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STUDY NOTES

Curated Study Notes & Verifications

Personal distillations, derivations, and independent code verifications from coursework in linear algebra, optimization, probability, and machine learning systems.

Scope & CommitmentThese articles are structured study notes and independent verifications from academic coursework, separate from production backend benchmarks.
Mathematics & ML• 13 Oct 2026• 3 min read

The Geometry Behind Vector Search

Study notes: the dot product as a projection, why cosine and Euclidean distance rank alike on unit vectors, what pgvector's three operators compute, and what a shared offset does to cosine.

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