Essay
The Curse of Dimensionality
Why high-dimensional data breaks the statistics you were taught, and what you can actually do about it.
11 min read
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On Writing
Occasional writing on mathematics, statistics, and the methods I use in my technical work, including co-author paper. For each piece I try to aims for clarity over brevity, and for first principles over received wisdom.
Archive 4 essays
Essay
Numerical Dynamics in Practice: Euler to RK4, Van der Pol, and N-Body Orbits
How three simple integrators behave on real problems: exponential growth, a stiff Van der Pol oscillator, and three-body figure-eight orbits.
7 min read
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Essay
Russell's Paradox: The Question That Broke a Foundation
How a single question in a 1901 letter collapsed Frege's project to build mathematics out of pure logic.
6 min read
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Essay
The Golden Ratio: An Equation in Architecture, Geometry, and Fibonacci
Why φ = (1 + √5)/2 keeps reappearing, from a single quadratic equation to the proportions of the Great Pyramid of Giza.
5 min read
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