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 15 of 22.
IndexAll notes
02-02-337Maclaurin Series02-02-338Multivariate Taylor Series02-02-339Taylor Series Expansion (1D)02-02-340Approximation (Stirling's)02-02-341Definition02-02-342Zero Factorial02-02-343Combinations (Unordered, no repeats)02-02-344Combinations (Unordered, with repeats)02-02-345Permutations (Ordered, no repeats)02-02-346Permutations (With repeats Grouping)02-02-347Selection of at least one object (from n distinct)02-02-348Correlation Coefficient (Pearson's rho)02-02-349Covariance Definition02-02-350Covariance Identity02-02-351Chi-Square Test Statistic02-02-352Confidence Interval (Z-Interval)02-02-353Standard Error of the Mean (SEM)02-02-354T-Statistic (1-Sample)02-02-355Cross-Entropy02-02-356Kullback-Leibler (KL) Divergence02-02-357Log Probabilities02-02-358Mutual Information02-02-359Perplexity02-02-360Shannon Entropy