Another one of my favorite things in the #MultiverseOfMathness in 2022:
Discovering that the window upstairs in #DoctorStrange's big house (the #SanctumSanctorum) makes for an excellent #UnitCircle
#mathed #mtbos #iteachmath #unitcircle #sanctumsanctorum #doctorstrange #MultiverseOfMathness
Seen on TBBBS:
1. Consider a random #polynomial with degree "n"
\[
P(z) = a_n z^n + ... + a_1 z + a_0
\]
where the coefficients are random complex Gaussian numbers.
Choose the degree "n" large.
2. Compute the #complex roots and plot them.
3. Wonder why they concentrate on the #UnitCircle
From here:
#unitcircle #complex #polynomial