Category: Mathematics

Collatz conjecture insanity

by insecure_automaton

They say working on the Collatz conjecture will drive a mathematician mad. Paul Erdős, in speaking of the Collatz conjecture, once said, “Mathematics is not ready for such problems.” Read more: https://en.wikipedia.org/wiki/Collatz_conjecture

 

Collatz conjecture step frequency from 1 to 1e6.
 Collatz conjecture step frequency from 1 to 1e6.

A ‘Rebel’ Without a Ph.D.

by insecure_automaton
A conversation with the mathematical physicist Freeman Dyson on quantum electrodynamics, climate change and his latest pet project: https://www.quantamagazine.org/a-math-puzzle-worthy-of-freeman-dyson-20140326/

The second 100,000 primes and their reciprocals (1/x) to 500 significant digits

by insecure_automaton

As with the first 100K primes, this is a large CSV file (~50MB) tarred to ~25MB. Column 1 contains the primes, adjacent cells in column 2 contain the reciprocals.

Download from my GitHub here.

The first 100,000 primes and their reciprocals (1/x) to 500 significant digits

by insecure_automaton

Beware, this is a large CSV file (~50MB) tarred to ~25MB. Column 1 contains the primes, adjacent cells in column 2 contain the reciprocals.

Download here.

Multi-attribute utility

by insecure_automaton

Helpful in decision-making when preferred weights of risks vs benefits need some structure: https://en.m.wikipedia.org/wiki/Multi-attribute_utility

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