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#curvature

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01 ·Calculus & Optimization·★ MEMBER·11 min read Jacobians and Hessians — Multivariable Calculus, Drawn The Jacobian is a magnifying glass at a point; the Hessian is how sharply the ground curves there. From local linearization to what eigenvalues say about the terrain, why Newton's method is fast on paper but absent in practice, and how to get Hessian information in a billion dimensions without ever building the matrix.