Tag: math
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The Partition Problem and the Possibility of an U.S. Electoral Stalemate
The Partition Problem and the Possibility of an U.S. Electoral Stalemate Michael Emmerich, November 4th 2024 1. Integer Partitionings This essay is about an interesting problem in computational mathematics, and its solution with integer linear programming. A didactic example is provided, that could motivate the problem and is closely related to the U.S. presidential election…
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RSA Cryptography: Alice and Bob
Bob and Alice sending each other messages (AI generated picture) Imagine trying to piece together a jigsaw puzzle with thousands of scattered pieces. It’s easy to make a mess, but nearly impossible to reassemble without knowing the original pattern. This is the core of a one-way function: simple to compute in one direction, but fiendishly…
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Triangularized: Sierpinski’s Gasket and Pascal’s Triangle
Triangularized: Sierpinski’s Gasket and Pascal’s Triangle Michael Emmerich, September 28th. 2024 Introduction The Sierpinski Gasket is a fractal pattern named after the Polish mathematician Wacław Sierpiński (1882–1969). Sierpiński was a prominent figure in set theory, number theory, and topology, and he introduced several well-known fractals, including the Sierpinski Gasket (also known as the Sierpinski Triangle)…
