335283631424*^9},
CellLabel->
"Out[276]=",ExpressionUUID->"d39c46b4-75c6-f741-b7fd-1a1fdbe4155f"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"a", "=",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{
RowBox[{
FractionBox["1", "1"],
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "y", "*", "\[Pi]"}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y", "*",
RowBox[{"Cos", "[",
FractionBox[
RowBox[{"z", "*", "\[Pi]"}], "180"], "]"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], ")"}]}], "//", "N"}], ",",
RowBox[{"{",
RowBox[{"z", ",", "0", ",", "180"}], "}"}]}], "]"}]}]], "Input",
CellChangeTimes->{
3.9918494105860615`*^9},ExpressionUUID->"0137ed47-cd78-284a-910a-\
31d165f1571c"],
Cell[BoxData[
GraphicsBox[
InterpretationBox[{
TagBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2],
Opacity[1.], LineBox[CompressedData["
1:eJwV1nk8Ffv/B3BryVIkJPvalUj2LZ93iJT9UvZ0nDNKlsLXJeK2SDcppKhf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"]]},
Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
{"WolframDynamicHighlight", <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}],
StyleBox[
DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {},
Slot["HighlightElements"],
Slot["LayoutOptions"],
Slot["Meta"],
Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwV1nk8Ffv/B3BryVIkJPvalUj2LZ93iJT9UvZ0nDNKlsLXJeK2SDcppKhf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"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 180}, {0.6152015704378874,
1.5607999649251942`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0.6152015704378887},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1),
"DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" ->
False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>]]& )[<|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 180}, {0.6152015704378874,
1.5607999649251942`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0.6152015704378887},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1),
"DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>],
ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
4.503599627370496*^15, -4.503599627370496*^15}}],
Selectable->False]},
Annotation[{{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwV1nk8Ffv/B3BryVIkJPvalUj2LZ93iJT9UvZ0nDNKlsLXJeK2SDcppKhf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"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 180}, {0.6152015704378874, 1.5607999649251942`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0.6152015704378887},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
"Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0.6152015704378887},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 180}, {0.6152015704378874, 1.5607999649251942`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{3.9913355426284504`*^9},
CellLabel->
"Out[277]=",ExpressionUUID->"5f98f6f4-700b-0a4b-af1c-32125fed3e6a"]
}, Open ]],
Cell[BoxData[
RowBox[{"x", "=",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}], ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",", "30"}], "}"}]}], "]"}]}]], "Input",
CellChangeTimes->{
3.9918494141657047`*^9, {3.991849451432905*^9,
3.991849451715925*^9}},ExpressionUUID->"00a32bc3-df79-9e43-8f20-\
d4884962c12d"],
Cell[BoxData[
RowBox[{"Show", "[",
RowBox[{"x", ",", "xx"}], "]"}]], "Input",ExpressionUUID->"344da507-9044-\
ef47-aa8c-99f282e3d6d3"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "*", "x", "*", "x", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
FractionBox["h2", "Cb"], ")"}], "*", "x", "*", "y"}], "2"],
")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}], ")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
FractionBox["1", "Cb"], ")"}]}]],
RowBox[{"\[DifferentialD]", "y"}],
RowBox[{"\[DifferentialD]", "x"}]}]}]}], "//", "N"}]], "Input",
CellLabel->
"In[282]:=",ExpressionUUID->"f13d1bd8-d153-ae43-b041-68b993e77854"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"2.443621462424051`*^-173\\\", \
\\\"18274627092335829218864095445902180793856136322602419837579292998750581286\
734132469439962976751467383679745821507584000000000000000000000000\\\"]\\) is \
too small to represent as a normalized machine number; precision may be lost.\
\"", 2, 282, 273, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991337269930374*^9},
CellLabel->
"During evaluation of \
In[282]:=",ExpressionUUID->"318da404-8df4-c540-9269-2b249c7e148e"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.352709009016139`*^-176\\\", \
\\\"53288812601251278002207702320250759194884493516708656246381218384356695032\
116730280886932040207278890810138815516114944000000000000000000000000\\\"]\\) \
is too small to represent as a normalized machine number; precision may be \
lost.\"", 2, 282, 274, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372699413757`*^9},
CellLabel->
"During evaluation of \
In[282]:=",ExpressionUUID->"42939765-c33b-c147-a25b-bfa31c71a3cb"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"7.488155146821548`*^-180\\\", \
\\\"16119865811878511595667829951875854656452559288804368514530318561267900247\
2153109099682969421627018644700669916936247705600000000000000000000000000\\\"]\
\\) is too small to represent as a normalized machine number; precision may \
be lost.\"", 2, 282, 275, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991337269949375*^9},
CellLabel->
"During evaluation of \
In[282]:=",ExpressionUUID->"63b912c5-afab-654e-9609-c4b849e9abfe"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 282, 276, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372699573765`*^9},
CellLabel->
"During evaluation of \
In[282]:=",ExpressionUUID->"2c8999d2-d9b5-ef4e-a59d-c314a02b2b2a"],
Cell[BoxData["9.332200719005147`"], "Output",
CellChangeTimes->{3.9913372766841774`*^9},
CellLabel->
"Out[282]=",ExpressionUUID->"52013fca-4692-bf47-a0cf-880d71f10fc1"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"q", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox["1",
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]],
RowBox[{"(",
RowBox[{"4", "x", "*",
RowBox[{"(",
RowBox[{"x", "-", "J1"}], ")"}], "*",
RowBox[{"(",
RowBox[{"y", "-", "J2"}], ")"}], "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}], ")"}], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{{3.9918494640512295`*^9,
3.991849468375696*^9}},ExpressionUUID->"53e25fab-b431-cc42-a467-\
e4dea0353ed0"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.1126821353218566`*^-190\\\", \
\\\"66885981049744024409206719656442605103016018168204074959083835946452474281\
358493165635789279094374400000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 283,
277, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372767181473`*^9},
CellLabel->
"During evaluation of \
In[283]:=",ExpressionUUID->"285f997a-25b4-f647-9523-e0dd05446bae"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.0111242895395887`*^-194\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 283,
278, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372767281475`*^9},
CellLabel->
"During evaluation of \
In[283]:=",ExpressionUUID->"b1d2a50d-b27b-ca46-afcb-af9e8d59323e"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"9.188359338592283`*^-199\\\", \
\\\"37000682611300316760538828929435347293979472296876079508245570840752422828\
6944173776953285256179286120857600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 283,
279, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372767351475`*^9},
CellLabel->
"During evaluation of \
In[283]:=",ExpressionUUID->"a36c085c-b95e-724c-a04e-30924ab7ac52"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 283, 280, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991337276743145*^9},
CellLabel->
"During evaluation of \
In[283]:=",ExpressionUUID->"976edb68-80f3-5a4d-a255-2f217ec84bfa"],
Cell[BoxData["0.5406905105605413`"], "Output",
CellChangeTimes->{3.991337284091696*^9},
CellLabel->
"Out[283]=",ExpressionUUID->"b7107287-e519-1249-9ef0-b745347bdb78"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"S1", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox["1",
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]],
RowBox[{"(",
RowBox[{"4", "x", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"x", "-", "J1"}], ")"}], "2"], "*", "y", "*", "\[Pi]",
"*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}], ")"}], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{{3.9918494737320137`*^9,
3.9918494774550457`*^9}},ExpressionUUID->"b18c819e-620a-d449-97d6-\
547e3a6fa152"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.1126821353218566`*^-190\\\", \
\\\"66885981049744024409206719656442605103016018168204074959083835946452474281\
358493165635789279094374400000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 284,
281, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991337284131695*^9},
CellLabel->
"During evaluation of \
In[284]:=",ExpressionUUID->"2877ed71-3ee8-8044-94b0-c606083c07b7"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.0111242895395887`*^-194\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 284,
282, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991337284142767*^9},
CellLabel->
"During evaluation of \
In[284]:=",ExpressionUUID->"34cfc5a5-16b6-f24f-acdf-b4e2d29b1bef"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"9.188359338592283`*^-199\\\", \
\\\"37000682611300316760538828929435347293979472296876079508245570840752422828\
6944173776953285256179286120857600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 284,
283, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991337284150778*^9},
CellLabel->
"During evaluation of \
In[284]:=",ExpressionUUID->"7fe7bdbe-3892-5043-b38d-13721c83d41a"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 284, 284, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372841597614`*^9},
CellLabel->
"During evaluation of \
In[284]:=",ExpressionUUID->"93dfb0cd-55fb-1b4a-b671-37d180b9d444"],
Cell[BoxData["2.9943030245183917`"], "Output",
CellChangeTimes->{3.9913372907074146`*^9},
CellLabel->
"Out[284]=",ExpressionUUID->"372279b5-5e4a-b545-a159-384b26aa5ab4"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"S2", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox["1",
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]],
RowBox[{"(",
RowBox[{"4", "x", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"y", "-", "J2"}], ")"}], "2"], "*", "y", "*", "\[Pi]",
"*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}], ")"}], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{{3.991849482271084*^9,
3.9918494852683945`*^9}},ExpressionUUID->"22ab74c7-5916-9440-9d7d-\
c3e0f6ab8836"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.1126821353218566`*^-190\\\", \
\\\"66885981049744024409206719656442605103016018168204074959083835946452474281\
358493165635789279094374400000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 285,
285, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991337290744484*^9},
CellLabel->
"During evaluation of \
In[285]:=",ExpressionUUID->"c14c35e1-e487-c742-a0da-128fdb9754d4"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.0111242895395887`*^-194\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 285,
286, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991337290753483*^9},
CellLabel->
"During evaluation of \
In[285]:=",ExpressionUUID->"4396ed61-4d7e-6144-80f0-6d5649cfcb04"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"9.188359338592283`*^-199\\\", \
\\\"37000682611300316760538828929435347293979472296876079508245570840752422828\
6944173776953285256179286120857600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 285,
287, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372907615204`*^9},
CellLabel->
"During evaluation of \
In[285]:=",ExpressionUUID->"00fa2dcd-bc0b-9e44-9f00-15116f344aca"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 285, 288, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.99133729076952*^9},
CellLabel->
"During evaluation of \
In[285]:=",ExpressionUUID->"78b12bf1-7793-9341-ad5f-c7be406b8be6"],
Cell[BoxData["16.72305770548981`"], "Output",
CellChangeTimes->{3.991337294569908*^9},
CellLabel->
"Out[285]=",ExpressionUUID->"9454fa52-ff74-094b-8081-2fc86cf96043"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
FractionBox["q",
SqrtBox[
RowBox[{"S1", "*", "S2"}]]]], "Input",
CellChangeTimes->{{3.9918494889040737`*^9,
3.9918494971484394`*^9}},ExpressionUUID->"f9c66987-c237-7a40-a006-\
e20e260dbdcb"],
Cell[BoxData["0.07640873836855284`"], "Output",
CellChangeTimes->{3.9913372946009064`*^9},
CellLabel->
"Out[286]=",ExpressionUUID->"175eda7e-c091-3e4f-86ac-3148f0a9e904"]
}, Open ]],
Cell[BoxData[
RowBox[{"Clear", "[",
RowBox[{"J1", ",", "J2", ",", "Cb"}], "]"}]], "Input",
CellChangeTimes->{{3.9918495000311985`*^9, 3.9918495029810333`*^9},
3.9919248636163254`*^9},ExpressionUUID->"770a9ed7-7938-9e48-be64-\
c31719ef3a6b"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Qb1", "=",
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "1"}]], "*",
FractionBox[
RowBox[{"Ir", "*", "Il"}],
RowBox[{"Il", "+", "Ir"}]]}]}]], "Input",
CellLabel->
"In[288]:=",ExpressionUUID->"a401ff2f-0c49-174e-9005-1c04f93e9e0d"],
Cell[BoxData["7.13574266196526`"], "Output",
CellChangeTimes->{3.991337294629921*^9},
CellLabel->
"Out[288]=",ExpressionUUID->"e757c22c-d836-6c4a-a9f7-93553c4bb232"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"hb", "=",
SqrtBox[
FractionBox["Kb", "Qb1"]]}]], "Input",
CellLabel->
"In[290]:=",ExpressionUUID->"f96fdb9e-e8d1-c74d-a973-e9d03a063710"],
Cell[BoxData["1.4042291233212119`"], "Output",
CellChangeTimes->{3.9913372946629753`*^9},
CellLabel->
"Out[290]=",ExpressionUUID->"7f3ee547-87eb-d74d-8f21-a8d42f1dde52"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Cb", "=",
FractionBox[
RowBox[{"Qb1", "*", "hb"}], "1"]}]], "Input",
CellLabel->
"In[293]:=",ExpressionUUID->"199c667f-be6b-fd40-bac5-bf87b109f4eb"],
Cell[BoxData["10.020217662457247`"], "Output",
CellChangeTimes->{3.9913372947367725`*^9},
CellLabel->
"Out[293]=",ExpressionUUID->"0603b6e6-a8b7-1e45-9b15-2769b7fbc373"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"o1", "=",
RowBox[{
RowBox[{"1", "/",
RowBox[{"(",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]], "*", "Cb"}], "+",
RowBox[{"Cw", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], ")"}],
"2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}]], "Input",
CellLabel->
"In[294]:=",ExpressionUUID->"8666e95e-b2e9-2e4d-af31-7c0466f6da3f"],
Cell[BoxData["0.06674599726273667`"], "Output",
CellChangeTimes->{3.9913372947513313`*^9},
CellLabel->
"Out[294]=",ExpressionUUID->"8b7a346f-cdda-e24e-b924-d6cfb1b3119a"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{"2", "*", "x", "*", "x", "*", "o1", "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-", "x"}], "*", "x", "*", "o1"}]],
RowBox[{"\[DifferentialD]", "x"}]}]}]], "Input",
CellLabel->
"In[295]:=",ExpressionUUID->"3f821f99-4c61-8244-9f39-b02a8247a19c"],
Cell[BoxData["3.430301770911147`"], "Output",
CellChangeTimes->{3.9913372948636913`*^9},
CellLabel->
"Out[295]=",ExpressionUUID->"3354b35a-acef-b846-b770-8d2e77b8f68b"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"o2", "=",
RowBox[{
RowBox[{"1", "/",
RowBox[{"(",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]], "*", "Cb"}], "+",
RowBox[{"Cw", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.05", "*",
SuperscriptBox["10",
RowBox[{"-", "34"}]]}], ")"}], "2"],
RowBox[{"1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}]], ")"}],
RowBox[{"-", "2"}]]}]}]], "Input",
CellLabel->
"In[296]:=",ExpressionUUID->"95ae37d9-e738-da42-9bae-a0a492fc5380"],
Cell[BoxData["0.01266539131451536`"], "Output",
CellChangeTimes->{3.991337294877693*^9},
CellLabel->
"Out[296]=",ExpressionUUID->"7b76721b-3d4c-c544-9113-83ba4f36ae7f"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{"2", "*", "x", "*", "x", "*", "o2", "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-", "x"}], "*", "x", "*", "o2"}]],
RowBox[{"\[DifferentialD]", "x"}]}]}]], "Input",
CellLabel->
"In[297]:=",ExpressionUUID->"41f5782d-0fa9-2547-95fe-d8b549105a42"],
Cell[BoxData["7.874729317258519`"], "Output",
CellChangeTimes->{3.991337294976324*^9},
CellLabel->
"Out[297]=",ExpressionUUID->"e9346704-c478-364d-b5eb-0aabe0e2e350"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"h1", "=",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}],
")"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}]}],
")"}]}]}]], "Input",
CellLabel->
"In[298]:=",ExpressionUUID->"d97cbadb-6f95-5a47-9617-8d40bcea10e8"],
Cell[BoxData["0.7884625602161153`"], "Output",
CellChangeTimes->{3.9913372950022793`*^9},
CellLabel->
"Out[298]=",ExpressionUUID->"33b7f444-6995-e54b-a2a6-ad09016b1850"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"h2", "=",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], ")"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}]}],
")"}]}]}]], "Input",
CellLabel->
"In[299]:=",ExpressionUUID->"af5cf9f8-9590-ff48-8848-9396d3323464"],
Cell[BoxData["0.21153743978388478`"], "Output",
CellChangeTimes->{3.991337295013279*^9},
CellLabel->
"Out[299]=",ExpressionUUID->"76ba8e46-11c7-f54d-bfb2-cca1b455c838"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"h3", "=",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], ")"}], "*",
RowBox[{"(",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*", "f2"}],
")"}]}], ")"}], "/",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox["A1",
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*", "f1", "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b1"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b1", "*", "b1"}]}], ")"}]}], "+",
"\[IndentingNewLine]",
RowBox[{
FractionBox["2", "5"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1.3", "*",
SuperscriptBox["10",
RowBox[{"-", "15"}]]}], ")"}], "2"], "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"A", "-", "A1"}], ")"}],
RowBox[{"5", "/", "3"}]], "*",
FractionBox[
RowBox[{"931.5", "*", "1.6", "*",
SuperscriptBox["10",
RowBox[{"-", "13"}]]}],
RowBox[{"9", "*",
SuperscriptBox["10", "16"]}]], "*",
RowBox[{"(",
RowBox[{"1", "+",
RowBox[{
FractionBox["1", "2"],
SqrtBox[
FractionBox["5",
RowBox[{"4", "\[Pi]"}]]], "b2"}], "+",
RowBox[{
FractionBox["25",
RowBox[{"32", "\[Pi]"}]], "b2", "*", "b2"}]}], ")"}], "*",
"f2"}]}], ")"}], "2"]}]}]], "Input",
CellLabel->
"In[300]:=",ExpressionUUID->"bf95ea83-581e-f54f-a48e-b93e8f63083a"],
Cell[BoxData["0.16678935135356415`"], "Output",
CellChangeTimes->{3.991337295041279*^9},
CellLabel->
"Out[300]=",ExpressionUUID->"f7c29774-2634-5546-ab63-4d3ac6889f79"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"J1", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "x", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{
3.991849517192892*^9},ExpressionUUID->"55d51961-97f2-ed4d-8bf8-\
8a461d652ab4"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.5023512908051311`*^-195\\\", \
\\\"30278850633655058582710149233337530603447722122319635563188698934564270838\
098005054611040868761600000000000000000000\\\"]\\) is too small to represent \
as a normalized machine number; precision may be lost.\"", 2, 301, 289,
24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372950662746`*^9},
CellLabel->
"During evaluation of \
In[301]:=",ExpressionUUID->"3d5a1265-fb27-0b41-a549-5e326650d270"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.739446301903759`*^-200\\\", \
\\\"66885981049744024409206719656442605103016018168204074959083835946452474281\
358493165635789279094374400000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 301,
290, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991337295076277*^9},
CellLabel->
"During evaluation of \
In[301]:=",ExpressionUUID->"0726d23e-32d7-7a41-8d7f-0b62fec75437"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"5.083892304770298`*^-204\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 301,
291, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372950842743`*^9},
CellLabel->
"During evaluation of \
In[301]:=",ExpressionUUID->"b47482ef-bec0-234f-aeb7-9009a378a36d"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 301, 292, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372950922775`*^9},
CellLabel->
"During evaluation of \
In[301]:=",ExpressionUUID->"e5e35e3a-0e40-c249-b6f3-c2a6a5a48740"],
Cell[BoxData["3.430301770911144`"], "Output",
CellChangeTimes->{3.991337298790371*^9},
CellLabel->
"Out[301]=",ExpressionUUID->"b33776d0-2a41-694b-9af8-c4d483383e7c"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"J2", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "y", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{
3.991849520751028*^9},ExpressionUUID->"9704b9d3-b449-2144-9970-\
6a7de047241d"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.5023512908051311`*^-195\\\", \
\\\"30278850633655058582710149233337530603447722122319635563188698934564270838\
098005054611040868761600000000000000000000\\\"]\\) is too small to represent \
as a normalized machine number; precision may be lost.\"", 2, 302, 293,
24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372988243732`*^9},
CellLabel->
"During evaluation of \
In[302]:=",ExpressionUUID->"ffb6a3c0-c488-cd48-870e-d66051362026"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.739446301903759`*^-200\\\", \
\\\"66885981049744024409206719656442605103016018168204074959083835946452474281\
358493165635789279094374400000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 302,
294, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372988343716`*^9},
CellLabel->
"During evaluation of \
In[302]:=",ExpressionUUID->"ca3fb11a-47f9-c542-a5c9-6e0087e110b9"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"5.083892304770298`*^-204\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 302,
295, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372988425922`*^9},
CellLabel->
"During evaluation of \
In[302]:=",ExpressionUUID->"7e4a0639-38a1-f74e-ab8e-5264cad2d48c"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 302, 296, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913372988505898`*^9},
CellLabel->
"During evaluation of \
In[302]:=",ExpressionUUID->"101eaea3-75b1-d942-9914-a0fe8a6e2f65"],
Cell[BoxData["7.87472931725852`"], "Output",
CellChangeTimes->{3.991337302457178*^9},
CellLabel->
"Out[302]=",ExpressionUUID->"921a9c76-dcb9-484a-bc19-88ddead9467a"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"a", "=",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{
RowBox[{
FractionBox["1", "1"],
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "y", "*", "\[Pi]"}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y", "*",
RowBox[{"Cos", "[",
FractionBox[
RowBox[{"z", "*", "\[Pi]"}], "180"], "]"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], ")"}]}], "//", "N"}], ",",
RowBox[{"{",
RowBox[{"z", ",", "0", ",", "180"}], "}"}]}], "]"}]}]], "Input",
CellChangeTimes->{
3.991849523511486*^9},ExpressionUUID->"0fd90636-7592-fc40-bf9d-\
ae1cb915c656"],
Cell[BoxData[
GraphicsBox[
InterpretationBox[{
TagBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2],
Opacity[1.], LineBox[CompressedData["
1:eJwV1Hk4Fe0bB3BE9lKKIrJLZemIKHnu7GSLsi/Hcc5YElmSUqQslSV5FXnL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"]]},
Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
{"WolframDynamicHighlight", <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}],
StyleBox[
DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {},
Slot["HighlightElements"],
Slot["LayoutOptions"],
Slot["Meta"],
Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwV1Hk4Fe0bB3BE9lKKIrJLZemIKHnu7GSLsi/Hcc5YElmSUqQslSV5FXnL
ViRZQmRPpV5J8SuVlFDm0LFmOae0+D3+mGuuzzUz3/k+91zzyNNCHBg8XFxc
Y/hYPoe+0lB90PPKkEd38MofgoMMp27p0EzKkMDFQb1lD+XpZiqZNKN300z5
39j29JcrRbSfoqLCBftF7Kqo2Cd8Jl2IwifyjIN94dmGttjS/6GKgq1x89gN
PaG5vylvUZeaw9kZbFZ/56kTTX3obuS55+PYUqSiO9v4E/p5/qETE3v/9Cn9
8K5B1Heef+sQdutvlnBU6TDqe+ph/AH7XZxkdF3wV7TxQVvh/7CnVpqw5ikk
kv210+I59sqUo67aHCYad27SbsOWXXOjI7RpDC01HmLUYdtKs4unjCeQwuru
nHxsIl9BQl1gCh3Pr87NxI5Vtks43DWNkqJqxpKw+yR7d0SUfkcO05J2Qdh0
t8CAf1Jm0YeAuMOe2DPXuQqqg+dQ6RfxVzbYAgrqYt8pCyhF7xFjO3Ym/Ym5
2Ho2atr+NUcKW+62a6wmh40u2RhICGDrbU+cOtL0A3XP3xwcYnCQv+5gF8v4
N3qS2dZyAXs+6hivkMof5HhlrXIY9pkmYQM1gb8oPu7ha1fsbNC769e1hH6M
GnKrYtOLOkzCSrmhQzz4bj2dg0qf/TMUJ80D7Hgts3+xZ0a9Tl1O4YEbx6JV
T2Of2rpQcy94BfhcaG8xxM6slFecpvABdXFQv8GXg/p7Jlr/3uSDk70Fglex
5WYfuK1avxIolxXlwrDLdtpmqHNWAlgnyG/Bbm84yR3UJAAPL+ZHJtM4aOHJ
m8ExYxHQ9SkL1fThoLXWImLRrSKg9UKr8TeVg7R6TUBUXxRGxAvUnmMHjtTm
79BYBTYdUae9sY/ydGntFREDC9UTi3HeHEQqVHxPYK8BhxYxp1xPPB+iU7Bb
ey14PXwh7oXNc5cpvyF0LcwuuvzchC2nvdmhdHwtRHNtM8j24CA34/TqV0Pi
ULo6tjDenYO6fcPCJV+sh90Ritw6rhz0+XZaMlVAAowshExGXThoYrz05h1T
CRj/9LkyG1so4uubPW0SYEzN4/npzEEm8Qd3UmsloXH27tVKJw5qvKW7UJK3
EXZJiiXPO3LQLXIxcneEDAR8vAqfbTjI4lDS5/ByGaAtZLacwp5oFzcrZ8rA
ubmEOCnsnbe2r5dzlYVh9SufHa3xPGleNXyGm8FO5NF0ixUHzU4PHR87Jwey
/ulxIeYcJH7E5H6NjQK0hrF5LYGDmLeE/O0DsUc3pfQgDqr/1CM9magAwu2K
ns7YHtae51TaFMDRfPcAzRD32xbpcI2iCPqVfi6hBvj9rNszMZJK0O2i6hCk
x0EH/YTVrYaV4ZPi5/UfNTkIRR6iOP9RBoO7MwO22FsT8nbRN6pAhqDT4iMN
DuK6qW0Uc0AFDq5O0SpW56Dyz+7O1Y9UwKWz+wqxDf+fTmVxUoWqQI095vmf
Cu5nYvOORVMDku99raAMB0krXIpNHtkO15LLs7L5Oaj54rzaTx51sJPeOvt6
Je4/59pLyKvD2Y97UkSwc9uV1Iy81EFC90PsaV4OUvBrfP3jvTpslt8U6MSN
+5WRysQLDVAPtY4YWWQjGWlZQs5VC1R6H9SETbLR9qIIkV+IApOU8b+0Hjai
0c8tqNtSIOR4j2RsNxtlK2Z8pnpQoKnaODPnFRutKKy89yyKAt9KL9R3d7FR
fy7rYEYVBe4nptdQnrPRhWzqDTVFbTDQbf/34yM2YiZba7is3AmkR0V0YzUb
FYQp2dd26cBEFmWpLoONeiLRrvgifdhsW7itzpSN5L3e2noG7YWgxMVLb2YW
EGOprkLmBADvOMPJLmcBSY7X80vSjMATvUSZOgsoQtvgU8ZWEzC8IFIk9noe
0SZ/d4izTOHkv6pvHYLmUblROH9etzl8I/bvsVicQ7fmAx+VZVrCwR38J6mp
c+jHvg0v22P3w2nDIHRt/Rwa4FrxfdjHBlabfrfckTeLgjeFpMcp2oFo8YRI
l9YsqgjoaLuSYA+toVeU+xq+o5NzGznbAg7AlhhW+1br72jByszpP28HKKo9
6er3fgbpu1/eRx5whHq2fx3hN4Neb7wR2K59EGocoq/e5Z5BUsXnmku2HIKi
tAXitPo0qh/aam0r6gQ5m3mpdUFTSLZ3xi9y0gl+pJqxsuomkfaVy2U3h5zh
vOILxXU/J9AN3jmNjCcucE34nbSw/QSq26fZn9DgCp39ftGXC8ZR9q6La36X
ugEXwarau8RC3R+LErVT3CFSf9UZZggL1dpcVzp6xgM2LCWSJgPf0PcjjlzB
dE8IYE6oF3l8Qwtmav5Txl4wElj7bS9zDJVMfvgRrusNLINetlXwGHIpKPL1
FKHC0c5pzf0rx1BN9X7vFUlUIC5mm6/JHUX60q9/XvhJhfTH34zzTUaR4pBf
//8CfMAtx9hm1zwTjQgftrv+1QfCe72O8RYxUU+ara/5IRqo5ai5x9OYKDMq
T/hYDw2YgzGlAQpM1Ny69NPX0hey1GR/BYyTaLUHJGk3+sLfb8+cpR6SSG7d
f92bmn0hwSp63L+VRFpdNhtWtvoC4Zn3+0ELiRwM3O/0PfKFfXdls5ybSZS5
KfLF6ee+sEPFsex6A4mkBu6u7ujzhRKDAAfD+yRS8pLE26YvuGbX0AfvkEif
OlWSsJMOEUVCAVlXSVR8bSbcVpcOF3fMD6zCXvdm1lBSjw48lX9aE6+QaMqU
01uyhw40XurT45kk3m+4uLuM6FDrP/3FK4NEqzhrXNceoIOhZrnnvjQSjaTq
COYdoUPSuiEd50QSHfhvV69fCB0KD/GqfkogUSvX7jytUDoEOXee88G+Fm6o
8ziCDsG5288ciSeRrau5DxlNB2/W8LmLZ0nUoOTasO0izv/yrqYvhkRpTacC
6ovp4F7cfv3pcRIdoWTpR5XQYWdGl7wbtvWdKkG9UjqM9b8XnY4kkVAW886D
cjpk9IxLSWEnhNmz6u7TIV2kSuBYBIlOqSkdrn1MB9XNPzQNQ0kUmPUiqPoz
HVJmLLNlDpPIchXTIGyIDqeVXnJaA0m0JYFLlPKFDseuzbVQsZlhOuVVJB30
eDfHFAWQyMc2b/LeBJ5PVcFLbX8SufCFB1cu0iHtxlSxL4NE5uFSR8skGKDb
w60lRiXR47xEq4wNDChmqR194E0ig65ZpSgpBmxUf7jFG1tL+cUHY1kG9JQq
rbjnRaKN76ONPyozYIId7+HsSaLx3QMSQjoMMK6dy212I9ElnvwWP0cGWFLV
bIcP4fVrimTbHGKAfYvu1SzsePeoMG1nBjiqHHKyxY66b6+65MYA04pGw5aD
uD/BffkqjQEDMUOV+Y4k0u6k0Z+GMsBMir4m5gCJ3l9WFlZMZ4DD7bS2DBsS
VSBR/7HLDHhpc2faHTt+cr69/B8GOM+IJiljUyzbY/SycF9axVSDNf5+XL6z
NrkMCDeSKRjdTyKzkPwPUWUMqEo1v+xkRSIZmfO6hhUM+Gi910QFe74z5J8V
9xjwgerrzbYkUaEKskmrYcCF1N2vsrD/DAy03WxkwK2P46mDFiS6by1d8qqD
AfVfpTPPmpMoeZGHL7OTAVlugc9dsGklLB/XLgbQal8TmthivI3SI914/uPj
HwbMSBTU5HLp5zu83sFNBQhbcevVSCWSAd63/KolTEm0+P70m29MBjyaf+g/
Z0KingSGVuUYA/bPyib1YMcM72TpTzAgLHviVzJ2f/YbT7s5BrxtLXnKj53B
v8b0JDcBQ4ltfWuNSdQ8O+AesYKA13XlzbNGJBodKA0L5iNAV2iLwhtsg/sm
+TRBAmo0HoZewWZSo35ZrSEgRMxJUQ5bzNp0rak4AXf6L4rzYu/ZtVYNrSfA
OMw4YWwfidJFy5y0NxJAbd0zWY29p3GwSlqegIPvt3XbYBNFZR3rFQkQYfu8
0Fm+P/3E4GplAgy7xS1lsZmEuCivGgEZ/KMdM4Cvi5v7T2gRcFtQu/9f7Ma/
4rFMCgHSDhpfkrDJb0NXhnYScD8h93AE9u62k0969QgYLO7nscMeCaqQbQEC
ZOvLjYSwV7lE6zwwIsBNxsBpEeH9ydjCusqEAPoX/XEWdtrGLyeKLPB6VOKu
vcSu561Mz7PCfWOfVz/E/jodffuaNQFHx2NsqrH1nq1/m2pPwGOWBv81bFrV
l/EkB/y+M1tUUrFTr1fynD1IgIBG6rM47C9hllqRLgRQxK4mB2GLekmYH3Uj
IDZE/x5tOc/yq2egBwEWe82cXJef33w62YtKQEx1jorFch8hq0IXGgGHy4ft
YTlvQaLBgY7zW9N/6y3nDX/ttiYIeJZzW42ynNd1j2nmT4DpknLftuV+D07/
gUACBMuEBVSW8wut1u0Jwv0Jlwa55fxUyW06wQQYLApPSC/nR43s0zxKgJGu
Sr4ktgi9ykUtjICC6eK34ti77GJCFCMICORKSxFbzt+9P1EmkoAc84/totgp
yhtuSEYRYHsnLUYYu06MrFlzkoB7q0oaBLGHf1V1Cp8i4BdDNVJgOX80Zpgv
hoDzhSL3+bF1X+//sRRLQH2zc/iy/w/zReCc
"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 180}, {0.6639439823901716,
1.4626441816684523`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0.663943982390173},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1),
"DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" ->
False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>]]& )[<|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 180}, {0.6639439823901716,
1.4626441816684523`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0.663943982390173},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1),
"DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>],
ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
4.503599627370496*^15, -4.503599627370496*^15}}],
Selectable->False]},
Annotation[{{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwV1Hk4Fe0bB3BE9lKKIrJLZemIKHnu7GSLsi/Hcc5YElmSUqQslSV5FXnL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"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 180}, {0.6639439823901716, 1.4626441816684523`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0.663943982390173},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
"Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0.663943982390173},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 180}, {0.6639439823901716, 1.4626441816684523`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{3.991337564416748*^9},
CellLabel->
"Out[303]=",ExpressionUUID->"09d149ec-0259-a345-a282-743f783e7913"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"x", "=",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox[
RowBox[{"4", "x", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}], ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",", "30"}], "}"}]}], "]"}]}]], "Input",
CellChangeTimes->{
3.9918495265156612`*^9, {3.991849580574194*^9,
3.9918495807911797`*^9}},ExpressionUUID->"90696e8b-5a2d-314c-8d58-\
ac84cb8f4d66"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"4.976253354341118`*^-271\\\", \
\\\"384956219213331276939737002152967117209600000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 304,
297, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991337564646551*^9},
CellLabel->
"During evaluation of \
In[304]:=",ExpressionUUID->"526ffad5-83ae-c149-9912-e494135b3fca"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"2.718150004511881`*^-282\\\", \
\\\"240597637008332048087335626345604448256000000000000\\\"]\\) is too small \
to represent as a normalized machine number; precision may be lost.\"", 2,
304, 298, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913375646565304`*^9},
CellLabel->
"During evaluation of \
In[304]:=",ExpressionUUID->"1adb1680-bdf2-4144-bcc9-7270c61e97b7"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.4847193100774497`*^-293\\\", \
\\\"162644002617632464507038883409628607021056000000000000\\\"]\\) is too \
small to represent as a normalized machine number; precision may be lost.\"",
2, 304, 299, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913375646656475`*^9},
CellLabel->
"During evaluation of \
In[304]:=",ExpressionUUID->"9e5d82d5-642b-cb46-8232-be5a5ca7050d"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 304, 300, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913375646736584`*^9},
CellLabel->
"During evaluation of \
In[304]:=",ExpressionUUID->"ef931413-f964-5b45-a755-76cab1ab5309"],
Cell[BoxData[
GraphicsBox[
InterpretationBox[{
TagBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2],
Opacity[1.], LineBox[CompressedData["
1:eJwVl3c8le8bx+0ZSUj2djjnlBDfpOe6VJSREKIoFdKw9whJyqiIIkrIqJRo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"]]},
Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
{"WolframDynamicHighlight", <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}],
StyleBox[
DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {},
Slot["HighlightElements"],
Slot["LayoutOptions"],
Slot["Meta"],
Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwVl3c8le8bx+0ZSUj2djjnlBDfpOe6VJSREKIoFdKw9whJyqiIIkrIqJRo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"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 15}, {0., 0.22160540372702894`}},
"Frame" -> {{False, False}, {False, False}},
"AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio},
"Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" ->
GoldenRatio^(-1), "DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" ->
False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>]]& )[<|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 15}, {0., 0.22160540372702894`}},
"Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1),
"DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {
Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>],
ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
4.503599627370496*^15, -4.503599627370496*^15}}],
Selectable->False]},
Annotation[{{{{}, {},
Annotation[{
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]],
Line[CompressedData["
1:eJwVl3c8le8bx+0ZSUj2djjnlBDfpOe6VJSREKIoFdKw9whJyqiIIkrIqJRo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"]]}, "Charting`Private`Tag#1"]}}, {}}, <|
"HighlightElements" -> <|
"Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>,
"LayoutOptions" -> <|
"PanelPlotLayout" -> <||>,
"PlotRange" -> {{0, 15}, {0., 0.22160540372702894`}},
"Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0},
"ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True},
"LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
Directive[
Opacity[1.],
RGBColor[0.368417, 0.506779, 0.709798],
AbsoluteThickness[2]]},
"HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ),
"ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
"Primitives" -> {}, "GCFlag" -> False|>,
"Meta" -> <|
"DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" ->
Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 15}, {0., 0.22160540372702894`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{3.9913381496467495`*^9},
CellLabel->
"Out[304]=",ExpressionUUID->"23497d29-f516-664b-9ee0-ea8f6d88359c"]
}, Open ]],
Cell[BoxData[
RowBox[{"Show", "[",
RowBox[{"x", ",", "xx"}], "]"}]], "Input",
CellChangeTimes->{{3.9917994642649307`*^9,
3.991799466675585*^9}},ExpressionUUID->"ea848967-083d-ea47-bce0-\
5c3b93725916"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox[
RowBox[{"4", "*", "x", "*", "x", "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
FractionBox["h2", "Cb"], ")"}], "*", "x", "*", "y"}], "2"],
")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}], ")"}]}],
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
FractionBox["1", "Cb"], ")"}]}]],
RowBox[{"\[DifferentialD]", "y"}],
RowBox[{"\[DifferentialD]", "x"}]}]}]}], "//", "N"}]], "Input",
CellLabel->
"In[308]:=",ExpressionUUID->"cee00bc1-3ccc-914d-8ba9-008ac67b1c9c"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"5.611115182999938`*^-175\\\", \
\\\"65057412219066675752453169974731864698669050632262085573439989315594807001\
54550540918463145870938904834370174976000000000000000000000000\\\"]\\) is too \
small to represent as a normalized machine number; precision may be lost.\"",
2, 308, 309, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.99133920579224*^9},
CellLabel->
"During evaluation of \
In[308]:=",ExpressionUUID->"100796fd-6fde-3c41-9088-c2d3ae2f8aeb"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"2.5007447195984937`*^-178\\\", \
\\\"18274627092335829218864095445902180793856136322602419837579292998750581286\
734132469439962976751467383679745821507584000000000000000000000000\\\"]\\) is \
too small to represent as a normalized machine number; precision may be lost.\
\"", 2, 308, 310, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913392058022385`*^9},
CellLabel->
"During evaluation of \
In[308]:=",ExpressionUUID->"c91e75b4-9e2b-1e49-a5d5-453d5f87b5e3"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.1145242877114216`*^-181\\\", \
\\\"53288812601251278002207702320250759194884493516708656246381218384356695032\
116730280886932040207278890810138815516114944000000000000000000000000\\\"]\\) \
is too small to represent as a normalized machine number; precision may be \
lost.\"", 2, 308, 311, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991339205811241*^9},
CellLabel->
"During evaluation of \
In[308]:=",ExpressionUUID->"5d8ad6a4-5b83-df49-8c4d-081081895528"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 308, 312, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913392058197193`*^9},
CellLabel->
"During evaluation of \
In[308]:=",ExpressionUUID->"26eed7af-5e0a-e840-9956-caca06166010"],
Cell[BoxData["9.33220071900515`"], "Output",
CellChangeTimes->{3.9913392124888554`*^9},
CellLabel->
"Out[308]=",ExpressionUUID->"e4e35b92-e786-3044-bf1d-9c587b1357a2"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"q", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox["1",
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]],
RowBox[{"(",
RowBox[{"4", "x", "*",
RowBox[{"(",
RowBox[{"x", "-", "J1"}], ")"}], "*",
RowBox[{"(",
RowBox[{"y", "-", "J2"}], ")"}], "*", "y", "*", "\[Pi]", "*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}], ")"}], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{{3.991849547748472*^9,
3.9918495528702526`*^9}},ExpressionUUID->"80bba3bc-d8f7-1c4b-9262-\
0895c02ffd8f"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.5023512908051311`*^-195\\\", \
\\\"30278850633655058582710149233337530603447722122319635563188698934564270838\
098005054611040868761600000000000000000000\\\"]\\) is too small to represent \
as a normalized machine number; precision may be lost.\"", 2, 309, 313,
24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913392125258827`*^9},
CellLabel->
"During evaluation of \
In[309]:=",ExpressionUUID->"6b65fc2b-3e1d-714d-aeb9-43978836a621"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.739446301903759`*^-200\\\", \
\\\"66885981049744024409206719656442605103016018168204074959083835946452474281\
358493165635789279094374400000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 309,
314, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991339212535879*^9},
CellLabel->
"During evaluation of \
In[309]:=",ExpressionUUID->"c4736a05-b0e1-5e49-b581-f3ce4c83fe21"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"5.083892304770298`*^-204\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 309,
315, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913392125438805`*^9},
CellLabel->
"During evaluation of \
In[309]:=",ExpressionUUID->"ae8eb83c-0205-8046-8445-e249896b7ee5"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 309, 316, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913392125518837`*^9},
CellLabel->
"During evaluation of \
In[309]:=",ExpressionUUID->"5072d590-62c3-7a47-ae1b-6dd617a0b9dc"],
Cell[BoxData["0.41157157699018565`"], "Output",
CellChangeTimes->{3.9913392196090164`*^9},
CellLabel->
"Out[309]=",ExpressionUUID->"8dd7e1f9-bbea-d84b-ad0e-8922158aee9e"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"S1", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox["1",
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]],
RowBox[{"(",
RowBox[{"4", "x", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"x", "-", "J1"}], ")"}], "2"], "*", "y", "*", "\[Pi]",
"*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}], ")"}], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{{3.9918495568340263`*^9,
3.991849559359928*^9}},ExpressionUUID->"57976ffc-56f1-604b-8519-\
bead95265db8"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.5023512908051311`*^-195\\\", \
\\\"30278850633655058582710149233337530603447722122319635563188698934564270838\
098005054611040868761600000000000000000000\\\"]\\) is too small to represent \
as a normalized machine number; precision may be lost.\"", 2, 310, 317,
24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913392196440163`*^9},
CellLabel->
"During evaluation of \
In[310]:=",ExpressionUUID->"7ab877ea-0e4b-f948-97c2-7ebafb7901b1"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.739446301903759`*^-200\\\", \
\\\"66885981049744024409206719656442605103016018168204074959083835946452474281\
358493165635789279094374400000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 310,
318, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913392196535416`*^9},
CellLabel->
"During evaluation of \
In[310]:=",ExpressionUUID->"a87a57c5-24bc-dc4a-888a-b3c0095c10c4"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"5.083892304770298`*^-204\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 310,
319, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991339219661541*^9},
CellLabel->
"During evaluation of \
In[310]:=",ExpressionUUID->"d8af7fb1-1d43-664e-ae2d-698eaa818746"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 310, 320, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991339219670542*^9},
CellLabel->
"During evaluation of \
In[310]:=",ExpressionUUID->"7abec434-52e8-c64c-ac86-90da0b27b8aa"],
Cell[BoxData["3.215201591157595`"], "Output",
CellChangeTimes->{3.9913392268711624`*^9},
CellLabel->
"Out[310]=",ExpressionUUID->"164a4c34-f121-a445-b434-e34aa59666ab"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"S2", "=",
RowBox[{
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
RowBox[{"(",
RowBox[{
SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"],
RowBox[{
FractionBox["1",
RowBox[{"\[Pi]", "*", "Cw", "*", "Cb"}]],
RowBox[{"(",
RowBox[{"4", "x", "*",
SuperscriptBox[
RowBox[{"(",
RowBox[{"y", "-", "J2"}], ")"}], "2"], "*", "y", "*", "\[Pi]",
"*",
RowBox[{"(",
RowBox[{
UnderoverscriptBox["\[Sum]",
RowBox[{"n", "=", "0"}], "100"],
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"2",
RowBox[{"(",
RowBox[{
RowBox[{"-",
FractionBox["1", "Cw"]}], "+",
FractionBox["h3", "Cb"]}], ")"}], "*", "x", "*", "y"}],
"2"], ")"}],
RowBox[{"2", "*", "n"}]], "*",
SuperscriptBox[
RowBox[{"(",
FractionBox["1",
RowBox[{"Factorial", "[", "n", "]"}]], ")"}], "2"]}]}],
")"}]}], ")"}], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
SuperscriptBox[
RowBox[{"(", "x", ")"}], "2"], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h1", "*", "h1"}], "Cb"]}], ")"}]}]], "*",
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"y", "*", "y"}], "1"]}],
RowBox[{"(",
RowBox[{
FractionBox["1", "Cw"], "+",
FractionBox[
RowBox[{"h2", "*", "h2"}], "Cb"]}], ")"}]}]],
RowBox[{"\[DifferentialD]", "x"}]}]}], ")"}],
RowBox[{"\[DifferentialD]", "y"}]}]}], "//", "N"}]}]], "Input",
CellChangeTimes->{{3.991849563755764*^9,
3.991849566543682*^9}},ExpressionUUID->"cfa37210-3ae7-3f49-b290-\
f19508c6d2f1"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1.5023512908051311`*^-195\\\", \
\\\"30278850633655058582710149233337530603447722122319635563188698934564270838\
098005054611040868761600000000000000000000\\\"]\\) is too small to represent \
as a normalized machine number; precision may be lost.\"", 2, 311, 321,
24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991339226907137*^9},
CellLabel->
"During evaluation of \
In[311]:=",ExpressionUUID->"92295db4-13f0-284e-8173-df7f8dd20dcf"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"8.739446301903759`*^-200\\\", \
\\\"66885981049744024409206719656442605103016018168204074959083835946452474281\
358493165635789279094374400000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 311,
322, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.991339226917137*^9},
CellLabel->
"During evaluation of \
In[311]:=",ExpressionUUID->"c6280e41-1347-0f47-81a9-bcd3687b7b73"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"5.083892304770298`*^-204\\\", \
\\\"15410530033861023223881228208844376215734890585954218870572915802062650074\
4249968253624858499033438617600000000000000000000\\\"]\\) is too small to \
represent as a normalized machine number; precision may be lost.\"", 2, 311,
323, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913392269251385`*^9},
CellLabel->
"During evaluation of \
In[311]:=",ExpressionUUID->"2aa0f4b1-01ca-4644-884e-b759d4a75412"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 311, 324, 24483298974280422597, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.9913392269341373`*^9},
CellLabel->
"During evaluation of \
In[311]:=",ExpressionUUID->"ab3c3bff-179e-9f4e-b56a-87d1b4f6fc04"],
Cell[BoxData["16.94395627212904`"], "Output",
CellChangeTimes->{3.9913392304284153`*^9},
CellLabel->
"Out[311]=",ExpressionUUID->"f5b8154f-e61e-6a4e-b068-b6c1916773ef"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
FractionBox["q",
SqrtBox[
RowBox[{"S1", "*", "S2"}]]]], "Input",
CellChangeTimes->{{3.991849569404436*^9,
3.991849573855135*^9}},ExpressionUUID->"7457b456-6d32-5b44-9679-\
346c5f5ac532"],
Cell[BoxData["0.05576142449710889`"], "Output",
CellChangeTimes->{3.9913392304624157`*^9},
CellLabel->
"Out[312]=",ExpressionUUID->"14434839-d5cf-b844-b849-b3b3102df434"]
}, Open ]]
},
WindowSize->{718.5, 729.75},
WindowMargins->{{1.5, Automatic}, {Automatic, 8.25}},
CellContext->Notebook,
FrontEndVersion->"14.1 for Microsoft Windows (64-bit) (July 16, 2024)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"e3389233-59d2-de40-a8d1-08f2aab11400"
]
(* End of Notebook Content *)
(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[554, 20, 147, 4, 28, "Input",ExpressionUUID->"c5bb4ac7-6666-c043-9d96-2dda1d801f63"],
Cell[704, 26, 154, 3, 28, "Input",ExpressionUUID->"93cad80c-1de7-2e4b-9b8c-14a272e65d1f"],
Cell[861, 31, 149, 4, 28, "Input",ExpressionUUID->"1dc76a14-b094-5f49-81bb-fc37192f9bb8"],
Cell[1013, 37, 152, 3, 28, "Input",ExpressionUUID->"15fe72e6-19f0-9540-b29f-3056e2e0b957"],
Cell[CellGroupData[{
Cell[1190, 44, 1301, 43, 113, "Input",ExpressionUUID->"5e48fe0c-b3e8-2b40-82cb-716b23b2f326"],
Cell[2494, 89, 178, 3, 32, "Output",ExpressionUUID->"1db85c02-7ca3-154e-854d-2c36f89709c4"]
}, Open ]],
Cell[CellGroupData[{
Cell[2709, 97, 910, 31, 56, "Input",ExpressionUUID->"e4db2648-4e1a-2c46-83ab-fcd932c3b663"],
Cell[3622, 130, 175, 3, 32, "Output",ExpressionUUID->"78ed190c-23cd-4d45-867a-2b08174b715f"]
}, Open ]],
Cell[CellGroupData[{
Cell[3834, 138, 885, 30, 56, "Input",ExpressionUUID->"e4649c3d-e19e-ca42-95a0-23b66397f1fd"],
Cell[4722, 170, 177, 3, 32, "Output",ExpressionUUID->"82ec2512-4fcb-ba44-b472-bb3a66bb622e"]
}, Open ]],
Cell[CellGroupData[{
Cell[4936, 178, 558, 19, 52, "Input",ExpressionUUID->"4fce6da4-52eb-2241-95d7-07a3b02da5a3"],
Cell[5497, 199, 173, 3, 32, "Output",ExpressionUUID->"9d53fa4a-be54-7b42-83bd-0a5560193c0f"]
}, Open ]],
Cell[CellGroupData[{
Cell[5707, 207, 623, 21, 52, "Input",ExpressionUUID->"3d3ac48f-4615-f84c-a7f7-5378c3c65118"],
Cell[6333, 230, 170, 3, 32, "Output",ExpressionUUID->"4107fa63-a138-df48-a95c-ec944a983800"]
}, Open ]],
Cell[CellGroupData[{
Cell[6540, 238, 170, 5, 56, "Input",ExpressionUUID->"2286abae-ff28-304a-8f7b-c48840716d4d"],
Cell[6713, 245, 173, 3, 32, "Output",ExpressionUUID->"f894fb1d-1550-5146-a259-dfa871655c2a"]
}, Open ]],
Cell[CellGroupData[{
Cell[6923, 253, 170, 5, 55, "Input",ExpressionUUID->"373925b1-ddd5-2947-b051-4d47d7cbfb42"],
Cell[7096, 260, 170, 3, 70, "Output",ExpressionUUID->"8d5b13a4-8c75-0f48-ab21-9720bb8c0cbc"]
}, Open ]],
Cell[CellGroupData[{
Cell[7303, 268, 181, 5, 70, "Input",ExpressionUUID->"797e30a2-55b1-ab41-8ec1-6f1890b0cafa"],
Cell[7487, 275, 171, 3, 70, "Output",ExpressionUUID->"4d4b493f-9f2d-1e41-979f-fb4d58d0e93a"]
}, Open ]],
Cell[CellGroupData[{
Cell[7695, 283, 181, 5, 70, "Input",ExpressionUUID->"b6758968-60a5-bf4f-af97-c0234fd45ae7"],
Cell[7879, 290, 173, 3, 70, "Output",ExpressionUUID->"e40db20b-c65e-4a45-ba96-abcb59b0d0ac"]
}, Open ]],
Cell[CellGroupData[{
Cell[8089, 298, 6055, 185, 70, "Input",ExpressionUUID->"3c10b649-f7fb-634c-9567-a2802f1a91e4"],
Cell[14147, 485, 175, 3, 70, "Output",ExpressionUUID->"cdf81fea-e12a-2b44-81a8-222b4bbf8a86"]
}, Open ]],
Cell[CellGroupData[{
Cell[14359, 493, 368, 9, 70, "Input",ExpressionUUID->"3d9772dc-d09e-7e42-a8c3-34b35177c0b5"],
Cell[14730, 504, 170, 3, 70, "Output",ExpressionUUID->"181dc1c8-632b-4b43-91c4-d3626d65bfc7"]
}, Open ]],
Cell[CellGroupData[{
Cell[14937, 512, 6122, 187, 70, "Input",ExpressionUUID->"69710763-10b6-9e4b-a03e-04503cc982f3"],
Cell[21062, 701, 175, 3, 70, "Output",ExpressionUUID->"c7d972b4-764c-954a-8260-240d49cfcff6"]
}, Open ]],
Cell[CellGroupData[{
Cell[21274, 709, 368, 9, 70, "Input",ExpressionUUID->"21d4dc0d-49aa-e14b-a672-a791a49cb67d"],
Cell[21645, 720, 172, 3, 70, "Output",ExpressionUUID->"c285a758-c3ad-974b-93c3-4cb0d4bdd2ae"]
}, Open ]],
Cell[CellGroupData[{
Cell[21854, 728, 2663, 88, 70, "Input",ExpressionUUID->"53b2f62f-bbcf-e747-be67-34e0ed52cc11"],
Cell[24520, 818, 173, 3, 70, "Output",ExpressionUUID->"5dc957f4-8f84-c54c-80a3-c76f756c5df4"]
}, Open ]],
Cell[CellGroupData[{
Cell[24730, 826, 2603, 85, 70, "Input",ExpressionUUID->"42f082eb-e223-114c-bb63-6a16bba4880c"],
Cell[27336, 913, 172, 3, 70, "Output",ExpressionUUID->"b4ee01d5-3415-494b-b28a-4587c8d8bb90"]
}, Open ]],
Cell[CellGroupData[{
Cell[27545, 921, 3712, 118, 70, "Input",ExpressionUUID->"22ca5bb0-8415-2146-b64e-353a4dc8c0e5"],
Cell[31260, 1041, 174, 3, 70, "Output",ExpressionUUID->"20c44e64-7085-8e4d-a9d6-f80b5532826e"]
}, Open ]],
Cell[31449, 1047, 138, 3, 70, "Input",ExpressionUUID->"ba4a3eff-9e3b-5e47-a896-3a959bbbf44d"],
Cell[CellGroupData[{
Cell[31612, 1054, 2052, 59, 70, "Input",ExpressionUUID->"738a48f3-b38c-f441-aec4-53babaa73a14"],
Cell[33667, 1115, 524, 11, 70, "Message",ExpressionUUID->"bd0a7da1-672e-6b4e-afbd-4af379292e8d"],
Cell[34194, 1128, 526, 11, 70, "Message",ExpressionUUID->"9a8837e4-2afa-d145-83db-a88ef0e502bc"],
Cell[34723, 1141, 530, 11, 70, "Message",ExpressionUUID->"0aa4ed5d-b925-834d-b53a-95c75c4ff982"],
Cell[35256, 1154, 455, 10, 70, "Message",ExpressionUUID->"2742a735-9c26-7640-8a81-3e30eaffa353"],
Cell[35714, 1166, 172, 3, 70, "Output",ExpressionUUID->"d91a6bca-04d7-b84b-93cf-0695498dc4de"]
}, Open ]],
Cell[CellGroupData[{
Cell[35923, 1174, 2054, 59, 70, "Input",ExpressionUUID->"86c33485-ed26-8f49-b3d0-7d040d3b48f0"],
Cell[37980, 1235, 524, 11, 70, "Message",ExpressionUUID->"2c553d54-16ec-9646-b6d7-75da3c367575"],
Cell[38507, 1248, 526, 11, 70, "Message",ExpressionUUID->"1c597fdf-5631-a84c-9feb-152df3629d86"],
Cell[39036, 1261, 528, 11, 70, "Message",ExpressionUUID->"48439b56-7b7d-fa4d-a4e2-5db2bbda0c77"],
Cell[39567, 1274, 456, 10, 70, "Message",ExpressionUUID->"66ce390f-34a9-df4d-9875-a339943ada86"],
Cell[40026, 1286, 170, 3, 70, "Output",ExpressionUUID->"2e46fa54-fabe-5040-8f8c-6829b7c76136"]
}, Open ]],
Cell[CellGroupData[{
Cell[40233, 1294, 1938, 53, 70, "Input",ExpressionUUID->"f373fe4f-940c-0842-9236-63ec36d318ad"],
Cell[42174, 1349, 19981, 375, 70, "Output",ExpressionUUID->"fdd0f260-414f-a94a-8f26-cd86e676700c"]
}, Open ]],
Cell[CellGroupData[{
Cell[62192, 1729, 2092, 60, 70, "Input",ExpressionUUID->"24fa5db0-1063-354a-bd60-c117a27ff3e1"],
Cell[64287, 1791, 490, 11, 70, "Message",ExpressionUUID->"546a9ea9-5939-f84a-87c6-58844f58f330"],
Cell[64780, 1804, 493, 11, 70, "Message",ExpressionUUID->"b36bffd7-1c84-5c45-a847-b2c31968f579"],
Cell[65276, 1817, 508, 11, 70, "Message",ExpressionUUID->"c864bef7-fc73-d94b-8cde-14570cba8095"],
Cell[65787, 1830, 456, 10, 70, "Message",ExpressionUUID->"a2e62375-acd2-6740-bfd7-026877c5bd7b"],
Cell[66246, 1842, 61603, 1057, 70, "Output",ExpressionUUID->"d4eecdc9-263c-5b43-bb29-cd0ac1286793"]
}, Open ]],
Cell[127864, 2902, 232, 6, 70, "Input",ExpressionUUID->"2d9f4f9c-fc8b-b74d-9e49-a8e133e7a081"],
Cell[128099, 2910, 209, 5, 70, "Input",ExpressionUUID->"6d3700e1-f504-214a-a332-f16397f0b922"],
Cell[CellGroupData[{
Cell[128333, 2919, 217, 7, 70, "Input",ExpressionUUID->"9051a5e3-bb9f-d941-bcca-598d0b6835be"],
Cell[128553, 2928, 169, 3, 70, "Output",ExpressionUUID->"07374b0a-4615-bf46-ab49-be8623cec410"]
}, Open ]],
Cell[CellGroupData[{
Cell[128759, 2936, 1816, 53, 70, "Input",ExpressionUUID->"65a995ff-ff3d-634e-9bad-4a8a16073236"],
Cell[130578, 2991, 502, 11, 70, "Message",ExpressionUUID->"c1f83af1-416a-6240-b3fd-c1bfcc643459"],
Cell[131083, 3004, 506, 11, 70, "Message",ExpressionUUID->"5cfd3c4b-6190-2c4d-8479-b4ccd7090f94"],
Cell[131592, 3017, 509, 11, 70, "Message",ExpressionUUID->"288fc6c7-a3fe-9b48-9c0d-bba2713f7084"],
Cell[132104, 3030, 456, 10, 70, "Message",ExpressionUUID->"09478fd5-b212-2347-91e7-b9097bd6d61d"],
Cell[132563, 3042, 28560, 514, 70, "Output",ExpressionUUID->"f7784347-2042-c042-8970-b060f9535d9e"]
}, Open ]],
Cell[CellGroupData[{
Cell[161160, 3561, 1616, 48, 70, "Input",ExpressionUUID->"86381d88-1537-a242-9cff-0b432b61d63d"],
Cell[162779, 3611, 576, 12, 70, "Message",ExpressionUUID->"0a4bed5c-621d-a546-88e9-ce7d779c106a"],
Cell[163358, 3625, 582, 12, 70, "Message",ExpressionUUID->"80e3943d-459b-8b41-9869-50a6cf829ef8"],
Cell[163943, 3639, 584, 12, 70, "Message",ExpressionUUID->"36529169-7f05-ee43-8080-ce8fdd404b8d"],
Cell[164530, 3653, 458, 10, 70, "Message",ExpressionUUID->"a6c5f0ff-3356-4c42-b883-ce45e5cc4f41"],
Cell[164991, 3665, 170, 3, 70, "Output",ExpressionUUID->"546f133a-4a8e-8d44-937d-5fc3ea2401d8"]
}, Open ]],
Cell[CellGroupData[{
Cell[165198, 3673, 2247, 64, 70, "Input",ExpressionUUID->"6f0ad284-4db3-da47-b8dc-45830eedfe9c"],
Cell[167448, 3739, 522, 11, 70, "Message",ExpressionUUID->"2e7d173d-070f-de49-a3c2-9964fb888ede"],
Cell[167973, 3752, 526, 11, 70, "Message",ExpressionUUID->"04b23985-5685-d344-a2ed-9886796baf32"],
Cell[168502, 3765, 528, 11, 70, "Message",ExpressionUUID->"ccdd27f2-bd64-f442-a708-cfb1052c7f86"],
Cell[169033, 3778, 458, 10, 70, "Message",ExpressionUUID->"384ce3fd-4914-6b49-b10c-84d885ed65d6"],
Cell[169494, 3790, 175, 3, 70, "Output",ExpressionUUID->"8865a4e5-7fd3-3c49-a115-94c8c5479389"]
}, Open ]],
Cell[CellGroupData[{
Cell[169706, 3798, 2221, 64, 70, "Input",ExpressionUUID->"b2dda819-6f34-5c49-bc62-303d815946e5"],
Cell[171930, 3864, 522, 11, 70, "Message",ExpressionUUID->"958049e8-43e1-cc46-81fb-5b3fe1a5d9ee"],
Cell[172455, 3877, 524, 11, 70, "Message",ExpressionUUID->"6ed73f20-f975-a34c-a5a3-af58e9ecd7ed"],
Cell[172982, 3890, 528, 11, 70, "Message",ExpressionUUID->"4ce11323-2f48-da4f-84f8-593751381024"],
Cell[173513, 3903, 458, 10, 70, "Message",ExpressionUUID->"330905cd-5b42-604b-aaf8-fbac43108165"],
Cell[173974, 3915, 170, 3, 70, "Output",ExpressionUUID->"020ade62-ec43-7549-8079-7ac012e004c4"]
}, Open ]],
Cell[CellGroupData[{
Cell[174181, 3923, 2221, 64, 70, "Input",ExpressionUUID->"76a9e77d-1f4c-bb4a-bb13-1a175f609f7d"],
Cell[176405, 3989, 524, 11, 70, "Message",ExpressionUUID->"9a8eff2d-0d97-2e45-a2f3-ce0634115f7d"],
Cell[176932, 4002, 526, 11, 70, "Message",ExpressionUUID->"7dd7e17e-c74e-7145-b6ae-77a0f02c67f1"],
Cell[177461, 4015, 530, 11, 70, "Message",ExpressionUUID->"311ddb21-a730-0b41-b633-2d3bac87be85"],
Cell[177994, 4028, 458, 10, 70, "Message",ExpressionUUID->"ecdc16e1-316d-b342-a60b-0f3075607709"],
Cell[178455, 4040, 171, 3, 70, "Output",ExpressionUUID->"a7fc6f95-4067-504b-8754-5086d2659934"]
}, Open ]],
Cell[CellGroupData[{
Cell[178663, 4048, 215, 6, 70, "Input",ExpressionUUID->"69dd09d9-152e-3e4d-9517-4de4791db2f4"],
Cell[178881, 4056, 175, 3, 70, "Output",ExpressionUUID->"96bb6c6a-f128-024e-85ce-f8a6083a68c6"]
}, Open ]],
Cell[179071, 4062, 245, 5, 70, "Input",ExpressionUUID->"6ecc7e8c-a7c5-354e-b168-749729cd7104"],
Cell[CellGroupData[{
Cell[179341, 4071, 558, 19, 70, "Input",ExpressionUUID->"00610596-56e0-594e-b937-45ba84f4314c"],
Cell[179902, 4092, 172, 3, 70, "Output",ExpressionUUID->"fecac54e-ac70-c448-b60d-60e5d8aa9072"]
}, Open ]],
Cell[CellGroupData[{
Cell[180111, 4100, 170, 5, 70, "Input",ExpressionUUID->"80807e8a-63b3-1643-8686-477edee068f5"],
Cell[180284, 4107, 172, 3, 70, "Output",ExpressionUUID->"31e41e93-aaef-1b4f-a5e6-3cad86684dfc"]
}, Open ]],
Cell[CellGroupData[{
Cell[180493, 4115, 181, 5, 70, "Input",ExpressionUUID->"e12cfe3a-1a80-7c46-b652-b33c70f4712b"],
Cell[180677, 4122, 172, 3, 70, "Output",ExpressionUUID->"d20f2acf-afe0-0844-b0cd-0cdce2394573"]
}, Open ]],
Cell[CellGroupData[{
Cell[180886, 4130, 6055, 185, 70, "Input",ExpressionUUID->"a58543a2-e013-da4f-b49d-4bc1fd782c5d"],
Cell[186944, 4317, 174, 3, 70, "Output",ExpressionUUID->"ec544098-6efd-4845-b84f-33e39ead67c9"]
}, Open ]],
Cell[CellGroupData[{
Cell[187155, 4325, 368, 9, 70, "Input",ExpressionUUID->"11aa7f22-15dc-394f-8119-3706466553f3"],
Cell[187526, 4336, 173, 3, 70, "Output",ExpressionUUID->"85f4fe6d-1167-7a40-b761-0a55e5251875"]
}, Open ]],
Cell[CellGroupData[{
Cell[187736, 4344, 6122, 187, 70, "Input",ExpressionUUID->"be01a209-5a51-bb44-a959-dbe1c172fe42"],
Cell[193861, 4533, 175, 3, 70, "Output",ExpressionUUID->"53db8250-199b-594a-8ebd-fc9cc43217e3"]
}, Open ]],
Cell[CellGroupData[{
Cell[194073, 4541, 368, 9, 70, "Input",ExpressionUUID->"80039b80-2557-414c-8242-b722596e9d96"],
Cell[194444, 4552, 170, 3, 70, "Output",ExpressionUUID->"0013bb3e-54d0-e343-9869-cf63da2eecbd"]
}, Open ]],
Cell[CellGroupData[{
Cell[194651, 4560, 2663, 88, 70, "Input",ExpressionUUID->"b340c733-2100-9c4f-86ba-d9dc18c9dfa6"],
Cell[197317, 4650, 173, 3, 70, "Output",ExpressionUUID->"96d8705a-f744-d447-bad0-55fe1d703f38"]
}, Open ]],
Cell[CellGroupData[{
Cell[197527, 4658, 2603, 85, 70, "Input",ExpressionUUID->"dbf44a5f-8dbc-3049-99ca-3aff4a181e3f"],
Cell[200133, 4745, 172, 3, 70, "Output",ExpressionUUID->"bad41b21-8b15-a74b-a641-622c6584a958"]
}, Open ]],
Cell[CellGroupData[{
Cell[200342, 4753, 3712, 118, 70, "Input",ExpressionUUID->"b393ebfa-9cda-f24a-8039-95e547cb8787"],
Cell[204057, 4873, 174, 3, 70, "Output",ExpressionUUID->"a42f993d-5633-3546-ae09-6931972f9312"]
}, Open ]],
Cell[CellGroupData[{
Cell[204268, 4881, 2052, 59, 70, "Input",ExpressionUUID->"d6aa822f-4140-174a-8e29-c889dba5c0d8"],
Cell[206323, 4942, 574, 12, 70, "Message",ExpressionUUID->"91f9ae14-8766-3848-9c79-ec46ad6af7ea"],
Cell[206900, 4956, 580, 12, 70, "Message",ExpressionUUID->"2440fadc-b12b-424f-a600-97a0a8c9f031"],
Cell[207483, 4970, 582, 12, 70, "Message",ExpressionUUID->"d4d1d26f-ac2b-a949-95b4-8d60af02cc4b"],
Cell[208068, 4984, 456, 10, 70, "Message",ExpressionUUID->"0cb59396-7a19-6b43-af2b-0a0ce0427b94"],
Cell[208527, 4996, 171, 3, 70, "Output",ExpressionUUID->"3ceb430a-d440-e040-b6a8-a18a3884b326"]
}, Open ]],
Cell[CellGroupData[{
Cell[208735, 5004, 2054, 59, 70, "Input",ExpressionUUID->"46f3f057-22eb-c143-af7a-23ddab00799c"],
Cell[210792, 5065, 574, 12, 70, "Message",ExpressionUUID->"ccb81c35-09e9-854b-9187-d46e8624546d"],
Cell[211369, 5079, 578, 12, 70, "Message",ExpressionUUID->"6dff6307-9a24-c74d-90d8-2f18b14858dc"],
Cell[211950, 5093, 582, 12, 70, "Message",ExpressionUUID->"11045565-b757-154a-b614-eb73b2dcbc5f"],
Cell[212535, 5107, 458, 10, 70, "Message",ExpressionUUID->"af9dd0c6-d446-9940-b908-9b52fbb611cb"],
Cell[212996, 5119, 169, 3, 70, "Output",ExpressionUUID->"d39c46b4-75c6-f741-b7fd-1a1fdbe4155f"]
}, Open ]],
Cell[CellGroupData[{
Cell[213202, 5127, 2030, 55, 70, "Input",ExpressionUUID->"0137ed47-cd78-284a-910a-31d165f1571c"],
Cell[215235, 5184, 20326, 381, 70, "Output",ExpressionUUID->"5f98f6f4-700b-0a4b-af1c-32125fed3e6a"]
}, Open ]],
Cell[235576, 5568, 2144, 61, 70, "Input",ExpressionUUID->"00a32bc3-df79-9e43-8f20-d4884962c12d"],
Cell[237723, 5631, 138, 3, 70, "Input",ExpressionUUID->"344da507-9044-ef47-aa8c-99f282e3d6d3"],
Cell[CellGroupData[{
Cell[237886, 5638, 1616, 48, 70, "Input",ExpressionUUID->"f13d1bd8-d153-ae43-b041-68b993e77854"],
Cell[239505, 5688, 592, 12, 70, "Message",ExpressionUUID->"318da404-8df4-c540-9269-2b249c7e148e"],
Cell[240100, 5702, 597, 12, 70, "Message",ExpressionUUID->"42939765-c33b-c147-a25b-bfa31c71a3cb"],
Cell[240700, 5716, 599, 12, 70, "Message",ExpressionUUID->"63b912c5-afab-654e-9609-c4b849e9abfe"],
Cell[241302, 5730, 458, 10, 70, "Message",ExpressionUUID->"2c8999d2-d9b5-ef4e-a59d-c314a02b2b2a"],
Cell[241763, 5742, 172, 3, 70, "Output",ExpressionUUID->"52013fca-4692-bf47-a0cf-880d71f10fc1"]
}, Open ]],
Cell[CellGroupData[{
Cell[241972, 5750, 2249, 64, 70, "Input",ExpressionUUID->"53e25fab-b431-cc42-a467-e4dea0353ed0"],
Cell[244224, 5816, 576, 12, 70, "Message",ExpressionUUID->"285f997a-25b4-f647-9523-e0dd05446bae"],
Cell[244803, 5830, 580, 12, 70, "Message",ExpressionUUID->"b1d2a50d-b27b-ca46-afcb-af9e8d59323e"],
Cell[245386, 5844, 582, 12, 70, "Message",ExpressionUUID->"a36c085c-b95e-724c-a04e-30924ab7ac52"],
Cell[245971, 5858, 456, 10, 70, "Message",ExpressionUUID->"976edb68-80f3-5a4d-a255-2f217ec84bfa"],
Cell[246430, 5870, 171, 3, 70, "Output",ExpressionUUID->"b7107287-e519-1249-9ef0-b745347bdb78"]
}, Open ]],
Cell[CellGroupData[{
Cell[246638, 5878, 2223, 64, 70, "Input",ExpressionUUID->"b18c819e-620a-d449-97d6-547e3a6fa152"],
Cell[248864, 5944, 574, 12, 70, "Message",ExpressionUUID->"2877ed71-3ee8-8044-94b0-c606083c07b7"],
Cell[249441, 5958, 578, 12, 70, "Message",ExpressionUUID->"34cfc5a5-16b6-f24f-acdf-b4e2d29b1bef"],
Cell[250022, 5972, 580, 12, 70, "Message",ExpressionUUID->"7fe7bdbe-3892-5043-b38d-13721c83d41a"],
Cell[250605, 5986, 458, 10, 70, "Message",ExpressionUUID->"93dfb0cd-55fb-1b4a-b671-37d180b9d444"],
Cell[251066, 5998, 173, 3, 70, "Output",ExpressionUUID->"372279b5-5e4a-b545-a159-384b26aa5ab4"]
}, Open ]],
Cell[CellGroupData[{
Cell[251276, 6006, 2221, 64, 70, "Input",ExpressionUUID->"22ab74c7-5916-9440-9d7d-c3e0f6ab8836"],
Cell[253500, 6072, 574, 12, 70, "Message",ExpressionUUID->"c14c35e1-e487-c742-a0da-128fdb9754d4"],
Cell[254077, 6086, 578, 12, 70, "Message",ExpressionUUID->"4396ed61-4d7e-6144-80f0-6d5649cfcb04"],
Cell[254658, 6100, 582, 12, 70, "Message",ExpressionUUID->"00fa2dcd-bc0b-9e44-9f00-15116f344aca"],
Cell[255243, 6114, 455, 10, 70, "Message",ExpressionUUID->"78b12bf1-7793-9341-ad5f-c7be406b8be6"],
Cell[255701, 6126, 170, 3, 70, "Output",ExpressionUUID->"9454fa52-ff74-094b-8081-2fc86cf96043"]
}, Open ]],
Cell[CellGroupData[{
Cell[255908, 6134, 215, 6, 70, "Input",ExpressionUUID->"f9c66987-c237-7a40-a006-e20e260dbdcb"],
Cell[256126, 6142, 174, 3, 70, "Output",ExpressionUUID->"175eda7e-c091-3e4f-86ac-3148f0a9e904"]
}, Open ]],
Cell[256315, 6148, 249, 5, 70, "Input",ExpressionUUID->"770a9ed7-7938-9e48-be64-c31719ef3a6b"],
Cell[CellGroupData[{
Cell[256589, 6157, 558, 19, 70, "Input",ExpressionUUID->"a401ff2f-0c49-174e-9005-1c04f93e9e0d"],
Cell[257150, 6178, 169, 3, 70, "Output",ExpressionUUID->"e757c22c-d836-6c4a-a9f7-93553c4bb232"]
}, Open ]],
Cell[CellGroupData[{
Cell[257356, 6186, 170, 5, 70, "Input",ExpressionUUID->"f96fdb9e-e8d1-c74d-a973-e9d03a063710"],
Cell[257529, 6193, 173, 3, 70, "Output",ExpressionUUID->"7f3ee547-87eb-d74d-8f21-a8d42f1dde52"]
}, Open ]],
Cell[CellGroupData[{
Cell[257739, 6201, 181, 5, 70, "Input",ExpressionUUID->"199c667f-be6b-fd40-bac5-bf87b109f4eb"],
Cell[257923, 6208, 173, 3, 70, "Output",ExpressionUUID->"0603b6e6-a8b7-1e45-9b15-2769b7fbc373"]
}, Open ]],
Cell[CellGroupData[{
Cell[258133, 6216, 6055, 185, 70, "Input",ExpressionUUID->"8666e95e-b2e9-2e4d-af31-7c0466f6da3f"],
Cell[264191, 6403, 174, 3, 70, "Output",ExpressionUUID->"8b7a346f-cdda-e24e-b924-d6cfb1b3119a"]
}, Open ]],
Cell[CellGroupData[{
Cell[264402, 6411, 368, 9, 70, "Input",ExpressionUUID->"3f821f99-4c61-8244-9f39-b02a8247a19c"],
Cell[264773, 6422, 172, 3, 70, "Output",ExpressionUUID->"3354b35a-acef-b846-b770-8d2e77b8f68b"]
}, Open ]],
Cell[CellGroupData[{
Cell[264982, 6430, 6122, 187, 70, "Input",ExpressionUUID->"95ae37d9-e738-da42-9bae-a0a492fc5380"],
Cell[271107, 6619, 172, 3, 70, "Output",ExpressionUUID->"7b76721b-3d4c-c544-9113-83ba4f36ae7f"]
}, Open ]],
Cell[CellGroupData[{
Cell[271316, 6627, 368, 9, 70, "Input",ExpressionUUID->"41f5782d-0fa9-2547-95fe-d8b549105a42"],
Cell[271687, 6638, 170, 3, 70, "Output",ExpressionUUID->"e9346704-c478-364d-b5eb-0aabe0e2e350"]
}, Open ]],
Cell[CellGroupData[{
Cell[271894, 6646, 2663, 88, 70, "Input",ExpressionUUID->"d97cbadb-6f95-5a47-9617-8d40bcea10e8"],
Cell[274560, 6736, 173, 3, 70, "Output",ExpressionUUID->"33b7f444-6995-e54b-a2a6-ad09016b1850"]
}, Open ]],
Cell[CellGroupData[{
Cell[274770, 6744, 2603, 85, 70, "Input",ExpressionUUID->"af5cf9f8-9590-ff48-8848-9396d3323464"],
Cell[277376, 6831, 172, 3, 70, "Output",ExpressionUUID->"76ba8e46-11c7-f54d-bfb2-cca1b455c838"]
}, Open ]],
Cell[CellGroupData[{
Cell[277585, 6839, 3712, 118, 70, "Input",ExpressionUUID->"bf95ea83-581e-f54f-a48e-b93e8f63083a"],
Cell[281300, 6959, 172, 3, 70, "Output",ExpressionUUID->"f7c29774-2634-5546-ab63-4d3ac6889f79"]
}, Open ]],
Cell[CellGroupData[{
Cell[281509, 6967, 2052, 59, 70, "Input",ExpressionUUID->"55d51961-97f2-ed4d-8bf8-8a461d652ab4"],
Cell[283564, 7028, 573, 12, 70, "Message",ExpressionUUID->"3d5a1265-fb27-0b41-a549-5e326650d270"],
Cell[284140, 7042, 573, 12, 70, "Message",ExpressionUUID->"0726d23e-32d7-7a41-8d7f-0b62fec75437"],
Cell[284716, 7056, 579, 12, 70, "Message",ExpressionUUID->"b47482ef-bec0-234f-aeb7-9009a378a36d"],
Cell[285298, 7070, 458, 10, 70, "Message",ExpressionUUID->"e5e35e3a-0e40-c249-b6f3-c2a6a5a48740"],
Cell[285759, 7082, 170, 3, 70, "Output",ExpressionUUID->"b33776d0-2a41-694b-9af8-c4d483383e7c"]
}, Open ]],
Cell[CellGroupData[{
Cell[285966, 7090, 2052, 59, 70, "Input",ExpressionUUID->"9704b9d3-b449-2144-9970-6a7de047241d"],
Cell[288021, 7151, 573, 12, 70, "Message",ExpressionUUID->"ffb6a3c0-c488-cd48-870e-d66051362026"],
Cell[288597, 7165, 575, 12, 70, "Message",ExpressionUUID->"ca3fb11a-47f9-c542-a5c9-6e0087e110b9"],
Cell[289175, 7179, 579, 12, 70, "Message",ExpressionUUID->"7e4a0639-38a1-f74e-ab8e-5264cad2d48c"],
Cell[289757, 7193, 458, 10, 70, "Message",ExpressionUUID->"101eaea3-75b1-d942-9914-a0fe8a6e2f65"],
Cell[290218, 7205, 169, 3, 70, "Output",ExpressionUUID->"921a9c76-dcb9-484a-bc19-88ddead9467a"]
}, Open ]],
Cell[CellGroupData[{
Cell[290424, 7213, 2028, 55, 70, "Input",ExpressionUUID->"0fd90636-7592-fc40-bf9d-ae1cb915c656"],
Cell[292455, 7270, 20296, 381, 70, "Output",ExpressionUUID->"09d149ec-0259-a345-a282-743f783e7913"]
}, Open ]],
Cell[CellGroupData[{
Cell[312788, 7656, 2146, 61, 70, "Input",ExpressionUUID->"90696e8b-5a2d-314c-8d58-ac84cb8f4d66"],
Cell[314937, 7719, 500, 11, 70, "Message",ExpressionUUID->"526ffad5-83ae-c149-9912-e494135b3fca"],
Cell[315440, 7732, 505, 11, 70, "Message",ExpressionUUID->"1adb1680-bdf2-4144-bcc9-7270c61e97b7"],
Cell[315948, 7745, 509, 11, 70, "Message",ExpressionUUID->"9e5d82d5-642b-cb46-8232-be5a5ca7050d"],
Cell[316460, 7758, 458, 10, 70, "Message",ExpressionUUID->"ef931413-f964-5b45-a755-76cab1ab5309"],
Cell[316921, 7770, 39609, 697, 70, "Output",ExpressionUUID->"23497d29-f516-664b-9ee0-ea8f6d88359c"]
}, Open ]],
Cell[356545, 8470, 209, 5, 70, "Input",ExpressionUUID->"ea848967-083d-ea47-bce0-5c3b93725916"],
Cell[CellGroupData[{
Cell[356779, 8479, 1616, 48, 70, "Input",ExpressionUUID->"cee00bc1-3ccc-914d-8ba9-008ac67b1c9c"],
Cell[358398, 8529, 589, 12, 70, "Message",ExpressionUUID->"100796fd-6fde-3c41-9088-c2d3ae2f8aeb"],
Cell[358990, 8543, 595, 12, 70, "Message",ExpressionUUID->"c91e75b4-9e2b-1e49-a5d5-453d5f87b5e3"],
Cell[359588, 8557, 596, 12, 70, "Message",ExpressionUUID->"5d8ad6a4-5b83-df49-8c4d-081081895528"],
Cell[360187, 8571, 458, 10, 70, "Message",ExpressionUUID->"26eed7af-5e0a-e840-9956-caca06166010"],
Cell[360648, 8583, 171, 3, 70, "Output",ExpressionUUID->"e4e35b92-e786-3044-bf1d-9c587b1357a2"]
}, Open ]],
Cell[CellGroupData[{
Cell[360856, 8591, 2249, 64, 70, "Input",ExpressionUUID->"80bba3bc-d8f7-1c4b-9262-0895c02ffd8f"],
Cell[363108, 8657, 573, 12, 70, "Message",ExpressionUUID->"6b65fc2b-3e1d-714d-aeb9-43978836a621"],
Cell[363684, 8671, 573, 12, 70, "Message",ExpressionUUID->"c4736a05-b0e1-5e49-b581-f3ce4c83fe21"],
Cell[364260, 8685, 579, 12, 70, "Message",ExpressionUUID->"ae8eb83c-0205-8046-8445-e249896b7ee5"],
Cell[364842, 8699, 458, 10, 70, "Message",ExpressionUUID->"5072d590-62c3-7a47-ae1b-6dd617a0b9dc"],
Cell[365303, 8711, 174, 3, 70, "Output",ExpressionUUID->"8dd7e1f9-bbea-d84b-ad0e-8922158aee9e"]
}, Open ]],
Cell[CellGroupData[{
Cell[365514, 8719, 2221, 64, 70, "Input",ExpressionUUID->"57976ffc-56f1-604b-8519-bead95265db8"],
Cell[367738, 8785, 573, 12, 70, "Message",ExpressionUUID->"7ab877ea-0e4b-f948-97c2-7ebafb7901b1"],
Cell[368314, 8799, 575, 12, 70, "Message",ExpressionUUID->"a87a57c5-24bc-dc4a-888a-b3c0095c10c4"],
Cell[368892, 8813, 577, 12, 70, "Message",ExpressionUUID->"d8af7fb1-1d43-664e-ae2d-698eaa818746"],
Cell[369472, 8827, 456, 10, 70, "Message",ExpressionUUID->"7abec434-52e8-c64c-ac86-90da0b27b8aa"],
Cell[369931, 8839, 172, 3, 70, "Output",ExpressionUUID->"164a4c34-f121-a445-b434-e34aa59666ab"]
}, Open ]],
Cell[CellGroupData[{
Cell[370140, 8847, 2219, 64, 70, "Input",ExpressionUUID->"cfa37210-3ae7-3f49-b290-f19508c6d2f1"],
Cell[372362, 8913, 571, 12, 70, "Message",ExpressionUUID->"92295db4-13f0-284e-8173-df7f8dd20dcf"],
Cell[372936, 8927, 573, 12, 70, "Message",ExpressionUUID->"c6280e41-1347-0f47-81a9-bcd3687b7b73"],
Cell[373512, 8941, 579, 12, 70, "Message",ExpressionUUID->"2aa0f4b1-01ca-4644-884e-b759d4a75412"],
Cell[374094, 8955, 458, 10, 70, "Message",ExpressionUUID->"ab3c3bff-179e-9f4e-b56a-87d1b4f6fc04"],
Cell[374555, 8967, 172, 3, 70, "Output",ExpressionUUID->"f5b8154f-e61e-6a4e-b068-b6c1916773ef"]
}, Open ]],
Cell[CellGroupData[{
Cell[374764, 8975, 211, 6, 70, "Input",ExpressionUUID->"7457b456-6d32-5b44-9679-346c5f5ac532"],
Cell[374978, 8983, 174, 3, 70, "Output",ExpressionUUID->"14434839-d5cf-b844-b849-b3b3102df434"]
}, Open ]]
}
]
*)
(* End of internal cache information *)