645 reputation
211
bio website msemac.redwoods.edu/~darnold/…
location Eureka, California
age
visits member for 1 year, 3 months
seen Mar 12 at 3:45

Jan
22
accepted Eliminate complex answer to differential equation
Jan
22
asked Eliminate complex answer to differential equation
Jan
14
accepted Error entering equation in DSolve
Jan
13
comment Error entering equation in DSolve
That worked! Thanks.
Jan
13
asked Error entering equation in DSolve
Dec
26
awarded  Yearling
Dec
7
awarded  Popular Question
Aug
18
asked Draw the image of a complex region
May
12
awarded  Nice Question
Apr
19
asked Laurent series expansion
Apr
2
awarded  Enthusiast
Mar
31
asked Convergence and value of a complex power series
Mar
22
asked Manipulate fails with f[x]=x^k/(1+x^k)
Mar
22
asked Solve f'[x]==0 for x
Mar
15
asked How do I add a color bar to a 3D plot?
Mar
5
comment Image of first quadrant under $f(z)=(z+i)/(z-i)$
ImageSize->400 worked. Thanks.
Mar
5
comment Image of first quadrant under $f(z)=(z+i)/(z-i)$
The Manipulate example is outstanding. This really helps one explore properly the region. Is there a way to make the result a little larger? It's a little to small for my old eyes.
Mar
5
comment Image of first quadrant under $f(z)=(z+i)/(z-i)$
Although this extra link is amazing, I don't think it is a duplicate, because I am asking for a technique on how to "shade" the image of the region under the mapping $f(z)$.
Mar
5
comment Image of first quadrant under $f(z)=(z+i)/(z-i)$
The difficulty in this drawing is the fact that you will have to take the domain out to infinity in order to get the right shading of the image region under f[z]. I wonder if anyone has any thoughts or strategies on that. I try the following, but that fixes up the end a bit but messes up the beginning: f[z_] := (z + I)/(z - I); pp = ParametricPlot[{Re@#, Im@#} &@f[x + I y], {x, 0, 50}, {y, 0, 50}, PlotRange -> 2]
Mar
5
comment Image of first quadrant under $f(z)=(z+i)/(z-i)$
When one draw these types of plots, they can be very confusing at first glance. If you have some knowledge of what to expect beforehand, then you can sort of figure out what you are looking at. However, that's not really the case if you don't have advanced knowledge. One thing that would be helpful is if you could do a side-by-side plot, the first of z, the second of f[z]. If you could color the four borders of z in four different colors, then match the borders in f[z] with the same corresponding colors, that would be really helpful.