File:ComplexErf.jpg
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Summary
| Description |
English: f=erf(z) in the complex z plane. Levels of integer values of Re(f) are shown with thick black lines. Level of Im(f)=0 is shown with thin 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[Erf[x+I*y]];
QP=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[Erf[x+I*y]];
PI=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[PR, PI];
|
| Author | Domitori |
| Permission (Reusing this file) |
Use it for free. Add any copyleft license you like. Copy, distribute, modify it as you like, but indicate the source; then, if any errors, the letter with corrections will find me. |
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Licensing
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
- You are free:
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 05:11, 14 July 2008 | | 288 × 288 (45 KB) | Domitori | {{Information |Description={{en|1= f=erf(z) 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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