How to find region of complex z-plane on complex w-plane

Math123 shared this question 3 years ago

Answered

How can plot a region in domain (input z-plane) of complex function to range(output w-plane). As in attached. I need to draw different region in z-plane like circular disk, rectangular disk, and any curve region / arbitrary region and plot this region in w-plane under some complex function.

Files: complex region.ggb

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Comments (7)

gregory ● 3 years ago

If I understand your question correctly, you want a function with a complex domain and real range (eg. f(x) = imaginary(sqrt(x)) to be plotted on the XYZ space (f(x+yi)=z).

For this, you want to use the surface command:

c=Surface(a,b,real(f(a+b*ί)),a,-5,5,b,-5,5)

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Math123 ● 3 years ago

Thanks @gregory for your reply . Pls see attached in question. As in the case of circle in graphics-1 i can use locus of points in graphics-2 under some complex function, So i can drag and see the effect of circle . I want this same in terms of selecting a region.Like i draw a disk in 2-D z-plane Graphics-1 and by dragging i can see the effect of complete region of disk under transformation of some complex function in 2-D w-Plane Graphics. Same as in attached i am doing with circle and line. I want to do the same by selecting the region enclosed. Pls give me the solution for this problem.

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Math123 ● 3 years ago

You can drag a circle in attached and see the effect. The same effect i want to see with region enclosed example disk i made .

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gregory ● 3 years ago

Hi, I understand your question now. I am sorry, but I do not know how to do that.

I will keep on trying and will tell you if I have a breakthrough.

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Math123 ● 3 years ago

Thanks @gregory. If you are part of developers of geogebra. I found this one the best software. but there are many things need to add in geogebra because of uers demand. It will become more useful and single solution software. Hope Geogebra team add these features in near future. Like i also want to add curve length on circle with vector arrow to explain 2D angular velocity . So the length of curve explain magnitude and direction explain by orientation.

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gregory ● 3 years ago

I am actually not a GeoGebra developer, but I hope that they consider your suggestions and present or create a solution for your problem.

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gregory ● 3 years ago

Ok, it seems like it is not possible yet, however, I have found a thread recommending the same thing: https://help.geogebra.org/t...

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