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Implementation of multiple linear regression on real data: Assumption checks, model evaluation, and interpretation of results using Python.

The physical meaning of multiplying a matrix by a vector, and how it works on several special matrices.

We think basis-free, we write basis-free, but when the chips are down we close the office door and compute with matrices like fury.

A selection of our most-read and -shared articles of the past month

The iterated logarithm comes up occasionally in the analysis of algorithms. It's also useful for giving a compact way to describe unimaginably large numbers.

The additive persistence of a number is related to iteratively casting out nines. Multiplicative persistence is analogous but more interesting.

The binomial number system represents numbers as (a, b, c) where every number is the sum C(a, 1) + C(b, 2) + C(c, 3).

Positional number systems typically have a integer base, but irrational and even complex bases are possible. The golden ratio was the first irrational base.

Two ways of computing the Euler-Mascheroni constant, one much better than the other. Discussing software that's even better.