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authorJaron Kent-Dobias <jaron@kent-dobias.com>2020-02-14 17:25:34 -0500
committerJaron Kent-Dobias <jaron@kent-dobias.com>2020-02-14 17:25:34 -0500
commit14875cd2fce75eb5454ffe6989f886d28bd2656b (patch)
tree3163e33d542c0d6a397d1e29dcd4408bd14c4134
parentfbfe2db366a7b2fb13483a76e8032897c4a29f23 (diff)
downloadmma-14875cd2fce75eb5454ffe6989f886d28bd2656b.tar.gz
mma-14875cd2fce75eb5454ffe6989f886d28bd2656b.tar.bz2
mma-14875cd2fce75eb5454ffe6989f886d28bd2656b.zip
Analyzed new n = 16 data, working around Interpolation problem.
-rw-r--r--tempering_analysis.nb2633
1 files changed, 1630 insertions, 1003 deletions
diff --git a/tempering_analysis.nb b/tempering_analysis.nb
index c0b147a..80e02b2 100644
--- a/tempering_analysis.nb
+++ b/tempering_analysis.nb
@@ -10,10 +10,10 @@
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
-NotebookDataLength[ 347061, 6793]
-NotebookOptionsPosition[ 340951, 6692]
-NotebookOutlinePosition[ 341285, 6707]
-CellTagsIndexPosition[ 341242, 6704]
+NotebookDataLength[ 379721, 7420]
+NotebookOptionsPosition[ 372668, 7302]
+NotebookOutlinePosition[ 373035, 7318]
+CellTagsIndexPosition[ 372992, 7315]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
@@ -334,8 +334,15 @@ Cell[BoxData[
RowBox[{"0", ",", "0"}], "}"}]}], "]"}]}], "]"}], "[", "x",
"]"}]}]], "Input",
CellChangeTimes->{{3.78981937873456*^9, 3.789819402196154*^9},
- 3.789819474816937*^9},
- CellLabel->"In[9]:=",ExpressionUUID->"9b0c3339-71cd-41f6-9ef3-ca7bd5b2e440"],
+ 3.789819474816937*^9, {3.790681092801322*^9, 3.790681117801856*^9}, {
+ 3.790681180513014*^9, 3.7906811931278267`*^9}, {3.790681242639571*^9,
+ 3.790681258207963*^9}, {3.7906812901132507`*^9, 3.790681290231492*^9}, {
+ 3.790681402002227*^9, 3.790681423050158*^9}, {3.790685542851465*^9,
+ 3.790685542953432*^9}, {3.790685591570828*^9, 3.790685622587248*^9}, {
+ 3.7906857070679502`*^9, 3.7906857098174353`*^9}, {3.790686466475259*^9,
+ 3.7906865000258904`*^9}, {3.790686531395797*^9, 3.790686531553914*^9}},
+ CellLabel->
+ "In[263]:=",ExpressionUUID->"9b0c3339-71cd-41f6-9ef3-ca7bd5b2e440"],
Cell[BoxData[
RowBox[{
@@ -365,7 +372,8 @@ Cell[BoxData[
3.784992167089695*^9}, {3.784992239922765*^9, 3.784992242761147*^9}, {
3.7849989835196743`*^9, 3.784998984447055*^9}, {3.785000974761281*^9,
3.785000975480179*^9}, {3.789830929032741*^9, 3.789830929207098*^9}},
- CellLabel->"In[10]:=",ExpressionUUID->"a1830ef0-911d-442d-b5d2-b62c202fce89"],
+ CellLabel->
+ "In[114]:=",ExpressionUUID->"a1830ef0-911d-442d-b5d2-b62c202fce89"],
Cell[BoxData[
RowBox[{
@@ -381,7 +389,8 @@ Cell[BoxData[
3.789818328048049*^9, 3.789818328991467*^9}, {3.78981865828652*^9,
3.789818665814815*^9}, {3.789819419187801*^9, 3.7898194204672337`*^9}, {
3.789831192249136*^9, 3.789831192735342*^9}},
- CellLabel->"In[11]:=",ExpressionUUID->"c5d823f9-e85c-4b3b-b05c-3154ec28aa66"],
+ CellLabel->
+ "In[115]:=",ExpressionUUID->"c5d823f9-e85c-4b3b-b05c-3154ec28aa66"],
Cell[BoxData[
RowBox[{
@@ -394,40 +403,38 @@ Cell[BoxData[
RowBox[{
RowBox[{"{",
RowBox[{
- RowBox[{"s", "=",
- RowBox[{
- RowBox[{"Sf", "[", "dat", "]"}], "[", "x", "]"}]}], ",",
RowBox[{"n", "=",
RowBox[{"dat", "[", "\"\<n\>\"", "]"}]}], ",", "\[Beta]", ",",
RowBox[{"xmax", "=",
RowBox[{"dat", "[", "\"\<\[Beta]1\>\"", "]"}]}]}], "}"}], ",",
"\[IndentingNewLine]",
- RowBox[{"NonlinearModelFit", "[",
+ RowBox[{"Solve", "[",
RowBox[{
- RowBox[{"Table", "[",
- RowBox[{
- RowBox[{"{",
- RowBox[{"x", ",", "s"}], "}"}], ",",
- RowBox[{"{",
- RowBox[{"x", ",",
- RowBox[{"xmax", "-", "\[CapitalDelta]x"}], ",", "xmax", ",",
- "\[Delta]x"}], "}"}]}], "]"}], ",",
RowBox[{
RowBox[{"(",
RowBox[{
- RowBox[{"logZ0", "[", "n", "]"}], "-",
RowBox[{
- RowBox[{"logZ", "[", "n", "]"}], "[", "\[Beta]", "]"}]}], ")"}],
- "/",
- SuperscriptBox["n", "2"]}], ",",
- RowBox[{"logN", "[", "n", "]"}], ",", "\[Beta]"}], "]"}]}],
- "\[IndentingNewLine]", "]"}]}], "]"}]}]], "Input",
+ RowBox[{"Sf", "[", "dat", "]"}], "[", "x", "]"}], "/.",
+ RowBox[{"{",
+ RowBox[{"x", "\[Rule]", "xmax"}], "}"}]}], ")"}], "==",
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{"logZ0", "[", "n", "]"}], "-",
+ RowBox[{
+ RowBox[{"logZ", "[", "n", "]"}], "[", "xmax", "]"}]}], ")"}],
+ "/",
+ SuperscriptBox["n", "2"]}]}], ",",
+ RowBox[{"logN", "[", "n", "]"}]}], "]"}]}], "\[IndentingNewLine]",
+ "]"}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.7898311955449543`*^9, 3.7898312093030577`*^9}, {
3.789831243231729*^9, 3.789831244079329*^9}, {3.789831294191235*^9,
3.789831426152293*^9}, {3.789831478986567*^9, 3.789831485824489*^9}, {
3.7898315199939957`*^9, 3.789831522392721*^9}, {3.789831606978533*^9,
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- CellLabel->"In[12]:=",ExpressionUUID->"b26da0ea-b484-4f10-9733-25392042ef58"],
+ 3.7898316137600183`*^9}, {3.789831690098496*^9, 3.789831713568328*^9}, {
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+ "In[293]:=",ExpressionUUID->"b26da0ea-b484-4f10-9733-25392042ef58"],
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RowBox[{
@@ -440,7 +447,7 @@ Cell[BoxData[
3.785804692864304*^9}, {3.7858129014364243`*^9, 3.7858129030771227`*^9}, {
3.789743002867009*^9, 3.789743004777854*^9}},
CellLabel->
- "In[156]:=",ExpressionUUID->"3b7ef50e-b362-4da3-b734-818bb17a7c2f"],
+ "In[117]:=",ExpressionUUID->"3b7ef50e-b362-4da3-b734-818bb17a7c2f"],
Cell[CellGroupData[{
@@ -453,31 +460,31 @@ Cell[BoxData[
"]"}]], "Input",
CellChangeTimes->{{3.790500857951195*^9, 3.790500873614827*^9}},
CellLabel->
- "In[198]:=",ExpressionUUID->"1d9176bd-3b77-4ecc-9453-1c9a125a6eca"],
+ "In[118]:=",ExpressionUUID->"1d9176bd-3b77-4ecc-9453-1c9a125a6eca"],
Cell[BoxData[
TemplateBox[{TagBox[
DynamicModuleBox[{
TypeSystem`NestedGrid`PackagePrivate`$state$$ =
Data`UnorderedAssociation[
- "RowCount" -> 7, "Length" -> 7, "InitialType" -> TypeSystem`Vector[
+ "RowCount" -> 8, "Length" -> 8, "InitialType" -> TypeSystem`Vector[
TypeSystem`Tuple[{
TypeSystem`Atom[Integer],
TypeSystem`Atom[Integer],
- TypeSystem`Atom[Real]}], 7], "Shape" ->
+ TypeSystem`Atom[Real]}], 8], "Shape" ->
TypeSystem`PackageScope`Limited[
TypeSystem`PackageScope`ColumnShape[
TypeSystem`PackageScope`RowShape[{
TypeSystem`PackageScope`AtomShape[34],
TypeSystem`PackageScope`AtomShape[34],
- TypeSystem`PackageScope`AtomShape[60]}]], 7, {}], "InitialData" ->
- TypeSystem`PackageScope`CacheHandle[2088261021], "Type" ->
+ TypeSystem`PackageScope`AtomShape[60]}]], 8, {}], "InitialData" ->
+ TypeSystem`PackageScope`CacheHandle[2074065195], "Type" ->
TypeSystem`Vector[
TypeSystem`Tuple[{
TypeSystem`Atom[Integer],
TypeSystem`Atom[Integer],
- TypeSystem`Atom[Real]}], 7], "HandleQ" -> True, "RowTarget" -> 20,
- "Data" -> TypeSystem`PackageScope`CacheHandle[2088261021]],
+ TypeSystem`Atom[Real]}], 8], "HandleQ" -> True, "RowTarget" -> 20,
+ "Data" -> TypeSystem`PackageScope`CacheHandle[2074065195]],
TypeSystem`NestedGrid`PackagePrivate`$path$$ = {},
TypeSystem`NestedGrid`PackagePrivate`$pos$$ = 1,
TypeSystem`NestedGrid`PackagePrivate`$grid$$ =
@@ -488,149 +495,171 @@ Cell[BoxData[
Pane[
Annotation[
RawBoxes["12"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[1, 1]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["64"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[1, 2]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["25.0"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[1, 3]], "Mouse"],
ImageSize -> {{60, Full}, Automatic},
Alignment -> {Left, Baseline}]}, {
Pane[
Annotation[
RawBoxes["12"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[2, 1]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["128"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[2, 2]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["50.0"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[2, 3]], "Mouse"],
ImageSize -> {{60, Full}, Automatic},
Alignment -> {Left, Baseline}]}, {
Pane[
Annotation[
RawBoxes["12"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[3, 1]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["128"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[3, 2]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["50.0"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[3, 3]], "Mouse"],
ImageSize -> {{60, Full}, Automatic},
Alignment -> {Left, Baseline}]}, {
Pane[
Annotation[
RawBoxes["16"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[4, 1]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["64"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[4, 2]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["25.0"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
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ImageSize -> {{60, Full}, Automatic},
Alignment -> {Left, Baseline}]}, {
Pane[
Annotation[
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- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ RawBoxes["16"],
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GeneralUtilities`Slice[5, 1]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["64"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
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ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
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+ RawBoxes["50.0"],
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
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ImageSize -> {{60, Full}, Automatic},
Alignment -> {Left, Baseline}]}, {
Pane[
Annotation[
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+ RawBoxes["20"],
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ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["64"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
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ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
RawBoxes["25.0"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
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ImageSize -> {{60, Full}, Automatic},
Alignment -> {Left, Baseline}]}, {
Pane[
Annotation[
RawBoxes["8"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[7, 1]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
- RawBoxes["128"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ RawBoxes["64"],
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[7, 2]], "Mouse"],
ImageSize -> {{34, Full}, Automatic},
Alignment -> {Left, Baseline}],
Pane[
Annotation[
- RawBoxes["50.0"],
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ RawBoxes["25.0"],
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
GeneralUtilities`Slice[7, 3]], "Mouse"],
ImageSize -> {{60, Full}, Automatic},
+ Alignment -> {Left, Baseline}]}, {
+ Pane[
+ Annotation[
+ RawBoxes["8"],
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263]
+ [
+ GeneralUtilities`Slice[8, 1]], "Mouse"],
+ ImageSize -> {{34, Full}, Automatic},
+ Alignment -> {Left, Baseline}],
+ Pane[
+ Annotation[
+ RawBoxes["128"],
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
+ GeneralUtilities`Slice[8, 2]], "Mouse"],
+ ImageSize -> {{34, Full}, Automatic},
+ Alignment -> {Left, Baseline}],
+ Pane[
+ Annotation[
+ RawBoxes["50.0"],
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
+ GeneralUtilities`Slice[8, 3]], "Mouse"],
+ ImageSize -> {{60, Full}, Automatic},
Alignment -> {Left, Baseline}]}}, BaseStyle -> {ContextMenu -> {
MenuItem["Copy position to clipboard",
KernelExecute[
@@ -671,15 +700,14 @@ Cell[BoxData[
TypeSystem`NestedGrid`PackagePrivate`LookupCacheValue[
TypeSystem`NestedGrid`PackagePrivate`$state$$["Data"]]},
TypeSystem`NestedGrid`PackagePrivate`tmpGrid$ =
- If[
- TypeSystem`NestedGrid`PackagePrivate`tmpData$ ===
+ If[TypeSystem`NestedGrid`PackagePrivate`tmpData$ ===
TypeSystem`NestedGrid`PackagePrivate`$NotCached,
TypeSystem`NestedGrid`PackagePrivate`renderedGrid,
TypeSystem`NestedGrid`PackagePrivate`renderGrid[
TypeSystem`NestedGrid`PackagePrivate`$state$$,
TypeSystem`NestedGrid`PackagePrivate`$path$$,
TypeSystem`NestedGrid`PackagePrivate`$pos$$,
- TypeSystem`NestedGrid`PackagePrivate`$grid$$, 1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$grid$$, 1451539263][
TypeSystem`NestedGrid`PackagePrivate`tmpData$]]; If[
Not[
FailureQ[TypeSystem`NestedGrid`PackagePrivate`tmpGrid$]],
@@ -710,14 +738,14 @@ Cell[BoxData[
TypeSystem`NestedGrid`PackagePrivate`$state$$,
TypeSystem`NestedGrid`PackagePrivate`$path$$,
TypeSystem`NestedGrid`PackagePrivate`$pos$$,
- TypeSystem`NestedGrid`PackagePrivate`$grid$$, 1336641171]]]],
+ TypeSystem`NestedGrid`PackagePrivate`$grid$$, 1451539263]]]],
TrackedSymbols :> {TypeSystem`NestedGrid`PackagePrivate`$path$$}],
TypeSystem`NestedGrid`PackagePrivate`$bottomBar$$ = Framed[
Dynamic[
Replace[
MouseAnnotation[Null], {
- TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][Null] ->
- "", TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1336641171][
+ TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][Null] ->
+ "", TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
Pattern[TypeSystem`NestedGrid`PackagePrivate`path,
Blank[]]] :> (
TypeSystem`NestedGrid`PackagePrivate`$lastPath =
@@ -751,7 +779,7 @@ Cell[BoxData[
TypeSystem`NestedGrid`PackagePrivate`$bottomBar$$]]}], Spacings ->
If[TypeSystem`NestedGrid`PackagePrivate`$path$$ == {},
0, {{}, {0, 0.05, 0}}]], StandardForm],
- ImageSizeCache -> {157., {95.5, 102.5}},
+ ImageSizeCache -> {157., {108.5, 115.5}},
TrackedSymbols :> {
TypeSystem`NestedGrid`PackagePrivate`$state$$,
TypeSystem`NestedGrid`PackagePrivate`$grid$$}],
@@ -764,9 +792,10 @@ Cell[BoxData[
"CopyTag",
DisplayFunction->(#& ),
InterpretationFunction->("Dataset[<>]"& )]], "Output",
- CellChangeTimes->{3.790500873928317*^9},
+ CellChangeTimes->{3.790500873928317*^9, 3.790680744086668*^9,
+ 3.790681304959074*^9},
CellLabel->
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+ "Out[118]=",ExpressionUUID->"305f9fe3-8a8d-4a5c-b42b-c23e67a6afbb"]
}, Open ]],
Cell[BoxData[{
@@ -797,7 +826,8 @@ Cell[BoxData[{
RowBox[{
RowBox[{
RowBox[{"#n", "\[Equal]", "16"}], "&&",
- RowBox[{"#N", "\[Equal]", "64"}]}], "&"}], "]"}], "]"}]}],
+ RowBox[{"#N", "\[Equal]", "64"}], "&&",
+ RowBox[{"#\[Beta]1", "\[Equal]", "50"}]}], "&"}], "]"}], "]"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"sample20", "=",
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3.789932602730394*^9, 3.789932608991914*^9}, {3.7905000270031652`*^9,
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CellLabel->
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+ "In[187]:=",ExpressionUUID->"965aa541-441e-48ee-b9c7-6c04093a0d42"],
Cell[BoxData[{
RowBox[{
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3.78993261910413*^9}},
CellLabel->
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DisplayFunction -> Identity,
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"DefaultBoundaryStyle" -> Automatic,
@@ -2227,7 +2243,7 @@ LM7nCMHnNR3Oy74xDSymYIKpVnbj6XS4OdPTZAgU7DMh0Oz8Wzr8D056ceo=
Ticks -> {Quiet[
Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , Quiet[
Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& },
- AxesOrigin -> {-9.210340371976182, -13.003880361011134`},
+ AxesOrigin -> {-11.512925464970229`, -14.619668330378314`},
FrameTicks -> {{Quiet[
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