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02-02Notes

A working library of the mathematics behind the analysis.

524 notes in 7 areas, from notation to machine learning. Each takes one formula: what it says, a small worked example, and code that runs. Revised in place. Page 8 of 22.

IndexAll notes

02-02-169Cosine SimilarityLinear algebra and geometryAdvanced distance and similarity metrics 02-02-170Embedding SimilarityLinear algebra and geometryAdvanced distance and similarity metrics 02-02-171Jaccard Similarity (IoU)Linear algebra and geometryAdvanced distance and similarity metrics 02-02-172k-Nearest NeighborsLinear algebra and geometryAdvanced distance and similarity metrics 02-02-173Mahalanobis DistanceLinear algebra and geometryAdvanced distance and similarity metrics 02-02-174Manhattan Distance (L₁ norm, p=1)Linear algebra and geometryAdvanced distance and similarity metrics 02-02-175Minkowski Distance (Lₚ norm)Linear algebra and geometryAdvanced distance and similarity metrics 02-02-176Vector Search (Approximate Nearest Neighbors)Linear algebra and geometryAdvanced distance and similarity metrics 02-02-177CircleLinear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-178Circular TorusLinear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-179CylinderLinear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-180EllipseLinear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-181EllipsoidLinear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-182HyperbolaLinear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-183ParabolaLinear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-184Plane EquationLinear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-185SphereLinear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-186Straight Line (Distance from point M(x₁, y₁))Linear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-187Straight Line (General Form)Linear algebra and geometryAnalytic geometry: shapes, perimeter, area, volume 02-02-188Inner product geometryLinear algebra and geometryAngles and orthogonality 02-02-189Orthogonality conditionLinear algebra and geometryAngles and orthogonality 02-02-1902D DistanceLinear algebra and geometryDistance metrics and norms 02-02-1913D DistanceLinear algebra and geometryDistance metrics and norms 02-02-192Absolute homogeneityLinear algebra and geometryDistance metrics and norms