HCAL_project/arb_act_funct.nb at ca60d64aa6d08b796c27f74a1b5d45afc544a8fb

Fork: 0
davide / HCAL_project
Find file
Newer
Older
HCAL_project / arb_act_funct.nb
Davide Lancierini on 26 Sep 2019 51 KB Update to latest version with arbitrary activation function
Raw Blame History
(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 11.3' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     53003,       1057]
NotebookOptionsPosition[     51255,       1018]
NotebookOutlinePosition[     51608,       1034]
CellTagsIndexPosition[     51565,       1031]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{

Cell[CellGroupData[{
Cell[BoxData[{
 RowBox[{
  RowBox[{"F", "[", "x_", "]"}], ":=", 
  RowBox[{"Max", "[", 
   RowBox[{
    RowBox[{"0.001", "*", "x"}], ",", 
    RowBox[{"Min", "[", 
     RowBox[{
      RowBox[{"6.12", "+", 
       RowBox[{"0.001", "*", "x"}]}], ",", "x"}], "]"}]}], 
   "]"}]}], "\[IndentingNewLine]", 
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"F", "[", "x", "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", 
     RowBox[{"-", "10"}], ",", 
     RowBox[{"+", "20"}]}], "}"}]}], "]"}]}], "Input",
 CellChangeTimes->{{3.7577667925285053`*^9, 3.7577668149383297`*^9}, {
  3.7577668506074743`*^9, 3.757766903098508*^9}, {3.757767602410262*^9, 
  3.757767602568593*^9}, {3.757768148554263*^9, 3.7577682153801622`*^9}, {
  3.7577691601019487`*^9, 3.7577691603141003`*^9}, {3.757828473700638*^9, 
  3.7578285421007557`*^9}, {3.757828693918935*^9, 3.75782869541588*^9}, {
  3.757828761767972*^9, 3.757828762019991*^9}, {3.7578354214131813`*^9, 
  3.757835497958188*^9}, {3.7582826826943827`*^9, 3.758282706258882*^9}, {
  3.758282745491208*^9, 3.758282817357716*^9}, {3.758285016173664*^9, 
  3.758285024088009*^9}, {3.772183756825553*^9, 3.772183778136739*^9}, {
  3.772183812227013*^9, 3.772183831523756*^9}},
 CellLabel->"In[21]:=",ExpressionUUID->"b345f780-c762-422b-bb72-4f3dcbf7d3d9"],

Cell[BoxData[
 FormBox[
  GraphicsBox[{{{{}, {}, 
      TagBox[
       {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
        Opacity[1.], LineBox[CompressedData["
1:eJwBEQPu/CFib1JlAgAAADAAAAACAAAAO9t06///I8CIt6Qy4XqEv9i5oe9J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         "]], 
        LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAmIQ/Uxkz5ym6c32MNo9Zm5LW8wCOP1pZkdjy66VcHpJ
13pbB+ttcJo/6tWe/ZN2wOkqTVUb+1e74LT/iVlWdjP3w+m/TIel51UfgdMr
HNZJzLl5Fk7/j3XiPON1A07/mOXLEvUWQX+6HvH/ef9NOP0sMP8r89VbcPqM
65yH1vF34fRZsd93rlo+hNOz/4VsdfV7Bqel01k2T7L+AKc9qvZ7a23/Cac3
9yueufiP0QFGS02M4ZDhYofT3iazLQ7t44bTVgLxC3NyBOC0cXiRgto5ITg9
07Qp65myKJxeYhvny6GHoDe4WhloWSDoE6Gfvub6IOhvpUmNX0sQdNA2pxks
xxA0lznzMaUMMTgtZn9/hUsRglZ0392dVoOgLcKLA1dNQNBp5Y/vGO5E0Ie2
H/7swCUOp6stWhTj1yDoU+4eey5vRdBS4TzhHvsR9I7SKT2GlxD0l01LvjP/
QNDOhzImVTBKwOlJF3V033IhaIMPW5KuySLoHN2jZ1c4I+jdNp0Zsr4ImsvH
l3lSGIKOjBacx5aAoFdkXbWozkTQ3ytnXn5fhKA5tPYWR5cjaABfdVlT
         "]], 
        LineBox[CompressedData["
1:eJwV0X1QE3QYB/AdIW3JIYdTfxugNNgU0b39cFmIPggHguLJSwlFW+CQIlGO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         "]]},
       Annotation[#, 
        "Charting`Private`Tag$3142#1"]& ], {}}, {{}, {}, {}}}, {}, {}},
   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
   Axes->{True, True},
   AxesLabel->{None, None},
   AxesOrigin->{0, 0},
   DisplayFunction->Identity,
   Frame->{{False, False}, {False, False}},
   FrameLabel->{{None, None}, {None, None}},
   FrameTicks->{{Automatic, 
      Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
      Charting`ScaledFrameTicks[{Identity, Identity}]}},
   GridLines->{None, None},
   GridLinesStyle->Directive[
     GrayLevel[0.5, 0.4]],
   ImagePadding->All,
   Method->{
    "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> 
     AbsolutePointSize[6], "ScalingFunctions" -> None, 
     "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
         (Identity[#]& )[
          Part[#, 1]], 
         (Identity[#]& )[
          Part[#, 2]]}& ), "CopiedValueFunction" -> ({
         (Identity[#]& )[
          Part[#, 1]], 
         (Identity[#]& )[
          Part[#, 2]]}& )}},
   PlotRange->{{-10, 20}, {-0.009999999387755101, 6.139999999387755}},
   PlotRangeClipping->True,
   PlotRangePadding->{{
      Scaled[0.02], 
      Scaled[0.02]}, {
      Scaled[0.05], 
      Scaled[0.05]}},
   Ticks->{Automatic, Automatic}], TraditionalForm]], "Output",
 CellChangeTimes->{
  3.758282757552134*^9, {3.758282788914091*^9, 3.758282817859563*^9}, {
   3.758285017755877*^9, 3.7582850250071774`*^9}, 3.7721836887928953`*^9, {
   3.7721837601872807`*^9, 3.772183778656546*^9}, {3.772183815273117*^9, 
   3.772183831834888*^9}},
 CellLabel->"Out[22]=",ExpressionUUID->"46789aab-38ca-4d38-86ae-0d31fd88bfd6"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"D", "[", 
  RowBox[{
   RowBox[{"F", "[", "x", "]"}], ",", "x"}], "]"}]], "Input",
 CellChangeTimes->{{3.757769150843001*^9, 3.757769154243264*^9}},
 CellLabel->"In[3]:=",ExpressionUUID->"8e07609f-09e3-40d7-af74-38b08a5e8f91"],

Cell[BoxData[
 FormBox[
  TagBox[GridBox[{
     {"\[Piecewise]", GridBox[{
        {"0", 
         RowBox[{"x", "<", "0"}]},
        {"1", 
         RowBox[{"0", "<", "x", "<", 
          FractionBox["153", "25"]}]},
        {"0", 
         RowBox[{"x", ">", 
          FractionBox["153", "25"]}]},
        {"Indeterminate", 
         TagBox["True",
          "PiecewiseDefault",
          AutoDelete->True]}
       },
       AllowedDimensions->{2, Automatic},
       Editable->True,
       GridBoxAlignment->{
        "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}},
          "RowsIndexed" -> {}},
       GridBoxItemSize->{
        "Columns" -> {{Automatic}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
         "RowsIndexed" -> {}},
       GridBoxSpacings->{"Columns" -> {
           Offset[0.27999999999999997`], {
            Offset[0.84]}, 
           Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
           Offset[0.2], {
            Offset[0.4]}, 
           Offset[0.2]}, "RowsIndexed" -> {}},
       Selectable->True]}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxItemSize->{
     "Columns" -> {{Automatic}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.35]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}],
   "Piecewise",
   DeleteWithContents->True,
   Editable->False,
   SelectWithContents->True,
   Selectable->False], TraditionalForm]], "Output",
 CellChangeTimes->{{3.757769154558042*^9, 3.7577691626113*^9}, {
   3.757769617898608*^9, 3.7577696533545313`*^9}, 3.7578287200170727`*^9, 
   3.757828765494636*^9, 3.757835435982698*^9, 3.7578355211607018`*^9, 
   3.7721836915604553`*^9},
 CellLabel->"Out[3]=",ExpressionUUID->"72823a99-8940-40bd-ba34-c77fb08f6e38"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{"%", ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", 
     RowBox[{"-", "10"}], ",", 
     RowBox[{"+", "20"}]}], "}"}], ",", 
   RowBox[{"PlotRange", "\[RuleDelayed]", "All"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.757769607871423*^9, 3.757769651885653*^9}},
 CellLabel->"In[4]:=",ExpressionUUID->"755b5a3a-b723-4917-b599-cbfec71b6ba8"],

Cell[BoxData[
 FormBox[
  GraphicsBox[{{{{}, {}, 
      TagBox[
       {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
        Opacity[1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAGIQbX275PX//8oHGKDgxs6F7z1/I/hlM859nvwNwd8Q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         "]], LineBox[CompressedData["
1:eJxTTMoPSmViYGAQBWIQ/Uxkz5ym6c32DGDwwf7TzI7Gll0r4fwlXettHay3
wfkrHNZJzLl5Fs7/H+vEecbrBpw/+1/IVle/Z3C+dDrL5knWH+B8j6r93lrb
f8L5m/sVz1z8x+gA40tNjOGQ4WKH871NZlsc2scN51sJxC/MyRGA843DixTU
zgnB+TNNm7KeKYvC+VzmzMeUMsTg/GqLFsX4NeJw/pdNS74z/0Dwc3SPnl3h
LIHQ7+PLPCkMwV+RddWiOhPBL9wW3yZaiOADAJ1uYBo=
         "]], 
        LineBox[CompressedData["
1:eJxTTMoPSmViYGCwBWIQ3Vr0h2Nti4QDAxQ8Xf50sW8/gm+yfaXdoRkIfsux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         "]]},
       Annotation[#, 
        "Charting`Private`Tag$2681#1"]& ], {}}, {{}, {}, {}}}, {}, {}},
   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
   Axes->{True, True},
   AxesLabel->{None, None},
   AxesOrigin->{0, 0},
   DisplayFunction->Identity,
   Frame->{{False, False}, {False, False}},
   FrameLabel->{{None, None}, {None, None}},
   FrameTicks->{{Automatic, 
      Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
      Charting`ScaledFrameTicks[{Identity, Identity}]}},
   GridLines->{None, None},
   GridLinesStyle->Directive[
     GrayLevel[0.5, 0.4]],
   ImagePadding->All,
   Method->{
    "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> 
     AbsolutePointSize[6], "ScalingFunctions" -> None, 
     "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
         (Identity[#]& )[
          Part[#, 1]], 
         (Identity[#]& )[
          Part[#, 2]]}& ), "CopiedValueFunction" -> ({
         (Identity[#]& )[
          Part[#, 1]], 
         (Identity[#]& )[
          Part[#, 2]]}& )}},
   PlotRange->{All, All},
   PlotRangeClipping->True,
   PlotRangePadding->{{
      Scaled[0.02], 
      Scaled[0.02]}, {
      Scaled[0.05], 
      Scaled[0.05]}},
   Ticks->{Automatic, Automatic}], TraditionalForm]], "Output",
 CellChangeTimes->{{3.757769608419174*^9, 3.7577696543386173`*^9}, 
   3.757828721891801*^9, 3.757828766940044*^9, 3.757835437374585*^9, 
   3.7578355225401373`*^9, 3.772183696745397*^9},
 CellLabel->"Out[4]=",ExpressionUUID->"a724236f-251a-42ae-affa-770d3b405a37"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"G", "[", "x_", "]"}], ":=", " ", 
  FractionBox["6120", 
   RowBox[{"1", "+", 
    RowBox[{"Exp", "[", 
     RowBox[{
      RowBox[{"-", "x"}], "+", "5"}], "]"}]}]]}]], "Input",
 CellChangeTimes->{{3.758276129142617*^9, 3.758276147298856*^9}, {
  3.758276184070009*^9, 3.758276226521646*^9}, {3.758276282501145*^9, 
  3.758276285868677*^9}, {3.75828118360719*^9, 3.758281185012753*^9}, {
  3.7582847078689938`*^9, 3.758284710918268*^9}, {3.758285046311775*^9, 
  3.7582850466003857`*^9}},
 CellLabel->"In[5]:=",ExpressionUUID->"31e3dfa2-15a7-4036-b188-62331ca14f94"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"G", "[", "x", "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", 
     RowBox[{"-", "10"}], ",", 
     RowBox[{"+", "20"}]}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.75827615586591*^9, 3.7582761561554623`*^9}, {
   3.758281196739649*^9, 3.758281202092382*^9}, {3.758281304164719*^9, 
   3.75828132617336*^9}, 3.75828137114268*^9, {3.758284712194335*^9, 
   3.758284717316959*^9}},
 CellLabel->"In[6]:=",ExpressionUUID->"89e2d575-eabc-4561-9cef-87861999c7e7"],

Cell[BoxData[
 FormBox[
  GraphicsBox[{{{}, {}, 
     TagBox[
      {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
       Opacity[1.], LineBox[CompressedData["
1:eJwd13c8Ve8fAHAzI9l7c+19SYXyfIooyYpIRimjCMnIHllpkCR8W0ays28k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        "]]},
      Annotation[#, "Charting`Private`Tag$2747#1"]& ]}, {}, {}},
   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
   Axes->{True, True},
   AxesLabel->{None, None},
   AxesOrigin->{0, 0},
   DisplayFunction->Identity,
   Frame->{{False, False}, {False, False}},
   FrameLabel->{{None, None}, {None, None}},
   FrameTicks->{{Automatic, 
      Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
      Charting`ScaledFrameTicks[{Identity, Identity}]}},
   GridLines->{None, None},
   GridLinesStyle->Directive[
     GrayLevel[0.5, 0.4]],
   ImagePadding->All,
   Method->{
    "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> 
     AbsolutePointSize[6], "ScalingFunctions" -> None, 
     "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
         (Identity[#]& )[
          Part[#, 1]], 
         (Identity[#]& )[
          Part[#, 2]]}& ), "CopiedValueFunction" -> ({
         (Identity[#]& )[
          Part[#, 1]], 
         (Identity[#]& )[
          Part[#, 2]]}& )}},
   PlotRange->{{-10, 20}, {0., 6119.998127877226}},
   PlotRangeClipping->True,
   PlotRangePadding->{{
      Scaled[0.02], 
      Scaled[0.02]}, {
      Scaled[0.05], 
      Scaled[0.05]}},
   Ticks->{Automatic, Automatic}], TraditionalForm]], "Output",
 CellChangeTimes->{3.758281326635113*^9, 3.758281371377243*^9, 
  3.7582847176775627`*^9, 3.758285048877262*^9, 3.7721837026679497`*^9},
 CellLabel->"Out[6]=",ExpressionUUID->"8ffbcc70-de1b-4e04-b51f-0cc52b8f204f"]
}, Open  ]],

Cell[BoxData[
 RowBox[{"6", "*", "G"}]], "Input",
 CellChangeTimes->{{3.758281191007758*^9, 
  3.7582811918252277`*^9}},ExpressionUUID->"23a7d6e0-f7d1-43e1-8301-\
83d26edf4abc"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"D", "[", 
  RowBox[{
   RowBox[{"G", "[", "x", "]"}], ",", "x"}], "]"}]], "Input",
 CellChangeTimes->{{3.757769150843001*^9, 3.757769154243264*^9}, {
  3.758276581945362*^9, 3.758276583075118*^9}},
 CellLabel->"In[7]:=",ExpressionUUID->"f784ccf6-07f5-4576-8b62-c9c1e85c04a3"],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{"6120", " ", 
    SuperscriptBox["\[ExponentialE]", 
     RowBox[{"5", "-", "x"}]]}], 
   SuperscriptBox[
    RowBox[{"(", 
     RowBox[{
      SuperscriptBox["\[ExponentialE]", 
       RowBox[{"5", "-", "x"}]], "+", "1"}], ")"}], "2"]], 
  TraditionalForm]], "Output",
 CellChangeTimes->{{3.757769154558042*^9, 3.7577691626113*^9}, {
   3.757769617898608*^9, 3.7577696533545313`*^9}, 3.7578287200170727`*^9, 
   3.757828765494636*^9, 3.757835435982698*^9, 3.7578355211607018`*^9, 
   3.758276583311789*^9, 3.772183706682643*^9},
 CellLabel->"Out[7]=",ExpressionUUID->"0c16b6ef-6d4f-4e30-b17d-83880a510a5a"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{"%", ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", 
     RowBox[{"-", "10"}], ",", 
     RowBox[{"+", "20"}]}], "}"}], ",", 
   RowBox[{"PlotRange", "\[RuleDelayed]", "All"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.757769607871423*^9, 3.757769651885653*^9}},
 CellLabel->"In[8]:=",ExpressionUUID->"38630a6f-4f21-4ca0-a2c0-3d40bbce384d"],

Cell[BoxData[
 FormBox[
  GraphicsBox[{{{}, {}, 
     TagBox[
      {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], 
       Opacity[1.], LineBox[CompressedData["
1:eJwtm3c419/7x22RbDIz3vZ+kwrl3LL3TvYeley9yfqEsqlUSEpKVoXk/VK2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        "]]},
      Annotation[#, "Charting`Private`Tag$2806#1"]& ]}, {}, {}},
   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
   Axes->{True, True},
   AxesLabel->{None, None},
   AxesOrigin->{0, 0},
   DisplayFunction->Identity,
   Frame->{{False, False}, {False, False}},
   FrameLabel->{{None, None}, {None, None}},
   FrameTicks->{{Automatic, 
      Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
      Charting`ScaledFrameTicks[{Identity, Identity}]}},
   GridLines->{None, None},
   GridLinesStyle->Directive[
     GrayLevel[0.5, 0.4]],
   ImagePadding->All,
   Method->{
    "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> 
     AbsolutePointSize[6], "ScalingFunctions" -> None, 
     "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
         (Identity[#]& )[
          Part[#, 1]], 
         (Identity[#]& )[
          Part[#, 2]]}& ), "CopiedValueFunction" -> ({
         (Identity[#]& )[
          Part[#, 1]], 
         (Identity[#]& )[
          Part[#, 2]]}& )}},
   PlotRange->{All, All},
   PlotRangeClipping->True,
   PlotRangePadding->{{
      Scaled[0.02], 
      Scaled[0.02]}, {
      Scaled[0.05], 
      Scaled[0.05]}},
   Ticks->{Automatic, Automatic}], TraditionalForm]], "Output",
 CellChangeTimes->{{3.757769608419174*^9, 3.7577696543386173`*^9}, 
   3.757828721891801*^9, 3.757828766940044*^9, 3.757835437374585*^9, 
   3.7578355225401373`*^9, 3.758276589466311*^9, 3.772183708980582*^9},
 CellLabel->"Out[8]=",ExpressionUUID->"2a2f4242-8fc7-4862-8f23-02243204dfb4"]
}, Open  ]]
},
WindowSize->{1680, 934},
WindowMargins->{{0, Automatic}, {Automatic, 0}},
FrontEndVersion->"11.3 for Mac OS X x86 (32-bit, 64-bit Kernel) (March 5, \
2018)",
StyleDefinitions->"Default.nb"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[CellGroupData[{
Cell[580, 22, 1288, 28, 52, "Input",ExpressionUUID->"b345f780-c762-422b-bb72-4f3dcbf7d3d9"],
Cell[1871, 52, 4880, 101, 244, "Output",ExpressionUUID->"46789aab-38ca-4d38-86ae-0d31fd88bfd6"]
}, Open  ]],
Cell[CellGroupData[{
Cell[6788, 158, 250, 5, 30, "Input",ExpressionUUID->"8e07609f-09e3-40d7-af74-38b08a5e8f91"],
Cell[7041, 165, 2068, 56, 104, "Output",ExpressionUUID->"72823a99-8940-40bd-ba34-c77fb08f6e38"]
}, Open  ]],
Cell[CellGroupData[{
Cell[9146, 226, 384, 9, 30, "Input",ExpressionUUID->"755b5a3a-b723-4917-b599-cbfec71b6ba8"],
Cell[9533, 237, 3455, 77, 244, "Output",ExpressionUUID->"a724236f-251a-42ae-affa-770d3b405a37"]
}, Open  ]],
Cell[13003, 317, 601, 13, 50, "Input",ExpressionUUID->"31e3dfa2-15a7-4036-b188-62331ca14f94"],
Cell[CellGroupData[{
Cell[13629, 334, 527, 12, 30, "Input",ExpressionUUID->"89e2d575-eabc-4561-9cef-87861999c7e7"],
Cell[14159, 348, 16757, 292, 244, "Output",ExpressionUUID->"8ffbcc70-de1b-4e04-b51f-0cc52b8f204f"]
}, Open  ]],
Cell[30931, 643, 177, 4, 30, "Input",ExpressionUUID->"23a7d6e0-f7d1-43e1-8301-83d26edf4abc"],
Cell[CellGroupData[{
Cell[31133, 651, 299, 6, 30, "Input",ExpressionUUID->"f784ccf6-07f5-4576-8b62-c9c1e85c04a3"],
Cell[31435, 659, 657, 16, 61, "Output",ExpressionUUID->"0c16b6ef-6d4f-4e30-b17d-83880a510a5a"]
}, Open  ]],
Cell[CellGroupData[{
Cell[32129, 680, 384, 9, 30, "Input",ExpressionUUID->"38630a6f-4f21-4ca0-a2c0-3d40bbce384d"],
Cell[32516, 691, 18723, 324, 244, "Output",ExpressionUUID->"2a2f4242-8fc7-4862-8f23-02243204dfb4"]
}, Open  ]]
}
]
*)