Analytic

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

Analytic can also have the following meanings:

Natural sciences

Chemistry

Analytical chemistry, the analysis of material samples to learn their chemical composition and structure
Analytical technique, a method that is used to determine the concentration of a chemical compound or chemical element
Analytical concentration

Mathematics

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
Analytic 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

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

Analytic proof, in structural proof theory, a proof whose structure is simple in a special way
Method of analytic tableaux, a fundamental concept in automated theorem proving

Miscellaneous mathematical disciplines

Analytic element method, a numerical method used to solve partial differential equations
Analytic manifold, a topological manifold with analytic transition maps

Computer science

Analytic or reductive grammar, a kind of formal grammar that works by successively reducing input strings to simpler forms
Analytics, to find meaningful patterns in data
Online analytical processing, interactive version of above

Miscellaneous natural scientific disciplines

Analytic signal, a particular representation of a signal
Analytical mechanics, a refined, highly mathematical form of classical mechanics
Analytical balance, a very high precision (0.1 mg or better) weighing scale

Philosophy

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

Psychology

Analytical psychology, part of the Jungian psychology movement
Cognitive analytic therapy, a form of psychological therapy initially developed in the UK by Anthony Ryle
Psychoanalysis, a set of psychological and psychotherapeutic theories and associated techniques

Sociology

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

Politics

Analytical Marxism, an interpretation of Marxism

Linguistics

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

Other areas

Analytical jurisprudence, the use of analytical reasoning to study legal theory
Analytic journalism, seeks to make sense of a complex reality in order to create public understanding
Analytic cubism, one of two major branches of the cubism artistic movement
Analytical skills