While surfing around the Internet recently I encountered the 's-plane to z-plane mapping' diagram shown in Figure 1. At first I thought the diagram was neat because it's a good example of the old English idiom: "A picture is worth a thousand words." However, as I continued to look at Figure 1 I began to detect what I believe are errors in the diagram.

Reader, please take a few moments to see if you detect any errors in Figure 1.

Figure 1: One (incorrect) Internet 's-plane to z-plane

mapping' diagram.

I have drawn what I think is a corrected version of Figure 1. Given the various loci of points in Figure 1's s-plane, my version of a correct 's-plane to z-plane mapping' diagram shown in Figure 2.

Figure 2: Corrected 's-plane to z-plane mapping' diagram.



Hopefully me Figure 2 is worth 1001 words. If there are any errors in that figure I hope a perceptive reader lets me know.