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Generally speaking, analytic (from Greek: ἀναλυτικός, analytikos) refers to the "having the ability to analyze" or "division into elements or principles".

It can also have the following meanings:

Natural sciences[edit]



  • Abstract analytic number theory, the application of ideas and techniques from analytic number theory to other mathematical fields
  • Analytic capacity, a number that denotes how big a certain bounded analytic function can become
  • Analytic combinatorics, a branch of combinatorics that describes combinatorial classes using generating functions
  • Analytic continuation, a technique to extend the domain of definition of a given analytic function
  • Analytical expression, a mathematical expression using well-known operations that lend themselves readily to calculation
  • Analytic function, a function that is locally given by a convergent power series
  • Analytic geometry, the study of geometry using the principles of algebra
  • Analytic number theory, a branch of number theory that uses methods from mathematical analysis
  • Analytic solution: a solution to a problem that can be written in "closed form" in terms of known functions, constants, etc.
  • Analytic variety, the set of common solutions of several equations involving analytic functions

Set theory[edit]

  • Analytical hierarchy, an extension of the arithmetical hierarchy
  • Analytic set, if it is a continuous image of a Polish space. These sets were first defined by Luzin (1917) and his student Souslin (1917)
  • Lightface analytic game, a game whose payoff set A is a subset of Baire space; that is, there is a tree T on which is a computable subset of, such that A is the projection of the set of all branches of T

Proof theory[edit]

Miscellaneous mathematical disciplines[edit]

Computer science[edit]

Miscellaneous natural scientific disciplines[edit]


  • Analytic philosophy, a style of philosophy that came to dominate English-speaking countries in the 20th century
  • Analytic proposition, a statement whose truth can be determined solely through analysis of its meaning
  • Analytical Thomism, the movement to present the thought of Thomas Aquinas in the style of modern analytic philosophy
  • Postanalytic philosophy, describes a detachment from the mainstream philosophical movement of analytic philosophy, which is the predominant school of thought in English-speaking countries

Social sciences[edit]



  • Analytic induction, the systematic examination of similarities between various social phenomena to develop concepts or ideas
  • Analytic frame, a detailed sketch or outline of some social phenomenon, representing initial idea of a scientist analyzing this phenomenon



  • Analytic language, a natural language in which most morphemes are free (separate), instead of fused together

Other areas[edit]

See also[edit]