imported>Caesar Schinas |
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| == Summary == | | == Summary == |
| {{Image_Details
| | Importing file |
| |description = Plot of factorial of complex argument. In the complex <math>z</math>-plane,
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| the lines of constant <math>u=\Re(z!)</math> and
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| the lines of constant <math>v=\Im(z!)</math> are shown.
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| The levels
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| <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>
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| are drown with thick black lines.
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| some of intermediate levels <math>u=</math>const are shown with thin blue lines for positive values and with thin red lines for negative values.<br>
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| The levels
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| <math>v= -24, -20, -16, -12, -8,-7,-6,-5,-4,-3,-2,-1</math>
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| are shown with thick red lines.<br>
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| The level <math>v=0</math>
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| is shown with thick pink lines.<be>
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| The levels
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| <math>v=1,2,3,4,5,6,7,8,12,16,20,24</math>
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| are drown with thick blue lines.
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| some of intermediate levels <math>v=</math>const are shown with thin green lines.<br>
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| The dashed blue line shows the level
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| <math>u=\mu_0\approx 0.88560319441</math> and corresponds to the value of the principal local minimum of the factorial of the real argument.<br>
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| The dashed red line shows the level
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| <math>u=\mu_1\approx -3.544643611</math> and corresponds to the value of the first local maximum of the factorial of the real argument.
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| |author = Dmitrii Kouznetsov
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| |copyright = Dmitrii Kouznetsov
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| |source = [[factorialz.jpg/code]]
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| |date-created = January 2009
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| |pub-country = Japan
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| |notes =
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| |versions =
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| }}
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| == Licensing/Copyright status ==
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| {{CC|by|1.0}}
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