Can you solve this HARD math PhD complex number problem?
Can you solve this HARD complex number PhD problem? Suppose a complex number z satisfies z^n + (1-iz)^n = 0, then what is the imaginary part of z? This problem is from a complex analysis qualifying exam question given to entering PhD students at UC Irvine, and was suggested to me by a current postdoc at my university. It sounds very complicated but can be solved using first year complex analysis student techniques. It involves modulus of complex numbers, but not arguments or logarithms or cauchy's integral formula, as I originally thought.
Complex Analysis Overview: • Complex Analysis Overview
Complex Analysis Playlist: • Complex Analysis
YT channel: / drpeyam
TikTok channel: / drpeyam
Instagram: / peyamstagram
Twitter: / drpeyam
Teespring merch: https://teespring.com/stores/dr-peyam
Watch video Can you solve this HARD math PhD complex number problem? online without registration, duration hours minute second in high quality. This video was added by user Dr Peyam 28 April 2022, don't forget to share it with your friends and acquaintances, it has been viewed on our site 28,71 once and liked it 1.2 thousand people.