472 lines
15 KiB
Mathematica
472 lines
15 KiB
Mathematica
(* Content-type: application/vnd.wolfram.mathematica *)
|
|
|
|
(*** Wolfram Notebook File ***)
|
|
(* http://www.wolfram.com/nb *)
|
|
|
|
(* CreatedBy='Mathematica 12.1' *)
|
|
|
|
(*CacheID: 234*)
|
|
(* Internal cache information:
|
|
NotebookFileLineBreakTest
|
|
NotebookFileLineBreakTest
|
|
NotebookDataPosition[ 158, 7]
|
|
NotebookDataLength[ 15589, 461]
|
|
NotebookOptionsPosition[ 12690, 401]
|
|
NotebookOutlinePosition[ 13098, 418]
|
|
CellTagsIndexPosition[ 13055, 415]
|
|
WindowFrame->Normal*)
|
|
|
|
(* Beginning of Notebook Content *)
|
|
Notebook[{
|
|
|
|
Cell[CellGroupData[{
|
|
Cell[BoxData[
|
|
RowBox[{"Profitc", "=",
|
|
RowBox[{"v", "-", "cs", "-", "cv", "-",
|
|
RowBox[{"r", " ",
|
|
RowBox[{"(",
|
|
RowBox[{
|
|
RowBox[{"\[Alpha]", " ", "p"}], "+", "cs"}], ")"}]}], "+",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}], "*",
|
|
RowBox[{"(",
|
|
RowBox[{
|
|
RowBox[{"\[Alpha]", " ", "p"}], "+", "cs"}], ")"}]}], "-",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}], " ", "\[Theta]"}], "-",
|
|
RowBox[{"k", "*", "e", "*", "e"}]}]}]], "Input",
|
|
CellChangeTimes->{{3.8461263467064447`*^9, 3.8461264347267113`*^9}},
|
|
CellLabel->"In[1]:=",ExpressionUUID->"553d9f93-57ee-446e-969c-6336485a037f"],
|
|
|
|
Cell[BoxData[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-", "cv", "-",
|
|
RowBox[{
|
|
SuperscriptBox["e", "2"], " ", "k"}], "+", "v", "+",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}], " ",
|
|
RowBox[{"(",
|
|
RowBox[{"cs", "+",
|
|
RowBox[{"p", " ", "\[Alpha]"}]}], ")"}]}], "-",
|
|
RowBox[{"r", " ",
|
|
RowBox[{"(",
|
|
RowBox[{"cs", "+",
|
|
RowBox[{"p", " ", "\[Alpha]"}]}], ")"}]}], "-",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}], " ", "\[Theta]"}]}]], "Output",
|
|
CellChangeTimes->{3.846126445010041*^9},
|
|
CellLabel->"Out[1]=",ExpressionUUID->"12f54655-f5e8-4b05-8f91-4b5e3e4b1436"]
|
|
}, Open ]],
|
|
|
|
Cell[CellGroupData[{
|
|
|
|
Cell[BoxData["Profitc"], "Input",
|
|
CellChangeTimes->{{3.8461264426288967`*^9, 3.846126447235664*^9}},
|
|
CellLabel->"In[2]:=",ExpressionUUID->"5b966050-eaea-412b-b516-078233762697"],
|
|
|
|
Cell[BoxData[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-", "cv", "-",
|
|
RowBox[{
|
|
SuperscriptBox["e", "2"], " ", "k"}], "+", "v", "+",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}], " ",
|
|
RowBox[{"(",
|
|
RowBox[{"cs", "+",
|
|
RowBox[{"p", " ", "\[Alpha]"}]}], ")"}]}], "-",
|
|
RowBox[{"r", " ",
|
|
RowBox[{"(",
|
|
RowBox[{"cs", "+",
|
|
RowBox[{"p", " ", "\[Alpha]"}]}], ")"}]}], "-",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}], " ", "\[Theta]"}]}]], "Output",
|
|
CellChangeTimes->{3.846126448898058*^9},
|
|
CellLabel->"Out[2]=",ExpressionUUID->"e8db741c-d426-4236-96db-9d31892d5e78"]
|
|
}, Open ]],
|
|
|
|
Cell[CellGroupData[{
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"Simplify", "[",
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-", "cv", "-",
|
|
RowBox[{
|
|
SuperscriptBox["e", "2"], " ", "k"}], "+", "v", "+",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}], " ",
|
|
RowBox[{"(",
|
|
RowBox[{"cs", "+",
|
|
RowBox[{"p", " ", "\[Alpha]"}]}], ")"}]}], "-",
|
|
RowBox[{"r", " ",
|
|
RowBox[{"(",
|
|
RowBox[{"cs", "+",
|
|
RowBox[{"p", " ", "\[Alpha]"}]}], ")"}]}], "-",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}], " ", "\[Theta]"}]}], "]"}]], "Input",
|
|
NumberMarks->False,
|
|
CellLabel->"In[3]:=",ExpressionUUID->"1bd13cc6-5530-4f30-b92f-97e81c847bfb"],
|
|
|
|
Cell[BoxData[
|
|
RowBox[{
|
|
RowBox[{"-", "cv"}], "-",
|
|
RowBox[{
|
|
SuperscriptBox["e", "2"], " ", "k"}], "-",
|
|
RowBox[{"cs", " ",
|
|
RowBox[{"(",
|
|
RowBox[{"e", "+", "r"}], ")"}]}], "+", "v", "+",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "-",
|
|
RowBox[{"e", " ", "p", " ", "\[Alpha]"}], "-",
|
|
RowBox[{"p", " ", "r", " ", "\[Alpha]"}], "-", "\[Theta]", "+",
|
|
RowBox[{"e", " ", "\[Theta]"}]}]], "Output",
|
|
CellChangeTimes->{3.8461264542762337`*^9},
|
|
CellLabel->"Out[3]=",ExpressionUUID->"19cb7435-7293-495b-b682-1561d17d81c5"]
|
|
}, Open ]],
|
|
|
|
Cell[CellGroupData[{
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"D", "[",
|
|
RowBox[{"Profitc", ",", "e"}], "]"}]], "Input",
|
|
CellChangeTimes->{{3.8461265888938837`*^9, 3.846126599517988*^9}},
|
|
CellLabel->"In[4]:=",ExpressionUUID->"2f06cf4b-04e6-478a-9dd7-2447136326f1"],
|
|
|
|
Cell[BoxData[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"2", " ", "e", " ", "k"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}]], "Output",
|
|
CellChangeTimes->{3.8461266007348967`*^9},
|
|
CellLabel->"Out[4]=",ExpressionUUID->"4ad131c6-d82c-48fe-b7c0-d85f7d044fe8"]
|
|
}, Open ]],
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"Solve", "[",
|
|
RowBox[{
|
|
RowBox[{
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"2", " ", "e", " ", "k"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}], "\[Equal]", "0"}],
|
|
",", "e"}], "]"}]], "Input",
|
|
CellChangeTimes->{{3.8461266951115313`*^9, 3.846126711200161*^9}},
|
|
CellLabel->"In[5]:=",ExpressionUUID->"48fd95d3-c9ea-4b85-a251-49129f3d376a"],
|
|
|
|
Cell[CellGroupData[{
|
|
|
|
Cell[BoxData[{
|
|
RowBox[{"{",
|
|
RowBox[{"{",
|
|
RowBox[{"e", "\[Rule]",
|
|
FractionBox[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}],
|
|
RowBox[{"2", " ", "k"}]]}], "}"}], "}"}], "\[IndentingNewLine]",
|
|
RowBox[{"e", ":=",
|
|
FractionBox[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}],
|
|
RowBox[{"2", " ", "k"}]]}]}], "Input",
|
|
CellChangeTimes->{{3.846126739191382*^9, 3.846126756092791*^9}},
|
|
CellLabel->"In[1]:=",ExpressionUUID->"08025e69-5ef1-4f16-a1a0-d8f518316e66"],
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"{",
|
|
RowBox[{"{",
|
|
RowBox[{"e", "\[Rule]",
|
|
FractionBox[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}],
|
|
RowBox[{"2", " ", "k"}]]}], "}"}], "}"}]], "Output",
|
|
CellChangeTimes->{3.846126763638418*^9},
|
|
CellLabel->"Out[1]=",ExpressionUUID->"e8a16c17-7047-4abe-a93b-41780fd879d9"]
|
|
}, Open ]],
|
|
|
|
Cell[CellGroupData[{
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"Profitc", "=",
|
|
RowBox[{"v", "-", "cs", "-", "cv", "-",
|
|
RowBox[{"r", " ",
|
|
RowBox[{"(",
|
|
RowBox[{
|
|
RowBox[{"\[Alpha]", " ", "p"}], "+", "cs"}], ")"}]}], "+",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}], "*",
|
|
RowBox[{"(",
|
|
RowBox[{
|
|
RowBox[{"\[Alpha]", " ", "p"}], "+", "cs"}], ")"}]}], "-",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}], " ", "\[Theta]"}], "-",
|
|
RowBox[{"k", "*", "e", "*", "e"}]}]}]], "Input",
|
|
CellLabel->"In[3]:=",ExpressionUUID->"fac266a2-7cf3-4bec-8564-ecda3442c2c1"],
|
|
|
|
Cell[BoxData[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-", "cv", "+", "v", "-",
|
|
RowBox[{"r", " ",
|
|
RowBox[{"(",
|
|
RowBox[{"cs", "+",
|
|
RowBox[{"p", " ", "\[Alpha]"}]}], ")"}]}], "-",
|
|
FractionBox[
|
|
SuperscriptBox[
|
|
RowBox[{"(",
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}], ")"}], "2"],
|
|
RowBox[{"4", " ", "k"}]], "+",
|
|
RowBox[{
|
|
RowBox[{"(",
|
|
RowBox[{"cs", "+",
|
|
RowBox[{"p", " ", "\[Alpha]"}]}], ")"}], " ",
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-",
|
|
FractionBox[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}],
|
|
RowBox[{"2", " ", "k"}]]}], ")"}]}], "-",
|
|
RowBox[{"\[Theta]", " ",
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-",
|
|
FractionBox[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}],
|
|
RowBox[{"2", " ", "k"}]]}], ")"}]}]}]], "Output",
|
|
CellChangeTimes->{3.846126771678705*^9},
|
|
CellLabel->"Out[3]=",ExpressionUUID->"80fbdb60-7372-487e-be8f-d5a27663c45b"]
|
|
}, Open ]],
|
|
|
|
Cell[CellGroupData[{
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"Simplify", "[", "Profitc", "]"}]], "Input",
|
|
NumberMarks->False,
|
|
CellLabel->"In[4]:=",ExpressionUUID->"1d2e3af8-c8a8-4ce4-85b8-e9878eae70d8"],
|
|
|
|
Cell[BoxData[
|
|
FractionBox[
|
|
RowBox[{
|
|
SuperscriptBox["cs", "2"], "-",
|
|
RowBox[{"4", " ", "cv", " ", "k"}], "+",
|
|
RowBox[{"4", " ", "k", " ", "v"}], "+",
|
|
RowBox[{"4", " ", "k", " ", "p", " ", "\[Alpha]"}], "-",
|
|
RowBox[{"4", " ", "k", " ", "p", " ", "r", " ", "\[Alpha]"}], "+",
|
|
RowBox[{
|
|
SuperscriptBox["p", "2"], " ",
|
|
SuperscriptBox["\[Alpha]", "2"]}], "-",
|
|
RowBox[{"4", " ", "k", " ", "\[Theta]"}], "-",
|
|
RowBox[{"2", " ", "p", " ", "\[Alpha]", " ", "\[Theta]"}], "+",
|
|
SuperscriptBox["\[Theta]", "2"], "-",
|
|
RowBox[{"2", " ", "cs", " ",
|
|
RowBox[{"(",
|
|
RowBox[{
|
|
RowBox[{"2", " ", "k", " ", "r"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}], ")"}]}]}],
|
|
RowBox[{"4", " ", "k"}]]], "Output",
|
|
CellChangeTimes->{3.846126788565943*^9},
|
|
CellLabel->"Out[4]=",ExpressionUUID->"436b012a-9277-4588-aa71-991d2cef1f1c"]
|
|
}, Open ]],
|
|
|
|
Cell[CellGroupData[{
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"Factor", "[",
|
|
FractionBox[
|
|
RowBox[{
|
|
SuperscriptBox["cs", "2"], "-",
|
|
RowBox[{"4", " ", "cv", " ", "k"}], "+",
|
|
RowBox[{"4", " ", "k", " ", "v"}], "+",
|
|
RowBox[{"4", " ", "k", " ", "p", " ", "\[Alpha]"}], "-",
|
|
RowBox[{"4", " ", "k", " ", "p", " ", "r", " ", "\[Alpha]"}], "+",
|
|
RowBox[{
|
|
SuperscriptBox["p", "2"], " ",
|
|
SuperscriptBox["\[Alpha]", "2"]}], "-",
|
|
RowBox[{"4", " ", "k", " ", "\[Theta]"}], "-",
|
|
RowBox[{"2", " ", "p", " ", "\[Alpha]", " ", "\[Theta]"}], "+",
|
|
SuperscriptBox["\[Theta]", "2"], "-",
|
|
RowBox[{"2", " ", "cs", " ",
|
|
RowBox[{"(",
|
|
RowBox[{
|
|
RowBox[{"2", " ", "k", " ", "r"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}], ")"}]}]}],
|
|
RowBox[{"4", " ", "k"}]], "]"}]], "Input",
|
|
NumberMarks->False,
|
|
CellLabel->"In[5]:=",ExpressionUUID->"6be0ec8e-cffe-41ec-9136-89aa592bccbc"],
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"-",
|
|
FractionBox[
|
|
RowBox[{
|
|
RowBox[{"-",
|
|
SuperscriptBox["cs", "2"]}], "+",
|
|
RowBox[{"4", " ", "cv", " ", "k"}], "+",
|
|
RowBox[{"4", " ", "cs", " ", "k", " ", "r"}], "-",
|
|
RowBox[{"4", " ", "k", " ", "v"}], "-",
|
|
RowBox[{"2", " ", "cs", " ", "p", " ", "\[Alpha]"}], "-",
|
|
RowBox[{"4", " ", "k", " ", "p", " ", "\[Alpha]"}], "+",
|
|
RowBox[{"4", " ", "k", " ", "p", " ", "r", " ", "\[Alpha]"}], "-",
|
|
RowBox[{
|
|
SuperscriptBox["p", "2"], " ",
|
|
SuperscriptBox["\[Alpha]", "2"]}], "+",
|
|
RowBox[{"2", " ", "cs", " ", "\[Theta]"}], "+",
|
|
RowBox[{"4", " ", "k", " ", "\[Theta]"}], "+",
|
|
RowBox[{"2", " ", "p", " ", "\[Alpha]", " ", "\[Theta]"}], "-",
|
|
SuperscriptBox["\[Theta]", "2"]}],
|
|
RowBox[{"4", " ", "k"}]]}]], "Output",
|
|
CellChangeTimes->{3.846126942683182*^9},
|
|
CellLabel->"Out[5]=",ExpressionUUID->"8a6da678-c7c0-4ce9-8c44-b0f326c7daed"]
|
|
}, Open ]],
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"e", ":=",
|
|
FractionBox[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}],
|
|
RowBox[{"2", " ", "k"}]]}]], "Input",
|
|
CellChangeTimes->{{3.84612844576548*^9, 3.8461284529521914`*^9}},
|
|
CellLabel->"In[1]:=",ExpressionUUID->"f5c57c71-d11c-4b92-ac33-a30e3b87ffb5"],
|
|
|
|
Cell[CellGroupData[{
|
|
|
|
Cell[BoxData["e"], "Input",
|
|
CellChangeTimes->{{3.8461284561265373`*^9, 3.8461284575859756`*^9}},
|
|
CellLabel->"In[2]:=",ExpressionUUID->"a94d91fa-c648-4911-98a8-f342adb51abe"],
|
|
|
|
Cell[BoxData[
|
|
FractionBox[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}],
|
|
RowBox[{"2", " ", "k"}]]], "Output",
|
|
CellChangeTimes->{3.846128459222456*^9},
|
|
CellLabel->"Out[2]=",ExpressionUUID->"275e2929-c0d9-4bb2-b9b0-ddd7aff787fa"]
|
|
}, Open ]],
|
|
|
|
Cell[CellGroupData[{
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"r", "=",
|
|
RowBox[{"\[Beta]",
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-", "e"}], ")"}]}]}]], "Input",
|
|
CellChangeTimes->{{3.846128462214486*^9, 3.846128472945842*^9}},
|
|
CellLabel->"In[3]:=",ExpressionUUID->"47abdb9d-fc3d-4ba1-9744-ea88f8268d55"],
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"\[Beta]", " ",
|
|
RowBox[{"(",
|
|
RowBox[{"1", "-",
|
|
FractionBox[
|
|
RowBox[{
|
|
RowBox[{"-", "cs"}], "-",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "+", "\[Theta]"}],
|
|
RowBox[{"2", " ", "k"}]]}], ")"}]}]], "Output",
|
|
CellChangeTimes->{3.846128475044812*^9},
|
|
CellLabel->"Out[3]=",ExpressionUUID->"76911703-d7a4-4ef1-a1a4-37b6503d8ae5"]
|
|
}, Open ]],
|
|
|
|
Cell[CellGroupData[{
|
|
|
|
Cell[BoxData[
|
|
RowBox[{"Simplify", "[", "r", "]"}]], "Input",
|
|
NumberMarks->False,
|
|
CellLabel->"In[4]:=",ExpressionUUID->"a42915a0-20f3-494b-8af5-7ea396efe828"],
|
|
|
|
Cell[BoxData[
|
|
FractionBox[
|
|
RowBox[{"\[Beta]", " ",
|
|
RowBox[{"(",
|
|
RowBox[{"cs", "+",
|
|
RowBox[{"2", " ", "k"}], "+",
|
|
RowBox[{"p", " ", "\[Alpha]"}], "-", "\[Theta]"}], ")"}]}],
|
|
RowBox[{"2", " ", "k"}]]], "Output",
|
|
CellChangeTimes->{3.846128479397938*^9},
|
|
CellLabel->"Out[4]=",ExpressionUUID->"9e700385-4625-4504-9da1-953eed275641"]
|
|
}, Open ]]
|
|
},
|
|
WindowSize->{808, 730},
|
|
WindowMargins->{{106, Automatic}, {Automatic, 33}},
|
|
FrontEndVersion->"12.1 for Mac OS X x86 (64-bit) \
|
|
(2020\:5e743\:670813\:65e5)",
|
|
StyleDefinitions->"Default.nb",
|
|
ExpressionUUID->"5f85abfb-b858-4f92-95d3-6dc8a0a2ba82"
|
|
]
|
|
(* End of Notebook Content *)
|
|
|
|
(* Internal cache information *)
|
|
(*CellTagsOutline
|
|
CellTagsIndex->{}
|
|
*)
|
|
(*CellTagsIndex
|
|
CellTagsIndex->{}
|
|
*)
|
|
(*NotebookFileOutline
|
|
Notebook[{
|
|
Cell[CellGroupData[{
|
|
Cell[580, 22, 665, 18, 30, "Input",ExpressionUUID->"553d9f93-57ee-446e-969c-6336485a037f"],
|
|
Cell[1248, 42, 628, 19, 34, "Output",ExpressionUUID->"12f54655-f5e8-4b05-8f91-4b5e3e4b1436"]
|
|
}, Open ]],
|
|
Cell[CellGroupData[{
|
|
Cell[1913, 66, 179, 2, 30, "Input",ExpressionUUID->"5b966050-eaea-412b-b516-078233762697"],
|
|
Cell[2095, 70, 628, 19, 34, "Output",ExpressionUUID->"e8db741c-d426-4236-96db-9d31892d5e78"]
|
|
}, Open ]],
|
|
Cell[CellGroupData[{
|
|
Cell[2760, 94, 657, 20, 46, "Input",ExpressionUUID->"1bd13cc6-5530-4f30-b92f-97e81c847bfb"],
|
|
Cell[3420, 116, 529, 13, 34, "Output",ExpressionUUID->"19cb7435-7293-495b-b682-1561d17d81c5"]
|
|
}, Open ]],
|
|
Cell[CellGroupData[{
|
|
Cell[3986, 134, 229, 4, 44, "Input",ExpressionUUID->"2f06cf4b-04e6-478a-9dd7-2447136326f1"],
|
|
Cell[4218, 140, 281, 6, 34, "Output",ExpressionUUID->"4ad131c6-d82c-48fe-b7c0-d85f7d044fe8"]
|
|
}, Open ]],
|
|
Cell[4514, 149, 405, 10, 44, "Input",ExpressionUUID->"48fd95d3-c9ea-4b85-a251-49129f3d376a"],
|
|
Cell[CellGroupData[{
|
|
Cell[4944, 163, 587, 16, 83, InheritFromParent,ExpressionUUID->"08025e69-5ef1-4f16-a1a0-d8f518316e66"],
|
|
Cell[5534, 181, 372, 10, 49, "Output",ExpressionUUID->"e8a16c17-7047-4abe-a93b-41780fd879d9"]
|
|
}, Open ]],
|
|
Cell[CellGroupData[{
|
|
Cell[5943, 196, 595, 17, 30, "Input",ExpressionUUID->"fac266a2-7cf3-4bec-8564-ecda3442c2c1"],
|
|
Cell[6541, 215, 1083, 34, 53, "Output",ExpressionUUID->"80fbdb60-7372-487e-be8f-d5a27663c45b"]
|
|
}, Open ]],
|
|
Cell[CellGroupData[{
|
|
Cell[7661, 254, 166, 3, 44, "Input",ExpressionUUID->"1d2e3af8-c8a8-4ce4-85b8-e9878eae70d8"],
|
|
Cell[7830, 259, 889, 21, 53, "Output",ExpressionUUID->"436b012a-9277-4588-aa71-991d2cef1f1c"]
|
|
}, Open ]],
|
|
Cell[CellGroupData[{
|
|
Cell[8756, 285, 918, 22, 63, "Input",ExpressionUUID->"6be0ec8e-cffe-41ec-9136-89aa592bccbc"],
|
|
Cell[9677, 309, 929, 21, 53, "Output",ExpressionUUID->"8a6da678-c7c0-4ce9-8c44-b0f326c7daed"]
|
|
}, Open ]],
|
|
Cell[10621, 333, 334, 8, 46, "Input",ExpressionUUID->"f5c57c71-d11c-4b92-ac33-a30e3b87ffb5"],
|
|
Cell[CellGroupData[{
|
|
Cell[10980, 345, 175, 2, 30, "Input",ExpressionUUID->"a94d91fa-c648-4911-98a8-f342adb51abe"],
|
|
Cell[11158, 349, 282, 7, 49, "Output",ExpressionUUID->"275e2929-c0d9-4bb2-b9b0-ddd7aff787fa"]
|
|
}, Open ]],
|
|
Cell[CellGroupData[{
|
|
Cell[11477, 361, 266, 6, 30, "Input",ExpressionUUID->"47abdb9d-fc3d-4ba1-9744-ea88f8268d55"],
|
|
Cell[11746, 369, 372, 10, 49, "Output",ExpressionUUID->"76911703-d7a4-4ef1-a1a4-37b6503d8ae5"]
|
|
}, Open ]],
|
|
Cell[CellGroupData[{
|
|
Cell[12155, 384, 160, 3, 44, "Input",ExpressionUUID->"a42915a0-20f3-494b-8af5-7ea396efe828"],
|
|
Cell[12318, 389, 356, 9, 51, "Output",ExpressionUUID->"9e700385-4625-4504-9da1-953eed275641"]
|
|
}, Open ]]
|
|
}
|
|
]
|
|
*)
|
|
|
|
(* End of internal cache information *)
|
|
|