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The notebook

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Problems to solve, ideas to explore, and things to learn.

Problem Solution included

Simple but Fun

A permutation of an odd-sized set produces an even product. Can you see why?

number theoryparity
Exploration

Sampling Brownian Motion

From independent Gaussian increments to a sample path, with a small NumPy implementation.

probabilityPythonsimulation
Problem Solution included

Hilbert Matrices

A deceptively simple matrix: can you prove it is always nonsingular?

linear algebraanalysis
Problem Solution included

Conservative Polynomials

What happens to a polynomial when we take its absolute value?

algebrapolynomials