From 956158cdd20956333de7391930eccf4887955164 Mon Sep 17 00:00:00 2001 From: Emilio Pisanty Date: Fri, 21 Feb 2020 18:32:54 +0100 Subject: [PATCH] Fixed bug in the rendering of the usage message for ConstrainedDerivative. --- RB-SFA.m | 7 +- RB-SFA.nb | 262 ++++++++++++++++++++++++++++------------------------- RB-SFA.pdf | Bin 240871 -> 247634 bytes 3 files changed, 142 insertions(+), 127 deletions(-) diff --git a/RB-SFA.m b/RB-SFA.m index bbb4f91..9964151 100755 --- a/RB-SFA.m +++ b/RB-SFA.m @@ -47,7 +47,7 @@ (* ::Input::Initialization:: *) Begin["`Private`"]; -$RBSFAtimestamp="Wed 19 Feb 2020 16:47:05"; +$RBSFAtimestamp="Fri 21 Feb 2020 16:56:05"; End[]; @@ -900,10 +900,7 @@ (* ::Input::Initialization:: *) -ConstrainedDerivative::usage="ConstrainedDerivative[n][f][t,tt] calculates the nth derivative of f[t,tt] with respect to t under the constraint that \!\(\*SuperscriptBox[\"f\", TagBox[ - RowBox[{\"(\", - RowBox[{\"0\", \",\", \"1\"}], \")\"}], - Derivative],\nMultilineFunction->None]\)[t,tt]\[Congruent]0."; +ConstrainedDerivative::usage="ConstrainedDerivative[n][f][t,tt] calculates the nth derivative of f[t,tt] with respect to t under the constraint that Derivative[0,1][f][t,tt]\[Congruent]0."; Begin["`Private`"]; ConstrainedDerivative[n_][F_][te_,tte_]:=Block[{f,tts,t,tt}, diff --git a/RB-SFA.nb b/RB-SFA.nb index dcdf17a..3ded58c 100755 --- a/RB-SFA.nb +++ b/RB-SFA.nb @@ -177,8 +177,8 @@ Cell[BoxData[ RowBox[{"github", ".", "com"}], "/", "episanty"}], "/", "RB"}], "-", RowBox[{"SFA", "."}]}]}]}], "\[IndentingNewLine]", "*)"}]], "Input", CellGroupingRules->{GroupTogetherGrouping, 10000.}, - InitializationCell-> - True,ExpressionUUID->"82d38177-9df9-4b82-9d60-a29240b5c273"] + InitializationCell->True, + CellLabel->"In[1]:=",ExpressionUUID->"82d38177-9df9-4b82-9d60-a29240b5c273"] }, Closed]] }, Open ]] }, Open ]], @@ -201,8 +201,8 @@ Cell["Initialization", \ Cell[BoxData[ RowBox[{ RowBox[{"BeginPackage", "[", "\"\\"", "]"}], ";"}]], "Input", - InitializationCell-> - True,ExpressionUUID->"d8194a12-20ba-4527-9da4-5c21f77858c8"], + InitializationCell->True, + CellLabel->"In[2]:=",ExpressionUUID->"d8194a12-20ba-4527-9da4-5c21f77858c8"], Cell[CellGroupData[{ @@ -235,8 +235,8 @@ RB-SFA package.\>\""}], ";"}], "\[IndentingNewLine]", ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"aa97ee0f-f35a-441d-9482-ce45b1a816f6"], + InitializationCell->True, + CellLabel->"In[3]:=",ExpressionUUID->"aa97ee0f-f35a-441d-9482-ce45b1a816f6"], Cell[TextData[{ "Old syntax (in functional form ", @@ -268,8 +268,8 @@ Cell[BoxData[{ ")"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"32505096-dec4-4a2e-820c-3889286e3339"], + InitializationCell->True, + CellLabel->"In[8]:=",ExpressionUUID->"32505096-dec4-4a2e-820c-3889286e3339"], Cell[BoxData[ RowBox[{"\[IndentingNewLine]", @@ -352,13 +352,13 @@ Cell[BoxData[{ RowBox[{ RowBox[{"Begin", "[", "\"\<`Private`\>\"", "]"}], ";"}], "\n", RowBox[{ - RowBox[{"$RBSFAtimestamp", "=", "\"\\""}], + RowBox[{"$RBSFAtimestamp", "=", "\"\\""}], ";"}], "\n", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", InitializationCell->True, CellTags-> - "version-timestamp",ExpressionUUID->"18cb4418-4b77-47c4-a11a-c13ed0f4d198"] + "version-timestamp",ExpressionUUID->"6f0d67a2-a680-4036-896d-686eade35883"] }, Open ]], Cell[CellGroupData[{ @@ -372,8 +372,8 @@ Cell[BoxData[ RowBox[{"$RBSFAdirectory", "::", "usage"}], "=", "\"\<$RBSFAdirectory is the directory where the current RB-SFA package \ instance is located.\>\""}], ";"}]], "Input", - InitializationCell-> - True,ExpressionUUID->"c87f6883-8e5e-4a34-a1b9-2f3cdfa24230"], + InitializationCell->True, + CellLabel->"In[16]:=",ExpressionUUID->"c87f6883-8e5e-4a34-a1b9-2f3cdfa24230"], Cell[BoxData[{ RowBox[{ @@ -427,8 +427,9 @@ Cell[BoxData[{ ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"f4003c50-c4bf-43a7-96de-6f1292ddff7e"] + InitializationCell->True, + CellLabel-> + "In[17]:=",ExpressionUUID->"f4003c50-c4bf-43a7-96de-6f1292ddff7e"] }, Closed]], Cell[CellGroupData[{ @@ -446,8 +447,8 @@ package if there is one.\>\""}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"$RBSFAcommit", "::", "OS"}], "=", "\"\<$RBSFAcommit has only been tested on Linux.\>\""}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"fce25619-8923-4995-9cae-ebb712b0cd01"], + InitializationCell->True, + CellLabel->"In[20]:=",ExpressionUUID->"fce25619-8923-4995-9cae-ebb712b0cd01"], Cell[BoxData[{ RowBox[{ @@ -475,8 +476,9 @@ Cell[BoxData[{ ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"56b69d2c-3f13-4848-bcc7-6db05f85bf58"] + InitializationCell->True, + CellLabel-> + "In[22]:=",ExpressionUUID->"56b69d2c-3f13-4848-bcc7-6db05f85bf58"] }, Closed]] }, Open ]], @@ -516,8 +518,8 @@ Cell[BoxData[ "\[IndentingNewLine]", RowBox[{"Protect", "[", "ConstantArray", "]"}], ";"}]}], "\[IndentingNewLine]", "]"}], "]"}], ";"}]], "Input", - InitializationCell-> - True,ExpressionUUID->"b17f45d8-f79e-44fb-962a-3150163e90ce"], + InitializationCell->True, + CellLabel->"In[25]:=",ExpressionUUID->"b17f45d8-f79e-44fb-962a-3150163e90ce"], Cell["\<\ @@ -549,8 +551,9 @@ Cell[BoxData[{ RowBox[{"Protect", "[", "ConstantArray", "]"}], ";"}]}], "\[IndentingNewLine]", "]"}], "]"}], ";"}], "\[IndentingNewLine]", "]"}]}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"e564a731-456d-4803-96b2-4131cc9c0e13"] + InitializationCell->True, + CellLabel-> + "In[26]:=",ExpressionUUID->"e564a731-456d-4803-96b2-4131cc9c0e13"] }, Closed]], Cell[CellGroupData[{ @@ -593,8 +596,9 @@ RowBox[{RowBox[{\\\"Re\\\", \\\"[\\\", StyleBox[\\\"z\\\", \\\"TI\\\"], \\\"]\ RowBox[{"ReIm", ",", "Listable"}], "]"}], ";", "\[IndentingNewLine]", RowBox[{"Protect", "[", "ReIm", "]"}], ";"}]}], "\[IndentingNewLine]", "]"}]], "Input", - InitializationCell-> - True,ExpressionUUID->"210258ce-70de-4ba9-87ee-9923aa5119df"] + InitializationCell->True, + CellLabel-> + "In[28]:=",ExpressionUUID->"210258ce-70de-4ba9-87ee-9923aa5119df"] }, Closed]], Cell[CellGroupData[{ @@ -656,8 +660,8 @@ Values are valid associations.\>\""}], ";"}], "\[IndentingNewLine]", "]"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"6490e2f6-e54f-43dc-8bb2-c5241010d578"], + InitializationCell->True, + CellLabel->"In[29]:=",ExpressionUUID->"6490e2f6-e54f-43dc-8bb2-c5241010d578"], Cell[TextData[{ "The above function is taken from \ @@ -769,8 +773,9 @@ applied to an expression.\>\""}], ";", "\[IndentingNewLine]", ";"}]}], "\[IndentingNewLine]", "]"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"0f95b62d-806b-4d6d-aa99-eaf16d190717"] + InitializationCell->True, + CellLabel-> + "In[35]:=",ExpressionUUID->"0f95b62d-806b-4d6d-aa99-eaf16d190717"] }, Closed]] }, Open ]], @@ -889,8 +894,9 @@ factors of (\!\(\*SuperscriptBox[\(p\), \(2\)]\)+\!\(\*SuperscriptBox[\(\ "1"]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"1c6ff3c7-04d2-4a4c-80e7-6f6bf03987af"] + InitializationCell->True, + CellLabel-> + "In[39]:=",ExpressionUUID->"1c6ff3c7-04d2-4a4c-80e7-6f6bf03987af"] }, Closed]], Cell[CellGroupData[{ @@ -948,8 +954,9 @@ for a gaussian state of characteristic size 1/\[Kappa].\>\""}], SuperscriptBox["\[Kappa]", "2"]}]]}], "]"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"4fa8291a-2597-4d66-9ed8-83e16fd1d61f"] + InitializationCell->True, + CellLabel-> + "In[47]:=",ExpressionUUID->"4fa8291a-2597-4d66-9ed8-83e16fd1d61f"] }, Closed]], Cell[CellGroupData[{ @@ -1114,8 +1121,9 @@ does the same.\>\""}], ";"}], "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"e3180fac-994e-48ec-aa3f-c3a05bc1f046"] + InitializationCell->True, + CellLabel-> + "In[52]:=",ExpressionUUID->"e3180fac-994e-48ec-aa3f-c3a05bc1f046"] }, Closed]], Cell[CellGroupData[{ @@ -1250,8 +1258,8 @@ momentum-space wavefunction \[CapitalPsi](p)=\[LeftAngleBracket]p|nlm\ "pz"}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"36777044-5955-4a90-b29e-ffd80956d5eb"], + InitializationCell->True, + CellLabel->"In[57]:=",ExpressionUUID->"36777044-5955-4a90-b29e-ffd80956d5eb"], Cell[TextData[{ "Regularized version, removing the powers of ", @@ -1381,8 +1389,8 @@ the momentum-space wavefunction \[CapitalPsi](p)=\[LeftAngleBracket]p|nlm\ "pz"}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"c82ea7eb-ad85-42ac-b432-38bc2af975e3"], + InitializationCell->True, + CellLabel->"In[62]:=",ExpressionUUID->"c82ea7eb-ad85-42ac-b432-38bc2af975e3"], Cell[TextData[{ "\nUpsilon function, given by ", @@ -1503,8 +1511,9 @@ ionization potential \!\(\*SuperscriptBox[\(\[Kappa]\), \(2\)]\)/2.\>\""}], "pz"}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"866176ba-ca2f-4edd-995a-a377519480bf"] + InitializationCell->True, + CellLabel-> + "In[67]:=",ExpressionUUID->"866176ba-ca2f-4edd-995a-a377519480bf"] }, Closed]], Cell[CellGroupData[{ @@ -1566,8 +1575,8 @@ Cell[BoxData[{ ",", "l", ",", "m"}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"fc96c402-844b-40a8-9afb-d21a0b0502ea"], + InitializationCell->True, + CellLabel->"In[72]:=",ExpressionUUID->"fc96c402-844b-40a8-9afb-d21a0b0502ea"], Cell[TextData[{ "Regularized version, removing the powers of ", @@ -1626,8 +1635,9 @@ Cell[BoxData[{ ",", "l", ",", "m"}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"6d33da39-df8e-45ec-a2cb-d6d8c4ad890d"] + InitializationCell->True, + CellLabel-> + "In[76]:=",ExpressionUUID->"6d33da39-df8e-45ec-a2cb-d6d8c4ad890d"] }, Closed]] }, Open ]], @@ -1720,8 +1730,9 @@ total of num cycles and with linear ramps nRamp cycles long.\>\""}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"f253dc81-804b-4926-986d-da1c9cbefa99"] + InitializationCell->True, + CellLabel-> + "In[80]:=",ExpressionUUID->"f253dc81-804b-4926-986d-da1c9cbefa99"] }, Closed]], Cell[CellGroupData[{ @@ -1754,8 +1765,9 @@ num\!\(\*SuperscriptBox[\()\), \(power\)]\)\>\""}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"4e57843e-9a39-4d35-9aba-6afe6dd6b470"] + InitializationCell->True, + CellLabel-> + "In[84]:=",ExpressionUUID->"4e57843e-9a39-4d35-9aba-6afe6dd6b470"] }, Closed]] }, Open ]], @@ -1801,8 +1813,8 @@ indicated.\>\""}], ";"}], "\[IndentingNewLine]"}], "\[IndentingNewLine]", RowBox[{"Protect", "[", RowBox[{"PointsPerCycle", ",", "TotalCycles", ",", "CarrierFrequency"}], "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"8e199f90-2893-4ee3-ad5b-4fe4459907ba"], + InitializationCell->True, + CellLabel->"In[88]:=",ExpressionUUID->"8e199f90-2893-4ee3-ad5b-4fe4459907ba"], Cell[BoxData[{ RowBox[{ @@ -1816,8 +1828,8 @@ Cell[BoxData[{ ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"$DefaultCarrierFrequency", "=", "0.057"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"2ba142d6-ac2f-4076-b3cc-9d2e54c48e35"], + InitializationCell->True, + CellLabel->"In[94]:=",ExpressionUUID->"2ba142d6-ac2f-4076-b3cc-9d2e54c48e35"], Cell[CellGroupData[{ @@ -1849,11 +1861,12 @@ GetCarrierFrequency[\[Omega]] works for any input.\>\""}], ";"}], "optionvalue"}], "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{"End", "[", "]"}], "\[IndentingNewLine]"}]}]], "Input", - InitializationCell-> - True,ExpressionUUID->"ec4bd02f-f3d9-42e7-9ff9-c06e50730d97"], + InitializationCell->True, + CellLabel->"In[96]:=",ExpressionUUID->"ec4bd02f-f3d9-42e7-9ff9-c06e50730d97"], -Cell[BoxData["\<\"RBSFA`Private`\"\>"], \ -"Output",ExpressionUUID->"50fec9a4-81de-444a-aa4e-b326243fbd33"] +Cell[BoxData["\<\"RBSFA`Private`\"\>"], "Output", + CellLabel-> + "Out[99]=",ExpressionUUID->"c86b72f0-96b8-43b9-aeb1-a80c14cd39aa"] }, Open ]], Cell[TextData[{ @@ -1994,8 +2007,8 @@ Automatic.\>\""}], ";"}], "\[IndentingNewLine]", "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"834c56a9-6669-4e0e-a886-b2a0a575c973"] + InitializationCell->True, + CellLabel->"In[100]:=",ExpressionUUID->"834c56a9-6669-4e0e-a886-b2a0a575c973"] }, Closed]], Cell[CellGroupData[{ @@ -2036,8 +2049,8 @@ frequency, for the provided field duration and sampling options.\>\""}], "harmonicOrderAxis", "[", "options", "]"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"c793c8a3-78b5-4e74-b665-d3f90223e313"] + InitializationCell->True, + CellLabel->"In[109]:=",ExpressionUUID->"c793c8a3-78b5-4e74-b665-d3f90223e313"] }, Closed]], Cell[CellGroupData[{ @@ -2159,8 +2172,9 @@ LaserPeriods\>\""}], ";"}], "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"aa179fb0-64c6-461d-9367-109750ef2374"], + InitializationCell->True, + CellLabel-> + "In[114]:=",ExpressionUUID->"aa179fb0-64c6-461d-9367-109750ef2374"], Cell[BoxData[ RowBox[{"\[IndentingNewLine]", @@ -2554,8 +2568,8 @@ is taken.\>\""}], ";"}], "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"786461f0-6aaa-4f63-a758-930d93cd6ed4"] + InitializationCell->True, + CellLabel->"In[124]:=",ExpressionUUID->"786461f0-6aaa-4f63-a758-930d93cd6ed4"] }, Closed]], Cell[CellGroupData[{ @@ -2666,8 +2680,8 @@ axis to use.\>\""}], ";"}], "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"f7878917-41e7-4692-b91f-dd51c165fba9"] + InitializationCell->True, + CellLabel->"In[136]:=",ExpressionUUID->"f7878917-41e7-4692-b91f-dd51c165fba9"] }, Closed]], Cell[CellGroupData[{ @@ -2774,8 +2788,8 @@ DipoleList, separating the two circular polarizations.\>\""}], "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"9a3d4833-6f11-4bf6-ab8d-962a8d0c6db1"] + InitializationCell->True, + CellLabel->"In[143]:=",ExpressionUUID->"9a3d4833-6f11-4bf6-ab8d-962a8d0c6db1"] }, Closed]], Cell[CellGroupData[{ @@ -2876,8 +2890,8 @@ periods and nGateRamp ramp periods.\>\""}], ";"}], "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"c12870bb-f797-492a-b1cc-bd912c1b3801"] + InitializationCell->True, + CellLabel->"In[148]:=",ExpressionUUID->"c12870bb-f797-492a-b1cc-bd912c1b3801"] }, Closed]], Cell[CellGroupData[{ @@ -2925,8 +2939,8 @@ q-th ion of the specified Target, in atomic units.\>\""}], RowBox[{"Target", ",", "Charge"}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"99352a86-4d92-4475-8f97-b9096fd47592"] + InitializationCell->True, + CellLabel->"In[154]:=",ExpressionUUID->"99352a86-4d92-4475-8f97-b9096fd47592"] }, Closed]] }, Open ]], @@ -4436,8 +4450,8 @@ VectorPotentialGradient\[Rule]None.\>\""}], ";"}], "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"d56fe599-2eb1-483c-910d-4ae22a3f3c3d"] + InitializationCell->True, + CellLabel->"In[159]:=",ExpressionUUID->"d56fe599-2eb1-483c-910d-4ae22a3f3c3d"] }, Closed]], Cell[CellGroupData[{ @@ -4542,8 +4556,9 @@ zmin and zmax.\>\""}], ";"}], RowBox[{"Protect", "[", "Seeds", "]"}], ";"}], "\n", RowBox[{ RowBox[{"Protect", "[", "SeedGenerator", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"1f583d3e-c1a2-4e4b-bf45-3053e8ee6fa6"], + InitializationCell->True, + CellLabel-> + "In[190]:=",ExpressionUUID->"1f583d3e-c1a2-4e4b-bf45-3053e8ee6fa6"], Cell[BoxData[{ RowBox[{ @@ -4581,8 +4596,9 @@ specified workingPrecision in case the given tolerance fails to be numeric.\>\ "]"}]}], "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"f21b08cc-97f2-45a7-b509-6ba34911a4ce"], + InitializationCell->True, + CellLabel-> + "In[200]:=",ExpressionUUID->"f21b08cc-97f2-45a7-b509-6ba34911a4ce"], Cell[BoxData[{ RowBox[{ @@ -4810,8 +4826,8 @@ Cell[BoxData[{ "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"d386312f-769a-4725-8ba1-624cabcfba5d"] + InitializationCell->True, + CellLabel->"In[204]:=",ExpressionUUID->"d386312f-769a-4725-8ba1-624cabcfba5d"] }, Closed]], Cell[CellGroupData[{ @@ -4842,8 +4858,9 @@ zmin and zmax.\n\nRandomSobolComplexes[{{z1min,z1max},{z2min,z2max},\ \[Ellipsis]},n] generates a low-discrepancy Sobol sequence of n quasirandom \ complex numbers in the multi-dimensional rectangle with corners \ {z1min,z1max},{z2min,z2max},\[Ellipsis].\>\""}], ";"}]], "Input", - InitializationCell-> - True,ExpressionUUID->"9a612054-74db-4e4a-81ee-2c498c8d29b7"], + InitializationCell->True, + CellLabel-> + "In[208]:=",ExpressionUUID->"9a612054-74db-4e4a-81ee-2c498c8d29b7"], Cell[BoxData[{ RowBox[{ @@ -4912,8 +4929,8 @@ Cell[BoxData[{ "\[RightDoubleBracket]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"d8fad433-89d3-4fcb-83d2-432364a5ad7d"] + InitializationCell->True, + CellLabel->"In[209]:=",ExpressionUUID->"d8fad433-89d3-4fcb-83d2-432364a5ad7d"] }, Closed]], Cell[CellGroupData[{ @@ -4932,8 +4949,9 @@ RandomNiederreiterComplexes[{{z1min,z1max},{z2min,z2max},\[Ellipsis]},n] \ generates a low-discrepancy Niederreiter sequence of n quasirandom complex \ numbers in the multi-dimensional rectangle with corners \ {z1min,z1max},{z2min,z2max},\[Ellipsis].\>\""}], ";"}]], "Input", - InitializationCell-> - True,ExpressionUUID->"d2cc815c-5c66-4c63-bc56-b1b78e9c84eb"], + InitializationCell->True, + CellLabel-> + "In[213]:=",ExpressionUUID->"d2cc815c-5c66-4c63-bc56-b1b78e9c84eb"], Cell[BoxData[{ RowBox[{ @@ -5002,8 +5020,8 @@ Cell[BoxData[{ "\[RightDoubleBracket]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"aa10198a-c140-4b61-a45d-0d509f3e8145"] + InitializationCell->True, + CellLabel->"In[214]:=",ExpressionUUID->"aa10198a-c140-4b61-a45d-0d509f3e8145"] }, Closed]], Cell[CellGroupData[{ @@ -5021,8 +5039,9 @@ equally spaced complex numbers in the rectangle with corners zmin and zmax.\n\ generates a regular grid of about n equally spaced complex numbers in the \ multi-dimensional rectangle with corners {z1min,z1max},{z2min,z2max},\ \[Ellipsis].\>\""}], ";"}]], "Input", - InitializationCell-> - True,ExpressionUUID->"d9ac3e0e-a9ca-4e34-b31d-10403dc873a4"], + InitializationCell->True, + CellLabel-> + "In[218]:=",ExpressionUUID->"d9ac3e0e-a9ca-4e34-b31d-10403dc873a4"], Cell[BoxData[{ RowBox[{ @@ -5175,8 +5194,8 @@ Cell[BoxData[{ "\[RightDoubleBracket]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"268a18c6-13a5-4b1c-b4f5-2c7433cca305"] + InitializationCell->True, + CellLabel->"In[219]:=",ExpressionUUID->"268a18c6-13a5-4b1c-b4f5-2c7433cca305"] }, Closed]], Cell[CellGroupData[{ @@ -5219,8 +5238,9 @@ Cell[BoxData[{ ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"84577cda-a6c0-41f4-9388-cb7ef294142f"], + InitializationCell->True, + CellLabel-> + "In[223]:=",ExpressionUUID->"84577cda-a6c0-41f4-9388-cb7ef294142f"], Cell["\<\ @@ -5266,8 +5286,8 @@ Cell[BoxData[{ RowBox[{"Protect", "[", "RandomComplex", "]"}], ";"}], "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", "]"}]}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"d091e95c-c543-45e3-aadc-296b1adc3429"] + InitializationCell->True, + CellLabel->"In[228]:=",ExpressionUUID->"d091e95c-c543-45e3-aadc-296b1adc3429"] }, Closed]] }, Closed]], @@ -5399,10 +5419,8 @@ Cell[BoxData[{ RowBox[{ RowBox[{"ConstrainedDerivative", "::", "usage"}], "=", "\"\None]\)[t,tt]\[Congruent]0.\>\""}], ";"}], +f[t,tt] with respect to t under the constraint that Derivative[0,1][f][t,tt]\ +\[Congruent]0.\>\""}], ";"}], "\[IndentingNewLine]"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"Begin", "[", "\"\<`Private`\>\"", "]"}], @@ -5845,8 +5863,8 @@ difference procedures.\>\""}], ";"}], "]"}]}], "\[IndentingNewLine]"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"9e0c90e0-d258-437e-a135-aedd347a81ce"] + InitializationCell->True, + CellLabel->"In[235]:=",ExpressionUUID->"9e0c90e0-d258-437e-a135-aedd347a81ce"] }, Closed]], Cell[CellGroupData[{ @@ -6223,8 +6241,8 @@ for this case set RecalculateRoots to True.\>\""}], ";"}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"17c728c3-bdce-41fd-b746-d416a667aeb7"] + InitializationCell->True, + CellLabel->"In[248]:=",ExpressionUUID->"17c728c3-bdce-41fd-b746-d416a667aeb7"] }, Closed]], Cell[CellGroupData[{ @@ -6594,8 +6612,8 @@ and v can be any of \\\"RecombinationTime\\\", \\\"IonizationTime\\\" and \ "\[IndentingNewLine]", "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"fb3222ef-d737-477d-8d0c-075d517dbcec"] + InitializationCell->True, + CellLabel->"In[260]:=",ExpressionUUID->"fb3222ef-d737-477d-8d0c-075d517dbcec"] }, Closed]], Cell[CellGroupData[{ @@ -6968,8 +6986,8 @@ or their shorthands \\\"t\\\", \\\"tt\\\" and \\\"\[Tau]\\\" resp.\>\""}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"6f675c4d-243c-40b7-b9fe-358bcd6ba0c9"] + InitializationCell->True, + CellLabel->"In[269]:=",ExpressionUUID->"6f675c4d-243c-40b7-b9fe-358bcd6ba0c9"] }, Closed]] }, Open ]], @@ -7079,8 +7097,8 @@ specifies a list of labels to discard from the final output.\>\""}], ";"}], "\[IndentingNewLine]"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"377c1ba2-1730-4b71-a034-b07696fb852a"] + InitializationCell->True, + CellLabel->"In[276]:=",ExpressionUUID->"377c1ba2-1730-4b71-a034-b07696fb852a"] }, Closed]], Cell[CellGroupData[{ @@ -7151,8 +7169,8 @@ pairs of a classified set of saddle points.\>\""}], ";"}], "]"}]}], "\[IndentingNewLine]"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"2843384e-848d-4213-936f-0810ecf37512"] + InitializationCell->True, + CellLabel->"In[283]:=",ExpressionUUID->"2843384e-848d-4213-936f-0810ecf37512"] }, Closed]], Cell[CellGroupData[{ @@ -7221,8 +7239,8 @@ Cell[BoxData[{ ")"}]}]]]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"15f19319-f9bd-4d3d-8d5c-aa6a8f12e881"] + InitializationCell->True, + CellLabel->"In[289]:=",ExpressionUUID->"15f19319-f9bd-4d3d-8d5c-aa6a8f12e881"] }, Closed]], Cell[CellGroupData[{ @@ -7566,8 +7584,8 @@ is preferable to do this in a single go using ReperiodSaddles.\>\""}], ";"}], "\[IndentingNewLine]"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"065188be-5825-47ea-acfd-865235b317d9"] + InitializationCell->True, + CellLabel->"In[293]:=",ExpressionUUID->"065188be-5825-47ea-acfd-865235b317d9"] }, Closed]], Cell[CellGroupData[{ @@ -7742,8 +7760,8 @@ to unstructured evaluation.\>\""}], ";"}], "]"}]}], "\[IndentingNewLine]"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"aab14d09-daf6-4637-ba79-64cfaff7e0f2"] + InitializationCell->True, + CellLabel->"In[305]:=",ExpressionUUID->"aab14d09-daf6-4637-ba79-64cfaff7e0f2"] }, Closed]], Cell[CellGroupData[{ @@ -7980,8 +7998,8 @@ the saddle-point approximation for this set.\>\""}], ";"}], "\[IndentingNewLine]"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"End", "[", "]"}], ";"}]}], "Input", - InitializationCell-> - True,ExpressionUUID->"705a3007-cbea-4493-855c-342c294724e9"] + InitializationCell->True, + CellLabel->"In[314]:=",ExpressionUUID->"705a3007-cbea-4493-855c-342c294724e9"] }, Closed]] }, Open ]], @@ -8011,8 +8029,8 @@ Cell[BoxData[ RowBox[{ RowBox[{"DistributeDefinitions", "[", "\"\\"", "]"}], ";"}]], "Input", - InitializationCell-> - 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