# Exclude one point from the RegionPlot

I'd like to ask you about the way of excluding just one point from this example:

myArg[z_] := Mod[Arg@z, 2 Pi]
RegionPlot[y > x && myArg[x + I y] <= Pi, {x, -2, 2}, {y, -2, 2}]


I want to exclude the $z \neq i$ $\mapsto$ point $(0,1)$.

Something like this:

• Excluding a point would look the same as not excluding it. Perhaps you want to exclude a small region around the point of interest? If so, would just placing a white Point be an acceptable solution to your needs?
– rm -rf
Oct 18, 2015 at 21:06
• Hard to remove just one point, but here's a fake plot: RegionPlot[ y > x && myArg[x + I y] <= Pi && Abs[x + I y - I] > 0.05, {x, -2, 2}, {y, -2, 2}, PlotPoints -> 75] Oct 18, 2015 at 21:09
• @R.M., I got your point. It's just for "educational usage" to show that $z \neq i$ is outside of the domain of a function. Oct 18, 2015 at 21:12
• @J.M.isback., thank you so much. That's the most useful fake plot I've seen today ;). Oct 18, 2015 at 21:15
• But, did you understand what I added to your code? Oct 18, 2015 at 21:18

Using the && operator he made the intersection of two sets:
RegionPlot[ y > x && myArg[x + I y] <= Pi