MAT334--2020F > Chapter 1

More on inversion

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Zhekai Pang:
In addition to the last slide of today's lecture.

RunboZhang:
Hi Zhekai, thank you for your sharing. I have two questions regarding your notes. Firstly, how did you derive A prime and B prime? Did you convert A and B in polar form and calculate their inverse, and then represent on the graph? Secondly, how did you know that z*zbar = r^2?

Victor Ivrii:
Note that our inversion differs from geometric one $\vec{z}\to \frac{\vec{x}}{|\vec{x}|^2}$. It includes a mirror-reflection. See handout (I made a picture based on your example, corrected. Thanks a lot)