uniform scaling
This commit is contained in:
parent
f74f26d137
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360
FarDFT.nb
360
FarDFT.nb
@ -10,10 +10,10 @@
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3.7848873921908484`*^9}},ExpressionUUID->"350a122c-6d8b-461e-bad5-\
|
||||||
|
e2fdbc14b8f2"],
|
||||||
|
|
||||||
|
Cell[CellGroupData[{
|
||||||
|
|
||||||
|
Cell[BoxData[
|
||||||
|
RowBox[{"Solve", "[",
|
||||||
|
RowBox[{
|
||||||
|
RowBox[{"\[Alpha]",
|
||||||
|
FractionBox[
|
||||||
|
RowBox[{
|
||||||
|
RowBox[{"-",
|
||||||
|
FractionBox["4", "3"]}],
|
||||||
|
SuperscriptBox[
|
||||||
|
RowBox[{"(",
|
||||||
|
FractionBox["1", "\[Pi]"], ")"}],
|
||||||
|
RowBox[{"1", "/", "3"}]]}],
|
||||||
|
RowBox[{
|
||||||
|
RowBox[{"-",
|
||||||
|
FractionBox["3", "4"]}],
|
||||||
|
SuperscriptBox[
|
||||||
|
RowBox[{"(",
|
||||||
|
FractionBox["3", "\[Pi]"], ")"}],
|
||||||
|
RowBox[{"1", "/", "3"}]]}]]}], "\[Equal]",
|
||||||
|
FractionBox[
|
||||||
|
RowBox[{
|
||||||
|
RowBox[{"-",
|
||||||
|
FractionBox[
|
||||||
|
RowBox[{"20", " "}], "27"]}],
|
||||||
|
SuperscriptBox[
|
||||||
|
RowBox[{"(",
|
||||||
|
FractionBox["\[Pi]", "2"], ")"}],
|
||||||
|
RowBox[{"1", "/", "3"}]]}],
|
||||||
|
RowBox[{
|
||||||
|
RowBox[{"-",
|
||||||
|
FractionBox["3", "4"]}],
|
||||||
|
SuperscriptBox[
|
||||||
|
RowBox[{"(",
|
||||||
|
FractionBox["3", "\[Pi]"], ")"}],
|
||||||
|
RowBox[{"1", "/", "3"}]]}]]}], "]"}]], "Input",
|
||||||
|
CellChangeTimes->{{3.784887340086206*^9, 3.7848873585035954`*^9},
|
||||||
|
3.784887404053864*^9},
|
||||||
|
CellLabel->
|
||||||
|
"In[135]:=",ExpressionUUID->"ffbc7770-1424-4564-b99b-b9ad1c0639d4"],
|
||||||
|
|
||||||
|
Cell[BoxData[
|
||||||
|
RowBox[{"{",
|
||||||
|
RowBox[{"{",
|
||||||
|
RowBox[{"\[Alpha]", "\[Rule]",
|
||||||
|
FractionBox[
|
||||||
|
RowBox[{"5", " ",
|
||||||
|
SuperscriptBox["\[Pi]",
|
||||||
|
RowBox[{"2", "/", "3"}]]}],
|
||||||
|
RowBox[{"9", " ",
|
||||||
|
SuperscriptBox["2",
|
||||||
|
RowBox[{"1", "/", "3"}]]}]]}], "}"}], "}"}]], "Output",
|
||||||
|
CellChangeTimes->{3.784887359346363*^9, 3.784887404575333*^9},
|
||||||
|
CellLabel->
|
||||||
|
"Out[135]=",ExpressionUUID->"27597e7b-3c41-49b8-9900-9077d931d997"]
|
||||||
|
}, Open ]]
|
||||||
}, Open ]]
|
}, Open ]]
|
||||||
}, Open ]]
|
}, Open ]]
|
||||||
},
|
},
|
||||||
@ -2375,9 +2649,9 @@ Cell[4240, 138, 550, 13, 48, "Input",ExpressionUUID->"150e916f-8806-4d8e-b5d0-c0
|
|||||||
Cell[4793, 153, 276, 4, 34, "Output",ExpressionUUID->"fb35d58c-512f-4f74-aa01-67c7b7b81a77"]
|
Cell[4793, 153, 276, 4, 34, "Output",ExpressionUUID->"fb35d58c-512f-4f74-aa01-67c7b7b81a77"]
|
||||||
}, Open ]]
|
}, Open ]]
|
||||||
}, Closed]]
|
}, Closed]]
|
||||||
}, Open ]],
|
}, Closed]],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
Cell[5130, 164, 215, 4, 67, "Section",ExpressionUUID->"8fd0ca40-ccd3-410e-8538-798441b5cf4b"],
|
Cell[5130, 164, 215, 4, 53, "Section",ExpressionUUID->"8fd0ca40-ccd3-410e-8538-798441b5cf4b"],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
Cell[5370, 172, 174, 3, 54, "Subsection",ExpressionUUID->"10e37c4d-fcc0-4a25-949c-6383c67ff9eb"],
|
Cell[5370, 172, 174, 3, 54, "Subsection",ExpressionUUID->"10e37c4d-fcc0-4a25-949c-6383c67ff9eb"],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
@ -2400,10 +2674,10 @@ Cell[15939, 491, 497, 7, 34, "Output",ExpressionUUID->"ed71661b-3a8d-4eee-a4d0-6
|
|||||||
}, Open ]],
|
}, Open ]],
|
||||||
Cell[16451, 501, 2240, 61, 123, "Input",ExpressionUUID->"1f5927dc-663a-4f11-a2d1-7bc195f79332"]
|
Cell[16451, 501, 2240, 61, 123, "Input",ExpressionUUID->"1f5927dc-663a-4f11-a2d1-7bc195f79332"]
|
||||||
}, Closed]]
|
}, Closed]]
|
||||||
}, Open ]]
|
}, Closed]]
|
||||||
}, Open ]],
|
}, Closed]],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
Cell[18752, 569, 150, 3, 98, "Title",ExpressionUUID->"e756f09e-4f67-4fb6-a4c1-1a4fcf53e013"],
|
Cell[18752, 569, 150, 3, 72, "Title",ExpressionUUID->"e756f09e-4f67-4fb6-a4c1-1a4fcf53e013"],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
Cell[18927, 576, 259, 4, 67, "Section",ExpressionUUID->"81f07a4a-071b-4e38-8018-d116e770b20b"],
|
Cell[18927, 576, 259, 4, 67, "Section",ExpressionUUID->"81f07a4a-071b-4e38-8018-d116e770b20b"],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
@ -2420,9 +2694,9 @@ Cell[22847, 687, 153, 3, 35, "Text",ExpressionUUID->"d352d13e-d96f-4f21-9cc5-32d
|
|||||||
Cell[23003, 692, 1177, 34, 50, "Input",ExpressionUUID->"e2a90d7c-9765-4224-b6c1-0cb3ba56719e"],
|
Cell[23003, 692, 1177, 34, 50, "Input",ExpressionUUID->"e2a90d7c-9765-4224-b6c1-0cb3ba56719e"],
|
||||||
Cell[24183, 728, 193, 3, 35, "Text",ExpressionUUID->"4256ed0c-1e05-4553-a95a-370962e94038"],
|
Cell[24183, 728, 193, 3, 35, "Text",ExpressionUUID->"4256ed0c-1e05-4553-a95a-370962e94038"],
|
||||||
Cell[24379, 733, 707, 21, 58, "Input",ExpressionUUID->"d7507220-76aa-479e-af51-0886ad0e4f5c"]
|
Cell[24379, 733, 707, 21, 58, "Input",ExpressionUUID->"d7507220-76aa-479e-af51-0886ad0e4f5c"]
|
||||||
}, Open ]],
|
}, Closed]],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
Cell[25123, 759, 301, 4, 54, "Subsection",ExpressionUUID->"77af7129-5b6f-46d1-972e-088c04a397e1"],
|
Cell[25123, 759, 301, 4, 38, "Subsection",ExpressionUUID->"77af7129-5b6f-46d1-972e-088c04a397e1"],
|
||||||
Cell[25427, 765, 310, 7, 35, "Text",ExpressionUUID->"137a2815-3e41-4c54-bb77-2baab3309f67"],
|
Cell[25427, 765, 310, 7, 35, "Text",ExpressionUUID->"137a2815-3e41-4c54-bb77-2baab3309f67"],
|
||||||
Cell[25740, 774, 570, 16, 49, "Input",ExpressionUUID->"ee1a49a3-d78d-48fd-b18b-b45c556268d6"],
|
Cell[25740, 774, 570, 16, 49, "Input",ExpressionUUID->"ee1a49a3-d78d-48fd-b18b-b45c556268d6"],
|
||||||
Cell[26313, 792, 318, 6, 35, "Text",ExpressionUUID->"7f6139ea-87a7-485f-96a7-072785ed5a50"],
|
Cell[26313, 792, 318, 6, 35, "Text",ExpressionUUID->"7f6139ea-87a7-485f-96a7-072785ed5a50"],
|
||||||
@ -2439,18 +2713,18 @@ Cell[30425, 915, 153, 3, 35, "Text",ExpressionUUID->"8bfb35af-a4e4-4813-ae15-370
|
|||||||
Cell[30581, 920, 1240, 35, 50, "Input",ExpressionUUID->"60e340d1-6bd1-4928-9814-51c59353edd1"],
|
Cell[30581, 920, 1240, 35, 50, "Input",ExpressionUUID->"60e340d1-6bd1-4928-9814-51c59353edd1"],
|
||||||
Cell[31824, 957, 250, 4, 35, "Text",ExpressionUUID->"f5f45693-a80c-4a46-ad73-07811620c0d9"],
|
Cell[31824, 957, 250, 4, 35, "Text",ExpressionUUID->"f5f45693-a80c-4a46-ad73-07811620c0d9"],
|
||||||
Cell[32077, 963, 787, 23, 58, "Input",ExpressionUUID->"f99857fd-0430-402d-a733-929b6b359e23"]
|
Cell[32077, 963, 787, 23, 58, "Input",ExpressionUUID->"f99857fd-0430-402d-a733-929b6b359e23"]
|
||||||
}, Open ]],
|
}, Closed]],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
Cell[32901, 991, 348, 5, 54, "Subsection",ExpressionUUID->"ef62b877-dbc0-41f4-bb50-f7bab5069a50"],
|
Cell[32901, 991, 348, 5, 38, "Subsection",ExpressionUUID->"ef62b877-dbc0-41f4-bb50-f7bab5069a50"],
|
||||||
Cell[33252, 998, 252, 6, 35, "Text",ExpressionUUID->"5b10be0f-a732-422f-9446-681c78cbd103"],
|
Cell[33252, 998, 252, 6, 35, "Text",ExpressionUUID->"5b10be0f-a732-422f-9446-681c78cbd103"],
|
||||||
Cell[33507, 1006, 561, 17, 32, "Input",ExpressionUUID->"009be4dc-79a6-499d-b9af-ddbb9078f85a"],
|
Cell[33507, 1006, 561, 17, 32, "Input",ExpressionUUID->"009be4dc-79a6-499d-b9af-ddbb9078f85a"],
|
||||||
Cell[34071, 1025, 918, 28, 53, "Input",ExpressionUUID->"afd8bd15-999f-411c-a673-53d5b75e5201"],
|
Cell[34071, 1025, 918, 28, 53, "Input",ExpressionUUID->"afd8bd15-999f-411c-a673-53d5b75e5201"],
|
||||||
Cell[34992, 1055, 297, 4, 35, "Text",ExpressionUUID->"1fe4835f-3b82-458a-9e2a-9272922b081a"],
|
Cell[34992, 1055, 297, 4, 35, "Text",ExpressionUUID->"1fe4835f-3b82-458a-9e2a-9272922b081a"],
|
||||||
Cell[35292, 1061, 1329, 40, 58, "Input",ExpressionUUID->"b5e6e435-424a-4f3e-8416-709ae4356a73"],
|
Cell[35292, 1061, 1329, 40, 58, "Input",ExpressionUUID->"b5e6e435-424a-4f3e-8416-709ae4356a73"],
|
||||||
Cell[36624, 1103, 546, 14, 58, "Text",ExpressionUUID->"d05917ae-a767-4a78-834a-c4b18c1c0b13"]
|
Cell[36624, 1103, 546, 14, 58, "Text",ExpressionUUID->"d05917ae-a767-4a78-834a-c4b18c1c0b13"]
|
||||||
}, Open ]],
|
}, Closed]],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
Cell[37207, 1122, 419, 8, 54, "Subsection",ExpressionUUID->"bcd158fd-9aa7-4c7b-837e-afd37c54f55a"],
|
Cell[37207, 1122, 419, 8, 38, "Subsection",ExpressionUUID->"bcd158fd-9aa7-4c7b-837e-afd37c54f55a"],
|
||||||
Cell[37629, 1132, 571, 11, 81, "Text",ExpressionUUID->"a0112f10-d580-4370-a6ed-bff98b24a4a6"],
|
Cell[37629, 1132, 571, 11, 81, "Text",ExpressionUUID->"a0112f10-d580-4370-a6ed-bff98b24a4a6"],
|
||||||
Cell[38203, 1145, 2757, 86, 101, "Input",ExpressionUUID->"aabf1284-1a62-408f-8d1c-50c99b5acc35"],
|
Cell[38203, 1145, 2757, 86, 101, "Input",ExpressionUUID->"aabf1284-1a62-408f-8d1c-50c99b5acc35"],
|
||||||
Cell[40963, 1233, 278, 6, 35, "Text",ExpressionUUID->"88a4bd50-0ba7-4f7c-9fc0-e0feb01831fc"],
|
Cell[40963, 1233, 278, 6, 35, "Text",ExpressionUUID->"88a4bd50-0ba7-4f7c-9fc0-e0feb01831fc"],
|
||||||
@ -2458,10 +2732,10 @@ Cell[41244, 1241, 606, 19, 48, "Input",ExpressionUUID->"a889f096-9a50-426c-9cf3-
|
|||||||
Cell[41853, 1262, 355, 7, 35, "Text",ExpressionUUID->"d3c69495-05ef-49fe-8484-fa7fd62cc408"],
|
Cell[41853, 1262, 355, 7, 35, "Text",ExpressionUUID->"d3c69495-05ef-49fe-8484-fa7fd62cc408"],
|
||||||
Cell[42211, 1271, 1887, 55, 58, "Input",ExpressionUUID->"0138b572-760b-4f82-a618-73197e776fa2"],
|
Cell[42211, 1271, 1887, 55, 58, "Input",ExpressionUUID->"0138b572-760b-4f82-a618-73197e776fa2"],
|
||||||
Cell[44101, 1328, 452, 7, 35, "Text",ExpressionUUID->"b83db319-04e5-42b8-ae4c-57f93abe09fd"]
|
Cell[44101, 1328, 452, 7, 35, "Text",ExpressionUUID->"b83db319-04e5-42b8-ae4c-57f93abe09fd"]
|
||||||
}, Open ]]
|
}, Closed]]
|
||||||
}, Open ]],
|
}, Closed]],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
Cell[44602, 1341, 240, 4, 67, "Section",ExpressionUUID->"258ca12d-c8c5-4bc9-84ec-1711f7860786"],
|
Cell[44602, 1341, 240, 4, 53, "Section",ExpressionUUID->"258ca12d-c8c5-4bc9-84ec-1711f7860786"],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
Cell[44867, 1349, 347, 5, 54, "Subsection",ExpressionUUID->"ee1991f0-6627-4afa-871c-73710071f6fd"],
|
Cell[44867, 1349, 347, 5, 54, "Subsection",ExpressionUUID->"ee1991f0-6627-4afa-871c-73710071f6fd"],
|
||||||
Cell[45217, 1356, 324, 7, 58, "Text",ExpressionUUID->"a6c10556-4f53-4da2-8cf0-79bbf3ec1242"],
|
Cell[45217, 1356, 324, 7, 58, "Text",ExpressionUUID->"a6c10556-4f53-4da2-8cf0-79bbf3ec1242"],
|
||||||
@ -2489,7 +2763,7 @@ Cell[53896, 1603, 4284, 106, 217, "Input",ExpressionUUID->"8d489c13-936e-4272-b8
|
|||||||
Cell[58183, 1711, 2420, 71, 88, "Input",ExpressionUUID->"af4fe8f8-c3eb-4495-a149-b4bd1830693b"],
|
Cell[58183, 1711, 2420, 71, 88, "Input",ExpressionUUID->"af4fe8f8-c3eb-4495-a149-b4bd1830693b"],
|
||||||
Cell[60606, 1784, 2312, 69, 88, "Input",ExpressionUUID->"eb8a2378-386f-4e82-b835-17c5b76bd346"],
|
Cell[60606, 1784, 2312, 69, 88, "Input",ExpressionUUID->"eb8a2378-386f-4e82-b835-17c5b76bd346"],
|
||||||
Cell[CellGroupData[{
|
Cell[CellGroupData[{
|
||||||
Cell[62943, 1857, 2231, 57, 115, "Input",ExpressionUUID->"2f2c8334-f314-4d97-9abf-fd397dbace2b"],
|
Cell[62943, 1857, 2231, 57, 116, "Input",ExpressionUUID->"2f2c8334-f314-4d97-9abf-fd397dbace2b"],
|
||||||
Cell[65177, 1916, 1027, 17, 34, "Output",ExpressionUUID->"f04e12cb-ae53-4b96-8239-58bd2665964b"],
|
Cell[65177, 1916, 1027, 17, 34, "Output",ExpressionUUID->"f04e12cb-ae53-4b96-8239-58bd2665964b"],
|
||||||
Cell[66207, 1935, 1045, 18, 34, "Output",ExpressionUUID->"34d77878-3289-4d0f-a73e-9cb3a0e22085"]
|
Cell[66207, 1935, 1045, 18, 34, "Output",ExpressionUUID->"34d77878-3289-4d0f-a73e-9cb3a0e22085"]
|
||||||
}, Open ]],
|
}, Open ]],
|
||||||
@ -2499,6 +2773,34 @@ Cell[69165, 2013, 1938, 45, 49, "Input",ExpressionUUID->"6e23a9ca-c6d3-4d4a-b7ff
|
|||||||
Cell[71106, 2060, 15393, 272, 232, "Output",ExpressionUUID->"8d39ac9f-b54f-4448-9ce4-9e9afb22ba92"]
|
Cell[71106, 2060, 15393, 272, 232, "Output",ExpressionUUID->"8d39ac9f-b54f-4448-9ce4-9e9afb22ba92"]
|
||||||
}, Open ]]
|
}, Open ]]
|
||||||
}, Open ]]
|
}, Open ]]
|
||||||
|
}, Closed]],
|
||||||
|
Cell[CellGroupData[{
|
||||||
|
Cell[86560, 2339, 159, 3, 53, "Section",ExpressionUUID->"36f69d13-fe6b-4a04-acec-16703fdd0e12"],
|
||||||
|
Cell[86722, 2344, 403, 11, 35, "Text",ExpressionUUID->"17ce12bb-a006-40f9-ab62-8a0036a5342f"],
|
||||||
|
Cell[CellGroupData[{
|
||||||
|
Cell[87150, 2359, 461, 13, 47, "Input",ExpressionUUID->"44e4ae27-771e-4e10-b2a8-3f5c0700fb97"],
|
||||||
|
Cell[87614, 2374, 236, 5, 34, "Output",ExpressionUUID->"47184591-6c91-4963-aebc-73b69a443808"]
|
||||||
|
}, Open ]],
|
||||||
|
Cell[CellGroupData[{
|
||||||
|
Cell[87887, 2384, 586, 20, 67, "Input",ExpressionUUID->"31e71679-e385-4ae9-bf70-b310ce826eaf"],
|
||||||
|
Cell[88476, 2406, 221, 4, 34, "Output",ExpressionUUID->"dda12046-695a-4ac3-bf5e-c8600e6dcaef"]
|
||||||
|
}, Open ]],
|
||||||
|
Cell[88712, 2413, 498, 13, 35, "Text",ExpressionUUID->"0ad72096-b75c-4b05-aea4-1c9a3ba2d63e"],
|
||||||
|
Cell[89213, 2428, 487, 13, 35, "Text",ExpressionUUID->"f3cf0761-27e0-47e5-819a-4f76e0d90b9b"],
|
||||||
|
Cell[CellGroupData[{
|
||||||
|
Cell[89725, 2445, 560, 19, 69, "Input",ExpressionUUID->"77eca9b4-30de-4a4a-8d4c-a627ab7872b0"],
|
||||||
|
Cell[90288, 2466, 199, 3, 34, "Output",ExpressionUUID->"ef1cfa21-7595-4fd6-a4fa-a0c034a8b13d"]
|
||||||
|
}, Open ]],
|
||||||
|
Cell[90502, 2472, 741, 21, 35, "Text",ExpressionUUID->"c212926d-9477-4fee-9f18-1c758debf2c7"],
|
||||||
|
Cell[CellGroupData[{
|
||||||
|
Cell[91268, 2497, 660, 21, 69, "Input",ExpressionUUID->"40b08d32-7779-4afd-83c6-170f189f9a96"],
|
||||||
|
Cell[91931, 2520, 256, 7, 34, "Output",ExpressionUUID->"896c805b-7892-4f9b-ac07-361220bdc186"]
|
||||||
|
}, Open ]],
|
||||||
|
Cell[92202, 2530, 765, 20, 35, "Text",ExpressionUUID->"350a122c-6d8b-461e-bad5-e2fdbc14b8f2"],
|
||||||
|
Cell[CellGroupData[{
|
||||||
|
Cell[92992, 2554, 1083, 38, 69, "Input",ExpressionUUID->"ffbc7770-1424-4564-b99b-b9ad1c0639d4"],
|
||||||
|
Cell[94078, 2594, 448, 13, 55, "Output",ExpressionUUID->"27597e7b-3c41-49b8-9900-9077d931d997"]
|
||||||
|
}, Open ]]
|
||||||
}, Open ]]
|
}, Open ]]
|
||||||
}, Open ]]
|
}, Open ]]
|
||||||
}
|
}
|
||||||
|
Loading…
Reference in New Issue
Block a user