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 1 of 22.
IndexAreas
01FoundationsMaths symbols · Number sets and logic02Algebra and precalculusAlgebra and factoring · Arithmetic and absolute value · Exponentials and logarithms · Powers, roots and inequalities · Summation and limit manipulations03Linear algebra and geometryAdvanced linear algebra and decompositions · Matrices and determinants · Spatial distance, norms and analytic geometry · Vectors and dimensionality04Calculus and optimisationContinuous optimisation · Differential calculus · Integral calculus · Multivariable calculus and matrix calculus · Series and transforms05Probability and statisticsCombinatorics · Multivariable statistics and information · Probability theory · Statistical operations and random variables06Machine learningMachine learning algorithms · Machine learning foundations · Network analysis: graph theory · Topological data analysis (TDA)07Economics and businessFinancial mathematics · Macroeconomics and business operations · Population and labor force metricsIndexAll notes
02-02-001Absolute value02-02-002Approximation02-02-003Ceiling brackets02-02-004Change Delta02-02-005Closed interval02-02-006Equal by definition02-02-007Equivalence02-02-008Euler number02-02-009Euler-Mascheroni constant02-02-010Factorial02-02-011Floor brackets02-02-012Function composition02-02-013Golden ratio02-02-014Infinity02-02-015Much less greater02-02-016Open interval02-02-017Product02-02-018Proportional to02-02-019Summation02-02-020Weak approximation02-02-021Because Since02-02-022Equivalent iff02-02-023Exclusive OR02-02-024For all