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Abstract analytic number theory, the application of ideas and techniques from analytic number theory to other mathematical fields •
Analytic combinatorics, a branch of combinatorics that describes combinatorial classes using generating functions •
Analytic element method, a numerical method used to solve partial differential equations •
Analytic expression or analytic solution, a mathematical expression using well-known operations that lend themselves readily to calculation •
Analytic geometry, the study of geometry based on numerical coordinates rather than axioms •
Analytic number theory, a branch of number theory that uses methods from mathematical analysis
Mathematical analysis •
Analytic function, a function that is locally given by a convergent power series •
Analytic capacity, a number that denotes how big a certain bounded analytic function can become •
Analytic continuation, a technique to extend the domain of definition of a given analytic function •
Analytic manifold, a topological manifold with analytic transition maps •
Analytic variety, the set of common solutions of several equations involving analytic functions
Set theory •
Analytical hierarchy, an extension of the arithmetical hierarchy •
Analytic set, the continuous image of a Polish space
Proof theory •
Analytic proof, in structural proof theory, a proof whose structure is simple in a special way •
Analytic tableau, a tree structure used to analyze logical formulas ==Computer science==