File:LogFactorialZ.jpg: Difference between revisions

Latest revision as of 19:54, 11 March 2022

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current	19:54, 11 March 2022		1,237 × 965 (717 KB)	Maintenance script (talk \| contribs)	== Summary == Importing file

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 == Summary ==
-{{Image_Details|user
+Importing file
-|description  = LogFactorial(z) in the complex z-plane.<br>
-Levels of constant <math>u=\Re(\mathrm{LogFactorial}(z))</math> and
-Levels of constant <math>v=\Im(\mathrm{LogFactorial}(z))</math> are drawn with solid lines:<br>
-Levels <math>u=-24,-20,-16,-12,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,12,16,20,24</math> are shown with thick black curves. <br>
-Levels <math>u=
--3.8,-3.6,-3.4,-3.2
--2.8,-2.6,-2.4,-2.2
--1.8,-1.6,-1.4,-1.2
--0.8,-0.6,-0.4,-0.2</math> are shown with thin red curves.<br>
-Levels <math>u=
-.2,0.4,0.6,0.8
-.2,1.4,1.6,1.8
-.2,2.4,1.6,2.8
-.2,3.4,3.6,3.8</math> are shown with thin blue curves.<br>
-Levels <math>v=-24,-20,-16,-12,-8,-7,-6,-5,-4,-3,-2,-1</math> are shown with thick red curves.<br>
-Level <math>v=0</math> is shown with thick pink line.<br>
-Levels <math>v=1,2,3,4,5,6,7,8,12,16,20,24</math> are  shown with thick blue lines.<br>
-Levels <math>v=
--3.8,-3.6,-3.4,-3.2
--2.8,-2.6,-2.4,-2.2
--1.8,-1.6,-1.4,-1.2
--0.8,-0.6,-0.4,-0.2
-.2,0.4,0.6,0.8
-.2,1.4,1.6,1.8
-.2,2.4,1.6,2.8
-.2,3.4,3.6,3.8</math> are shown with thin green curves.<br>
-The cut of range of [[holomorphism]] is shown with black dashed line.
-|author       = {{#if:Dmitrii Kouznetsov|[[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]}}
-|date-created = 2009
-|pub-country  =
-|notes        = the code of the generator of the pic: [[LogFactorialZ.jpg/code]]
-|versions     =
-}}
-== Licensing/Copyright status ==
-{{CC|by-nd|3.0}}