File:ComplexEx2.jpg
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 |
Category:PNG created with Mathematica#ComplexEx2.jpg
<< 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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