       Re: Pen Lift for FlybackTrace erasure

• To: mathgroup at smc.vnet.net
• Subject: [mg66863] Re: Pen Lift for FlybackTrace erasure
• From: Peter Pein <petsie at dordos.net>
• Date: Fri, 2 Jun 2006 04:08:21 -0400 (EDT)
• References: <e5jt1o\$e87\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Narasimham schrieb:
> Attempting to plot real/imaginary parts of a complex variable function
> , {Re,Im}= f [x,y]. But in what follows,
>
> 1) How to  ' lift pen '  for suppressing flyback tracer lines
> connecting  between  start/end points of  x and  y set curves?
>
> 2) How to combine plotting the sets by a single commad like it is in
> Plot3D or ParametricPlot3D?     __   TIA
>
> z = Complex[x,y]  ; f[z_]=Sin[z]; RI =  N[  { Re[f[z]],  Im[f[z]] } ];
> XY = Flatten[Table[ RI , {x, -Pi/2, Pi/2,Pi/10}, {y, -Pi/2, Pi/2,Pi/60}
> ],1] ;
> xy = ListPlot[XY,PlotJoined->True,AspectRatio->Automatic];
>
> YX=Flatten[Table[ RI , {y, -Pi/2,Pi/2,Pi/10}, {x, -Pi/2, Pi/2,Pi/60}
> ],1] ;
> yx=ListPlot[YX,PlotJoined->True,AspectRatio->Automatic];
> Show[xy,yx];
>

Hello Narasimham,

I'd try

<<Graphics`ComplexMap`
CartesianMap[Sin,{-Pi/2,Pi/2},{-Pi/2,Pi/2},Lines->{11,11}];

but to get your approach to display nicely (and simplify it a bit):

<<Graphics`Graphics`
DisplayTogether[
Block[{\$DisplayFunction=Identity, equidist=Pi* Range[-5,5]/10},
Join[ParametricPlot[Through[{Re,Im}[Sin[#+I*t]]],{t,-Pi/2,Pi/2},
PlotPoints->61]&/@equidist,
ParametricPlot[Through[{Re,Im}[Sin[t+I*#]]],{t,-Pi/2,Pi/2},
PlotPoints->61]&/@equidist]
],AspectRatio->Automatic
]

I hope this helps,

Peter

```

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