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calendar_today October 27, 2026 article 3965 words access_time 22 min replay Modified October 27, 2026

#spherical-harmonics #mathematics #physics #linear-algebra #legendre-polynomials

The Beauty of Spherical Harmonics, Part 1: Building the Basis

Functions on a sphere are vectors. Humor me for a minute.

calendar_today October 27, 2026 article 2760 words access_time 21 min replay Modified October 27, 2026

#spherical-harmonics #mathematics #physics #laplace-equation #electrostatics #fourier-series

The Beauty of Spherical Harmonics, Part 2: Solving Laplace's Equation

But how do we actually determine $c_{\ell m}$?

calendar_today October 27, 2026 article 3401 words access_time 25 min replay Modified October 27, 2026

#spherical-harmonics #mathematics #physics #bessel-functions #quantum-mechanics

The Beauty of Spherical Harmonics, Part 3: Diagonalize and Decouple

Why does a drum have no clear pitch?

calendar_today October 13, 2024 article 563 words access_time 3 min replay Modified October 13, 2024

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Basically, I don't track you.

calendar_today October 12, 2024 article 1548 words access_time 5 min replay Modified October 13, 2024

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Discover the tech stack that powers this website.

calendar_today October 8, 2024 article 1148 words access_time 4 min replay Modified September 15, 2026

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About Me

Learn more about me and my background.

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