An interesting phenomenon encountered while examining the numerical range of a simple matrix. A series of plots reveals an ellipsis emerging from some equation with some beautiful patterns when visualising it.
Implementation of various fitting procedures concerning the chebyshev polynomials. This kind of polynomials are orthogonal to each other, this gives enough motivation use them.
We talk about the Cauchy-Schwartz Inequalities in the Real and Complex plane. Also, the final part on how it's defined in a quantum computation book by Nielsen and Chuang.
It's a small piece of code with the mathematical formulation. It's based on the mahalanobis distance and the lagrange multipliers.