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