File:ComplexEx2.jpg
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Summary
| Description |
English: f=exp(-z^2) in the comples z=x+iy plane. Levels of integer values of Re(f) are shown with thick black lines. Level of Im(f)=0 is shown with think green line.
Negative integer values of Im(f) are shown with thick red lines. Positive integer values of Im(f) are shown with thick blue lines. Intermediate levels of Im(f)=const are shown with thin green lines. Intermediate levels of Re(f)=const are shown with thin red lines for negative values and with thin blue lines for positive values. |
| Date | |
| Source |
 This diagram was created with Mathematica. << Graphics`ImplicitPlot`
RGB[x_, y_, z_] = RGBColor[x, y, z];
u=Re[Exp[-(x+I*y)^2]];
QR=ImplicitPlot[{u==-4,
u==-3, u==-2.8,u==-2.6,u==-2.4,u==-2.2,
u==-2., u==-1.8,u==-1.6,u==-1.4,u==-1.2,
u==-1., u==-0.8,u==-0.6,u==-0.4,u==-0.2,
u==0,u==0.2,u==0.4,u==0.6,u==0.8,
u==1.,u==1.2,u==1.4,u==1.6,u==1.8,
u==2.,u==2.2,u==2.4,u==2.6,u==2.8,
u==3.,u==4.},{x,-3,3},{y,-3,3},PlotPoints->120,
PlotStyle->{{Thickness[.01],RGB[1,0,0]},
Thickness[.01],RGB[1,0,0],RGB[1,0,0],RGB[1,0,0],RGB[1,0,0],
Thickness[.01],RGB[1,0,0],RGB[1,0,0],RGB[1,0,0],RGB[1,0,0],
Thickness[.01],RGB[1,0,0],RGB[1,0,0],RGB[1,0,0],RGB[1,0,0],
{Thickness[.01]},RGB[0,0,1],RGB[0,0,1],RGB[0,0,1],RGB[0,0,1],
{Thickness[.01]},RGB[0,0,1],RGB[0,0,1],RGB[0,0,1],RGB[0,0,1],
{Thickness[.01]},RGB[0,0,1],RGB[0,0,1],RGB[0,0,1],RGB[0,0,1],
{Thickness[.01]},{Thickness[.01]}
}];
u=Im[Exp[-(x+I*y)^2]];
QI=ImplicitPlot[{u==-4,
u==-3, u==-2.8,u==-2.6,u==-2.4,u==-2.2,
u==-2., u==-1.8,u==-1.6,u==-1.4,u==-1.2,
u==-1., u==-0.8,u==-0.6,u==-0.4,u==-0.2,
u==0,u==0.2,u==0.4,u==0.6,u==0.8,
u==1.,u==1.2,u==1.4,u==1.6,u==1.8,
u==2.,u==2.2,u==2.4,u==2.6,u==2.8,
u==3.,u==4.},{x,-3,3},{y,-3,3},PlotPoints->120,
PlotStyle->{{Thickness[.01],RGB[1,0,0]},
{Thickness[.01],RGB[1,0,1]},RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],
{Thickness[.01],RGB[1,0,0]},RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],
{Thickness[.01],RGB[1,0,0]},RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],
{Thickness[.01],RGB[0,1,0]},RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],
{Thickness[.01],RGB[0,0,1]},RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],
{Thickness[.01],RGB[0,0,1]},RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],RGB[0,1,0],
{Thickness[.01],RGB[0,0,1]},{Thickness[.01],RGB[0,0,1]}
}}}];
Show[QR, QI];
|
| Author | Domitori |
| Permission (Reusing this file) |
Use it for free. |
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 04:58, 14 July 2008 | | 288 × 288 (46 KB) | Domitori | {{Information |Description={{en|1=f=exp(-z^2) in the comples z=x+iy plane. Levels of integer values of Re(f) are shown with thick black lines. Level of Im(f)=0 is shown with think green line. Negative integer values of Im(f) are shown with thick red lines |
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