# Toronto Math Forum

## MAT334--2020F => MAT334--Lectures & Home Assignments => Chapter 1 => Topic started by: Zhekai Pang on September 15, 2020, 07:47:28 PM

Title: More on inversion
Post by: Zhekai Pang on September 15, 2020, 07:47:28 PM
In addition to the last slide of today's lecture.
Title: Re: More on inversion
Post by: RunboZhang on September 16, 2020, 03:46:45 PM
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?
Title: Re: More on inversion
Post by: Victor Ivrii on September 17, 2020, 01:58:27 PM
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)