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Mathematics数学
Linear algebra, probability, optimization — math for engineering — 3 notes, primary or secondary.
- Note2026.08Flow Matching ODE Solvers, Illustrated
Sampling an image is numerically integrating an ODE. Five classic solvers — Euler, Midpoint, Heun, RK4, Dopri5 — taken apart, with real integrations behind every animation.
- Note2026.08Fourier & DCT: From Frequency to Energy Compaction
From Fourier series to the DCT's energy-compaction property — why a DCT makes a smooth signal's energy pile up onto a handful of low-frequency coefficients.
- Note2026.08Lie Theory: An Intuitive Introduction
Lie theory carries optimization over curved spaces — rotations, poses — back into ordinary vector calculus, from manifolds and tangent spaces to hat/vee, exp/log and a hand-written SO(3).