summaryrefslogtreecommitdiff
path: root/real-im-to-analytic.nb
diff options
context:
space:
mode:
authorJaron Kent-Dobias <jaron@kent-dobias.com>2021-08-17 19:10:01 +0200
committerJaron Kent-Dobias <jaron@kent-dobias.com>2021-08-17 19:10:01 +0200
commitd843c9d2d5c25ecc10760b1fc834348b1290921b (patch)
treebaa27c4cb0fa311872d3ac515723f27993daabb3 /real-im-to-analytic.nb
parentd0796ec87f2bc0f57c2ba76497918f4c570dbd46 (diff)
downloadmma-d843c9d2d5c25ecc10760b1fc834348b1290921b.tar.gz
mma-d843c9d2d5c25ecc10760b1fc834348b1290921b.tar.bz2
mma-d843c9d2d5c25ecc10760b1fc834348b1290921b.zip
Lots of work.
Diffstat (limited to 'real-im-to-analytic.nb')
-rw-r--r--real-im-to-analytic.nb175
1 files changed, 119 insertions, 56 deletions
diff --git a/real-im-to-analytic.nb b/real-im-to-analytic.nb
index 66f14ea..0953065 100644
--- a/real-im-to-analytic.nb
+++ b/real-im-to-analytic.nb
@@ -10,10 +10,10 @@
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
-NotebookDataLength[ 654811, 11396]
-NotebookOptionsPosition[ 649326, 11294]
-NotebookOutlinePosition[ 649721, 11310]
-CellTagsIndexPosition[ 649678, 11307]
+NotebookDataLength[ 657165, 11461]
+NotebookOptionsPosition[ 651267, 11353]
+NotebookOutlinePosition[ 651664, 11369]
+CellTagsIndexPosition[ 651621, 11366]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
@@ -58,6 +58,65 @@ Cell[BoxData[
3.827497233522489*^9}, {3.827497395954739*^9, 3.827497449960273*^9}},
CellLabel->"In[80]:=",ExpressionUUID->"5912efbc-7c4d-43fd-ac08-c167efb03ead"],
+Cell[BoxData[
+ RowBox[{"Integrate", "[",
+ RowBox[{"2",
+ FractionBox[
+ SuperscriptBox["\[Theta]", "2"], "\[Pi]"]}]}]], "Input",
+ CellChangeTimes->{{3.837590409295301*^9, 3.837590410328467*^9}, {
+ 3.837590461265456*^9,
+ 3.8375904670199213`*^9}},ExpressionUUID->"d15b0160-d7de-4111-9269-\
+455ff8bf1a23"],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"FullSimplify", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{"z", " ",
+ RowBox[{"Exp", "[",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{"\[Pi]", "/",
+ RowBox[{"(",
+ RowBox[{"2", " ", "\[CapitalDelta]"}], ")"}]}]}], "]"}]}], ")"}],
+ RowBox[{"-", "\[CapitalDelta]"}]], ",",
+ SuperscriptBox["z",
+ RowBox[{"-", "\[CapitalDelta]"}]]}], "}"}], "/.",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"\[CapitalDelta]", "->",
+ RowBox[{"RandomReal", "[", "]"}]}], ",",
+ RowBox[{"z", "->",
+ RowBox[{"RandomReal", "[", "]"}]}]}], "}"}]}], ",",
+ RowBox[{"Assumptions", "->",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"z", ">", "0"}], ",",
+ RowBox[{"\[CapitalDelta]", ">", "0"}]}], "}"}]}]}], "]"}]], "Input",
+ CellChangeTimes->{{3.837590554460486*^9, 3.837590648157104*^9}, {
+ 3.8375906921504383`*^9, 3.8375906995980263`*^9}},
+ CellLabel->"In[24]:=",ExpressionUUID->"70da4643-cc9f-4644-8e02-03ec3a220ba1"],
+
+Cell[BoxData[
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"0.18593136134882174`", "\[VeryThinSpace]", "+",
+ RowBox[{"1.7766410373245114`", " ", "\[ImaginaryI]"}]}], ",",
+ "1.7863437089873107`"}], "}"}]], "Output",
+ CellChangeTimes->{{3.837590699774778*^9, 3.837590709576022*^9}},
+ CellLabel->"Out[24]=",ExpressionUUID->"45ef3551-900b-4c09-b954-3793de4853bd"]
+}, Open ]],
+
+Cell[BoxData["("], "Input",
+ CellChangeTimes->{
+ 3.8375907653764353`*^9},ExpressionUUID->"42793f9e-e7c9-4ac7-acff-\
+2369705ca99f"],
+
Cell[CellGroupData[{
Cell[BoxData[
@@ -11292,9 +11351,9 @@ f/tbvY1ly5b9x4B+6d++8hZ/+9f/B97XJbuV/0z0739d6//91/r3b/G3//IO
96.],ExpressionUUID->"4f4f4f2f-5f1f-4c17-a075-89617859470a"]
}, Open ]]
},
-WindowSize->{1437, 792},
-WindowMargins->{{1.5, Automatic}, {1.5, Automatic}},
-FrontEndVersion->"12.1 for Linux ARM (32-bit) (August 18, 2020)",
+WindowSize->{1915.5, 528.},
+WindowMargins->{{2.25, Automatic}, {2.25, Automatic}},
+FrontEndVersion->"12.3 for Linux x86 (64-bit) (May 11, 2021)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"d4a88797-94bb-45a7-a506-b83a92696b1d"
]
@@ -11309,98 +11368,102 @@ CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
-Cell[558, 20, 375, 9, 29, "Input",ExpressionUUID->"eff314f5-6828-4938-9917-55be27ef319a"],
-Cell[936, 31, 426, 11, 45, "Input",ExpressionUUID->"1079e99d-46c1-4027-999c-bfea3c9cc555"],
-Cell[1365, 44, 709, 14, 29, "Input",ExpressionUUID->"5912efbc-7c4d-43fd-ac08-c167efb03ead"],
+Cell[558, 20, 375, 9, 22, "Input",ExpressionUUID->"eff314f5-6828-4938-9917-55be27ef319a"],
+Cell[936, 31, 426, 11, 37, "Input",ExpressionUUID->"1079e99d-46c1-4027-999c-bfea3c9cc555"],
+Cell[1365, 44, 709, 14, 22, "Input",ExpressionUUID->"5912efbc-7c4d-43fd-ac08-c167efb03ead"],
+Cell[2077, 60, 311, 8, 38, "Input",ExpressionUUID->"d15b0160-d7de-4111-9269-455ff8bf1a23"],
Cell[CellGroupData[{
-Cell[2099, 62, 1569, 40, 52, "Input",ExpressionUUID->"faa37334-6b38-47c0-b3f2-b15a9b638888"],
-Cell[3671, 104, 1276, 23, 59, "Message",ExpressionUUID->"b9e452cd-3f14-4277-8346-3613b7d1059b"],
-Cell[4950, 129, 1471, 40, 65, "Output",ExpressionUUID->"48a7929b-fdf0-4637-91b6-9ba73fae2113"]
+Cell[2413, 72, 1095, 30, 24, "Input",ExpressionUUID->"70da4643-cc9f-4644-8e02-03ec3a220ba1"],
+Cell[3511, 104, 358, 7, 25, "Output",ExpressionUUID->"45ef3551-900b-4c09-b954-3793de4853bd"]
}, Open ]],
-Cell[6436, 172, 456, 14, 29, "Input",ExpressionUUID->"d4cb242d-0fd9-44bf-9a2d-ea9e14e8d4f8"],
+Cell[3884, 114, 131, 3, 22, "Input",ExpressionUUID->"42793f9e-e7c9-4ac7-acff-2369705ca99f"],
Cell[CellGroupData[{
-Cell[6917, 190, 341, 8, 29, "Input",ExpressionUUID->"43e99def-5276-4d44-be42-b93c0fcddd80"],
-Cell[7261, 200, 284, 5, 33, "Output",ExpressionUUID->"0b28767a-50e2-4d5a-bf80-15f97217705e"]
+Cell[4040, 121, 1569, 40, 42, "Input",ExpressionUUID->"faa37334-6b38-47c0-b3f2-b15a9b638888"],
+Cell[5612, 163, 1276, 23, 48, "Message",ExpressionUUID->"b9e452cd-3f14-4277-8346-3613b7d1059b"],
+Cell[6891, 188, 1471, 40, 53, "Output",ExpressionUUID->"48a7929b-fdf0-4637-91b6-9ba73fae2113"]
}, Open ]],
+Cell[8377, 231, 456, 14, 22, "Input",ExpressionUUID->"d4cb242d-0fd9-44bf-9a2d-ea9e14e8d4f8"],
Cell[CellGroupData[{
-Cell[7582, 210, 1089, 27, 29, "Input",ExpressionUUID->"bd6e10a4-ed6f-4e36-8380-8d8ce28cde7c"],
-Cell[8674, 239, 776, 20, 62, "Output",ExpressionUUID->"23d0454f-f2d9-4fb3-bdc7-4ffb1b74e6aa"]
+Cell[8858, 249, 341, 8, 22, "Input",ExpressionUUID->"43e99def-5276-4d44-be42-b93c0fcddd80"],
+Cell[9202, 259, 284, 5, 25, "Output",ExpressionUUID->"0b28767a-50e2-4d5a-bf80-15f97217705e"]
}, Open ]],
Cell[CellGroupData[{
-Cell[9487, 264, 1187, 28, 29, "Input",ExpressionUUID->"56fcdd5c-2d7b-42f3-95fa-0d2a1c3bedb9"],
-Cell[10677, 294, 852, 21, 62, "Output",ExpressionUUID->"071f206f-c384-43a2-82f3-232f48980db8"]
+Cell[9523, 269, 1089, 27, 24, "Input",ExpressionUUID->"bd6e10a4-ed6f-4e36-8380-8d8ce28cde7c"],
+Cell[10615, 298, 776, 20, 51, "Output",ExpressionUUID->"23d0454f-f2d9-4fb3-bdc7-4ffb1b74e6aa"]
}, Open ]],
Cell[CellGroupData[{
-Cell[11566, 320, 1187, 28, 29, "Input",ExpressionUUID->"a757608f-16b2-4602-9ded-d15035d5dfdd"],
-Cell[12756, 350, 574, 11, 48, "Output",ExpressionUUID->"4ef1c684-f7f6-4ea1-9629-76aadd2710e5"]
+Cell[11428, 323, 1187, 28, 24, "Input",ExpressionUUID->"56fcdd5c-2d7b-42f3-95fa-0d2a1c3bedb9"],
+Cell[12618, 353, 852, 21, 51, "Output",ExpressionUUID->"071f206f-c384-43a2-82f3-232f48980db8"]
}, Open ]],
Cell[CellGroupData[{
-Cell[13367, 366, 1186, 28, 29, "Input",ExpressionUUID->"3a1a179e-70d2-47be-8e40-72cc070ade83"],
-Cell[14556, 396, 572, 11, 48, "Output",ExpressionUUID->"53419b6f-c170-48c5-81af-042ab186b9ce"]
+Cell[13507, 379, 1187, 28, 41, "Input",ExpressionUUID->"a757608f-16b2-4602-9ded-d15035d5dfdd"],
+Cell[14697, 409, 574, 11, 40, "Output",ExpressionUUID->"4ef1c684-f7f6-4ea1-9629-76aadd2710e5"]
}, Open ]],
Cell[CellGroupData[{
-Cell[15165, 412, 1184, 28, 29, "Input",ExpressionUUID->"6ffbb49f-260f-4e66-a0f8-656af593e15f"],
-Cell[16352, 442, 478, 8, 33, "Output",ExpressionUUID->"72beeeb2-8b86-472d-b55b-1ef065f3dd89"]
+Cell[15308, 425, 1186, 28, 41, "Input",ExpressionUUID->"3a1a179e-70d2-47be-8e40-72cc070ade83"],
+Cell[16497, 455, 572, 11, 40, "Output",ExpressionUUID->"53419b6f-c170-48c5-81af-042ab186b9ce"]
}, Open ]],
Cell[CellGroupData[{
-Cell[16867, 455, 1238, 29, 29, "Input",ExpressionUUID->"cd460901-4cd5-41ad-a9d0-de867c141243"],
-Cell[18108, 486, 500, 8, 33, "Output",ExpressionUUID->"c7c03aec-9000-4255-8a2e-4f044b92e998"]
+Cell[17106, 471, 1184, 28, 41, "Input",ExpressionUUID->"6ffbb49f-260f-4e66-a0f8-656af593e15f"],
+Cell[18293, 501, 478, 8, 25, "Output",ExpressionUUID->"72beeeb2-8b86-472d-b55b-1ef065f3dd89"]
}, Open ]],
Cell[CellGroupData[{
-Cell[18645, 499, 1238, 29, 29, "Input",ExpressionUUID->"1c5c11e7-2da7-43f2-856a-cf557fec4282"],
-Cell[19886, 530, 554, 9, 33, "Output",ExpressionUUID->"2437c0ac-fbd5-4a7d-ba1c-9de115755a14"]
+Cell[18808, 514, 1238, 29, 41, "Input",ExpressionUUID->"cd460901-4cd5-41ad-a9d0-de867c141243"],
+Cell[20049, 545, 500, 8, 25, "Output",ExpressionUUID->"c7c03aec-9000-4255-8a2e-4f044b92e998"]
}, Open ]],
Cell[CellGroupData[{
-Cell[20477, 544, 1925, 46, 51, "Input",ExpressionUUID->"bff34808-e357-4250-b00c-4dcfdfd93f24"],
-Cell[22405, 592, 152, 3, 33, "Output",ExpressionUUID->"cae0f81f-6c2a-413b-bd58-cf04551377d7"]
+Cell[20586, 558, 1238, 29, 41, "Input",ExpressionUUID->"1c5c11e7-2da7-43f2-856a-cf557fec4282"],
+Cell[21827, 589, 554, 9, 25, "Output",ExpressionUUID->"2437c0ac-fbd5-4a7d-ba1c-9de115755a14"]
}, Open ]],
Cell[CellGroupData[{
-Cell[22594, 600, 490, 14, 29, "Input",ExpressionUUID->"830295c2-5fa1-456d-a4d8-c1b20ce3c872"],
-Cell[23087, 616, 925, 29, 62, "Output",ExpressionUUID->"100ed52b-af07-479d-bbeb-1496ce7ea929"]
+Cell[22418, 603, 1925, 46, 93, "Input",ExpressionUUID->"bff34808-e357-4250-b00c-4dcfdfd93f24"],
+Cell[24346, 651, 152, 3, 25, "Output",ExpressionUUID->"cae0f81f-6c2a-413b-bd58-cf04551377d7"]
}, Open ]],
Cell[CellGroupData[{
-Cell[24049, 650, 490, 14, 29, "Input",ExpressionUUID->"486631aa-c262-4bcf-b82f-3f9a094c4d92"],
-Cell[24542, 666, 879, 27, 62, "Output",ExpressionUUID->"134c2909-13c9-4920-aa73-566d68dec7d6"]
+Cell[24535, 659, 490, 14, 24, "Input",ExpressionUUID->"830295c2-5fa1-456d-a4d8-c1b20ce3c872"],
+Cell[25028, 675, 925, 29, 51, "Output",ExpressionUUID->"100ed52b-af07-479d-bbeb-1496ce7ea929"]
}, Open ]],
Cell[CellGroupData[{
-Cell[25458, 698, 519, 15, 29, "Input",ExpressionUUID->"4024f218-a338-419b-bc21-2a4fc77880ec"],
-Cell[25980, 715, 13099, 235, 237, "Output",ExpressionUUID->"073b32d3-f41e-4cfd-b366-20d745660272"]
+Cell[25990, 709, 490, 14, 24, "Input",ExpressionUUID->"486631aa-c262-4bcf-b82f-3f9a094c4d92"],
+Cell[26483, 725, 879, 27, 51, "Output",ExpressionUUID->"134c2909-13c9-4920-aa73-566d68dec7d6"]
}, Open ]],
Cell[CellGroupData[{
-Cell[39116, 955, 704, 20, 29, "Input",ExpressionUUID->"380239cf-c27d-418f-a09d-304242e1a51d"],
-Cell[39823, 977, 929, 29, 62, "Output",ExpressionUUID->"a863aff4-d24d-411b-8577-211c8cd934b0"]
+Cell[27399, 757, 519, 15, 22, "Input",ExpressionUUID->"4024f218-a338-419b-bc21-2a4fc77880ec"],
+Cell[27921, 774, 13099, 235, 178, "Output",ExpressionUUID->"073b32d3-f41e-4cfd-b366-20d745660272"]
}, Open ]],
Cell[CellGroupData[{
-Cell[40789, 1011, 466, 12, 29, "Input",ExpressionUUID->"399a0086-c1d6-482f-b673-37f2aa2193f0"],
-Cell[41258, 1025, 721, 21, 66, "Output",ExpressionUUID->"0159d837-58c4-45d4-8d86-3d3c622e8fc6"]
+Cell[41057, 1014, 704, 20, 24, "Input",ExpressionUUID->"380239cf-c27d-418f-a09d-304242e1a51d"],
+Cell[41764, 1036, 929, 29, 51, "Output",ExpressionUUID->"a863aff4-d24d-411b-8577-211c8cd934b0"]
}, Open ]],
Cell[CellGroupData[{
-Cell[42016, 1051, 481, 13, 29, "Input",ExpressionUUID->"39fdbc07-65be-4716-9a42-f8c6ff3fa620"],
-Cell[42500, 1066, 204, 3, 33, "Output",ExpressionUUID->"0580e8c0-d6d9-4faf-9964-63d3d79dd649"]
+Cell[42730, 1070, 466, 12, 24, "Input",ExpressionUUID->"399a0086-c1d6-482f-b673-37f2aa2193f0"],
+Cell[43199, 1084, 721, 21, 55, "Output",ExpressionUUID->"0159d837-58c4-45d4-8d86-3d3c622e8fc6"]
}, Open ]],
Cell[CellGroupData[{
-Cell[42741, 1074, 291, 5, 29, "Input",ExpressionUUID->"8ad49bde-2970-4105-94cf-47a96e4e700f"],
-Cell[43035, 1081, 427, 10, 62, "Output",ExpressionUUID->"7aecbe9d-a492-4834-a509-7e4245e2eab3"]
+Cell[43957, 1110, 481, 13, 22, "Input",ExpressionUUID->"39fdbc07-65be-4716-9a42-f8c6ff3fa620"],
+Cell[44441, 1125, 204, 3, 25, "Output",ExpressionUUID->"0580e8c0-d6d9-4faf-9964-63d3d79dd649"]
}, Open ]],
Cell[CellGroupData[{
-Cell[43499, 1096, 808, 17, 29, "Input",ExpressionUUID->"bf73fae8-8163-4a94-a4b8-bc840ec85d39"],
-Cell[44310, 1115, 8430, 158, 244, "Output",ExpressionUUID->"412ed524-900d-4555-a68d-a308ff953229"]
+Cell[44682, 1133, 291, 5, 22, "Input",ExpressionUUID->"8ad49bde-2970-4105-94cf-47a96e4e700f"],
+Cell[44976, 1140, 427, 10, 51, "Output",ExpressionUUID->"7aecbe9d-a492-4834-a509-7e4245e2eab3"]
}, Open ]],
Cell[CellGroupData[{
-Cell[52777, 1278, 204, 3, 29, "Input",ExpressionUUID->"fea5f784-f8f9-4f32-a638-3b000e454486"],
-Cell[52984, 1283, 209, 3, 33, "Output",ExpressionUUID->"e918a310-9674-4cea-9d35-2b98c7dd7a6e"]
+Cell[45440, 1155, 808, 17, 22, "Input",ExpressionUUID->"bf73fae8-8163-4a94-a4b8-bc840ec85d39"],
+Cell[46251, 1174, 8430, 158, 183, "Output",ExpressionUUID->"412ed524-900d-4555-a68d-a308ff953229"]
}, Open ]],
Cell[CellGroupData[{
-Cell[53230, 1291, 204, 3, 29, "Input",ExpressionUUID->"f14f52dc-41c4-475b-9b03-a8046f40e2dd"],
-Cell[53437, 1296, 149, 2, 33, "Output",ExpressionUUID->"5f42a503-4f2a-45bd-9321-a8e2650ca35d"]
+Cell[54718, 1337, 204, 3, 22, "Input",ExpressionUUID->"fea5f784-f8f9-4f32-a638-3b000e454486"],
+Cell[54925, 1342, 209, 3, 25, "Output",ExpressionUUID->"e918a310-9674-4cea-9d35-2b98c7dd7a6e"]
}, Open ]],
Cell[CellGroupData[{
-Cell[53623, 1303, 1099, 23, 29, "Input",ExpressionUUID->"37e11c89-2a80-41dd-b7a6-61cbdedd0290"],
-Cell[54725, 1328, 594585, 9963, 377, 322902, 5508, "CachedBoxData", "BoxData", "Output",ExpressionUUID->"4f4f4f2f-5f1f-4c17-a075-89617859470a"]
+Cell[55171, 1350, 204, 3, 22, "Input",ExpressionUUID->"f14f52dc-41c4-475b-9b03-a8046f40e2dd"],
+Cell[55378, 1355, 149, 2, 25, "Output",ExpressionUUID->"5f42a503-4f2a-45bd-9321-a8e2650ca35d"]
+}, Open ]],
+Cell[CellGroupData[{
+Cell[55564, 1362, 1099, 23, 24, "Input",ExpressionUUID->"37e11c89-2a80-41dd-b7a6-61cbdedd0290"],
+Cell[56666, 1387, 594585, 9963, 374, 322902, 5508, "CachedBoxData", "BoxData", "Output",ExpressionUUID->"4f4f4f2f-5f1f-4c17-a075-89617859470a"]
}, Open ]]
}
]
*)
-(* End of internal cache information *)
-