From 8301ee2da24e239b0ed785adcee681ae6ff52ca1 Mon Sep 17 00:00:00 2001 From: Xisco Jimenez Forteza <you@example.com> Date: Wed, 7 Oct 2020 16:46:36 +0200 Subject: [PATCH] adding rhoeff --- code/fRTOV.nb | 1633 +++++++++++++++++++++++++++++++++++++------------ 1 file changed, 1250 insertions(+), 383 deletions(-) diff --git a/code/fRTOV.nb b/code/fRTOV.nb index 53182f6..b4c062a 100644 --- a/code/fRTOV.nb +++ b/code/fRTOV.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 1514247, 33067] -NotebookOptionsPosition[ 1473493, 32413] -NotebookOutlinePosition[ 1473830, 32428] -CellTagsIndexPosition[ 1473787, 32425] +NotebookDataLength[ 1553087, 33934] +NotebookOptionsPosition[ 1511045, 33262] +NotebookOutlinePosition[ 1511384, 33277] +CellTagsIndexPosition[ 1511341, 33274] WindowFrame->Normal*) (* Beginning of Notebook Content *) @@ -96,7 +96,7 @@ Cell[BoxData[ in multiple contexts \\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"\\\\\\\"NRLists`\ \\\\\\\"\\\", \\\",\\\", \\\"\\\\\\\"GRTensor`\\\\\\\"\\\"}], \\\"}\\\"}]\\); \ definitions in context \\!\\(\\*RowBox[{\\\"\\\\\\\"NRLists`\\\\\\\"\\\"}]\\) \ -may shadow or be shadowed by other definitions.\"",2,3,1,19718159296837622620, +may shadow or be shadowed by other definitions.\"",2,3,1,19721115528907403351, "Local","NRLists`TakeColumn"}, "MessageTemplate2"]], "Message", "MSG", CellChangeTimes->{ @@ -154,10 +154,10 @@ may shadow or be shadowed by other definitions.\"",2,3,1,19718159296837622620, 3.80032976830613*^9, 3.800539296149782*^9, 3.8009421915098543`*^9, 3.8013757179268*^9, 3.801461377943521*^9, 3.810611171301944*^9, 3.810611599675091*^9, 3.810611726966116*^9, {3.810616088796761*^9, - 3.8106161021105223`*^9}, 3.810616140227415*^9}, + 3.8106161021105223`*^9}, 3.810616140227415*^9, 3.811067231592345*^9}, CellLabel-> "During evaluation of \ -In[1]:=",ExpressionUUID->"5123cd78-85dc-49c2-b745-cf67c0c82684"], +In[1]:=",ExpressionUUID->"68d9f255-ff04-4a32-91ae-82a6e0e2413d"], Cell[BoxData[ TemplateBox[{ @@ -165,7 +165,7 @@ Cell[BoxData[ "\"\\!\\(\\*RowBox[{\\\"\\\\\\\"ErrorBarPlots`\\\\\\\"\\\"}]\\) is now \ obsolete. The legacy version being loaded may conflict with current \ functionality. See the Compatibility Guide for updating information.\"",2,3,2, - 19718159296837622620,"Local"}, + 19721115528907403351,"Local"}, "MessageTemplate"]], "Message", "MSG", CellChangeTimes->{ 3.746871497164113*^9, 3.746944059800922*^9, 3.74712138071828*^9, @@ -222,10 +222,10 @@ functionality. See the Compatibility Guide for updating information.\"",2,3,2, 3.80032976830613*^9, 3.800539296149782*^9, 3.8009421915098543`*^9, 3.8013757179268*^9, 3.801461377943521*^9, 3.810611171301944*^9, 3.810611599675091*^9, 3.810611726966116*^9, {3.810616088796761*^9, - 3.8106161021105223`*^9}, 3.8106161403007383`*^9}, + 3.8106161021105223`*^9}, 3.810616140227415*^9, 3.811067231681481*^9}, CellLabel-> "During evaluation of \ -In[1]:=",ExpressionUUID->"cd17808d-b4c5-46be-b318-13679956f566"], +In[1]:=",ExpressionUUID->"add0d131-4a59-40a5-8592-2170878f27fb"], Cell[BoxData[ TemplateBox[{ @@ -235,7 +235,7 @@ in multiple contexts \\!\\(\\*RowBox[{\\\"{\\\", \ RowBox[{\\\"\\\\\\\"DataFits`\\\\\\\"\\\", \\\",\\\", \\\"\\\\\\\"GRTensor`\\\ \\\\\"\\\"}], \\\"}\\\"}]\\); definitions in context \ \\!\\(\\*RowBox[{\\\"\\\\\\\"DataFits`\\\\\\\"\\\"}]\\) may shadow or be \ -shadowed by other definitions.\"",2,3,3,19718159296837622620,"Local", +shadowed by other definitions.\"",2,3,3,19721115528907403351,"Local", "DataFits`AtomsList"}, "MessageTemplate2"]], "Message", "MSG", CellChangeTimes->{ @@ -293,10 +293,10 @@ shadowed by other definitions.\"",2,3,3,19718159296837622620,"Local", 3.80032976830613*^9, 3.800539296149782*^9, 3.8009421915098543`*^9, 3.8013757179268*^9, 3.801461377943521*^9, 3.810611171301944*^9, 3.810611599675091*^9, 3.810611726966116*^9, {3.810616088796761*^9, - 3.8106161021105223`*^9}, 3.8106161403391333`*^9}, + 3.8106161021105223`*^9}, 3.810616140227415*^9, 3.811067231693307*^9}, CellLabel-> "During evaluation of \ -In[1]:=",ExpressionUUID->"8e824c2b-74b2-484d-b1d1-bd7ac82d75ae"], +In[1]:=",ExpressionUUID->"1eb31a94-f96e-47e0-acfb-5358cd6216a2"], Cell[BoxData[ TemplateBox[{ @@ -307,7 +307,7 @@ multiple contexts \\!\\(\\*RowBox[{\\\"{\\\", \ RowBox[{\\\"\\\\\\\"NRTimeSeries`\\\\\\\"\\\", \\\",\\\", \ \\\"\\\\\\\"GRTensor`\\\\\\\"\\\"}], \\\"}\\\"}]\\); definitions in context \ \\!\\(\\*RowBox[{\\\"\\\\\\\"NRTimeSeries`\\\\\\\"\\\"}]\\) may shadow or be \ -shadowed by other definitions.\"",2,4,4,19718159296837622620,"Local", +shadowed by other definitions.\"",2,4,4,19721115528907403351,"Local", "NRTimeSeries`InterpolationDomain"}, "MessageTemplate2"]], "Message", "MSG", CellChangeTimes->{ @@ -365,17 +365,17 @@ shadowed by other definitions.\"",2,4,4,19718159296837622620,"Local", 3.80032976830613*^9, 3.800539296149782*^9, 3.8009421915098543`*^9, 3.8013757179268*^9, 3.801461377943521*^9, 3.810611171301944*^9, 3.810611599675091*^9, 3.810611726966116*^9, {3.810616088796761*^9, - 3.8106161021105223`*^9}, 3.810616140558723*^9}, + 3.8106161021105223`*^9}, 3.810616140227415*^9, 3.811067231895816*^9}, CellLabel-> "During evaluation of \ -In[1]:=",ExpressionUUID->"d3d10c1e-ff59-4867-ac22-8d9162d430e9"], +In[1]:=",ExpressionUUID->"184722dc-276b-4ba7-9b50-4d07d823a120"], Cell[BoxData[ TemplateBox[{ "Get","noopen", "\"Cannot open \ \\!\\(\\*RowBox[{\\\"\\\\\\\"NinjaBase`\\\\\\\"\\\"}]\\).\"",2,4,5, - 19718159296837622620,"Local"}, + 19721115528907403351,"Local"}, "MessageTemplate"]], "Message", "MSG", CellChangeTimes->{ 3.746871497164113*^9, 3.746944059800922*^9, 3.74712138071828*^9, @@ -432,16 +432,16 @@ Cell[BoxData[ 3.80032976830613*^9, 3.800539296149782*^9, 3.8009421915098543`*^9, 3.8013757179268*^9, 3.801461377943521*^9, 3.810611171301944*^9, 3.810611599675091*^9, 3.810611726966116*^9, {3.810616088796761*^9, - 3.8106161021105223`*^9}, 3.810616141479867*^9}, + 3.8106161021105223`*^9}, 3.810616140227415*^9, 3.811067233985973*^9}, CellLabel-> "During evaluation of \ -In[1]:=",ExpressionUUID->"fedee552-2b24-444a-bd22-972352b4bb8b"], +In[1]:=",ExpressionUUID->"a552afad-af1c-4db9-82c4-a1952d7d3401"], Cell[BoxData[ TemplateBox[{ "Needs","nocont", "\"Context \\!\\(\\*RowBox[{\\\"\\\\\\\"NinjaBase`\\\\\\\"\\\"}]\\) was \ -not created when Needs was evaluated.\"",2,4,6,19718159296837622620,"Local"}, +not created when Needs was evaluated.\"",2,4,6,19721115528907403351,"Local"}, "MessageTemplate"]], "Message", "MSG", CellChangeTimes->{ 3.746871497164113*^9, 3.746944059800922*^9, 3.74712138071828*^9, @@ -498,10 +498,10 @@ not created when Needs was evaluated.\"",2,4,6,19718159296837622620,"Local"}, 3.80032976830613*^9, 3.800539296149782*^9, 3.8009421915098543`*^9, 3.8013757179268*^9, 3.801461377943521*^9, 3.810611171301944*^9, 3.810611599675091*^9, 3.810611726966116*^9, {3.810616088796761*^9, - 3.8106161021105223`*^9}, 3.810616141485244*^9}, + 3.8106161021105223`*^9}, 3.810616140227415*^9, 3.8110672339930677`*^9}, CellLabel-> "During evaluation of \ -In[1]:=",ExpressionUUID->"ad3ff183-14de-4a38-9dd4-b0d2e83f9da6"] +In[1]:=",ExpressionUUID->"e91c7c9b-69d3-472e-9b6e-2dc2d047bef5"] }, Open ]], Cell[CellGroupData[{ @@ -1282,8 +1282,8 @@ Cell[BoxData[ 3.800267177579319*^9, 3.8003297709626627`*^9, 3.80053929860681*^9, 3.800942193950385*^9, 3.8013757229523478`*^9, 3.801461381449903*^9, 3.810611174091031*^9, 3.81061160317878*^9, 3.810611727129423*^9, - 3.810616102319569*^9, 3.810616143416667*^9}, - CellLabel->"Out[5]=",ExpressionUUID->"2317a09c-3622-4c21-8a0a-70f917f89a3a"] + 3.810616102319569*^9, 3.810616143416667*^9, 3.811067234799273*^9}, + CellLabel->"Out[5]=",ExpressionUUID->"e26c41ae-7e0e-4584-88ec-cd13b9720548"] }, Open ]] }, Open ]], @@ -1332,7 +1332,7 @@ Cell[BoxData[{ 3.71912639669911*^9}, {3.724072460832786*^9, 3.724072467201078*^9}, { 3.725084601527223*^9, 3.725084625197569*^9}, {3.7337367520460243`*^9, 3.73373675229137*^9}, {3.7337368914027243`*^9, 3.7337369134723597`*^9}}, - CellLabel->"In[7]:=",ExpressionUUID->"a948f404-6fd9-4fe5-a838-380ebe7da944"] + CellLabel->"In[6]:=",ExpressionUUID->"a948f404-6fd9-4fe5-a838-380ebe7da944"] }, Closed]], Cell[CellGroupData[{ @@ -1480,7 +1480,7 @@ Cell[BoxData[{ 3.752911182797737*^9, 3.7529111834029713`*^9}, {3.756792269346093*^9, 3.756792281031231*^9}, 3.757660566742996*^9, {3.760426018088688*^9, 3.760426018299608*^9}}, - CellLabel->"In[14]:=",ExpressionUUID->"1ad43db6-9498-4d09-bd75-e999ffd7c57c"], + CellLabel->"In[13]:=",ExpressionUUID->"1ad43db6-9498-4d09-bd75-e999ffd7c57c"], Cell[BoxData[ InterpretationBox[ @@ -1520,10 +1520,39 @@ Cell[BoxData[ 3.799741134870844*^9, 3.799741452166616*^9, 3.7997430735106688`*^9, 3.799743746532728*^9, 3.800267177713377*^9, 3.800329771078725*^9, 3.800539298734221*^9, 3.800942195216084*^9, 3.801375723040248*^9, - 3.801461381544629*^9, 3.810611185204132*^9, 3.8106116040399523`*^9}, + 3.801461381544629*^9, 3.810611185204132*^9, 3.8106116040399523`*^9, + 3.8110672451955347`*^9}, CellLabel-> "During evaluation of \ -In[14]:=",ExpressionUUID->"9057feea-4706-40d0-9cef-df065807a7c0"] +In[13]:=",ExpressionUUID->"166cf5f0-9c5c-4c17-b2d4-7866a55a4b93"], + +Cell[BoxData["$Aborted"], "Output", + CellChangeTimes->{3.81106727039895*^9}, + CellLabel->"Out[20]=",ExpressionUUID->"6df96f88-393f-4af2-a838-71e1cbd53d74"], + +Cell[BoxData[ + TemplateBox[{ + "Interpolation","innd", + "\"First argument in \\!\\(\\*RowBox[{\\\"listeos\\\"}]\\) does not \ +contain a list of data and coordinates.\"",2,21,7,19721115528907403351, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.811067270402441*^9}, + CellLabel-> + "During evaluation of \ +In[13]:=",ExpressionUUID->"1f605056-e91a-4d2b-aa8a-e169421bb52d"], + +Cell[BoxData[ + TemplateBox[{ + "Interpolation","innd", + "\"First argument in \\!\\(\\*RowBox[{\\\"listeos\\\"}]\\) does not \ +contain a list of data and coordinates.\"",2,22,8,19721115528907403351, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.811067270411996*^9}, + CellLabel-> + "During evaluation of \ +In[13]:=",ExpressionUUID->"688b8ccd-d8f0-41df-8a8e-589ed4e7213d"] }, Open ]], Cell[CellGroupData[{ @@ -3798,6 +3827,826 @@ Cell[BoxData[ Cell[CellGroupData[{ +Cell[BoxData[ + RowBox[{"Names", "[", "\"\<GRTensor`*\>\"", "]"}]], "Input", + CellChangeTimes->{{3.811067252468101*^9, 3.811067260811489*^9}}, + CellLabel->"In[23]:=",ExpressionUUID->"ef02aa87-a03d-4556-adde-f92d7dca4182"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"\<\"GRTensor`AtomsList\"\>", ",", "\<\"BracketingSTNStars\"\>", + ",", "\<\"CheckTetrad\"\>", ",", "\<\"ChristoffelSymbol\"\>", + ",", "\<\"ChristoffelSymbolDev\"\>", ",", "\<\"CovDer\"\>", + ",", "\<\"CurlCurvilinear\"\>", ",", "\<\"DAlembert\"\>", + ",", "\<\"Einstein\"\>", ",", "\<\"EinsteinfR\"\>", + ",", "\<\"EinsteinST\"\>", ",", "\<\"ElectricTensor3p1Dev\"\>", + ",", "\<\"EoSBSks\"\>", ",", "\<\"EoSCallParsBSks\"\>", + ",", "\<\"EoSCallParsSly\"\>", ",", "\<\"EoSFits\"\>", + ",", "\<\"EoSFitsPars\"\>", ",", "\<\"EoSPol\"\>", + ",", "\<\"EoSPol\[Epsilon]\"\>", ",", "\<\"EoSSly\"\>", + ",", "\<\"EoSSlyCrust\"\>", ",", "\<\"ETensor\"\>", ",", "\<\"fR2Pot\"\>", + ",", "\<\"fR2\[Phi]\"\>", ",", "\<\"From\[Rho]To\[Epsilon]Fits\"\>", + ",", "\<\"FRTOV\"\>", ",", "\<\"GRTensor`InterpolationDomain\"\>", + ",", "\<\"InverseMetric\"\>", ",", "\<\"KrScalar\"\>", + ",", "\<\"LeviCivitaTensorCurv\"\>", ",", "\<\"MagneticTensor3p1Dev\"\>", + ",", "\<\"MetDet\"\>", ",", "\<\"NonZeroChristoffel\"\>", + ",", "\<\"NonZeroMetricComp\"\>", ",", "\<\"NonZeroTensorComp\"\>", + ",", "\<\"RicciScalar\"\>", ",", "\<\"RicciTensor\"\>", + ",", "\<\"RicciTensorDev\"\>", ",", "\<\"RiemannTensor\"\>", + ",", "\<\"RiemannTensorDev\"\>", ",", "\<\"RK4\"\>", + ",", "\<\"ShootingNStars\"\>", ",", "\<\"SlyInner\"\>", + ",", "\<\"SlyInnerAll\"\>", ",", "\<\"SlyLCore\"\>", + ",", "\<\"SlyLCoreAll\"\>", ",", "\<\"STensorT\[Psi]\"\>", + ",", "\<\"STTOV\"\>", ",", "\<\"GRTensor`TakeColumn\"\>", + ",", "\<\"TeffFR\"\>", ",", "\<\"TeffST\"\>", ",", "\<\"TestCode\"\>", + ",", "\<\"WeylTensor\"\>", ",", "\<\"WeylTrace\"\>", + ",", "\<\"\[Omega]eff\"\>"}], "}"}]], "Output", + CellChangeTimes->{3.811067274139155*^9}, + CellLabel->"Out[23]=",ExpressionUUID->"b4ddf2ec-6685-4317-8274-db3ddfd99839"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"?", "TeffST"}]], "Input", + CellChangeTimes->{3.811067304831257*^9}, + CellLabel->"In[24]:=",ExpressionUUID->"4685bf30-e8af-4b49-899a-1f5ef62d7018"], + +Cell[BoxData[ + InterpretationBox[ + StyleBox[ + FrameBox[ + DynamicModuleBox[{System`InformationDump`open$$ = False, + System`InformationDump`mouseOver$$ = False}, + PaneSelectorBox[{True-> + TagBox[GridBox[{ + { + ItemBox[ + PaneBox[ + StyleBox["\<\" Symbol\"\>", "InformationTitleText", + StripOnInput->False, + BaseStyle -> None], + FrameMargins->{{4, 0}, {-1, 1}}], + BaseStyle->"InformationTitleBackground", + StripOnInput->False], + ItemBox["\<\"\"\>", + BaseStyle->"InformationTitleBackground", + StripOnInput->False]}, + { + ItemBox[ + PaneBox[ + + StyleBox["\<\"TeffST[coords_,g_,{V\[CurlyPhi],\[CurlyPhi]}]. \ +Compute ST-EF/JF Teff tensor such Gab=8\[Pi] (Tab + Teff) following the \ +convention of Misner et al., that is, [S2] = 1, [S3] = 1. Allowed options for \ +the Frame are Einstein, Jordan\"\>", "InformationUsageText", + StripOnInput->False, + LineSpacing->{1.5, 1.5, 3.}], + FrameMargins->{{10, 10}, {8, 10}}], + BaseStyle->"InformationUsageSubtitleBackground", + StripOnInput->False], + ItemBox["\<\"\"\>", + BaseStyle->"InformationUsageSubtitleBackground", + StripOnInput->False]}, + { + PaneBox[GridBox[{ + { + + DynamicModuleBox[{System`InformationDump`open$$ = { + False, False, False, False, False, False, False, False, False, + False, False, False}}, + StyleBox[GridBox[{ + { + TagBox[ + TooltipBox[ + StyleBox["\<\" Definitions\"\>", "InformationRowLabel", + StripOnInput->False], + "\"Definitions\"", + TooltipStyle->"TextStyling"], + Annotation[#, "Definitions", "Tooltip"]& ], GridBox[{ + { + RowBox[{ + RowBox[{"TeffST", "[", + RowBox[{ + "GRTensor`Private`xx_", ",", "GRTensor`Private`g_", ",", + RowBox[{"{", + RowBox[{ + "GRTensor`Private`V\[CurlyPhi]_", ",", + "GRTensor`Private`var\[CurlyPhi]_"}], "}"}], ",", + RowBox[{"GRTensor`Private`pert_", ":", "0"}], ",", + RowBox[{"OptionsPattern", "[", "]"}]}], "]"}], ":=", + RowBox[{"Block", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + "GRTensor`Private`covterm1", ",", + "GRTensor`Private`covterm2", ",", + "GRTensor`Private`dalem", ",", "GRTensor`Private`der", + ",", "GRTensor`Private`gup", ",", + "GRTensor`Private`frame", ",", "GRTensor`Private`perti", + ",", "GRTensor`Private`res", ",", + "GRTensor`Private`riscal", ",", + "GRTensor`Private`riscalvars", ",", + "GRTensor`Private`simpl", ",", "GRTensor`Private`sumder", + ",", "GRTensor`Private`V\[CurlyPhi]c", ",", + "GRTensor`Private`\[CurlyPhi]c", ",", + "GRTensor`Private`\[Phi]term2"}], "}"}], ",", + RowBox[{ + RowBox[{"GRTensor`Private`perti", "=", + RowBox[{ + "OptionValue", "[", "\<\"PerturbationIndex\"\>", "]"}]}], + ";", + RowBox[{"GRTensor`Private`frame", "=", + RowBox[{"OptionValue", "[", "\<\"Frame\"\>", "]"}]}], ";", + RowBox[{"GRTensor`Private`simpl", "=", + RowBox[{ + "OptionValue", "[", "\<\"SimplifyFunction\"\>", "]"}]}], + ";", + RowBox[{"GRTensor`Private`riscal", "=", + RowBox[{"GRTensor`Private`simpl", "[", + RowBox[{"RicciScalar", "[", + RowBox[{ + "GRTensor`Private`xx", ",", "GRTensor`Private`g", ",", + "GRTensor`Private`pert", ",", + RowBox[{"\<\"PerturbationIndex\"\>", "\[Rule]", + "GRTensor`Private`perti"}]}], "]"}], "]"}]}], ";", + RowBox[{"GRTensor`Private`riscalvars", "=", + RowBox[{"Complement", "[", + RowBox[{"GRTensor`Private`xx", ",", + RowBox[{"Complement", "[", + RowBox[{"GRTensor`Private`xx", ",", + RowBox[{ + "GRTensor`AtomsList", "[", "GRTensor`Private`riscal", + "]"}]}], "]"}]}], "]"}]}], ";", + RowBox[{"GRTensor`Private`gup", "=", + RowBox[{"Inverse", "[", "GRTensor`Private`g", "]"}]}], + ";", + RowBox[{"GRTensor`Private`\[CurlyPhi]c", "=", + RowBox[{ + "GRTensor`Private`var\[CurlyPhi]", "@@", + "GRTensor`Private`riscalvars"}]}], ";", + RowBox[{"GRTensor`Private`V\[CurlyPhi]c", "=", + RowBox[{ + "GRTensor`Private`V\[CurlyPhi]", "/.", "\[VeryThinSpace]", + RowBox[{ + "GRTensor`Private`var\[CurlyPhi]", "\[Rule]", + "GRTensor`Private`\[CurlyPhi]c"}]}]}], ";", + RowBox[{"Which", "[", + RowBox[{ + RowBox[{ + "GRTensor`Private`frame", + "\[Equal]", "\<\"Einstein\"\>"}], ",", + RowBox[{ + RowBox[{"GRTensor`Private`der", "=", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{ + SubscriptBox["\[PartialD]", + RowBox[{ + "GRTensor`Private`xx", "\[LeftDoubleBracket]", + "GRTensor`Private`a", "\[RightDoubleBracket]"}]], + "GRTensor`Private`\[CurlyPhi]c"}], " ", + RowBox[{ + SubscriptBox["\[PartialD]", + RowBox[{ + "GRTensor`Private`xx", "\[LeftDoubleBracket]", + "GRTensor`Private`b", "\[RightDoubleBracket]"}]], + "GRTensor`Private`\[CurlyPhi]c"}]}], ",", + RowBox[{"{", + RowBox[{"GRTensor`Private`a", ",", + RowBox[{"Length", "[", "GRTensor`Private`xx", "]"}]}], + "}"}], ",", + RowBox[{"{", + RowBox[{"GRTensor`Private`b", ",", + RowBox[{"Length", "[", "GRTensor`Private`xx", "]"}]}], + "}"}]}], "]"}]}], ";", + RowBox[{"GRTensor`Private`sumder", "=", + RowBox[{ + UnderoverscriptBox["\[Sum]", "GRTensor`Private`a", + RowBox[{"Length", "[", "GRTensor`Private`xx", "]"}]], + RowBox[{ + UnderoverscriptBox["\[Sum]", "GRTensor`Private`b", + RowBox[{"Length", "[", "GRTensor`Private`xx", "]"}]], + RowBox[{ + RowBox[{"GRTensor`Private`gup", "\[LeftDoubleBracket]", + RowBox[{"GRTensor`Private`a", ",", "GRTensor`Private`b"}], + "\[RightDoubleBracket]"}], " ", + RowBox[{"GRTensor`Private`der", "\[LeftDoubleBracket]", + RowBox[{"GRTensor`Private`a", ",", "GRTensor`Private`b"}], + "\[RightDoubleBracket]"}]}]}]}]}], ";", + RowBox[{"GRTensor`Private`res", "=", + FractionBox[ + RowBox[{ + RowBox[{"2", " ", "GRTensor`Private`der"}], "-", + RowBox[{ + "GRTensor`Private`g", " ", "GRTensor`Private`sumder"}], + "-", + FractionBox[ + RowBox[{ + "GRTensor`Private`g", " ", + "GRTensor`Private`V\[CurlyPhi]c"}], "2"]}], + RowBox[{"8", " ", "\[Pi]"}]]}], ";"}], ",", + RowBox[{ + "GRTensor`Private`frame", "\[Equal]", "\<\"Jordan\"\>"}], + ",", + RowBox[{ + RowBox[{"GRTensor`Private`dalem", "=", + RowBox[{"DAlembert", "[", + RowBox[{ + "GRTensor`Private`xx", ",", "GRTensor`Private`g", ",", + "GRTensor`Private`\[CurlyPhi]c"}], "]"}]}], ";", + RowBox[{"GRTensor`Private`covterm1", "=", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"CovDer", "[", + RowBox[{ + "GRTensor`Private`xx", ",", "GRTensor`Private`g", ",", + "GRTensor`Private`\[CurlyPhi]c", ",", + RowBox[{"{", "GRTensor`Private`i", "}"}], ",", + + RowBox[{"\<\"Valence\"\>", + "\[Rule]", "\<\"Covariant\"\>"}], ",", + RowBox[{"\<\"Verbose\"\>", "\[Rule]", "False"}]}], "]"}], + ",", + RowBox[{"{", + RowBox[{"GRTensor`Private`i", ",", + RowBox[{"Length", "[", "GRTensor`Private`xx", "]"}]}], + "}"}]}], "]"}]}], ";", + RowBox[{"GRTensor`Private`covterm2", "=", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"CovDer", "[", + RowBox[{ + "GRTensor`Private`xx", ",", "GRTensor`Private`g", ",", + "GRTensor`Private`covterm1", ",", + RowBox[{"{", + RowBox[{"GRTensor`Private`i", ",", "GRTensor`Private`j"}], + "}"}], ",", + + RowBox[{"\<\"Valence\"\>", + "\[Rule]", "\<\"Covariant\"\>"}], ",", + RowBox[{"\<\"Verbose\"\>", "\[Rule]", "False"}]}], "]"}], + ",", + RowBox[{"{", + RowBox[{"GRTensor`Private`i", ",", + RowBox[{"Length", "[", "GRTensor`Private`xx", "]"}]}], + "}"}], ",", + RowBox[{"{", + RowBox[{"GRTensor`Private`j", ",", + RowBox[{"Length", "[", "GRTensor`Private`xx", "]"}]}], + "}"}]}], "]"}]}], ";", + RowBox[{"GRTensor`Private`\[Phi]term2", "=", + RowBox[{"GRTensor`Private`covterm2", "-", + RowBox[{ + "GRTensor`Private`g", " ", "GRTensor`Private`dalem"}]}]}], + ";", + RowBox[{"GRTensor`Private`res", "=", + RowBox[{"If", "[", + RowBox[{ + RowBox[{"!", + RowBox[{"NumericQ", "[", "GRTensor`Private`pert", "]"}]}], + ",", + RowBox[{"Normal", "[", + RowBox[{"Series", "[", + RowBox[{ + FractionBox[ + RowBox[{"GRTensor`Private`\[Phi]term2", "-", + FractionBox[ + RowBox[{ + "GRTensor`Private`V\[CurlyPhi]c", " ", + "GRTensor`Private`g"}], "2"]}], + RowBox[{"8", " ", "\[Pi]"}]], ",", + RowBox[{"{", + RowBox[{ + "GRTensor`Private`pert", ",", "0", ",", + "GRTensor`Private`perti"}], "}"}]}], "]"}], "]"}], ",", + FractionBox[ + RowBox[{"GRTensor`Private`\[Phi]term2", "-", + FractionBox[ + RowBox[{ + "GRTensor`Private`V\[CurlyPhi]c", " ", + "GRTensor`Private`g"}], "2"]}], + RowBox[{"8", " ", "\[Pi]"}]]}], "]"}]}], ";"}], ",", + "True", ",", + RowBox[{ + RowBox[{ + "Print", "[", "\<\"Wrong option for Frame\"\>", "]"}], + ";", + RowBox[{"Return", "[", "]"}], ";"}]}], "]"}], ";", + RowBox[{"If", "[", + RowBox[{ + RowBox[{"NumberQ", "[", "GRTensor`Private`pert", "]"}], + ",", + RowBox[{"Simplify", "[", "GRTensor`Private`res", "]"}], + ",", + RowBox[{"Simplify", "[", + RowBox[{"Normal", "[", + RowBox[{"Series", "[", + RowBox[{"GRTensor`Private`res", ",", + RowBox[{"{", + RowBox[{ + "GRTensor`Private`pert", ",", "0", ",", + "GRTensor`Private`perti"}], "}"}]}], "]"}], "]"}], + "]"}]}], "]"}]}]}], "]"}]}]} + }, + DefaultBaseStyle->"Column", + GridBoxAlignment->{"Columns" -> {{Left}}}, + + GridBoxItemSize->{ + "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}]}, + { + PaneSelectorBox[{True-> + ButtonBox[ + PaneSelectorBox[{False-> + + TemplateBox[{ + "\[ThickSpace]","\"\[ThickSpace]\"",StyleBox[ + "\"Options\"", "InformationRowLabel", StripOnInput -> + False],DynamicBox[ + FEPrivate`FrontEndResource[ + "FEBitmaps", "DownPointerOpener"]]}, + "RowWithSeparators"], True-> + + TemplateBox[{ + "\[ThickSpace]","\"\[ThickSpace]\"",StyleBox[ + "\"Options\"", "InformationRowLabel", StripOnInput -> + False],DynamicBox[ + FEPrivate`FrontEndResource[ + "FEBitmaps", "DownPointerOpenerHot"]]}, + "RowWithSeparators"]}, Dynamic[ + CurrentValue["MouseOver"]], + FrameMargins->0, + ImageSize->Automatic], + Appearance->None, + BaseStyle->None, + + ButtonFunction:>(Part[System`InformationDump`open$$, 9] = + False), + Evaluator->Automatic, + FrameMargins->0, + ImageMargins->0, + Method->"Preemptive"], False-> + ButtonBox[ + PaneSelectorBox[{False-> + + TemplateBox[{ + "\[ThickSpace]","\"\[ThickSpace]\"",StyleBox[ + "\"Options\"", "InformationRowLabel", StripOnInput -> + False],DynamicBox[ + FEPrivate`FrontEndResource[ + "FEBitmaps", "RightPointerOpener"]]}, + "RowWithSeparators"], True-> + + TemplateBox[{ + "\[ThickSpace]","\"\[ThickSpace]\"",StyleBox[ + "\"Options\"", "InformationRowLabel", StripOnInput -> + False],DynamicBox[ + FEPrivate`FrontEndResource[ + "FEBitmaps", "RightPointerOpenerHot"]]}, + "RowWithSeparators"]}, Dynamic[ + CurrentValue["MouseOver"]], + FrameMargins->0, + ImageSize->Automatic], + Appearance->None, + BaseStyle->None, + + ButtonFunction:>(Part[System`InformationDump`open$$, 9] = + True), + Evaluator->Automatic, + FrameMargins->0, + ImageMargins->0, + Method->"Preemptive"]}, Dynamic[ + FEPrivate`Part[System`InformationDump`open$$, 9]]], + PaneSelectorBox[{True->GridBox[{ + { + + RowBox[{"\<\"Frame\"\>", + "\[Rule]", "\<\"Einstein\"\>"}]}, + { + RowBox[{"\<\"Verbose\"\>", "\[Rule]", "False"}]}, + { + RowBox[{"\<\"PerturbationIndex\"\>", "\[Rule]", "1"}]}, + { + + RowBox[{"\<\"SimplifyFunction\"\>", "\[Rule]", + "Identity"}]}, + { + StyleBox[ + + TemplateBox[{ + "\"(\"","\"\[InvisibleSpace]\"","4","\" total)\""}, + "RowDefault"], "InformationRowOpener", + StripOnInput->False]} + }, + BaselinePosition->{Baseline, {1, 1}}, + DefaultBaseStyle->"Column", + GridBoxAlignment->{"Columns" -> {{Left}}}, + GridBoxItemSize->{ + "Columns" -> {{Automatic}}, "Rows" -> {{1.}}}], False-> + RowBox[{ + RowBox[{"\<\"Frame\"\>", "\[Rule]", "\<\"Einstein\"\>"}], + "\[ThinSpace]", + StyleBox["\<\"\[Ellipsis]\"\>", "InformationRowOpener", + StripOnInput->False], "\[ThinSpace]", + StyleBox[ + + TemplateBox[{ + "\"(\"","\"\[InvisibleSpace]\"","4","\" total)\""}, + "RowDefault"], "InformationRowOpener", + StripOnInput->False]}]}, Dynamic[ + FEPrivate`Part[System`InformationDump`open$$, 9]], + BaselinePosition->Baseline, + ImageSize->Automatic]}, + { + TagBox[ + TooltipBox[ + StyleBox["\<\" Full Name\"\>", "InformationRowLabel", + StripOnInput->False], + "\"FullName\"", + TooltipStyle->"TextStyling"], + + Annotation[#, "FullName", + "Tooltip"]& ], "\<\"GRTensor`TeffST\"\>"} + }, + AutoDelete->False, + GridBoxAlignment->{"Columns" -> {Right, Left}}, + GridBoxDividers->None, + GridBoxItemSize->{"Columns" -> {Automatic, Automatic}}, + GridBoxSpacings->{"Columns" -> { + Offset[0.27999999999999997`], { + Offset[0.5599999999999999]}, + Offset[0.27999999999999997`]}, "Rows" -> { + Offset[0.2], { + Offset[0.8]}, + Offset[0.2]}}], "DialogStyle", + StripOnInput->False], + DynamicModuleValues:>{}]} + }, + DefaultBaseStyle->"Column", + GridBoxAlignment->{"Columns" -> {{Left}}}, + GridBoxDividers->{"Columns" -> {{False}}, "Rows" -> {{False}}}, + + GridBoxItemSize->{ + "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, + GridBoxSpacings->{"Columns" -> { + Offset[0.27999999999999997`], { + Offset[0.5599999999999999]}, + Offset[0.27999999999999997`]}, "Rows" -> { + Offset[0.2], { + Offset[3.6]}, + Offset[0.2]}}], + FrameMargins->6], ""}, + { + ItemBox[ + TagBox[ + ButtonBox[ + PaneSelectorBox[{False-> + + DynamicBox[FEPrivate`FrontEndResource[ + "FEBitmaps", "UpPointerOpener"]], True-> + + DynamicBox[FEPrivate`FrontEndResource[ + "FEBitmaps", "UpPointerOpenerHot"]]}, Dynamic[ + System`InformationDump`mouseOver$$]], + Alignment->Left, + Appearance->{"Default" -> None}, + + ButtonFunction:>FEPrivate`Set[ + System`InformationDump`open$$, False], + Evaluator->Automatic, + FrameMargins->{{9, 0}, {0, 0}}, + ImageMargins->0, + ImageSize->Full, + Method->"Preemptive"], + + EventHandlerTag[{ + "MouseEntered" :> + FEPrivate`Set[System`InformationDump`mouseOver$$, True], + "MouseExited" :> + FEPrivate`Set[System`InformationDump`mouseOver$$, False], + Method -> "Preemptive", PassEventsDown -> Automatic, + PassEventsUp -> True}]], + BaseStyle->"InformationTitleBackground", + StripOnInput->False], "\[SpanFromLeft]"} + }, + AutoDelete->False, + FrameStyle->Directive[ + GrayLevel[0.8], + Thickness[Tiny]], + GridBoxAlignment->{"Columns" -> {Left, Right}, "Rows" -> {{Center}}}, + GridBoxDividers->{ + "Columns" -> {{None}}, "Rows" -> {False, {True}, False}}, + GridBoxItemSize->{ + "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], + "Grid"], False-> + TagBox[GridBox[{ + { + ItemBox[ + PaneBox[ + StyleBox["\<\" Symbol\"\>", "InformationTitleText", + StripOnInput->False], + FrameMargins->{{4, 0}, {-1, 1}}], + BaseStyle->"InformationTitleBackground", + StripOnInput->False], + ItemBox["\<\"\"\>", + BaseStyle->"InformationTitleBackground", + StripOnInput->False]}, + { + ItemBox[ + PaneBox[ + + StyleBox["\<\"TeffST[coords_,g_,{V\[CurlyPhi],\[CurlyPhi]}]. \ +Compute ST-EF/JF Teff tensor such Gab=8\[Pi] (Tab + Teff) following the \ +convention of Misner et al., that is, [S2] = 1, [S3] = 1. Allowed options for \ +the Frame are Einstein, Jordan\"\>", "InformationUsageText", + StripOnInput->False, + LineSpacing->{1.5, 1.5, 3.}], + FrameMargins->{{10, 10}, {8, 10}}], + BaseStyle->"InformationUsageSubtitleBackground", + StripOnInput->False], + ItemBox["\<\"\"\>", + BaseStyle->"InformationUsageSubtitleBackground", + StripOnInput->False]}, + { + ItemBox[ + TagBox[ + ButtonBox[ + PaneSelectorBox[{False-> + + DynamicBox[FEPrivate`FrontEndResource[ + "FEBitmaps", "DownPointerOpener"], + ImageSizeCache->{10., {2., 8.}}], True-> + + DynamicBox[FEPrivate`FrontEndResource[ + "FEBitmaps", "DownPointerOpenerHot"], + ImageSizeCache->{10., {2., 8.}}]}, Dynamic[ + System`InformationDump`mouseOver$$]], + Alignment->Left, + Appearance->{"Default" -> None}, + + ButtonFunction:>FEPrivate`Set[ + System`InformationDump`open$$, True], + Evaluator->Automatic, + FrameMargins->{{9, 0}, {0, 0}}, + ImageMargins->0, + ImageSize->Full, + Method->"Preemptive"], + + EventHandlerTag[{ + "MouseEntered" :> + FEPrivate`Set[System`InformationDump`mouseOver$$, True], + "MouseExited" :> + FEPrivate`Set[System`InformationDump`mouseOver$$, False], + Method -> "Preemptive", PassEventsDown -> Automatic, + PassEventsUp -> True}]], + BaseStyle->"InformationTitleBackground", + StripOnInput->False], "\[SpanFromLeft]"} + }, + AutoDelete->False, + FrameStyle->Directive[ + GrayLevel[0.8], + Thickness[Tiny]], + GridBoxAlignment->{"Columns" -> {Left, Right}, "Rows" -> {{Center}}}, + GridBoxDividers->{ + "Columns" -> {{None}}, "Rows" -> {False, {True}, False}}, + GridBoxItemSize->{ + "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], + "Grid"]}, Dynamic[System`InformationDump`open$$], + BaselinePosition->Baseline, + FrameMargins->0, + ImageSize->Automatic], + DynamicModuleValues:>{}], + BaseStyle->"InformationGridFrame", + StripOnInput->False], "InformationGridPlain", + StripOnInput->False], + InformationData[ + Association[ + "ObjectType" -> "Symbol", "Usage" -> + "TeffST[coords_,g_,{V\[CurlyPhi],\[CurlyPhi]}]. Compute ST-EF/JF Teff \ +tensor such Gab=8\[Pi] (Tab + Teff) following the convention of Misner et \ +al., that is, [S2] = 1, [S3] = 1. Allowed options for the Frame are Einstein, \ +Jordan", "Documentation" -> None, "OwnValues" -> None, "UpValues" -> None, + "DownValues" -> + Information`InformationValueForm[ + DownValues, GRTensor`TeffST, {GRTensor`TeffST[ + Pattern[GRTensor`Private`xx, + Blank[]], + Pattern[GRTensor`Private`g, + Blank[]], { + Pattern[GRTensor`Private`V\[CurlyPhi], + Blank[]], + Pattern[GRTensor`Private`var\[CurlyPhi], + Blank[]]}, + Optional[ + Pattern[GRTensor`Private`pert, + Blank[]], 0], + OptionsPattern[]] :> + Block[{GRTensor`Private`covterm1, GRTensor`Private`covterm2, + GRTensor`Private`dalem, GRTensor`Private`der, GRTensor`Private`gup, + GRTensor`Private`frame, GRTensor`Private`perti, + GRTensor`Private`res, GRTensor`Private`riscal, + GRTensor`Private`riscalvars, GRTensor`Private`simpl, + GRTensor`Private`sumder, GRTensor`Private`V\[CurlyPhi]c, + GRTensor`Private`\[CurlyPhi]c, GRTensor`Private`\[Phi]term2}, + GRTensor`Private`perti = OptionValue["PerturbationIndex"]; + GRTensor`Private`frame = OptionValue["Frame"]; + GRTensor`Private`simpl = OptionValue["SimplifyFunction"]; + GRTensor`Private`riscal = GRTensor`Private`simpl[ + GRTensor`RicciScalar[ + GRTensor`Private`xx, GRTensor`Private`g, GRTensor`Private`pert, + "PerturbationIndex" -> GRTensor`Private`perti]]; + GRTensor`Private`riscalvars = Complement[GRTensor`Private`xx, + Complement[GRTensor`Private`xx, + GRTensor`AtomsList[GRTensor`Private`riscal]]]; + GRTensor`Private`gup = Inverse[GRTensor`Private`g]; + GRTensor`Private`\[CurlyPhi]c = + Apply[GRTensor`Private`var\[CurlyPhi], GRTensor`Private`riscalvars]; + GRTensor`Private`V\[CurlyPhi]c = + ReplaceAll[ + GRTensor`Private`V\[CurlyPhi], GRTensor`Private`var\[CurlyPhi] -> + GRTensor`Private`\[CurlyPhi]c]; + Which[GRTensor`Private`frame == "Einstein", + GRTensor`Private`der = Table[D[GRTensor`Private`\[CurlyPhi]c, + Part[GRTensor`Private`xx, GRTensor`Private`a]] + D[GRTensor`Private`\[CurlyPhi]c, + Part[GRTensor`Private`xx, GRTensor`Private`b]], { + GRTensor`Private`a, + Length[GRTensor`Private`xx]}, {GRTensor`Private`b, + Length[GRTensor`Private`xx]}]; + GRTensor`Private`sumder = + Sum[Part[ + GRTensor`Private`gup, GRTensor`Private`a, GRTensor`Private`b] + Part[GRTensor`Private`der, GRTensor`Private`a, + GRTensor`Private`b], {GRTensor`Private`a, + Length[GRTensor`Private`xx]}, {GRTensor`Private`b, + Length[GRTensor`Private`xx]}]; + GRTensor`Private`res = (1/(8 Pi)) (2 GRTensor`Private`der - + GRTensor`Private`g + GRTensor`Private`sumder - ((1/2) GRTensor`Private`g) + GRTensor`Private`V\[CurlyPhi]c); Null, GRTensor`Private`frame == + "Jordan", + GRTensor`Private`dalem = + GRTensor`DAlembert[ + GRTensor`Private`xx, GRTensor`Private`g, + GRTensor`Private`\[CurlyPhi]c]; + GRTensor`Private`covterm1 = Table[ + GRTensor`CovDer[ + GRTensor`Private`xx, GRTensor`Private`g, + GRTensor`Private`\[CurlyPhi]c, {GRTensor`Private`i}, "Valence" -> + "Covariant", "Verbose" -> False], {GRTensor`Private`i, + Length[GRTensor`Private`xx]}]; + GRTensor`Private`covterm2 = Table[ + GRTensor`CovDer[ + GRTensor`Private`xx, GRTensor`Private`g, + GRTensor`Private`covterm1, { + GRTensor`Private`i, GRTensor`Private`j}, "Valence" -> + "Covariant", "Verbose" -> False], {GRTensor`Private`i, + Length[GRTensor`Private`xx]}, {GRTensor`Private`j, + Length[GRTensor`Private`xx]}]; + GRTensor`Private`\[Phi]term2 = + GRTensor`Private`covterm2 - GRTensor`Private`g + GRTensor`Private`dalem; GRTensor`Private`res = If[ + Not[ + NumericQ[GRTensor`Private`pert]], + Normal[ + + Series[(1/(8 Pi)) ( + GRTensor`Private`\[Phi]term2 - ( + GRTensor`Private`V\[CurlyPhi]c/2) GRTensor`Private`g), { + GRTensor`Private`pert, 0, GRTensor`Private`perti}]], (1/(8 + Pi)) (GRTensor`Private`\[Phi]term2 - ( + GRTensor`Private`V\[CurlyPhi]c/2) GRTensor`Private`g)]; Null, + True, Print["Wrong option for Frame"]; Return[]; Null]; If[ + NumberQ[GRTensor`Private`pert], + Simplify[GRTensor`Private`res], + Simplify[ + Normal[ + Series[ + GRTensor`Private`res, { + GRTensor`Private`pert, 0, GRTensor`Private`perti}]]]]]}], + "SubValues" -> None, "DefaultValues" -> None, "NValues" -> None, + "FormatValues" -> None, + "Options" -> { + "Frame" -> "Einstein", "Verbose" -> False, "PerturbationIndex" -> 1, + "SimplifyFunction" -> Identity}, "Attributes" -> {}, "FullName" -> + "GRTensor`TeffST"], False]]], "Output", + CellChangeTimes->{3.8110673054418383`*^9}, + CellLabel->"Out[24]=",ExpressionUUID->"ab64cd6b-8d69-4fb9-91a1-2dfa63f2c831"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[Rho]\[Phi]", "[", "fR", "]"}], ":=", + RowBox[{ + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"f", "[", + RowBox[{"R", "[", "t", "]"}], "]"}], "-", + RowBox[{ + RowBox[{"R", "[", "t", "]"}], " ", + RowBox[{ + SuperscriptBox["f", "\[Prime]", + MultilineFunction->None], "[", + RowBox[{"R", "[", "t", "]"}], "]"}]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"H", "[", "t", "]"}], " ", + RowBox[{ + SuperscriptBox["R", "\[Prime]", + MultilineFunction->None], "[", "t", "]"}], " ", + RowBox[{ + SuperscriptBox["f", "\[Prime]\[Prime]", + MultilineFunction->None], "[", + RowBox[{"R", "[", "t", "]"}], "]"}]}], "+", + RowBox[{ + RowBox[{ + SuperscriptBox["f", "\[Prime]\[Prime]", + MultilineFunction->None], "[", + RowBox[{"R", "[", "t", "]"}], "]"}], " ", + RowBox[{ + SuperscriptBox["R", "\[Prime]\[Prime]", + MultilineFunction->None], "[", "t", "]"}]}], "+", + RowBox[{ + SuperscriptBox[ + RowBox[{ + SuperscriptBox["R", "\[Prime]", + MultilineFunction->None], "[", "t", "]"}], "2"], " ", + RowBox[{ + SuperscriptBox["f", + TagBox[ + RowBox[{"(", "3", ")"}], + Derivative], + MultilineFunction->None], "[", + RowBox[{"R", "[", "t", "]"}], "]"}]}]}]}]], "Input", + CellChangeTimes->{{3.811069719583234*^9, + 3.811069728556135*^9}},ExpressionUUID->"d58d6001-8331-4cab-a680-\ +af18d96e9495"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Simplify", "[", + RowBox[{"\[Omega]eff", "[", + RowBox[{"R", "+", " ", + RowBox[{"\[Alpha]", " ", + RowBox[{"R", "^", "2"}]}]}], "]"}], "]"}]], "Input", + CellChangeTimes->{{3.811070315668561*^9, 3.811070319932125*^9}, { + 3.811070358808926*^9, 3.811070388825588*^9}}, + CellLabel->"In[29]:=",ExpressionUUID->"1c21cc3c-0ae8-4902-abb7-3bb05b620109"], + +Cell[BoxData[ + FractionBox[ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + RowBox[{"R", "[", "t", "]"}], "2"]}], "+", + RowBox[{"8", " ", + RowBox[{"H", "[", "t", "]"}], " ", + RowBox[{ + SuperscriptBox["R", "\[Prime]", + MultilineFunction->None], "[", "t", "]"}]}], "+", + RowBox[{"4", " ", + RowBox[{ + SuperscriptBox["R", "\[Prime]\[Prime]", + MultilineFunction->None], "[", "t", "]"}]}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"R", "[", "t", "]"}], "2"], "-", + RowBox[{"12", " ", + RowBox[{"H", "[", "t", "]"}], " ", + RowBox[{ + SuperscriptBox["R", "\[Prime]", + MultilineFunction->None], "[", "t", "]"}]}]}]]], "Output", + CellChangeTimes->{ + 3.811070324140036*^9, {3.811070361169527*^9, 3.811070389410516*^9}}, + CellLabel->"Out[29]=",ExpressionUUID->"1af637c4-2c48-491e-ad7a-7787e5e0535f"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[Rho]eff", "[", + RowBox[{"V_", ",", "\[Phi]_"}], "]"}], ":=", + RowBox[{"V", "/", + RowBox[{"(", + RowBox[{"2", "\[Phi]"}], ")"}]}]}]], "Input", + CellChangeTimes->{{3.811070713074745*^9, 3.811070748479187*^9}}, + CellLabel->"In[30]:=",ExpressionUUID->"8c9d48ce-a79f-4f43-a2ea-69a09be51fc2"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"peff", "[", + RowBox[{"V_", ",", "\[Phi]_"}], "]"}], ":=", + RowBox[{ + RowBox[{"-", "V"}], "/", + RowBox[{"(", + RowBox[{"2", "\[Phi]"}], ")"}]}]}]], "Input", + CellChangeTimes->{{3.811070753990304*^9, 3.811070756021792*^9}}, + CellLabel->"In[31]:=",ExpressionUUID->"e9d894e0-37a5-4cd8-bd7d-ac7d214c48fc"], + +Cell[CellGroupData[{ + Cell["Quadratic f(R) ", "Subsubsection", CellChangeTimes->{{3.81061122481415*^9, 3.810611242275285*^9}, { 3.810616254382361*^9, @@ -32412,7 +33261,7 @@ HcPTHQjC4YHyxSCff7xwI295jdf9eU6XEztbdmP9X+cNvzb8+h+//gB1XEJY }, Closed]] }, WindowSize->{808, 934}, -WindowMargins->{{Automatic, 152}, {Automatic, 0}}, +WindowMargins->{{Automatic, 133}, {-64, Automatic}}, FrontEndVersion->"12.0 for Mac OS X x86 (64-bit) (April 8, 2019)", StyleDefinitions->"Default.nb" ] @@ -32440,632 +33289,650 @@ Cell[CellGroupData[{ Cell[2242, 68, 258, 4, 38, "Subsection",ExpressionUUID->"b4cafe99-5c10-49df-bec1-70b77254830c"], Cell[CellGroupData[{ Cell[2525, 76, 749, 13, 110, "Code",ExpressionUUID->"28d9c623-2f35-4b48-afc0-bf102c8402c2"], -Cell[3277, 91, 4530, 68, 39, "Message",ExpressionUUID->"5123cd78-85dc-49c2-b745-cf67c0c82684"], -Cell[7810, 161, 4357, 66, 42, "Message",ExpressionUUID->"cd17808d-b4c5-46be-b318-13679956f566"], -Cell[12170, 229, 4534, 69, 39, "Message",ExpressionUUID->"8e824c2b-74b2-484d-b1d1-bd7ac82d75ae"], -Cell[16707, 300, 4576, 70, 39, "Message",ExpressionUUID->"d3d10c1e-ff59-4867-ac22-8d9162d430e9"], -Cell[21286, 372, 4214, 65, 24, "Message",ExpressionUUID->"fedee552-2b24-444a-bd22-972352b4bb8b"], -Cell[25503, 439, 4249, 64, 24, "Message",ExpressionUUID->"ad3ff183-14de-4a38-9dd4-b0d2e83f9da6"] +Cell[3277, 91, 4552, 68, 42, "Message",ExpressionUUID->"68d9f255-ff04-4a32-91ae-82a6e0e2413d"], +Cell[7832, 161, 4377, 66, 42, "Message",ExpressionUUID->"add0d131-4a59-40a5-8592-2170878f27fb"], +Cell[12212, 229, 4554, 69, 42, "Message",ExpressionUUID->"1eb31a94-f96e-47e0-acfb-5358cd6216a2"], +Cell[16769, 300, 4598, 70, 42, "Message",ExpressionUUID->"184722dc-276b-4ba7-9b50-4d07d823a120"], +Cell[21370, 372, 4236, 65, 24, "Message",ExpressionUUID->"a552afad-af1c-4db9-82c4-a1952d7d3401"], +Cell[25609, 439, 4273, 64, 24, "Message",ExpressionUUID->"e91c7c9b-69d3-472e-9b6e-2dc2d047bef5"] }, Open ]], Cell[CellGroupData[{ -Cell[29789, 508, 424, 7, 52, "Code",ExpressionUUID->"2038f51c-ef1d-478a-a6d8-12f5b4a73949"], -Cell[30216, 517, 30952, 768, 34, "Output",ExpressionUUID->"2317a09c-3622-4c21-8a0a-70f917f89a3a"] +Cell[29919, 508, 424, 7, 52, "Code",ExpressionUUID->"2038f51c-ef1d-478a-a6d8-12f5b4a73949"], +Cell[30346, 517, 30974, 768, 34, "Output",ExpressionUUID->"e26c41ae-7e0e-4584-88ec-cd13b9720548"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[61217, 1291, 172, 3, 54, "Subsection",ExpressionUUID->"35de4bd5-32a5-45fa-b33c-c1c4fc79cc04"], -Cell[61392, 1296, 1335, 38, 167, "Code",ExpressionUUID->"a948f404-6fd9-4fe5-a838-380ebe7da944"] +Cell[61369, 1291, 172, 3, 54, "Subsection",ExpressionUUID->"35de4bd5-32a5-45fa-b33c-c1c4fc79cc04"], +Cell[61544, 1296, 1335, 38, 167, "Code",ExpressionUUID->"a948f404-6fd9-4fe5-a838-380ebe7da944"] }, Closed]], Cell[CellGroupData[{ -Cell[62764, 1339, 190, 3, 38, "Subsection",ExpressionUUID->"50fb9a2d-d04b-4421-9e43-ccbb4c1c0bd3"], +Cell[62916, 1339, 190, 3, 38, "Subsection",ExpressionUUID->"50fb9a2d-d04b-4421-9e43-ccbb4c1c0bd3"], Cell[CellGroupData[{ -Cell[62979, 1346, 5296, 136, 224, "Code",ExpressionUUID->"1ad43db6-9498-4d09-bd75-e999ffd7c57c"], -Cell[68278, 1484, 2591, 41, 24, "Print",ExpressionUUID->"9057feea-4706-40d0-9cef-df065807a7c0"] +Cell[63131, 1346, 5296, 136, 224, "Code",ExpressionUUID->"1ad43db6-9498-4d09-bd75-e999ffd7c57c"], +Cell[68430, 1484, 2619, 42, 24, "Print",ExpressionUUID->"166cf5f0-9c5c-4c17-b2d4-7866a55a4b93"], +Cell[71052, 1528, 155, 2, 34, "Output",ExpressionUUID->"6df96f88-393f-4af2-a838-71e1cbd53d74"], +Cell[71210, 1532, 400, 10, 24, "Message",ExpressionUUID->"1f605056-e91a-4d2b-aa8a-e169421bb52d"], +Cell[71613, 1544, 400, 10, 24, "Message",ExpressionUUID->"688b8ccd-d8f0-41df-8a8e-589ed4e7213d"] }, Open ]], Cell[CellGroupData[{ -Cell[70906, 1530, 5223, 134, 205, "Code",ExpressionUUID->"0fd01fca-9e4d-45c8-aa33-cd917ee1a17c"], -Cell[76132, 1666, 1306, 27, 24, "Print",ExpressionUUID->"ad7d1aa4-4049-456e-957e-3265c14b5c5c"] +Cell[72050, 1559, 5223, 134, 205, "Code",ExpressionUUID->"0fd01fca-9e4d-45c8-aa33-cd917ee1a17c"], +Cell[77276, 1695, 1306, 27, 24, "Print",ExpressionUUID->"ad7d1aa4-4049-456e-957e-3265c14b5c5c"] }, Open ]], Cell[CellGroupData[{ -Cell[77475, 1698, 5776, 139, 224, "Code",ExpressionUUID->"77ab1cfc-93f2-4366-a35a-f2f21c62690e"], -Cell[83254, 1839, 1056, 20, 24, "Print",ExpressionUUID->"411f6655-537d-419e-b165-6a52f7f04810"] +Cell[78619, 1727, 5776, 139, 224, "Code",ExpressionUUID->"77ab1cfc-93f2-4366-a35a-f2f21c62690e"], +Cell[84398, 1868, 1056, 20, 24, "Print",ExpressionUUID->"411f6655-537d-419e-b165-6a52f7f04810"] }, Open ]], Cell[CellGroupData[{ -Cell[84347, 1864, 5971, 142, 224, "Code",ExpressionUUID->"f7117468-dbb9-4616-a069-36663920d67a"], -Cell[90321, 2008, 1218, 22, 24, "Print",ExpressionUUID->"1ab1044d-3f24-4c90-9546-5cad4739f8bf"] +Cell[85491, 1893, 5971, 142, 224, "Code",ExpressionUUID->"f7117468-dbb9-4616-a069-36663920d67a"], +Cell[91465, 2037, 1218, 22, 24, "Print",ExpressionUUID->"1ab1044d-3f24-4c90-9546-5cad4739f8bf"] }, Open ]], Cell[CellGroupData[{ -Cell[91576, 2035, 6420, 153, 224, "Code",ExpressionUUID->"dc83ef56-f120-4495-9245-8a021c3a3982"], -Cell[97999, 2190, 1066, 20, 24, "Print",ExpressionUUID->"ca07cbb7-90bf-4059-8dae-296f898fd053"] +Cell[92720, 2064, 6420, 153, 224, "Code",ExpressionUUID->"dc83ef56-f120-4495-9245-8a021c3a3982"], +Cell[99143, 2219, 1066, 20, 24, "Print",ExpressionUUID->"ca07cbb7-90bf-4059-8dae-296f898fd053"] }, Open ]] }, Closed]], Cell[CellGroupData[{ -Cell[99114, 2216, 161, 3, 38, "Subsection",ExpressionUUID->"5d30e1c1-8625-4a00-be98-1c819cd86f4c"], -Cell[99278, 2221, 686, 13, 52, "Input",ExpressionUUID->"b5d331c0-4beb-4074-96a9-fbaf549e0231"], -Cell[99967, 2236, 7642, 205, 126, "Code",ExpressionUUID->"cfc40657-89f8-4127-89c9-d0b86703f68c"], -Cell[107612, 2443, 6160, 159, 74, "Code",ExpressionUUID->"2da6bdd4-9a3e-491c-8ac0-864bd1df73dc"], -Cell[113775, 2604, 7182, 180, 74, "Code",ExpressionUUID->"e677e2a6-f3af-4ae7-a350-40d556f009cb"], -Cell[120960, 2786, 8371, 217, 126, "Code",ExpressionUUID->"cab98d8f-8fbd-48d0-b448-9471155c97cb"], -Cell[129334, 3005, 7744, 194, 87, "Code",ExpressionUUID->"0267a229-a6d0-4957-983c-48ec871caa20"], -Cell[137081, 3201, 7742, 194, 87, "Code",ExpressionUUID->"757b9d70-4a08-4bc0-a1be-a30efbfd8eb8"], -Cell[144826, 3397, 4794, 125, 87, "Code",ExpressionUUID->"970dfa80-5cdd-4f81-91fc-d1a3907c1372"] +Cell[100258, 2245, 161, 3, 38, "Subsection",ExpressionUUID->"5d30e1c1-8625-4a00-be98-1c819cd86f4c"], +Cell[100422, 2250, 686, 13, 52, "Input",ExpressionUUID->"b5d331c0-4beb-4074-96a9-fbaf549e0231"], +Cell[101111, 2265, 7642, 205, 126, "Code",ExpressionUUID->"cfc40657-89f8-4127-89c9-d0b86703f68c"], +Cell[108756, 2472, 6160, 159, 74, "Code",ExpressionUUID->"2da6bdd4-9a3e-491c-8ac0-864bd1df73dc"], +Cell[114919, 2633, 7182, 180, 74, "Code",ExpressionUUID->"e677e2a6-f3af-4ae7-a350-40d556f009cb"], +Cell[122104, 2815, 8371, 217, 126, "Code",ExpressionUUID->"cab98d8f-8fbd-48d0-b448-9471155c97cb"], +Cell[130478, 3034, 7744, 194, 87, "Code",ExpressionUUID->"0267a229-a6d0-4957-983c-48ec871caa20"], +Cell[138225, 3230, 7742, 194, 87, "Code",ExpressionUUID->"757b9d70-4a08-4bc0-a1be-a30efbfd8eb8"], +Cell[145970, 3426, 4794, 125, 87, "Code",ExpressionUUID->"970dfa80-5cdd-4f81-91fc-d1a3907c1372"] }, Closed]], Cell[CellGroupData[{ -Cell[149657, 3527, 159, 3, 38, "Subsection",ExpressionUUID->"a3dc796b-7d10-4de5-a008-e0220a368313"], -Cell[149819, 3532, 3621, 117, 224, "Code",ExpressionUUID->"a8c0d528-cd9a-4968-a954-ae2d9a72ec09"] +Cell[150801, 3556, 159, 3, 38, "Subsection",ExpressionUUID->"a3dc796b-7d10-4de5-a008-e0220a368313"], +Cell[150963, 3561, 3621, 117, 224, "Code",ExpressionUUID->"a8c0d528-cd9a-4968-a954-ae2d9a72ec09"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[153489, 3655, 166, 3, 67, "Section",ExpressionUUID->"9eecc1cb-62c7-4c60-a687-796702366240"], -Cell[153658, 3660, 265, 6, 30, "Input",ExpressionUUID->"054ed3d3-4cee-4a8f-a419-de9234afb577"], +Cell[154633, 3684, 166, 3, 67, "Section",ExpressionUUID->"9eecc1cb-62c7-4c60-a687-796702366240"], +Cell[154802, 3689, 265, 6, 30, "Input",ExpressionUUID->"054ed3d3-4cee-4a8f-a419-de9234afb577"], +Cell[CellGroupData[{ +Cell[155092, 3699, 214, 3, 30, "Input",ExpressionUUID->"32f6d64c-e909-45a5-8f1a-acbc030c68bd"], +Cell[155309, 3704, 400, 9, 34, "Output",ExpressionUUID->"a7e3b4e2-143c-42e0-8944-9dc361510326"] +}, Open ]], +Cell[155724, 3716, 398, 7, 30, "Input",ExpressionUUID->"014e3743-2d5d-4376-89bf-74dd56984ba6"], +Cell[CellGroupData[{ +Cell[156147, 3727, 236, 4, 30, "Input",ExpressionUUID->"fb503785-4c45-4b99-a6d1-f7f27e39e6f5"], +Cell[156386, 3733, 2319, 70, 66, "Output",ExpressionUUID->"45a31f9c-ac79-47fe-a178-9e9353b6b71b"] +}, Open ]], +Cell[158720, 3806, 263, 5, 30, "Input",ExpressionUUID->"a266facf-f5ab-470f-baf9-44fe6be3e9ff"], +Cell[CellGroupData[{ +Cell[159008, 3815, 208, 3, 30, "Input",ExpressionUUID->"b3e12e80-cb25-4684-9c90-7bcff689fac9"], +Cell[159219, 3820, 265, 4, 34, "Output",ExpressionUUID->"2671185a-a1e0-4f73-880b-3347a47ce084"] +}, Open ]], Cell[CellGroupData[{ -Cell[153948, 3670, 214, 3, 30, "Input",ExpressionUUID->"32f6d64c-e909-45a5-8f1a-acbc030c68bd"], -Cell[154165, 3675, 400, 9, 34, "Output",ExpressionUUID->"a7e3b4e2-143c-42e0-8944-9dc361510326"] +Cell[159521, 3829, 220, 3, 30, "Input",ExpressionUUID->"ef02aa87-a03d-4556-adde-f92d7dca4182"], +Cell[159744, 3834, 1876, 30, 203, "Output",ExpressionUUID->"b4ddf2ec-6685-4317-8274-db3ddfd99839"] }, Open ]], -Cell[154580, 3687, 398, 7, 30, "Input",ExpressionUUID->"014e3743-2d5d-4376-89bf-74dd56984ba6"], Cell[CellGroupData[{ -Cell[155003, 3698, 236, 4, 30, "Input",ExpressionUUID->"fb503785-4c45-4b99-a6d1-f7f27e39e6f5"], -Cell[155242, 3704, 2319, 70, 66, "Output",ExpressionUUID->"45a31f9c-ac79-47fe-a178-9e9353b6b71b"] +Cell[161657, 3869, 170, 3, 30, "Input",ExpressionUUID->"4685bf30-e8af-4b49-899a-1f5ef62d7018"], +Cell[161830, 3874, 30587, 660, 119, "Output",ExpressionUUID->"ab64cd6b-8d69-4fb9-91a1-2dfa63f2c831"] }, Open ]], -Cell[157576, 3777, 263, 5, 30, "Input",ExpressionUUID->"a266facf-f5ab-470f-baf9-44fe6be3e9ff"], +Cell[192432, 4537, 1513, 47, 47, "Input",ExpressionUUID->"d58d6001-8331-4cab-a680-af18d96e9495"], Cell[CellGroupData[{ -Cell[157864, 3786, 208, 3, 30, "Input",ExpressionUUID->"b3e12e80-cb25-4684-9c90-7bcff689fac9"], -Cell[158075, 3791, 265, 4, 34, "Output",ExpressionUUID->"2671185a-a1e0-4f73-880b-3347a47ce084"] +Cell[193970, 4588, 380, 8, 30, "Input",ExpressionUUID->"1c21cc3c-0ae8-4902-abb7-3bb05b620109"], +Cell[194353, 4598, 851, 25, 57, "Output",ExpressionUUID->"1af637c4-2c48-491e-ad7a-7787e5e0535f"] }, Open ]], +Cell[195219, 4626, 334, 8, 30, "Input",ExpressionUUID->"8c9d48ce-a79f-4f43-a2ea-69a09be51fc2"], +Cell[195556, 4636, 348, 9, 30, "Input",ExpressionUUID->"e9d894e0-37a5-4cd8-bd7d-ac7d214c48fc"], Cell[CellGroupData[{ -Cell[158377, 3800, 215, 4, 45, "Subsubsection",ExpressionUUID->"7a7ef893-7cd8-4d31-a9e4-4c3dc217afac"], +Cell[195929, 4649, 215, 4, 45, "Subsubsection",ExpressionUUID->"7a7ef893-7cd8-4d31-a9e4-4c3dc217afac"], Cell[CellGroupData[{ -Cell[158617, 3808, 282, 6, 30, "Input",ExpressionUUID->"a3b32e57-7414-4468-a779-5478eb93d91c"], -Cell[158902, 3816, 226, 5, 34, "Output",ExpressionUUID->"87c80156-6244-4a55-8ddb-6be2c829974d"] +Cell[196169, 4657, 282, 6, 30, "Input",ExpressionUUID->"a3b32e57-7414-4468-a779-5478eb93d91c"], +Cell[196454, 4665, 226, 5, 34, "Output",ExpressionUUID->"87c80156-6244-4a55-8ddb-6be2c829974d"] }, Open ]], Cell[CellGroupData[{ -Cell[159165, 3826, 241, 4, 30, "Input",ExpressionUUID->"7a63475a-8f21-4903-83cc-97cd64b53cbe"], -Cell[159409, 3832, 1689, 49, 66, "Output",ExpressionUUID->"11a36c3a-959d-44ac-9d95-b0e0879c2a7d"] +Cell[196717, 4675, 241, 4, 30, "Input",ExpressionUUID->"7a63475a-8f21-4903-83cc-97cd64b53cbe"], +Cell[196961, 4681, 1689, 49, 66, "Output",ExpressionUUID->"11a36c3a-959d-44ac-9d95-b0e0879c2a7d"] }, Open ]], -Cell[161113, 3884, 294, 7, 30, "Input",ExpressionUUID->"275480b2-c251-4dae-9929-0c315c634277"], +Cell[198665, 4733, 294, 7, 30, "Input",ExpressionUUID->"275480b2-c251-4dae-9929-0c315c634277"], Cell[CellGroupData[{ -Cell[161432, 3895, 399, 8, 30, "Input",ExpressionUUID->"cc072710-ac96-4586-9700-65dd43d14074"], -Cell[161834, 3905, 926, 26, 57, "Output",ExpressionUUID->"88c25a06-60cb-4f5d-bd8e-59abd753bfda"] +Cell[198984, 4744, 399, 8, 30, "Input",ExpressionUUID->"cc072710-ac96-4586-9700-65dd43d14074"], +Cell[199386, 4754, 926, 26, 57, "Output",ExpressionUUID->"88c25a06-60cb-4f5d-bd8e-59abd753bfda"] }, Open ]], -Cell[162775, 3934, 352, 9, 30, "Input",ExpressionUUID->"ee22d148-4064-4786-a241-a2ae611d1bde"], +Cell[200327, 4783, 352, 9, 30, "Input",ExpressionUUID->"ee22d148-4064-4786-a241-a2ae611d1bde"], Cell[CellGroupData[{ -Cell[163152, 3947, 375, 7, 30, "Input",ExpressionUUID->"eab51005-5a99-4bfa-8ddb-79146e1fa57d"], -Cell[163530, 3956, 926, 26, 57, "Output",ExpressionUUID->"f16fd66b-5963-4dca-833e-b1418b613788"] +Cell[200704, 4796, 375, 7, 30, "Input",ExpressionUUID->"eab51005-5a99-4bfa-8ddb-79146e1fa57d"], +Cell[201082, 4805, 926, 26, 57, "Output",ExpressionUUID->"f16fd66b-5963-4dca-833e-b1418b613788"] }, Open ]], -Cell[164471, 3985, 358, 7, 30, "Input",ExpressionUUID->"93592bb8-9de7-48d0-8886-d0a28e2cbc14"], +Cell[202023, 4834, 358, 7, 30, "Input",ExpressionUUID->"93592bb8-9de7-48d0-8886-d0a28e2cbc14"], Cell[CellGroupData[{ -Cell[164854, 3996, 458, 9, 30, "Input",ExpressionUUID->"b043196e-0868-40bd-85e4-901d75c597d1"], -Cell[165315, 4007, 2256, 48, 55, "Output",ExpressionUUID->"31bb22c9-5586-4744-9242-b2f2149a861c"] +Cell[202406, 4845, 458, 9, 30, "Input",ExpressionUUID->"b043196e-0868-40bd-85e4-901d75c597d1"], +Cell[202867, 4856, 2256, 48, 55, "Output",ExpressionUUID->"31bb22c9-5586-4744-9242-b2f2149a861c"] }, Open ]], -Cell[167586, 4058, 438, 10, 30, "Input",ExpressionUUID->"f3d6e48d-8b12-4c5a-b2ce-a686080fe3fc"], +Cell[205138, 4907, 438, 10, 30, "Input",ExpressionUUID->"f3d6e48d-8b12-4c5a-b2ce-a686080fe3fc"], Cell[CellGroupData[{ -Cell[168049, 4072, 502, 9, 30, "Input",ExpressionUUID->"6726880b-eb81-48b2-ac67-618301f47da4"], -Cell[168554, 4083, 3301, 83, 76, "Output",ExpressionUUID->"b09861f2-5025-48ce-a36d-f4503eb7f011"] +Cell[205601, 4921, 502, 9, 30, "Input",ExpressionUUID->"6726880b-eb81-48b2-ac67-618301f47da4"], +Cell[206106, 4932, 3301, 83, 76, "Output",ExpressionUUID->"b09861f2-5025-48ce-a36d-f4503eb7f011"] }, Open ]] }, Closed]], Cell[CellGroupData[{ -Cell[171904, 4172, 261, 4, 37, "Subsubsection",ExpressionUUID->"f2c9296b-a49e-49ed-9e12-d21fd0e808c7"], +Cell[209456, 5021, 261, 4, 37, "Subsubsection",ExpressionUUID->"f2c9296b-a49e-49ed-9e12-d21fd0e808c7"], Cell[CellGroupData[{ -Cell[172190, 4180, 347, 8, 30, "Input",ExpressionUUID->"18340ed5-0ea4-45d9-8c80-6aaf47949b49"], -Cell[172540, 4190, 312, 7, 34, "Output",ExpressionUUID->"c7de3b5a-503b-452c-a5a9-ac897f5fbc9f"] +Cell[209742, 5029, 347, 8, 30, "Input",ExpressionUUID->"18340ed5-0ea4-45d9-8c80-6aaf47949b49"], +Cell[210092, 5039, 312, 7, 34, "Output",ExpressionUUID->"c7de3b5a-503b-452c-a5a9-ac897f5fbc9f"] }, Open ]], Cell[CellGroupData[{ -Cell[172889, 4202, 241, 4, 30, "Input",ExpressionUUID->"387570ae-e55c-4aff-bdf2-09a4fdcd34a3"], -Cell[173133, 4208, 2924, 83, 123, "Output",ExpressionUUID->"298b7036-7866-455e-ba13-d969730acda7"] +Cell[210441, 5051, 241, 4, 30, "Input",ExpressionUUID->"387570ae-e55c-4aff-bdf2-09a4fdcd34a3"], +Cell[210685, 5057, 2924, 83, 123, "Output",ExpressionUUID->"298b7036-7866-455e-ba13-d969730acda7"] }, Open ]], -Cell[176072, 4294, 360, 7, 30, "Input",ExpressionUUID->"888a2876-3898-4840-b645-ff96f9cf4b79"], +Cell[213624, 5143, 360, 7, 30, "Input",ExpressionUUID->"888a2876-3898-4840-b645-ff96f9cf4b79"], Cell[CellGroupData[{ -Cell[176457, 4305, 399, 8, 30, "Input",ExpressionUUID->"b0b32299-3222-420a-bea7-06a954d0bb2e"], -Cell[176859, 4315, 2200, 60, 59, "Output",ExpressionUUID->"01c6ea79-11fb-4f35-93fd-eb1f5efa62ad"] +Cell[214009, 5154, 399, 8, 30, "Input",ExpressionUUID->"b0b32299-3222-420a-bea7-06a954d0bb2e"], +Cell[214411, 5164, 2200, 60, 59, "Output",ExpressionUUID->"01c6ea79-11fb-4f35-93fd-eb1f5efa62ad"] }, Open ]], -Cell[179074, 4378, 420, 9, 30, "Input",ExpressionUUID->"96e035f9-4084-4ae9-a51c-b0903a003dbe"], +Cell[216626, 5227, 420, 9, 30, "Input",ExpressionUUID->"96e035f9-4084-4ae9-a51c-b0903a003dbe"], Cell[CellGroupData[{ -Cell[179519, 4391, 375, 7, 30, "Input",ExpressionUUID->"bf863b9c-9f27-4e75-b47c-21a839ac2f9f"], -Cell[179897, 4400, 1955, 54, 57, "Output",ExpressionUUID->"c8073162-6dc6-4672-b503-b6c24b0aa13d"] +Cell[217071, 5240, 375, 7, 30, "Input",ExpressionUUID->"bf863b9c-9f27-4e75-b47c-21a839ac2f9f"], +Cell[217449, 5249, 1955, 54, 57, "Output",ExpressionUUID->"c8073162-6dc6-4672-b503-b6c24b0aa13d"] }, Open ]], -Cell[181867, 4457, 400, 8, 30, "Input",ExpressionUUID->"6f218393-8390-4838-ae78-1cd5a0534121"], +Cell[219419, 5306, 400, 8, 30, "Input",ExpressionUUID->"6f218393-8390-4838-ae78-1cd5a0534121"], Cell[CellGroupData[{ -Cell[182292, 4469, 458, 9, 30, "Input",ExpressionUUID->"2f044983-fd9e-4c6c-af06-91a4017c0aa8"], -Cell[182753, 4480, 4118, 96, 123, "Output",ExpressionUUID->"698b18ff-12d5-43e7-ae9b-9d8848e8fccb"] +Cell[219844, 5318, 458, 9, 30, "Input",ExpressionUUID->"2f044983-fd9e-4c6c-af06-91a4017c0aa8"], +Cell[220305, 5329, 4118, 96, 123, "Output",ExpressionUUID->"698b18ff-12d5-43e7-ae9b-9d8848e8fccb"] }, Open ]], -Cell[186886, 4579, 501, 10, 30, "Input",ExpressionUUID->"ef5818f1-c8d3-4920-926c-ae3b483e0051"], +Cell[224438, 5428, 501, 10, 30, "Input",ExpressionUUID->"ef5818f1-c8d3-4920-926c-ae3b483e0051"], Cell[CellGroupData[{ -Cell[187412, 4593, 502, 9, 30, "Input",ExpressionUUID->"3166fc24-fba3-4153-be8a-5b837a614f5f"], -Cell[187917, 4604, 10999, 290, 780, "Output",ExpressionUUID->"75f47814-9611-408f-bb5c-8b1a3a8300cd"] +Cell[224964, 5442, 502, 9, 30, "Input",ExpressionUUID->"3166fc24-fba3-4153-be8a-5b837a614f5f"], +Cell[225469, 5453, 10999, 290, 780, "Output",ExpressionUUID->"75f47814-9611-408f-bb5c-8b1a3a8300cd"] }, Open ]] }, Closed]], Cell[CellGroupData[{ -Cell[198965, 4900, 314, 5, 37, "Subsubsection",ExpressionUUID->"f1678082-c089-4c33-a483-db95339820a7"], +Cell[236517, 5749, 314, 5, 37, "Subsubsection",ExpressionUUID->"f1678082-c089-4c33-a483-db95339820a7"], Cell[CellGroupData[{ -Cell[199304, 4909, 462, 11, 30, "Input",ExpressionUUID->"5f8b37b8-9c00-46fa-8ee5-227cbc0694a7"], -Cell[199769, 4922, 402, 10, 34, "Output",ExpressionUUID->"ff22021b-f056-4f5a-9d09-abec376efd6e"] +Cell[236856, 5758, 462, 11, 30, "Input",ExpressionUUID->"5f8b37b8-9c00-46fa-8ee5-227cbc0694a7"], +Cell[237321, 5771, 402, 10, 34, "Output",ExpressionUUID->"ff22021b-f056-4f5a-9d09-abec376efd6e"] }, Open ]], Cell[CellGroupData[{ -Cell[200208, 4937, 241, 4, 30, "Input",ExpressionUUID->"a9d56d88-1563-49fd-ac32-77c20ddd760f"], -Cell[200452, 4943, 3940, 110, 182, "Output",ExpressionUUID->"6ae38b34-3906-4aa9-a9b4-2503262129bc"] +Cell[237760, 5786, 241, 4, 30, "Input",ExpressionUUID->"a9d56d88-1563-49fd-ac32-77c20ddd760f"], +Cell[238004, 5792, 3940, 110, 182, "Output",ExpressionUUID->"6ae38b34-3906-4aa9-a9b4-2503262129bc"] }, Open ]], -Cell[204407, 5056, 389, 8, 30, "Input",ExpressionUUID->"090a7620-65c3-4aee-924c-449f6ecedabb"], +Cell[241959, 5905, 389, 8, 30, "Input",ExpressionUUID->"090a7620-65c3-4aee-924c-449f6ecedabb"], Cell[CellGroupData[{ -Cell[204821, 5068, 399, 8, 30, "Input",ExpressionUUID->"8b7cdaea-4bd1-4392-97ce-24ba1559b850"], -Cell[205223, 5078, 3482, 95, 83, "Output",ExpressionUUID->"2ca79107-d3e6-4d93-b13c-90abb2ae08a4"] +Cell[242373, 5917, 399, 8, 30, "Input",ExpressionUUID->"8b7cdaea-4bd1-4392-97ce-24ba1559b850"], +Cell[242775, 5927, 3482, 95, 83, "Output",ExpressionUUID->"2ca79107-d3e6-4d93-b13c-90abb2ae08a4"] }, Open ]], -Cell[208720, 5176, 428, 10, 30, "Input",ExpressionUUID->"71e1ce78-aaba-4c7c-9ab3-2a709bb2e1f7"], +Cell[246272, 6025, 428, 10, 30, "Input",ExpressionUUID->"71e1ce78-aaba-4c7c-9ab3-2a709bb2e1f7"], Cell[CellGroupData[{ -Cell[209173, 5190, 375, 7, 30, "Input",ExpressionUUID->"8343df2a-5ed1-4c02-9e23-525697dc41a5"], -Cell[209551, 5199, 3356, 92, 83, "Output",ExpressionUUID->"a1f8b6ab-299f-4326-9f15-c1446ef2d5d4"] +Cell[246725, 6039, 375, 7, 30, "Input",ExpressionUUID->"8343df2a-5ed1-4c02-9e23-525697dc41a5"], +Cell[247103, 6048, 3356, 92, 83, "Output",ExpressionUUID->"a1f8b6ab-299f-4326-9f15-c1446ef2d5d4"] }, Open ]], -Cell[212922, 5294, 509, 11, 30, "Input",ExpressionUUID->"6c13bd72-7695-424a-bbb9-9dd7edfe014e"], +Cell[250474, 6143, 509, 11, 30, "Input",ExpressionUUID->"6c13bd72-7695-424a-bbb9-9dd7edfe014e"], Cell[CellGroupData[{ -Cell[213456, 5309, 502, 9, 30, "Input",ExpressionUUID->"e3f0e022-1f80-4ed5-a6c3-ae9bcec8667f"], -Cell[213961, 5320, 144409, 3521, 8054, "Output",ExpressionUUID->"2b728d24-68a9-4d00-8be6-7fa0e26b9f29"] +Cell[251008, 6158, 502, 9, 30, "Input",ExpressionUUID->"e3f0e022-1f80-4ed5-a6c3-ae9bcec8667f"], +Cell[251513, 6169, 144409, 3521, 8054, "Output",ExpressionUUID->"2b728d24-68a9-4d00-8be6-7fa0e26b9f29"] }, Closed]] }, Closed]], Cell[CellGroupData[{ -Cell[358419, 8847, 392, 6, 37, "Subsubsection",ExpressionUUID->"f2cfa260-a398-47cf-befd-874b10a074aa"], +Cell[395971, 9696, 392, 6, 37, "Subsubsection",ExpressionUUID->"f2cfa260-a398-47cf-befd-874b10a074aa"], Cell[CellGroupData[{ -Cell[358836, 8857, 446, 10, 30, "Input",ExpressionUUID->"459dc0da-dc4c-4134-a537-156517c7721b"], -Cell[359285, 8869, 362, 8, 34, "Output",ExpressionUUID->"bf973f16-9747-4827-950d-8cc2d3004bf8"] +Cell[396388, 9706, 446, 10, 30, "Input",ExpressionUUID->"459dc0da-dc4c-4134-a537-156517c7721b"], +Cell[396837, 9718, 362, 8, 34, "Output",ExpressionUUID->"bf973f16-9747-4827-950d-8cc2d3004bf8"] }, Open ]], Cell[CellGroupData[{ -Cell[359684, 8882, 241, 4, 30, "Input",ExpressionUUID->"b54bb386-fbc8-458c-aba9-9193c1081979"], -Cell[359928, 8888, 3116, 88, 123, "Output",ExpressionUUID->"ed39cd19-62ae-4b23-a6d0-e704f22b27a6"] +Cell[397236, 9731, 241, 4, 30, "Input",ExpressionUUID->"b54bb386-fbc8-458c-aba9-9193c1081979"], +Cell[397480, 9737, 3116, 88, 123, "Output",ExpressionUUID->"ed39cd19-62ae-4b23-a6d0-e704f22b27a6"] }, Open ]], -Cell[363059, 8979, 411, 8, 30, "Input",ExpressionUUID->"986cb64b-50df-432a-82b1-7bec4e80ceaf"], +Cell[400611, 9828, 411, 8, 30, "Input",ExpressionUUID->"986cb64b-50df-432a-82b1-7bec4e80ceaf"], Cell[CellGroupData[{ -Cell[363495, 8991, 399, 8, 30, "Input",ExpressionUUID->"386e1292-91c9-4b11-bf70-ce5c544eaf00"], -Cell[363897, 9001, 2268, 62, 57, "Output",ExpressionUUID->"f7dbbaf8-8e17-40de-94a8-9558fed830f5"] +Cell[401047, 9840, 399, 8, 30, "Input",ExpressionUUID->"386e1292-91c9-4b11-bf70-ce5c544eaf00"], +Cell[401449, 9850, 2268, 62, 57, "Output",ExpressionUUID->"f7dbbaf8-8e17-40de-94a8-9558fed830f5"] }, Open ]], -Cell[366180, 9066, 428, 10, 30, "Input",ExpressionUUID->"f5b579cf-24ea-4964-b55c-94bb52974af6"], +Cell[403732, 9915, 428, 10, 30, "Input",ExpressionUUID->"f5b579cf-24ea-4964-b55c-94bb52974af6"], Cell[CellGroupData[{ -Cell[366633, 9080, 375, 7, 30, "Input",ExpressionUUID->"c72fd6f2-d90d-4fd7-94cf-e9c00605986a"], -Cell[367011, 9089, 2286, 65, 60, "Output",ExpressionUUID->"45440d09-4cee-4346-8f6e-b9d171fb8605"] +Cell[404185, 9929, 375, 7, 30, "Input",ExpressionUUID->"c72fd6f2-d90d-4fd7-94cf-e9c00605986a"], +Cell[404563, 9938, 2286, 65, 60, "Output",ExpressionUUID->"45440d09-4cee-4346-8f6e-b9d171fb8605"] }, Open ]], -Cell[369312, 9157, 509, 11, 30, "Input",ExpressionUUID->"9688a322-d771-4c80-89e7-c478115b9304"], +Cell[406864, 10006, 509, 11, 30, "Input",ExpressionUUID->"9688a322-d771-4c80-89e7-c478115b9304"], Cell[CellGroupData[{ -Cell[369846, 9172, 502, 9, 30, "Input",ExpressionUUID->"295a76c5-604a-4f61-a72b-52de6d59d331"], -Cell[370351, 9183, 68613, 1717, 5314, "Output",ExpressionUUID->"1286ba27-aaf7-43b7-a8a5-e8ed8063374e"] +Cell[407398, 10021, 502, 9, 30, "Input",ExpressionUUID->"295a76c5-604a-4f61-a72b-52de6d59d331"], +Cell[407903, 10032, 68613, 1717, 5314, "Output",ExpressionUUID->"1286ba27-aaf7-43b7-a8a5-e8ed8063374e"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[439025, 10907, 166, 3, 67, "Section",ExpressionUUID->"f03bc825-1521-4851-a5f1-6b1883555b64"], +Cell[476577, 11756, 166, 3, 67, "Section",ExpressionUUID->"f03bc825-1521-4851-a5f1-6b1883555b64"], Cell[CellGroupData[{ -Cell[439216, 10914, 1226, 18, 54, "Subsection",ExpressionUUID->"72589bbd-52d7-448c-9e07-de570aaa91a1"], -Cell[440445, 10934, 1225, 20, 30, "Input",ExpressionUUID->"64505dfe-3bce-42a2-b055-674f282dde89"], +Cell[476768, 11763, 1226, 18, 54, "Subsection",ExpressionUUID->"72589bbd-52d7-448c-9e07-de570aaa91a1"], +Cell[477997, 11783, 1225, 20, 30, "Input",ExpressionUUID->"64505dfe-3bce-42a2-b055-674f282dde89"], Cell[CellGroupData[{ -Cell[441695, 10958, 1026, 29, 52, "Input",ExpressionUUID->"719fbc17-d50a-4f25-ac5d-a6aef37f69ae"], -Cell[442724, 10989, 626, 10, 51, "Output",ExpressionUUID->"058d8d59-638e-4520-b74c-d83cffecbc8c"], -Cell[443353, 11001, 607, 9, 34, "Output",ExpressionUUID->"99022d75-8502-4f4a-8870-ada7da5f945b"] +Cell[479247, 11807, 1026, 29, 52, "Input",ExpressionUUID->"719fbc17-d50a-4f25-ac5d-a6aef37f69ae"], +Cell[480276, 11838, 626, 10, 51, "Output",ExpressionUUID->"058d8d59-638e-4520-b74c-d83cffecbc8c"], +Cell[480905, 11850, 607, 9, 34, "Output",ExpressionUUID->"99022d75-8502-4f4a-8870-ada7da5f945b"] }, Open ]], Cell[CellGroupData[{ -Cell[443997, 11015, 529, 13, 30, "Input",ExpressionUUID->"3985141c-be0d-4e4e-a042-57220e2c8e73"], -Cell[444529, 11030, 739, 19, 54, "Output",ExpressionUUID->"bfef73d6-6784-4aec-b690-a22be7c9b4ad"] +Cell[481549, 11864, 529, 13, 30, "Input",ExpressionUUID->"3985141c-be0d-4e4e-a042-57220e2c8e73"], +Cell[482081, 11879, 739, 19, 54, "Output",ExpressionUUID->"bfef73d6-6784-4aec-b690-a22be7c9b4ad"] }, Open ]], Cell[CellGroupData[{ -Cell[445305, 11054, 548, 17, 30, "Input",ExpressionUUID->"d14ed336-3d9c-4223-a7b0-60c6dacdcad0"], -Cell[445856, 11073, 1561, 49, 97, "Output",ExpressionUUID->"59dd66ab-891c-44bd-b39a-656047274a0c"] +Cell[482857, 11903, 548, 17, 30, "Input",ExpressionUUID->"d14ed336-3d9c-4223-a7b0-60c6dacdcad0"], +Cell[483408, 11922, 1561, 49, 97, "Output",ExpressionUUID->"59dd66ab-891c-44bd-b39a-656047274a0c"] }, Open ]], -Cell[447432, 11125, 1070, 26, 30, "Input",ExpressionUUID->"bb1e81bf-6f7b-4d93-a9ac-53d6fd8c1489"], +Cell[484984, 11974, 1070, 26, 30, "Input",ExpressionUUID->"bb1e81bf-6f7b-4d93-a9ac-53d6fd8c1489"], Cell[CellGroupData[{ -Cell[448527, 11155, 479, 11, 30, "Input",ExpressionUUID->"024bcf28-8095-42df-9004-51269bdbc461"], -Cell[449009, 11168, 444, 10, 24, "Message",ExpressionUUID->"8833624e-8881-4de4-8375-ecdb2d5b06fc"], -Cell[449456, 11180, 159, 3, 34, "Output",ExpressionUUID->"db91f67c-cd2c-4151-88c9-950169087d6e"] +Cell[486079, 12004, 479, 11, 30, "Input",ExpressionUUID->"024bcf28-8095-42df-9004-51269bdbc461"], +Cell[486561, 12017, 444, 10, 24, "Message",ExpressionUUID->"8833624e-8881-4de4-8375-ecdb2d5b06fc"], +Cell[487008, 12029, 159, 3, 34, "Output",ExpressionUUID->"db91f67c-cd2c-4151-88c9-950169087d6e"] }, Open ]], Cell[CellGroupData[{ -Cell[449652, 11188, 534, 11, 30, "Input",ExpressionUUID->"37047281-e390-4fa8-8ee7-c348b35cfac5"], -Cell[450189, 11201, 705, 20, 78, "Output",ExpressionUUID->"acdcc1f5-5db7-4c33-96d8-246536ef6bc7"] +Cell[487204, 12037, 534, 11, 30, "Input",ExpressionUUID->"37047281-e390-4fa8-8ee7-c348b35cfac5"], +Cell[487741, 12050, 705, 20, 78, "Output",ExpressionUUID->"acdcc1f5-5db7-4c33-96d8-246536ef6bc7"] }, Open ]], Cell[CellGroupData[{ -Cell[450931, 11226, 825, 18, 30, "Input",ExpressionUUID->"cf9b9008-43f4-4e17-bf0d-421fed27767c"], -Cell[451759, 11246, 32915, 609, 230, "Output",ExpressionUUID->"c9604202-5ccf-4f05-bd86-f7e2d46659c2"] +Cell[488483, 12075, 825, 18, 30, "Input",ExpressionUUID->"cf9b9008-43f4-4e17-bf0d-421fed27767c"], +Cell[489311, 12095, 32915, 609, 230, "Output",ExpressionUUID->"c9604202-5ccf-4f05-bd86-f7e2d46659c2"] }, Open ]], Cell[CellGroupData[{ -Cell[484711, 11860, 814, 24, 52, "Input",ExpressionUUID->"7a19f391-ea85-4ac1-9169-0e71076cc730"], -Cell[485528, 11886, 379, 8, 34, "Output",ExpressionUUID->"885eab31-d901-41e9-a3c3-27e40e1b2597"], -Cell[485910, 11896, 1038, 31, 37, "Output",ExpressionUUID->"810e491c-0f35-4674-836e-b70b6ec08f67"] +Cell[522263, 12709, 814, 24, 52, "Input",ExpressionUUID->"7a19f391-ea85-4ac1-9169-0e71076cc730"], +Cell[523080, 12735, 379, 8, 34, "Output",ExpressionUUID->"885eab31-d901-41e9-a3c3-27e40e1b2597"], +Cell[523462, 12745, 1038, 31, 37, "Output",ExpressionUUID->"810e491c-0f35-4674-836e-b70b6ec08f67"] }, Open ]], Cell[CellGroupData[{ -Cell[486985, 11932, 1253, 26, 30, "Input",ExpressionUUID->"1c093b45-c7e6-436b-b249-347e2408b6ea"], -Cell[488241, 11960, 1160, 18, 24, "Print",ExpressionUUID->"e6d6d668-3c70-457a-b89e-87b1c4dccbd1"] +Cell[524537, 12781, 1253, 26, 30, "Input",ExpressionUUID->"1c093b45-c7e6-436b-b249-347e2408b6ea"], +Cell[525793, 12809, 1160, 18, 24, "Print",ExpressionUUID->"e6d6d668-3c70-457a-b89e-87b1c4dccbd1"] }, Open ]], Cell[CellGroupData[{ -Cell[489438, 11983, 8207, 153, 241, "Input",ExpressionUUID->"84f93c30-180e-48f1-b654-ba099d58a792"], -Cell[497648, 12138, 43943, 873, 237, "Output",ExpressionUUID->"8e495db3-dec7-4c20-999f-0778b45c18fd"] +Cell[526990, 12832, 8207, 153, 241, "Input",ExpressionUUID->"84f93c30-180e-48f1-b654-ba099d58a792"], +Cell[535200, 12987, 43943, 873, 237, "Output",ExpressionUUID->"8e495db3-dec7-4c20-999f-0778b45c18fd"] }, Open ]], Cell[CellGroupData[{ -Cell[541628, 13016, 788, 19, 30, "Input",ExpressionUUID->"1e1403dd-e8e6-4dfd-b8d9-a24853eb585c"], -Cell[542419, 13037, 15662, 321, 248, "Output",ExpressionUUID->"b7c41775-e083-429f-a12f-e84252548d72"] +Cell[579180, 13865, 788, 19, 30, "Input",ExpressionUUID->"1e1403dd-e8e6-4dfd-b8d9-a24853eb585c"], +Cell[579971, 13886, 15662, 321, 248, "Output",ExpressionUUID->"b7c41775-e083-429f-a12f-e84252548d72"] }, Open ]], Cell[CellGroupData[{ -Cell[558118, 13363, 763, 23, 52, "Input",ExpressionUUID->"7f9ff39f-8710-49f8-a542-c9f973274d82"], -Cell[558884, 13388, 288, 5, 34, "Output",ExpressionUUID->"7c99b552-a19f-44eb-b388-8c08bca69728"] +Cell[595670, 14212, 763, 23, 52, "Input",ExpressionUUID->"7f9ff39f-8710-49f8-a542-c9f973274d82"], +Cell[596436, 14237, 288, 5, 34, "Output",ExpressionUUID->"7c99b552-a19f-44eb-b388-8c08bca69728"] }, Open ]], -Cell[559187, 13396, 253, 6, 30, "Input",ExpressionUUID->"38603e06-81f9-4540-b442-c2b9eb49ef1f"], +Cell[596739, 14245, 253, 6, 30, "Input",ExpressionUUID->"38603e06-81f9-4540-b442-c2b9eb49ef1f"], Cell[CellGroupData[{ -Cell[559465, 13406, 1344, 43, 94, "Input",ExpressionUUID->"e757a525-69f7-4d56-83c3-fc04f587b774"], -Cell[560812, 13451, 323, 6, 34, "Output",ExpressionUUID->"3b5686dd-093e-4e89-bc6e-2fa6fdded850"], -Cell[561138, 13459, 320, 6, 34, "Output",ExpressionUUID->"68c7f9d2-8dcc-49c1-9ea4-2d806ade74f4"] +Cell[597017, 14255, 1344, 43, 94, "Input",ExpressionUUID->"e757a525-69f7-4d56-83c3-fc04f587b774"], +Cell[598364, 14300, 323, 6, 34, "Output",ExpressionUUID->"3b5686dd-093e-4e89-bc6e-2fa6fdded850"], +Cell[598690, 14308, 320, 6, 34, "Output",ExpressionUUID->"68c7f9d2-8dcc-49c1-9ea4-2d806ade74f4"] }, Open ]] }, Closed]], Cell[CellGroupData[{ -Cell[561507, 13471, 1218, 17, 38, "Subsection",ExpressionUUID->"b2820fff-bf8c-40c3-b557-8da092f86f4d"], -Cell[562728, 13490, 1271, 21, 30, "Input",ExpressionUUID->"3ef9ecbc-c1f2-4a48-955d-4ebded0720f2"], +Cell[599059, 14320, 1218, 17, 38, "Subsection",ExpressionUUID->"b2820fff-bf8c-40c3-b557-8da092f86f4d"], +Cell[600280, 14339, 1271, 21, 30, "Input",ExpressionUUID->"3ef9ecbc-c1f2-4a48-955d-4ebded0720f2"], Cell[CellGroupData[{ -Cell[564024, 13515, 1026, 29, 52, "Input",ExpressionUUID->"5e8acc5b-d57e-4cd3-afd8-01af9a7f0214"], -Cell[565053, 13546, 646, 10, 51, "Output",ExpressionUUID->"603a021f-99a3-4d1c-917a-f07c14ee9571"], -Cell[565702, 13558, 632, 9, 34, "Output",ExpressionUUID->"ff5abd93-f1d7-433e-af55-010a77d25c41"] +Cell[601576, 14364, 1026, 29, 52, "Input",ExpressionUUID->"5e8acc5b-d57e-4cd3-afd8-01af9a7f0214"], +Cell[602605, 14395, 646, 10, 51, "Output",ExpressionUUID->"603a021f-99a3-4d1c-917a-f07c14ee9571"], +Cell[603254, 14407, 632, 9, 34, "Output",ExpressionUUID->"ff5abd93-f1d7-433e-af55-010a77d25c41"] }, Open ]], -Cell[566349, 13570, 1070, 26, 30, "Input",ExpressionUUID->"44fbb0a8-b946-400a-b087-2cbbd124e507"], +Cell[603901, 14419, 1070, 26, 30, "Input",ExpressionUUID->"44fbb0a8-b946-400a-b087-2cbbd124e507"], Cell[CellGroupData[{ -Cell[567444, 13600, 814, 24, 52, "Input",ExpressionUUID->"8efacc6e-2635-4c77-8de1-f8af2a464add"], -Cell[568261, 13626, 401, 8, 34, "Output",ExpressionUUID->"ce57dd36-adac-4715-9653-7a0281933f9f"], -Cell[568665, 13636, 1062, 31, 37, "Output",ExpressionUUID->"f148db56-d3f5-4438-9e20-f0b3b27f757e"] +Cell[604996, 14449, 814, 24, 52, "Input",ExpressionUUID->"8efacc6e-2635-4c77-8de1-f8af2a464add"], +Cell[605813, 14475, 401, 8, 34, "Output",ExpressionUUID->"ce57dd36-adac-4715-9653-7a0281933f9f"], +Cell[606217, 14485, 1062, 31, 37, "Output",ExpressionUUID->"f148db56-d3f5-4438-9e20-f0b3b27f757e"] }, Open ]], Cell[CellGroupData[{ -Cell[569764, 13672, 349, 8, 30, "Input",ExpressionUUID->"beee0b9e-f64b-4695-b3ae-7af4ced4148e"], -Cell[570116, 13682, 580, 18, 59, "Output",ExpressionUUID->"b03a74d9-dbee-4aae-974b-34c5a517ca89"] +Cell[607316, 14521, 349, 8, 30, "Input",ExpressionUUID->"beee0b9e-f64b-4695-b3ae-7af4ced4148e"], +Cell[607668, 14531, 580, 18, 59, "Output",ExpressionUUID->"b03a74d9-dbee-4aae-974b-34c5a517ca89"] }, Open ]], Cell[CellGroupData[{ -Cell[570733, 13705, 1385, 29, 30, "Input",ExpressionUUID->"44e9fca0-a2b6-40c2-acd5-969ff36f73de"], -Cell[572121, 13736, 1208, 19, 24, "Print",ExpressionUUID->"bc4a9936-ccb5-4fd6-a83c-b3a4d43052de"] +Cell[608285, 14554, 1385, 29, 30, "Input",ExpressionUUID->"44e9fca0-a2b6-40c2-acd5-969ff36f73de"], +Cell[609673, 14585, 1208, 19, 24, "Print",ExpressionUUID->"bc4a9936-ccb5-4fd6-a83c-b3a4d43052de"] }, Open ]], Cell[CellGroupData[{ -Cell[573366, 13760, 8239, 153, 241, "Input",ExpressionUUID->"a18ecb8d-96bc-4b7c-a3a6-b402877a8aa7"], -Cell[581608, 13915, 43970, 874, 237, "Output",ExpressionUUID->"5e8d1719-5585-41b7-af48-00c401a7b5e7"] +Cell[610918, 14609, 8239, 153, 241, "Input",ExpressionUUID->"a18ecb8d-96bc-4b7c-a3a6-b402877a8aa7"], +Cell[619160, 14764, 43970, 874, 237, "Output",ExpressionUUID->"5e8d1719-5585-41b7-af48-00c401a7b5e7"] }, Open ]], Cell[CellGroupData[{ -Cell[625615, 14794, 788, 19, 30, "Input",ExpressionUUID->"565e8596-4dc2-441a-8302-b53cc1f29c77"], -Cell[626406, 14815, 28603, 541, 248, "Output",ExpressionUUID->"22ebddef-18bc-479d-a8ff-19e35db5b592"] +Cell[663167, 15643, 788, 19, 30, "Input",ExpressionUUID->"565e8596-4dc2-441a-8302-b53cc1f29c77"], +Cell[663958, 15664, 28603, 541, 248, "Output",ExpressionUUID->"22ebddef-18bc-479d-a8ff-19e35db5b592"] }, Open ]], Cell[CellGroupData[{ -Cell[655046, 15361, 763, 23, 52, "Input",ExpressionUUID->"cc65265d-0cfe-4427-b7e5-0a15535d81cf"], -Cell[655812, 15386, 311, 5, 34, "Output",ExpressionUUID->"165c943e-61fb-4db1-b256-d4ddb7d91843"] +Cell[692598, 16210, 763, 23, 52, "Input",ExpressionUUID->"cc65265d-0cfe-4427-b7e5-0a15535d81cf"], +Cell[693364, 16235, 311, 5, 34, "Output",ExpressionUUID->"165c943e-61fb-4db1-b256-d4ddb7d91843"] }, Open ]], -Cell[656138, 15394, 253, 6, 30, "Input",ExpressionUUID->"3090482e-6c5c-4f63-b628-0b772cc2d3bf"], +Cell[693690, 16243, 253, 6, 30, "Input",ExpressionUUID->"3090482e-6c5c-4f63-b628-0b772cc2d3bf"], Cell[CellGroupData[{ -Cell[656416, 15404, 1344, 43, 94, "Input",ExpressionUUID->"8a5b6906-12c3-45e9-94db-2214437f6f1d"], -Cell[657763, 15449, 347, 6, 34, "Output",ExpressionUUID->"6d432a27-bd5f-486b-a489-63a850ae6102"], -Cell[658113, 15457, 344, 6, 34, "Output",ExpressionUUID->"503e8131-6d9d-4f5d-83a6-5c9f15ca6dba"] +Cell[693968, 16253, 1344, 43, 94, "Input",ExpressionUUID->"8a5b6906-12c3-45e9-94db-2214437f6f1d"], +Cell[695315, 16298, 347, 6, 34, "Output",ExpressionUUID->"6d432a27-bd5f-486b-a489-63a850ae6102"], +Cell[695665, 16306, 344, 6, 34, "Output",ExpressionUUID->"503e8131-6d9d-4f5d-83a6-5c9f15ca6dba"] }, Open ]], Cell[CellGroupData[{ -Cell[658494, 15468, 795, 21, 30, "Input",ExpressionUUID->"843cfd2f-69c2-46f4-8b37-bf4d35a364e2"], -Cell[659292, 15491, 16718, 333, 254, "Output",ExpressionUUID->"351b1ced-1b62-4b15-a826-224777724a80"] +Cell[696046, 16317, 795, 21, 30, "Input",ExpressionUUID->"843cfd2f-69c2-46f4-8b37-bf4d35a364e2"], +Cell[696844, 16340, 16718, 333, 254, "Output",ExpressionUUID->"351b1ced-1b62-4b15-a826-224777724a80"] }, Open ]] }, Closed]], Cell[CellGroupData[{ -Cell[676059, 15830, 1182, 17, 38, "Subsection",ExpressionUUID->"37266eb5-8195-46d9-9a9f-dc6f7b0c4e42"], -Cell[677244, 15849, 1327, 21, 30, "Input",ExpressionUUID->"f2c60745-11df-4b9e-8051-c69371e69dca"], -Cell[678574, 15872, 1015, 24, 30, "Input",ExpressionUUID->"e7d3970f-a814-42d5-8628-fabec9687213"], +Cell[713611, 16679, 1182, 17, 38, "Subsection",ExpressionUUID->"37266eb5-8195-46d9-9a9f-dc6f7b0c4e42"], +Cell[714796, 16698, 1327, 21, 30, "Input",ExpressionUUID->"f2c60745-11df-4b9e-8051-c69371e69dca"], +Cell[716126, 16721, 1015, 24, 30, "Input",ExpressionUUID->"e7d3970f-a814-42d5-8628-fabec9687213"], Cell[CellGroupData[{ -Cell[679614, 15900, 757, 18, 30, "Input",ExpressionUUID->"a4192e9e-8e22-4457-9aa1-67d399dbac4f"], -Cell[680374, 15920, 265, 5, 24, "Print",ExpressionUUID->"50897667-9781-4278-a9a3-8ee39432db80"] +Cell[717166, 16749, 757, 18, 30, "Input",ExpressionUUID->"a4192e9e-8e22-4457-9aa1-67d399dbac4f"], +Cell[717926, 16769, 265, 5, 24, "Print",ExpressionUUID->"50897667-9781-4278-a9a3-8ee39432db80"] }, Open ]], Cell[CellGroupData[{ -Cell[680676, 15930, 8054, 156, 241, "Input",ExpressionUUID->"7b6c4690-015e-4366-94b4-6ab38f039057"], -Cell[688733, 16088, 43244, 855, 237, "Output",ExpressionUUID->"dbc97866-cb98-4423-86d6-8d45d26c2193"], -Cell[731980, 16945, 4845, 100, 220, "Output",ExpressionUUID->"51c94f0b-c84f-4066-b4c4-9d24b6fd79a1"] +Cell[718228, 16779, 8054, 156, 241, "Input",ExpressionUUID->"7b6c4690-015e-4366-94b4-6ab38f039057"], +Cell[726285, 16937, 43244, 855, 237, "Output",ExpressionUUID->"dbc97866-cb98-4423-86d6-8d45d26c2193"], +Cell[769532, 17794, 4845, 100, 220, "Output",ExpressionUUID->"51c94f0b-c84f-4066-b4c4-9d24b6fd79a1"] }, Open ]], Cell[CellGroupData[{ -Cell[736862, 17050, 763, 23, 52, "Input",ExpressionUUID->"d085706e-a105-47d4-ab54-c587323ea7e2"], -Cell[737628, 17075, 241, 4, 34, "Output",ExpressionUUID->"07235865-1dfb-4e17-9206-09e93c9845de"] +Cell[774414, 17899, 763, 23, 52, "Input",ExpressionUUID->"d085706e-a105-47d4-ab54-c587323ea7e2"], +Cell[775180, 17924, 241, 4, 34, "Output",ExpressionUUID->"07235865-1dfb-4e17-9206-09e93c9845de"] }, Open ]], -Cell[737884, 17082, 253, 6, 30, "Input",ExpressionUUID->"4ab87890-76c2-4a56-8e4e-9f0ed3234489"], +Cell[775436, 17931, 253, 6, 30, "Input",ExpressionUUID->"4ab87890-76c2-4a56-8e4e-9f0ed3234489"], Cell[CellGroupData[{ -Cell[738162, 17092, 1344, 43, 94, "Input",ExpressionUUID->"6190f88e-521c-4d0a-892d-6bb8d284f63d"], -Cell[739509, 17137, 273, 5, 34, "Output",ExpressionUUID->"2167ca09-4ace-4c44-81b0-100d2bce83d6"], -Cell[739785, 17144, 272, 5, 34, "Output",ExpressionUUID->"fd40c151-392a-48c4-a90b-4b4b0a7dfc79"] +Cell[775714, 17941, 1344, 43, 94, "Input",ExpressionUUID->"6190f88e-521c-4d0a-892d-6bb8d284f63d"], +Cell[777061, 17986, 273, 5, 34, "Output",ExpressionUUID->"2167ca09-4ace-4c44-81b0-100d2bce83d6"], +Cell[777337, 17993, 272, 5, 34, "Output",ExpressionUUID->"fd40c151-392a-48c4-a90b-4b4b0a7dfc79"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[740118, 17156, 176, 3, 67, "Section",ExpressionUUID->"5749bd47-dc02-4cba-a2cf-201a855b2151"], +Cell[777670, 18005, 176, 3, 67, "Section",ExpressionUUID->"5749bd47-dc02-4cba-a2cf-201a855b2151"], Cell[CellGroupData[{ -Cell[740319, 17163, 159, 3, 54, "Subsection",ExpressionUUID->"ba981157-8458-4263-8a67-f9cf60ef2f96"], +Cell[777871, 18012, 159, 3, 54, "Subsection",ExpressionUUID->"ba981157-8458-4263-8a67-f9cf60ef2f96"], Cell[CellGroupData[{ -Cell[740503, 17170, 163, 3, 45, "Subsubsection",ExpressionUUID->"91514f64-9c96-4556-9a7d-de6137f482de"], +Cell[778055, 18019, 163, 3, 45, "Subsubsection",ExpressionUUID->"91514f64-9c96-4556-9a7d-de6137f482de"], Cell[CellGroupData[{ -Cell[740691, 17177, 1825, 34, 94, "Input",ExpressionUUID->"9b04f69d-c730-4354-be2b-0ff586112713"], -Cell[742519, 17213, 882, 16, 77, "Output",ExpressionUUID->"8ba5fccb-8517-4874-a4ee-b289e34b65b2"] +Cell[778243, 18026, 1825, 34, 94, "Input",ExpressionUUID->"9b04f69d-c730-4354-be2b-0ff586112713"], +Cell[780071, 18062, 882, 16, 77, "Output",ExpressionUUID->"8ba5fccb-8517-4874-a4ee-b289e34b65b2"] }, Open ]], Cell[CellGroupData[{ -Cell[743438, 17234, 2417, 53, 94, "Input",ExpressionUUID->"3efbf911-69a1-4c12-b496-7f764f1c490e"], -Cell[745858, 17289, 1012, 19, 42, "Message",ExpressionUUID->"8a089ba7-f1c6-41da-9d08-bee973db1d28"], -Cell[746873, 17310, 1013, 19, 42, "Message",ExpressionUUID->"4ac63832-f9d9-4cb0-8816-7c3cdb5ffee5"], -Cell[747889, 17331, 1014, 19, 42, "Message",ExpressionUUID->"47058735-8125-49a5-bd1d-2553eda1a769"], -Cell[748906, 17352, 673, 13, 24, "Message",ExpressionUUID->"d541179d-cefe-4ba6-9fb9-383b81def286"] +Cell[780990, 18083, 2417, 53, 94, "Input",ExpressionUUID->"3efbf911-69a1-4c12-b496-7f764f1c490e"], +Cell[783410, 18138, 1012, 19, 42, "Message",ExpressionUUID->"8a089ba7-f1c6-41da-9d08-bee973db1d28"], +Cell[784425, 18159, 1013, 19, 42, "Message",ExpressionUUID->"4ac63832-f9d9-4cb0-8816-7c3cdb5ffee5"], +Cell[785441, 18180, 1014, 19, 42, "Message",ExpressionUUID->"47058735-8125-49a5-bd1d-2553eda1a769"], +Cell[786458, 18201, 673, 13, 24, "Message",ExpressionUUID->"d541179d-cefe-4ba6-9fb9-383b81def286"] }, Open ]], -Cell[749594, 17368, 152, 3, 30, "Input",ExpressionUUID->"4f6dbc9e-018a-45fc-a0c5-c3e73e2aad7b"], +Cell[787146, 18217, 152, 3, 30, "Input",ExpressionUUID->"4f6dbc9e-018a-45fc-a0c5-c3e73e2aad7b"], Cell[CellGroupData[{ -Cell[749771, 17375, 911, 27, 30, "Input",ExpressionUUID->"913fa8d3-9c8c-44c2-92b3-f2e8f8fbacc7"], -Cell[750685, 17404, 3946, 94, 263, "Output",ExpressionUUID->"d998e05f-9766-4ca6-b1cb-9aa9473dd663"] +Cell[787323, 18224, 911, 27, 30, "Input",ExpressionUUID->"913fa8d3-9c8c-44c2-92b3-f2e8f8fbacc7"], +Cell[788237, 18253, 3946, 94, 263, "Output",ExpressionUUID->"d998e05f-9766-4ca6-b1cb-9aa9473dd663"] }, Open ]], Cell[CellGroupData[{ -Cell[754668, 17503, 2328, 50, 94, "Input",ExpressionUUID->"b9d155d0-8b4f-4054-b42c-ccb1e63fe718"], -Cell[756999, 17555, 1039, 20, 42, "Message",ExpressionUUID->"a53f9c7c-d5b5-4dd8-8b97-5659db357fa2"], -Cell[758041, 17577, 1039, 20, 42, "Message",ExpressionUUID->"c818faf6-7393-4709-825c-b00491e03a05"], -Cell[759083, 17599, 1040, 20, 42, "Message",ExpressionUUID->"d6b7d95d-653a-460c-9f17-ff19f802a117"], -Cell[760126, 17621, 696, 14, 24, "Message",ExpressionUUID->"05ca9c57-7f90-47dc-85cc-c718cdc3f4ef"] +Cell[792220, 18352, 2328, 50, 94, "Input",ExpressionUUID->"b9d155d0-8b4f-4054-b42c-ccb1e63fe718"], +Cell[794551, 18404, 1039, 20, 42, "Message",ExpressionUUID->"a53f9c7c-d5b5-4dd8-8b97-5659db357fa2"], +Cell[795593, 18426, 1039, 20, 42, "Message",ExpressionUUID->"c818faf6-7393-4709-825c-b00491e03a05"], +Cell[796635, 18448, 1040, 20, 42, "Message",ExpressionUUID->"d6b7d95d-653a-460c-9f17-ff19f802a117"], +Cell[797678, 18470, 696, 14, 24, "Message",ExpressionUUID->"05ca9c57-7f90-47dc-85cc-c718cdc3f4ef"] }, Open ]], -Cell[760837, 17638, 1026, 29, 30, "Input",ExpressionUUID->"7971435f-5055-4a09-9e33-0f0fe97bb315"], +Cell[798389, 18487, 1026, 29, 30, "Input",ExpressionUUID->"7971435f-5055-4a09-9e33-0f0fe97bb315"], Cell[CellGroupData[{ -Cell[761888, 17671, 2754, 59, 94, "Input",ExpressionUUID->"58cf74f9-28e9-4477-aac8-5da15fef6a6b"], -Cell[764645, 17732, 65571, 1315, 375, "Output",ExpressionUUID->"82263251-b5a1-4981-9207-bab08af71f79"] +Cell[799440, 18520, 2754, 59, 94, "Input",ExpressionUUID->"58cf74f9-28e9-4477-aac8-5da15fef6a6b"], +Cell[802197, 18581, 65571, 1315, 375, "Output",ExpressionUUID->"82263251-b5a1-4981-9207-bab08af71f79"] }, Open ]], Cell[CellGroupData[{ -Cell[830253, 19052, 420, 9, 30, "Input",ExpressionUUID->"556f4d54-63b0-42df-b2c4-d7614736c084"], -Cell[830676, 19063, 15001, 297, 72, "Output",ExpressionUUID->"6cba4079-b797-4eb6-b81f-f65a03d2bcb8"] +Cell[867805, 19901, 420, 9, 30, "Input",ExpressionUUID->"556f4d54-63b0-42df-b2c4-d7614736c084"], +Cell[868228, 19912, 15001, 297, 72, "Output",ExpressionUUID->"6cba4079-b797-4eb6-b81f-f65a03d2bcb8"] }, Open ]], Cell[CellGroupData[{ -Cell[845714, 19365, 536, 15, 30, "Input",ExpressionUUID->"7ab3cc3f-7877-4657-abf8-9aa902e5f925"], -Cell[846253, 19382, 626, 13, 31, "Message",ExpressionUUID->"7b5328cc-a5bc-4b41-919e-acf7a5e3cdaf"], -Cell[846882, 19397, 448, 7, 34, "Output",ExpressionUUID->"e519fec0-81d0-4f43-a799-353774898003"] +Cell[883266, 20214, 536, 15, 30, "Input",ExpressionUUID->"7ab3cc3f-7877-4657-abf8-9aa902e5f925"], +Cell[883805, 20231, 626, 13, 31, "Message",ExpressionUUID->"7b5328cc-a5bc-4b41-919e-acf7a5e3cdaf"], +Cell[884434, 20246, 448, 7, 34, "Output",ExpressionUUID->"e519fec0-81d0-4f43-a799-353774898003"] }, Open ]], Cell[CellGroupData[{ -Cell[847367, 19409, 652, 20, 30, "Input",ExpressionUUID->"48719bc6-b11c-45d6-be98-c04cd9bb05a3"], -Cell[848022, 19431, 365, 6, 34, "Output",ExpressionUUID->"d8936bad-3090-44bb-a131-3441a53cd3f7"] +Cell[884919, 20258, 652, 20, 30, "Input",ExpressionUUID->"48719bc6-b11c-45d6-be98-c04cd9bb05a3"], +Cell[885574, 20280, 365, 6, 34, "Output",ExpressionUUID->"d8936bad-3090-44bb-a131-3441a53cd3f7"] }, Open ]], -Cell[848402, 19440, 244, 5, 30, "Input",ExpressionUUID->"233b0640-c5e0-483d-aec3-d3b8da0603af"], +Cell[885954, 20289, 244, 5, 30, "Input",ExpressionUUID->"233b0640-c5e0-483d-aec3-d3b8da0603af"], Cell[CellGroupData[{ -Cell[848671, 19449, 237, 5, 30, "Input",ExpressionUUID->"3c5eac13-4bdd-4118-a482-3e8f2d72cb51"], -Cell[848911, 19456, 392, 6, 34, "Output",ExpressionUUID->"6f7cd046-e229-4191-81bd-08e368b6f58e"] +Cell[886223, 20298, 237, 5, 30, "Input",ExpressionUUID->"3c5eac13-4bdd-4118-a482-3e8f2d72cb51"], +Cell[886463, 20305, 392, 6, 34, "Output",ExpressionUUID->"6f7cd046-e229-4191-81bd-08e368b6f58e"] }, Open ]], Cell[CellGroupData[{ -Cell[849340, 19467, 532, 15, 30, "Input",ExpressionUUID->"2768cbf9-1327-4c03-bc9f-c36e43ed3072"], -Cell[849875, 19484, 17749, 352, 111, "Output",ExpressionUUID->"b5b48068-bb24-417a-99fb-07b8f6c63396"] +Cell[886892, 20316, 532, 15, 30, "Input",ExpressionUUID->"2768cbf9-1327-4c03-bc9f-c36e43ed3072"], +Cell[887427, 20333, 17749, 352, 111, "Output",ExpressionUUID->"b5b48068-bb24-417a-99fb-07b8f6c63396"] }, Open ]], Cell[CellGroupData[{ -Cell[867661, 19841, 2895, 63, 115, "Input",ExpressionUUID->"29809a07-f28c-4e9a-bd5c-5a7a727ee9dc"], -Cell[870559, 19906, 557, 12, 49, "Message",ExpressionUUID->"fa40aa18-95c3-4025-9927-5c7482b99490"], -Cell[871119, 19920, 88809, 1684, 381, "Output",ExpressionUUID->"927f5c7b-6faf-4735-9e9d-0aa869cf0760"] +Cell[905213, 20690, 2895, 63, 115, "Input",ExpressionUUID->"29809a07-f28c-4e9a-bd5c-5a7a727ee9dc"], +Cell[908111, 20755, 557, 12, 49, "Message",ExpressionUUID->"fa40aa18-95c3-4025-9927-5c7482b99490"], +Cell[908671, 20769, 88809, 1684, 381, "Output",ExpressionUUID->"927f5c7b-6faf-4735-9e9d-0aa869cf0760"] }, Open ]] }, Closed]], Cell[CellGroupData[{ -Cell[959977, 21610, 154, 3, 37, "Subsubsection",ExpressionUUID->"e4a9ae43-463d-4aae-9abe-517b2016b6ca"], +Cell[997529, 22459, 154, 3, 37, "Subsubsection",ExpressionUUID->"e4a9ae43-463d-4aae-9abe-517b2016b6ca"], Cell[CellGroupData[{ -Cell[960156, 21617, 2316, 47, 115, "Input",ExpressionUUID->"3fe47531-a7d0-4d41-9f59-1f3102766ae8"], -Cell[962475, 21666, 1147, 19, 77, "Output",ExpressionUUID->"a152b91b-b458-4cd1-8363-ba94273c3c8d"] +Cell[997708, 22466, 2316, 47, 115, "Input",ExpressionUUID->"3fe47531-a7d0-4d41-9f59-1f3102766ae8"], +Cell[1000027, 22515, 1147, 19, 77, "Output",ExpressionUUID->"a152b91b-b458-4cd1-8363-ba94273c3c8d"] }, Open ]], Cell[CellGroupData[{ -Cell[963659, 21690, 2568, 55, 94, "Input",ExpressionUUID->"1bc4d925-a394-449d-8bba-c94874c4fa65"], -Cell[966230, 21747, 1180, 21, 24, "Message",ExpressionUUID->"559f7c3e-4e6b-4681-95cc-1c6ae7b8f0fd"], -Cell[967413, 21770, 1179, 21, 24, "Message",ExpressionUUID->"a03ea14c-a34a-4e0f-86ba-121236a87130"], -Cell[968595, 21793, 1179, 21, 24, "Message",ExpressionUUID->"30714085-ef14-4eb4-b627-1d2f3bfc00e4"], -Cell[969777, 21816, 952, 17, 24, "Message",ExpressionUUID->"42aac114-2832-4de4-824a-a72e3ce66945"], -Cell[970732, 21835, 1081, 19, 59, "Message",ExpressionUUID->"1e27ca73-b537-4543-8e8e-c07e204ce5f6"] +Cell[1001211, 22539, 2568, 55, 94, "Input",ExpressionUUID->"1bc4d925-a394-449d-8bba-c94874c4fa65"], +Cell[1003782, 22596, 1180, 21, 24, "Message",ExpressionUUID->"559f7c3e-4e6b-4681-95cc-1c6ae7b8f0fd"], +Cell[1004965, 22619, 1179, 21, 24, "Message",ExpressionUUID->"a03ea14c-a34a-4e0f-86ba-121236a87130"], +Cell[1006147, 22642, 1179, 21, 24, "Message",ExpressionUUID->"30714085-ef14-4eb4-b627-1d2f3bfc00e4"], +Cell[1007329, 22665, 952, 17, 24, "Message",ExpressionUUID->"42aac114-2832-4de4-824a-a72e3ce66945"], +Cell[1008284, 22684, 1081, 19, 59, "Message",ExpressionUUID->"1e27ca73-b537-4543-8e8e-c07e204ce5f6"] }, Open ]], Cell[CellGroupData[{ -Cell[971850, 21859, 911, 27, 30, "Input",ExpressionUUID->"3dd985d9-e310-44bb-bc2f-3fcab7398255"], -Cell[972764, 21888, 4667, 102, 338, "Output",ExpressionUUID->"4bd4ed0c-c8bb-4d6a-a163-b661e6f03d29"] +Cell[1009402, 22708, 911, 27, 30, "Input",ExpressionUUID->"3dd985d9-e310-44bb-bc2f-3fcab7398255"], +Cell[1010316, 22737, 4667, 102, 338, "Output",ExpressionUUID->"4bd4ed0c-c8bb-4d6a-a163-b661e6f03d29"] }, Open ]], Cell[CellGroupData[{ -Cell[977468, 21995, 2810, 58, 94, "Input",ExpressionUUID->"b4d18414-8188-41fa-b618-674e8f51b53b"], -Cell[980281, 22055, 49517, 992, 375, "Output",ExpressionUUID->"6a9a61aa-604d-4288-a37f-a81070aa1cfd"] +Cell[1015020, 22844, 2810, 58, 94, "Input",ExpressionUUID->"b4d18414-8188-41fa-b618-674e8f51b53b"], +Cell[1017833, 22904, 49517, 992, 375, "Output",ExpressionUUID->"6a9a61aa-604d-4288-a37f-a81070aa1cfd"] }, Open ]], Cell[CellGroupData[{ -Cell[1029835, 23052, 393, 7, 30, "Input",ExpressionUUID->"06d8e1bc-d18c-40eb-b92d-0492e501527f"], -Cell[1030231, 23061, 15394, 305, 72, "Output",ExpressionUUID->"0e75f126-76c2-43a1-ad69-b41f9e8953ce"] +Cell[1067387, 23901, 393, 7, 30, "Input",ExpressionUUID->"06d8e1bc-d18c-40eb-b92d-0492e501527f"], +Cell[1067783, 23910, 15394, 305, 72, "Output",ExpressionUUID->"0e75f126-76c2-43a1-ad69-b41f9e8953ce"] }, Open ]], Cell[CellGroupData[{ -Cell[1045662, 23371, 536, 15, 30, "Input",ExpressionUUID->"8e1d18ee-f4b4-4c81-9b77-e309ca9dd150"], -Cell[1046201, 23388, 494, 7, 34, "Output",ExpressionUUID->"d11484fd-da0b-4d1d-a446-ef1f1143e3b8"] +Cell[1083214, 24220, 536, 15, 30, "Input",ExpressionUUID->"8e1d18ee-f4b4-4c81-9b77-e309ca9dd150"], +Cell[1083753, 24237, 494, 7, 34, "Output",ExpressionUUID->"d11484fd-da0b-4d1d-a446-ef1f1143e3b8"] }, Open ]], Cell[CellGroupData[{ -Cell[1046732, 23400, 652, 20, 30, "Input",ExpressionUUID->"1d6312bc-4e1f-497e-8ed8-d1e2793b88d5"], -Cell[1047387, 23422, 413, 6, 34, "Output",ExpressionUUID->"c0a5c8f3-607b-4c8d-a9af-5919900f2136"] +Cell[1084284, 24249, 652, 20, 30, "Input",ExpressionUUID->"1d6312bc-4e1f-497e-8ed8-d1e2793b88d5"], +Cell[1084939, 24271, 413, 6, 34, "Output",ExpressionUUID->"c0a5c8f3-607b-4c8d-a9af-5919900f2136"] }, Open ]], -Cell[1047815, 23431, 244, 5, 30, "Input",ExpressionUUID->"7e573cba-a3ac-47b8-be57-4afbf9fbc155"], +Cell[1085367, 24280, 244, 5, 30, "Input",ExpressionUUID->"7e573cba-a3ac-47b8-be57-4afbf9fbc155"], Cell[CellGroupData[{ -Cell[1048084, 23440, 237, 5, 30, "Input",ExpressionUUID->"119eb2f2-c52d-4c23-8ce9-f4108a17b21b"], -Cell[1048324, 23447, 444, 7, 34, "Output",ExpressionUUID->"744cdeab-8661-480f-9429-6314d25f2f9f"] +Cell[1085636, 24289, 237, 5, 30, "Input",ExpressionUUID->"119eb2f2-c52d-4c23-8ce9-f4108a17b21b"], +Cell[1085876, 24296, 444, 7, 34, "Output",ExpressionUUID->"744cdeab-8661-480f-9429-6314d25f2f9f"] }, Open ]], Cell[CellGroupData[{ -Cell[1048805, 23459, 532, 15, 30, "Input",ExpressionUUID->"3a12b6e6-45e3-468a-8efb-00c40989b72b"], -Cell[1049340, 23476, 18105, 358, 111, "Output",ExpressionUUID->"5a1f1907-45cd-4875-8a1e-325e800f8f37"] +Cell[1086357, 24308, 532, 15, 30, "Input",ExpressionUUID->"3a12b6e6-45e3-468a-8efb-00c40989b72b"], +Cell[1086892, 24325, 18105, 358, 111, "Output",ExpressionUUID->"5a1f1907-45cd-4875-8a1e-325e800f8f37"] }, Open ]], Cell[CellGroupData[{ -Cell[1067482, 23839, 2932, 62, 115, "Input",ExpressionUUID->"bd8b7fe4-63fa-46b5-aa40-fbfc70b87779"], -Cell[1070417, 23903, 78570, 1513, 381, "Output",ExpressionUUID->"d3e4cbd9-ae03-4519-8655-11373ebd68ef"] +Cell[1105034, 24688, 2932, 62, 115, "Input",ExpressionUUID->"bd8b7fe4-63fa-46b5-aa40-fbfc70b87779"], +Cell[1107969, 24752, 78570, 1513, 381, "Output",ExpressionUUID->"d3e4cbd9-ae03-4519-8655-11373ebd68ef"] }, Open ]] }, Closed]], Cell[CellGroupData[{ -Cell[1149036, 25422, 229, 4, 37, "Subsubsection",ExpressionUUID->"11184085-91e2-4612-9a46-acb61173620f"], +Cell[1186588, 26271, 229, 4, 37, "Subsubsection",ExpressionUUID->"11184085-91e2-4612-9a46-acb61173620f"], Cell[CellGroupData[{ -Cell[1149290, 25430, 775, 22, 52, "Input",ExpressionUUID->"96a644d9-6e54-4ab4-9148-dd2493c8f20c"], -Cell[1150068, 25454, 266, 4, 34, "Output",ExpressionUUID->"7508b79b-6e60-4769-8be4-edb72241e995"] +Cell[1186842, 26279, 775, 22, 52, "Input",ExpressionUUID->"96a644d9-6e54-4ab4-9148-dd2493c8f20c"], +Cell[1187620, 26303, 266, 4, 34, "Output",ExpressionUUID->"7508b79b-6e60-4769-8be4-edb72241e995"] }, Open ]], -Cell[1150349, 25461, 255, 6, 30, "Input",ExpressionUUID->"5713b2e1-ef24-4470-a64e-5db3f9dfc02e"], +Cell[1187901, 26310, 255, 6, 30, "Input",ExpressionUUID->"5713b2e1-ef24-4470-a64e-5db3f9dfc02e"], Cell[CellGroupData[{ -Cell[1150629, 25471, 2709, 62, 115, "Input",ExpressionUUID->"057df1c7-3917-4c10-b228-0e61c3c7a73c"], -Cell[1153341, 25535, 1557, 23, 34, "Output",ExpressionUUID->"8c58b15c-41ba-432e-aaee-7030aa6f62a0"], -Cell[1154901, 25560, 1769, 30, 56, "Output",ExpressionUUID->"da576a89-9532-42c5-9e6c-1c4c9d1e7fd5"], -Cell[1156673, 25592, 1555, 23, 34, "Output",ExpressionUUID->"3a6cdb3e-029a-4c89-983f-1f56b81f06e8"] +Cell[1188181, 26320, 2709, 62, 115, "Input",ExpressionUUID->"057df1c7-3917-4c10-b228-0e61c3c7a73c"], +Cell[1190893, 26384, 1557, 23, 34, "Output",ExpressionUUID->"8c58b15c-41ba-432e-aaee-7030aa6f62a0"], +Cell[1192453, 26409, 1769, 30, 56, "Output",ExpressionUUID->"da576a89-9532-42c5-9e6c-1c4c9d1e7fd5"], +Cell[1194225, 26441, 1555, 23, 34, "Output",ExpressionUUID->"3a6cdb3e-029a-4c89-983f-1f56b81f06e8"] }, Open ]], -Cell[1158243, 25618, 270, 7, 30, "Input",ExpressionUUID->"d545c8a7-d05f-4e3e-90fd-2e15fe9fca7f"], +Cell[1195795, 26467, 270, 7, 30, "Input",ExpressionUUID->"d545c8a7-d05f-4e3e-90fd-2e15fe9fca7f"], Cell[CellGroupData[{ -Cell[1158538, 25629, 358, 7, 30, "Input",ExpressionUUID->"872cc13b-8e50-42d6-866b-f14adb347e7f"], -Cell[1158899, 25638, 1058, 21, 62, "Output",ExpressionUUID->"e09b708e-d49b-49db-8b55-466a8b511049"] +Cell[1196090, 26478, 358, 7, 30, "Input",ExpressionUUID->"872cc13b-8e50-42d6-866b-f14adb347e7f"], +Cell[1196451, 26487, 1058, 21, 62, "Output",ExpressionUUID->"e09b708e-d49b-49db-8b55-466a8b511049"] }, Open ]], Cell[CellGroupData[{ -Cell[1159994, 25664, 2316, 47, 115, "Input",ExpressionUUID->"ff5598a7-2f9e-4811-8bf8-ce85ee841791"], -Cell[1162313, 25713, 1206, 20, 77, "Output",ExpressionUUID->"273bbeb3-8eef-4a63-b0f8-9c2fb08338d4"] +Cell[1197546, 26513, 2316, 47, 115, "Input",ExpressionUUID->"ff5598a7-2f9e-4811-8bf8-ce85ee841791"], +Cell[1199865, 26562, 1206, 20, 77, "Output",ExpressionUUID->"273bbeb3-8eef-4a63-b0f8-9c2fb08338d4"] }, Open ]], Cell[CellGroupData[{ -Cell[1163556, 25738, 585, 13, 30, "Input",ExpressionUUID->"70f90102-3530-4166-a289-f25ebc522315"], -Cell[1164144, 25753, 19862, 387, 237, "Output",ExpressionUUID->"66f92046-9e44-49f1-9d4d-04ca159c4e3f"] +Cell[1201108, 26587, 585, 13, 30, "Input",ExpressionUUID->"70f90102-3530-4166-a289-f25ebc522315"], +Cell[1201696, 26602, 19862, 387, 237, "Output",ExpressionUUID->"66f92046-9e44-49f1-9d4d-04ca159c4e3f"] }, Open ]], -Cell[1184021, 26143, 441, 13, 53, "Input",ExpressionUUID->"ace7098f-621c-48a0-b5c4-4256ffb71049"], +Cell[1221573, 26992, 441, 13, 53, "Input",ExpressionUUID->"ace7098f-621c-48a0-b5c4-4256ffb71049"], Cell[CellGroupData[{ -Cell[1184487, 26160, 787, 18, 52, "Input",ExpressionUUID->"93170141-e296-431e-b149-b9a461f89bf9"], -Cell[1185277, 26180, 5389, 108, 234, "Output",ExpressionUUID->"446e8701-80ad-4591-8022-8a543e4e09b1"] +Cell[1222039, 27009, 787, 18, 52, "Input",ExpressionUUID->"93170141-e296-431e-b149-b9a461f89bf9"], +Cell[1222829, 27029, 5389, 108, 234, "Output",ExpressionUUID->"446e8701-80ad-4591-8022-8a543e4e09b1"] }, Open ]], Cell[CellGroupData[{ -Cell[1190703, 26293, 265, 6, 30, "Input",ExpressionUUID->"31c3df29-e8aa-43eb-af38-f4b2c70dffac"], -Cell[1190971, 26301, 472, 10, 42, "Message",ExpressionUUID->"1c995d55-0745-4756-a2d4-68534777d494"], -Cell[1191446, 26313, 552, 14, 37, "Output",ExpressionUUID->"8fd82f1e-9f35-47a5-be62-beb2c0d06b2b"] +Cell[1228255, 27142, 265, 6, 30, "Input",ExpressionUUID->"31c3df29-e8aa-43eb-af38-f4b2c70dffac"], +Cell[1228523, 27150, 472, 10, 42, "Message",ExpressionUUID->"1c995d55-0745-4756-a2d4-68534777d494"], +Cell[1228998, 27162, 552, 14, 37, "Output",ExpressionUUID->"8fd82f1e-9f35-47a5-be62-beb2c0d06b2b"] }, Open ]], Cell[CellGroupData[{ -Cell[1192035, 26332, 2699, 47, 73, "Input",ExpressionUUID->"44b3d80f-eab7-44ec-8fe9-c3b9a3063b7a"], -Cell[1194737, 26381, 618, 12, 59, "Message",ExpressionUUID->"f44ea9bc-f4f0-4ff9-bc2b-ba35d7a00af4"], -Cell[1195358, 26395, 616, 12, 59, "Message",ExpressionUUID->"e7aa77c2-94e4-42fb-991f-eb708f0ed4d0"], -Cell[1195977, 26409, 616, 12, 59, "Message",ExpressionUUID->"735626a9-c990-4786-aca8-bb054e529600"], -Cell[1196596, 26423, 475, 10, 24, "Message",ExpressionUUID->"97277a48-befd-4753-ba75-6bd82095e181"], -Cell[1197074, 26435, 4261, 125, 315, "Output",ExpressionUUID->"30166ad9-b386-442e-9487-d4719d763844"] +Cell[1229587, 27181, 2699, 47, 73, "Input",ExpressionUUID->"44b3d80f-eab7-44ec-8fe9-c3b9a3063b7a"], +Cell[1232289, 27230, 618, 12, 59, "Message",ExpressionUUID->"f44ea9bc-f4f0-4ff9-bc2b-ba35d7a00af4"], +Cell[1232910, 27244, 616, 12, 59, "Message",ExpressionUUID->"e7aa77c2-94e4-42fb-991f-eb708f0ed4d0"], +Cell[1233529, 27258, 616, 12, 59, "Message",ExpressionUUID->"735626a9-c990-4786-aca8-bb054e529600"], +Cell[1234148, 27272, 475, 10, 24, "Message",ExpressionUUID->"97277a48-befd-4753-ba75-6bd82095e181"], +Cell[1234626, 27284, 4261, 125, 315, "Output",ExpressionUUID->"30166ad9-b386-442e-9487-d4719d763844"] }, Open ]], Cell[CellGroupData[{ -Cell[1201372, 26565, 325, 7, 30, "Input",ExpressionUUID->"21b6219d-05c0-4ddd-9cee-81e8dc77f5b9"], -Cell[1201700, 26574, 2341, 54, 241, "Output",ExpressionUUID->"dd789237-b046-4472-a2b9-7cc379a533ec"] +Cell[1238924, 27414, 325, 7, 30, "Input",ExpressionUUID->"21b6219d-05c0-4ddd-9cee-81e8dc77f5b9"], +Cell[1239252, 27423, 2341, 54, 241, "Output",ExpressionUUID->"dd789237-b046-4472-a2b9-7cc379a533ec"] }, Open ]], Cell[CellGroupData[{ -Cell[1204078, 26633, 347, 9, 30, "Input",ExpressionUUID->"d4e11b97-c0e7-49a6-b774-0c224f705a4c"], -Cell[1204428, 26644, 375, 7, 50, "Output",ExpressionUUID->"8609604a-58aa-4ec7-9280-667efff9f76f"] +Cell[1241630, 27482, 347, 9, 30, "Input",ExpressionUUID->"d4e11b97-c0e7-49a6-b774-0c224f705a4c"], +Cell[1241980, 27493, 375, 7, 50, "Output",ExpressionUUID->"8609604a-58aa-4ec7-9280-667efff9f76f"] }, Open ]], Cell[CellGroupData[{ -Cell[1204840, 26656, 1065, 27, 30, "Input",ExpressionUUID->"4a92c39f-e2f9-4dcd-9c09-ad0ec5f61cc3"], -Cell[1205908, 26685, 1007, 25, 61, "Output",ExpressionUUID->"da793cfe-f57e-489a-9627-8aa18ebde23f"] +Cell[1242392, 27505, 1065, 27, 30, "Input",ExpressionUUID->"4a92c39f-e2f9-4dcd-9c09-ad0ec5f61cc3"], +Cell[1243460, 27534, 1007, 25, 61, "Output",ExpressionUUID->"da793cfe-f57e-489a-9627-8aa18ebde23f"] }, Open ]], -Cell[1206930, 26713, 615, 19, 73, "Input",ExpressionUUID->"80a88bfc-f138-4a3d-b20d-3375571c78e7"], +Cell[1244482, 27562, 615, 19, 73, "Input",ExpressionUUID->"80a88bfc-f138-4a3d-b20d-3375571c78e7"], Cell[CellGroupData[{ -Cell[1207570, 26736, 3416, 72, 115, "Input",ExpressionUUID->"83554498-db67-4f7c-a08c-b8ef5293c94e"], -Cell[1210989, 26810, 2087, 34, 79, "Message",ExpressionUUID->"8eae0674-3268-473e-82a7-2524170892db"], -Cell[1213079, 26846, 2086, 34, 79, "Message",ExpressionUUID->"2bacbe2a-25c3-4872-8b91-917f220f32d6"], -Cell[1215168, 26882, 2087, 34, 79, "Message",ExpressionUUID->"8f664c88-7d74-4c42-9f21-244b8bd6490b"], -Cell[1217258, 26918, 1529, 25, 24, "Message",ExpressionUUID->"85421859-0f2a-4551-bdc3-91352b140a75"] +Cell[1245122, 27585, 3416, 72, 115, "Input",ExpressionUUID->"83554498-db67-4f7c-a08c-b8ef5293c94e"], +Cell[1248541, 27659, 2087, 34, 79, "Message",ExpressionUUID->"8eae0674-3268-473e-82a7-2524170892db"], +Cell[1250631, 27695, 2086, 34, 79, "Message",ExpressionUUID->"2bacbe2a-25c3-4872-8b91-917f220f32d6"], +Cell[1252720, 27731, 2087, 34, 79, "Message",ExpressionUUID->"8f664c88-7d74-4c42-9f21-244b8bd6490b"], +Cell[1254810, 27767, 1529, 25, 24, "Message",ExpressionUUID->"85421859-0f2a-4551-bdc3-91352b140a75"] }, Open ]], -Cell[1218802, 26946, 423, 8, 30, "Input",ExpressionUUID->"084d1279-aa3d-4fad-95cd-f4a4d1c093f6"], +Cell[1256354, 27795, 423, 8, 30, "Input",ExpressionUUID->"084d1279-aa3d-4fad-95cd-f4a4d1c093f6"], Cell[CellGroupData[{ -Cell[1219250, 26958, 2746, 52, 94, "Input",ExpressionUUID->"c24ac525-3d0c-4be9-85c9-6f9878754fa0"], -Cell[1221999, 27012, 42552, 853, 384, "Output",ExpressionUUID->"bba53ef5-f4d2-4155-98b3-1c4b297c58dc"] +Cell[1256802, 27807, 2746, 52, 94, "Input",ExpressionUUID->"c24ac525-3d0c-4be9-85c9-6f9878754fa0"], +Cell[1259551, 27861, 42552, 853, 384, "Output",ExpressionUUID->"bba53ef5-f4d2-4155-98b3-1c4b297c58dc"] }, Open ]] }, Closed]], Cell[CellGroupData[{ -Cell[1264600, 27871, 279, 4, 37, "Subsubsection",ExpressionUUID->"d2e5cb97-1c43-4f7a-b03d-7df273aebdb5"], +Cell[1302152, 28720, 279, 4, 37, "Subsubsection",ExpressionUUID->"d2e5cb97-1c43-4f7a-b03d-7df273aebdb5"], Cell[CellGroupData[{ -Cell[1264904, 27879, 771, 21, 52, "Input",ExpressionUUID->"1de2e851-15fc-4577-8d1b-8be0d0828b6a"], -Cell[1265678, 27902, 216, 3, 34, "Output",ExpressionUUID->"ad094e44-8503-44c3-a469-10027f0fa11f"] +Cell[1302456, 28728, 771, 21, 52, "Input",ExpressionUUID->"1de2e851-15fc-4577-8d1b-8be0d0828b6a"], +Cell[1303230, 28751, 216, 3, 34, "Output",ExpressionUUID->"ad094e44-8503-44c3-a469-10027f0fa11f"] }, Open ]], -Cell[1265909, 27908, 251, 5, 30, "Input",ExpressionUUID->"f6d2096f-862a-4d9a-8d31-c18d5ec891d7"], +Cell[1303461, 28757, 251, 5, 30, "Input",ExpressionUUID->"f6d2096f-862a-4d9a-8d31-c18d5ec891d7"], Cell[CellGroupData[{ -Cell[1266185, 27917, 2565, 57, 115, "Input",ExpressionUUID->"b6ffd8d5-13a3-4483-bd53-450792b0d96d"], -Cell[1268753, 27976, 1427, 20, 34, "Output",ExpressionUUID->"3bbd13bb-16f9-494a-95b7-89616308fd41"], -Cell[1270183, 27998, 1613, 26, 38, "Output",ExpressionUUID->"38d41d17-a15a-4f27-bf55-ce857d576189"], -Cell[1271799, 28026, 1425, 20, 34, "Output",ExpressionUUID->"c61695c6-ca11-411b-907e-e9a354064039"] +Cell[1303737, 28766, 2565, 57, 115, "Input",ExpressionUUID->"b6ffd8d5-13a3-4483-bd53-450792b0d96d"], +Cell[1306305, 28825, 1427, 20, 34, "Output",ExpressionUUID->"3bbd13bb-16f9-494a-95b7-89616308fd41"], +Cell[1307735, 28847, 1613, 26, 38, "Output",ExpressionUUID->"38d41d17-a15a-4f27-bf55-ce857d576189"], +Cell[1309351, 28875, 1425, 20, 34, "Output",ExpressionUUID->"c61695c6-ca11-411b-907e-e9a354064039"] }, Open ]], -Cell[1273239, 28049, 266, 6, 30, "Input",ExpressionUUID->"e5feaf8b-9c93-4640-b43f-881da8f213d6"], +Cell[1310791, 28898, 266, 6, 30, "Input",ExpressionUUID->"e5feaf8b-9c93-4640-b43f-881da8f213d6"], Cell[CellGroupData[{ -Cell[1273530, 28059, 354, 6, 30, "Input",ExpressionUUID->"e56b6103-5896-45ad-891c-59f6b615664b"], -Cell[1273887, 28067, 980, 18, 55, "Output",ExpressionUUID->"17319094-d6fc-448f-8cf8-3a30f92aaaaa"] +Cell[1311082, 28908, 354, 6, 30, "Input",ExpressionUUID->"e56b6103-5896-45ad-891c-59f6b615664b"], +Cell[1311439, 28916, 980, 18, 55, "Output",ExpressionUUID->"17319094-d6fc-448f-8cf8-3a30f92aaaaa"] }, Open ]], Cell[CellGroupData[{ -Cell[1274904, 28090, 2312, 46, 115, "Input",ExpressionUUID->"23d86774-7f6c-4ec9-a62d-8f66c4bf0f04"], -Cell[1277219, 28138, 1180, 19, 77, "Output",ExpressionUUID->"b8f7c246-326b-451b-94d1-5d2cdb53f13e"] +Cell[1312456, 28939, 2312, 46, 115, "Input",ExpressionUUID->"23d86774-7f6c-4ec9-a62d-8f66c4bf0f04"], +Cell[1314771, 28987, 1180, 19, 77, "Output",ExpressionUUID->"b8f7c246-326b-451b-94d1-5d2cdb53f13e"] }, Open ]], Cell[CellGroupData[{ -Cell[1278436, 28162, 572, 15, 52, "Input",ExpressionUUID->"af27c407-f1d7-43dc-a5bd-bccc56a9ffaf"], -Cell[1279011, 28179, 513, 15, 55, "Output",ExpressionUUID->"beec92a5-c1ca-4a8e-ba25-e7e3417b00eb"] +Cell[1315988, 29011, 572, 15, 52, "Input",ExpressionUUID->"af27c407-f1d7-43dc-a5bd-bccc56a9ffaf"], +Cell[1316563, 29028, 513, 15, 55, "Output",ExpressionUUID->"beec92a5-c1ca-4a8e-ba25-e7e3417b00eb"] }, Open ]], Cell[CellGroupData[{ -Cell[1279561, 28199, 479, 12, 30, "Input",ExpressionUUID->"37e5122e-4452-4bc6-8773-e34f49e038dc"], -Cell[1280043, 28213, 6416, 124, 236, "Output",ExpressionUUID->"ca186576-1fb8-4886-8b7a-8be77a0e15e6"] +Cell[1317113, 29048, 479, 12, 30, "Input",ExpressionUUID->"37e5122e-4452-4bc6-8773-e34f49e038dc"], +Cell[1317595, 29062, 6416, 124, 236, "Output",ExpressionUUID->"ca186576-1fb8-4886-8b7a-8be77a0e15e6"] }, Open ]], -Cell[1286474, 28340, 441, 13, 53, "Input",ExpressionUUID->"1a6d4c44-3bbc-4dd5-9aa5-e6500ea74da2"], +Cell[1324026, 29189, 441, 13, 53, "Input",ExpressionUUID->"1a6d4c44-3bbc-4dd5-9aa5-e6500ea74da2"], Cell[CellGroupData[{ -Cell[1286940, 28357, 787, 18, 52, "Input",ExpressionUUID->"11f39284-9295-4260-a1bc-d1a6f0deecd7"], -Cell[1287730, 28377, 5389, 108, 234, "Output",ExpressionUUID->"ff9f582c-1028-4f34-a5fc-b1b8ee01894d"] +Cell[1324492, 29206, 787, 18, 52, "Input",ExpressionUUID->"11f39284-9295-4260-a1bc-d1a6f0deecd7"], +Cell[1325282, 29226, 5389, 108, 234, "Output",ExpressionUUID->"ff9f582c-1028-4f34-a5fc-b1b8ee01894d"] }, Open ]], Cell[CellGroupData[{ -Cell[1293156, 28490, 265, 6, 30, "Input",ExpressionUUID->"3668b5c0-0ca2-4aa3-9d0a-d69a6fffc0e0"], -Cell[1293424, 28498, 472, 10, 42, "Message",ExpressionUUID->"550e8580-f985-40c9-b446-170ead5459d2"], -Cell[1293899, 28510, 552, 14, 37, "Output",ExpressionUUID->"1590906b-c7ab-411b-9523-2acbc1aa9688"] +Cell[1330708, 29339, 265, 6, 30, "Input",ExpressionUUID->"3668b5c0-0ca2-4aa3-9d0a-d69a6fffc0e0"], +Cell[1330976, 29347, 472, 10, 42, "Message",ExpressionUUID->"550e8580-f985-40c9-b446-170ead5459d2"], +Cell[1331451, 29359, 552, 14, 37, "Output",ExpressionUUID->"1590906b-c7ab-411b-9523-2acbc1aa9688"] }, Open ]], Cell[CellGroupData[{ -Cell[1294488, 28529, 2699, 47, 73, "Input",ExpressionUUID->"00fe81c0-2c7a-4c9b-ada4-839f44d7998b"], -Cell[1297190, 28578, 618, 12, 59, "Message",ExpressionUUID->"2cebd512-e5e9-4d80-878d-c87d2cdf9a20"], -Cell[1297811, 28592, 616, 12, 59, "Message",ExpressionUUID->"5d68ad4a-4834-45b6-8ee5-aa9a272273b3"], -Cell[1298430, 28606, 616, 12, 59, "Message",ExpressionUUID->"bd70fca1-b941-443b-8152-fb6cb472ff74"], -Cell[1299049, 28620, 475, 10, 24, "Message",ExpressionUUID->"3ee3859c-76b4-4256-8e1c-31fde849f83f"], -Cell[1299527, 28632, 4261, 125, 315, "Output",ExpressionUUID->"53be62bf-fb3d-4d3e-bed4-2bd042882487"] +Cell[1332040, 29378, 2699, 47, 73, "Input",ExpressionUUID->"00fe81c0-2c7a-4c9b-ada4-839f44d7998b"], +Cell[1334742, 29427, 618, 12, 59, "Message",ExpressionUUID->"2cebd512-e5e9-4d80-878d-c87d2cdf9a20"], +Cell[1335363, 29441, 616, 12, 59, "Message",ExpressionUUID->"5d68ad4a-4834-45b6-8ee5-aa9a272273b3"], +Cell[1335982, 29455, 616, 12, 59, "Message",ExpressionUUID->"bd70fca1-b941-443b-8152-fb6cb472ff74"], +Cell[1336601, 29469, 475, 10, 24, "Message",ExpressionUUID->"3ee3859c-76b4-4256-8e1c-31fde849f83f"], +Cell[1337079, 29481, 4261, 125, 315, "Output",ExpressionUUID->"53be62bf-fb3d-4d3e-bed4-2bd042882487"] }, Open ]], Cell[CellGroupData[{ -Cell[1303825, 28762, 325, 7, 30, "Input",ExpressionUUID->"b5c1ee72-b9af-4ce7-a524-724520ada3dd"], -Cell[1304153, 28771, 2341, 54, 241, "Output",ExpressionUUID->"e69cac6d-af53-483e-8e02-4e46fd37dea3"] +Cell[1341377, 29611, 325, 7, 30, "Input",ExpressionUUID->"b5c1ee72-b9af-4ce7-a524-724520ada3dd"], +Cell[1341705, 29620, 2341, 54, 241, "Output",ExpressionUUID->"e69cac6d-af53-483e-8e02-4e46fd37dea3"] }, Open ]], Cell[CellGroupData[{ -Cell[1306531, 28830, 347, 9, 30, "Input",ExpressionUUID->"472a23d5-ee35-40f5-9290-113421c78588"], -Cell[1306881, 28841, 375, 7, 50, "Output",ExpressionUUID->"c4ed3252-bfee-4429-9189-6b096d28a071"] +Cell[1344083, 29679, 347, 9, 30, "Input",ExpressionUUID->"472a23d5-ee35-40f5-9290-113421c78588"], +Cell[1344433, 29690, 375, 7, 50, "Output",ExpressionUUID->"c4ed3252-bfee-4429-9189-6b096d28a071"] }, Open ]], Cell[CellGroupData[{ -Cell[1307293, 28853, 1065, 27, 30, "Input",ExpressionUUID->"ab984da8-b8d3-4483-802b-fa34ff1ae9fa"], -Cell[1308361, 28882, 1007, 25, 61, "Output",ExpressionUUID->"0d8a7f79-7764-4a53-82fc-2c87a3124794"] +Cell[1344845, 29702, 1065, 27, 30, "Input",ExpressionUUID->"ab984da8-b8d3-4483-802b-fa34ff1ae9fa"], +Cell[1345913, 29731, 1007, 25, 61, "Output",ExpressionUUID->"0d8a7f79-7764-4a53-82fc-2c87a3124794"] }, Open ]], -Cell[1309383, 28910, 615, 19, 73, "Input",ExpressionUUID->"25b2e966-2eeb-4a74-bf0d-7b7647ab0c6e"], +Cell[1346935, 29759, 615, 19, 73, "Input",ExpressionUUID->"25b2e966-2eeb-4a74-bf0d-7b7647ab0c6e"], Cell[CellGroupData[{ -Cell[1310023, 28933, 3416, 72, 115, "Input",ExpressionUUID->"a26277f8-e69d-47f7-8302-0256c14d0bb0"], -Cell[1313442, 29007, 2087, 34, 79, "Message",ExpressionUUID->"ec78464f-58bd-48a3-9320-36b9880495a0"], -Cell[1315532, 29043, 2086, 34, 79, "Message",ExpressionUUID->"803384a0-c67a-4674-af76-5d1a2c3e38cc"], -Cell[1317621, 29079, 2087, 34, 79, "Message",ExpressionUUID->"c11db11b-5eac-4faa-b285-31769b97ff00"], -Cell[1319711, 29115, 1529, 25, 24, "Message",ExpressionUUID->"97f1b32c-17a9-4164-86a0-eb1c952c3554"] +Cell[1347575, 29782, 3416, 72, 115, "Input",ExpressionUUID->"a26277f8-e69d-47f7-8302-0256c14d0bb0"], +Cell[1350994, 29856, 2087, 34, 79, "Message",ExpressionUUID->"ec78464f-58bd-48a3-9320-36b9880495a0"], +Cell[1353084, 29892, 2086, 34, 79, "Message",ExpressionUUID->"803384a0-c67a-4674-af76-5d1a2c3e38cc"], +Cell[1355173, 29928, 2087, 34, 79, "Message",ExpressionUUID->"c11db11b-5eac-4faa-b285-31769b97ff00"], +Cell[1357263, 29964, 1529, 25, 24, "Message",ExpressionUUID->"97f1b32c-17a9-4164-86a0-eb1c952c3554"] }, Open ]], -Cell[1321255, 29143, 423, 8, 30, "Input",ExpressionUUID->"aefcbe23-0acd-4657-aa2b-3613fb841a9d"], +Cell[1358807, 29992, 423, 8, 30, "Input",ExpressionUUID->"aefcbe23-0acd-4657-aa2b-3613fb841a9d"], Cell[CellGroupData[{ -Cell[1321703, 29155, 2746, 52, 94, "Input",ExpressionUUID->"94d5fec6-bf16-430c-a06b-e4119d75b61c"], -Cell[1324452, 29209, 42575, 854, 384, "Output",ExpressionUUID->"c71f1b50-4963-4d9f-b9a7-82e3194cfecd"] +Cell[1359255, 30004, 2746, 52, 94, "Input",ExpressionUUID->"94d5fec6-bf16-430c-a06b-e4119d75b61c"], +Cell[1362004, 30058, 42575, 854, 384, "Output",ExpressionUUID->"c71f1b50-4963-4d9f-b9a7-82e3194cfecd"] }, Open ]] }, Closed]], Cell[CellGroupData[{ -Cell[1367076, 30069, 303, 5, 37, "Subsubsection",ExpressionUUID->"5c80a4a6-f849-44aa-a902-4ac81e7aa863"], +Cell[1404628, 30918, 303, 5, 37, "Subsubsection",ExpressionUUID->"5c80a4a6-f849-44aa-a902-4ac81e7aa863"], Cell[CellGroupData[{ -Cell[1367404, 30078, 771, 21, 52, "Input",ExpressionUUID->"cb114895-7fe2-44e8-81fc-87e75e735342"], -Cell[1368178, 30101, 237, 3, 34, "Output",ExpressionUUID->"e734ce0e-e9ed-403f-b08a-a8d3b82e26c4"] +Cell[1404956, 30927, 771, 21, 52, "Input",ExpressionUUID->"cb114895-7fe2-44e8-81fc-87e75e735342"], +Cell[1405730, 30950, 237, 3, 34, "Output",ExpressionUUID->"e734ce0e-e9ed-403f-b08a-a8d3b82e26c4"] }, Open ]], Cell[CellGroupData[{ -Cell[1368452, 30109, 3640, 110, 199, "Input",ExpressionUUID->"bd7d4bbb-d0af-4d81-bf06-71456f164df5"], -Cell[1372095, 30221, 248, 4, 34, "Output",ExpressionUUID->"2de67864-6364-4dc2-82f7-83b0fcb8ea57"] +Cell[1406004, 30958, 3640, 110, 199, "Input",ExpressionUUID->"bd7d4bbb-d0af-4d81-bf06-71456f164df5"], +Cell[1409647, 31070, 248, 4, 34, "Output",ExpressionUUID->"2de67864-6364-4dc2-82f7-83b0fcb8ea57"] }, Open ]], Cell[CellGroupData[{ -Cell[1372380, 30230, 906, 24, 30, "Input",ExpressionUUID->"60d68403-d1d5-42cc-b093-93db823fe03f"], -Cell[1373289, 30256, 1401, 36, 96, "Output",ExpressionUUID->"63cb3e9d-ac71-4fc3-9b03-7de38e27fe5a"] +Cell[1409932, 31079, 906, 24, 30, "Input",ExpressionUUID->"60d68403-d1d5-42cc-b093-93db823fe03f"], +Cell[1410841, 31105, 1401, 36, 96, "Output",ExpressionUUID->"63cb3e9d-ac71-4fc3-9b03-7de38e27fe5a"] }, Open ]], -Cell[1374705, 30295, 949, 30, 115, "Input",ExpressionUUID->"936e1f71-ea64-43a2-9527-1cf7dc346a91"], +Cell[1412257, 31144, 949, 30, 115, "Input",ExpressionUUID->"936e1f71-ea64-43a2-9527-1cf7dc346a91"], Cell[CellGroupData[{ -Cell[1375679, 30329, 791, 18, 30, "Input",ExpressionUUID->"324b69d4-c96b-4711-a9f3-4ce2c74cfc9d"], -Cell[1376473, 30349, 1767, 41, 96, "Output",ExpressionUUID->"ac7e6b11-cfc7-47ae-9d98-82634809edd1"] +Cell[1413231, 31178, 791, 18, 30, "Input",ExpressionUUID->"324b69d4-c96b-4711-a9f3-4ce2c74cfc9d"], +Cell[1414025, 31198, 1767, 41, 96, "Output",ExpressionUUID->"ac7e6b11-cfc7-47ae-9d98-82634809edd1"] }, Open ]], Cell[CellGroupData[{ -Cell[1378277, 30395, 1599, 31, 30, "Input",ExpressionUUID->"a332b8bb-3e02-4c76-a3e1-19da0a159c96"], -Cell[1379879, 30428, 844, 16, 34, "Output",ExpressionUUID->"a63f1d21-ea83-4965-b72f-227c58b92f1b"] +Cell[1415829, 31244, 1599, 31, 30, "Input",ExpressionUUID->"a332b8bb-3e02-4c76-a3e1-19da0a159c96"], +Cell[1417431, 31277, 844, 16, 34, "Output",ExpressionUUID->"a63f1d21-ea83-4965-b72f-227c58b92f1b"] }, Open ]], Cell[CellGroupData[{ -Cell[1380760, 30449, 3373, 64, 115, "Input",ExpressionUUID->"c53dfb5b-a1aa-4ac0-bcac-c4ba5ef29693"], -Cell[1384136, 30515, 1421, 33, 126, "Output",ExpressionUUID->"6424e961-7b1c-4735-add1-355292ffb803"] +Cell[1418312, 31298, 3373, 64, 115, "Input",ExpressionUUID->"c53dfb5b-a1aa-4ac0-bcac-c4ba5ef29693"], +Cell[1421688, 31364, 1421, 33, 126, "Output",ExpressionUUID->"6424e961-7b1c-4735-add1-355292ffb803"] }, Open ]], Cell[CellGroupData[{ -Cell[1385594, 30553, 379, 8, 30, "Input",ExpressionUUID->"687399f1-42d4-45fe-846a-76025169c66f"], -Cell[1385976, 30563, 14099, 303, 244, "Output",ExpressionUUID->"a6e54410-bd44-48ac-ba27-956b97007c40"] +Cell[1423146, 31402, 379, 8, 30, "Input",ExpressionUUID->"687399f1-42d4-45fe-846a-76025169c66f"], +Cell[1423528, 31412, 14099, 303, 244, "Output",ExpressionUUID->"a6e54410-bd44-48ac-ba27-956b97007c40"] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[1400136, 30873, 156, 3, 54, "Subsection",ExpressionUUID->"47013bff-4a89-40e6-9c36-3b47c6c727d8"], +Cell[1437688, 31722, 156, 3, 54, "Subsection",ExpressionUUID->"47013bff-4a89-40e6-9c36-3b47c6c727d8"], Cell[CellGroupData[{ -Cell[1400317, 30880, 2101, 43, 115, "Input",ExpressionUUID->"e14283f2-7c42-4f2f-a5c8-f37ccf85f411"], -Cell[1402421, 30925, 1585, 25, 102, "Output",ExpressionUUID->"b8182651-fcf0-433e-9850-2087826d3f72"] +Cell[1437869, 31729, 2101, 43, 115, "Input",ExpressionUUID->"e14283f2-7c42-4f2f-a5c8-f37ccf85f411"], +Cell[1439973, 31774, 1585, 25, 102, "Output",ExpressionUUID->"b8182651-fcf0-433e-9850-2087826d3f72"] }, Open ]], Cell[CellGroupData[{ -Cell[1404043, 30955, 2411, 53, 115, "Input",ExpressionUUID->"9425448d-d2da-4568-b6c2-2d6dff68d46f"], -Cell[1406457, 31010, 940, 18, 42, "Message",ExpressionUUID->"40827970-1b7a-4bef-9aa1-1226d4289485"], -Cell[1407400, 31030, 938, 18, 42, "Message",ExpressionUUID->"814945bd-d9ff-4101-b3ce-37d5a56c4662"], -Cell[1408341, 31050, 939, 18, 42, "Message",ExpressionUUID->"d823d0c8-1931-4186-b6e5-0f9652c52f33"], -Cell[1409283, 31070, 600, 12, 24, "Message",ExpressionUUID->"174d04f5-beb3-4929-a772-1d4b6bcb5456"], -Cell[1409886, 31084, 730, 14, 59, "Message",ExpressionUUID->"d567a5fd-5339-47ba-adb4-ca24ac854fa2"], -Cell[1410619, 31100, 732, 14, 59, "Message",ExpressionUUID->"8725606f-ba25-4548-8906-c1f27e09aed4"] +Cell[1441595, 31804, 2411, 53, 115, "Input",ExpressionUUID->"9425448d-d2da-4568-b6c2-2d6dff68d46f"], +Cell[1444009, 31859, 940, 18, 42, "Message",ExpressionUUID->"40827970-1b7a-4bef-9aa1-1226d4289485"], +Cell[1444952, 31879, 938, 18, 42, "Message",ExpressionUUID->"814945bd-d9ff-4101-b3ce-37d5a56c4662"], +Cell[1445893, 31899, 939, 18, 42, "Message",ExpressionUUID->"d823d0c8-1931-4186-b6e5-0f9652c52f33"], +Cell[1446835, 31919, 600, 12, 24, "Message",ExpressionUUID->"174d04f5-beb3-4929-a772-1d4b6bcb5456"], +Cell[1447438, 31933, 730, 14, 59, "Message",ExpressionUUID->"d567a5fd-5339-47ba-adb4-ca24ac854fa2"], +Cell[1448171, 31949, 732, 14, 59, "Message",ExpressionUUID->"8725606f-ba25-4548-8906-c1f27e09aed4"] }, Open ]], Cell[CellGroupData[{ -Cell[1411388, 31119, 862, 26, 30, "Input",ExpressionUUID->"17f2ac2e-aeb5-4c89-8c27-51eb79160f57"], -Cell[1412253, 31147, 4813, 123, 394, "Output",ExpressionUUID->"25ca5e47-82fc-459d-8167-141f207aa487"] +Cell[1448940, 31968, 862, 26, 30, "Input",ExpressionUUID->"17f2ac2e-aeb5-4c89-8c27-51eb79160f57"], +Cell[1449805, 31996, 4813, 123, 394, "Output",ExpressionUUID->"25ca5e47-82fc-459d-8167-141f207aa487"] }, Open ]], Cell[CellGroupData[{ -Cell[1417103, 31275, 2801, 59, 115, "Input",ExpressionUUID->"c07326d6-32ab-417f-bad0-e3d2a8450919"], -Cell[1419907, 31336, 53546, 1072, 371, "Output",ExpressionUUID->"6bb2668f-d482-4eea-8433-a94f84b4c432"] +Cell[1454655, 32124, 2801, 59, 115, "Input",ExpressionUUID->"c07326d6-32ab-417f-bad0-e3d2a8450919"], +Cell[1457459, 32185, 53546, 1072, 371, "Output",ExpressionUUID->"6bb2668f-d482-4eea-8433-a94f84b4c432"] }, Open ]] }, Closed]] }, Closed]] -- GitLab