Generally speaking, analytic (from el, ἀναλυτικός, ''analytikos'') refers to the "having the ability to analyze" or "division into elements or principles". Analytic or analytical can also have the following meanings:

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 Molar concentration (also called molarity, amount concentration or substance concentration) is a measure of the concentration of a chemical species, in particular of a solute in a solution, in terms of amount of substance per unit volume of so ...

Mathematics

Abstract analytic number theory Abstract analytic number theory is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a proto ...

, the application of ideas and techniques from analytic number theory to other mathematical fields *

Analytic combinatorics In combinatorics, the symbolic method is a technique for counting combinatorial objects. It uses the internal structure of the objects to derive formulas for their generating functions. The method is mostly associated with Philippe Flajolet a ...

, a branch of combinatorics that describes combinatorial classes using generating functions *

Analytic element method The analytic element method (AEM) is a numerical method used for the solution of partial differential equations. It was initially developed by O.D.L. Strack at the University of Minnesota. It is similar in nature to the boundary element method (BEM ...

, a numerical method used to solve partial differential equations *

Analytic expression In mathematics, a closed-form expression is a mathematical expression that uses a finite number of standard operations. It may contain constants, variables, certain well-known operations (e.g., + − × ÷), and functions (e.g., ''n''th roo ...

or analytic solution, a mathematical expression using well-known operations that lend themselves readily to calculation *

Analytic geometry In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry. Analytic geometry is used in physics and engineer ...

, the study of geometry based on numerical coordinates rather than axioms *

Analytic number theory In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Diri ...

, a branch of number theory that uses methods from mathematical analysis

Mathematical analysis

Analytic function In mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions. Functions of each type are infinitely differentiable, but complex ...

, a function that is locally given by a convergent power series *

Analytic capacity In the mathematical discipline of complex analysis, the analytic capacity of a compact subset ''K'' of the complex plane is a number that denotes "how big" a bounded analytic function on C \ ''K'' can become. Roughly speaking, ''γ''('' ...

, a number that denotes how big a certain bounded analytic function can become *

Analytic continuation In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of definition of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a ...

, a technique to extend the domain of definition of a given analytic function *

Analytic manifold In mathematics, an analytic manifold, also known as a C^\omega manifold, is a differentiable manifold with analytic transition maps. The term usually refers to real analytic manifolds, although complex manifolds are also analytic. In algebraic g ...

, a topological manifold with analytic transition maps *

Analytic variety In mathematics, and in particular differential geometry and complex geometry, a complex analytic variety Complex analytic variety (or just variety) is sometimes required to be irreducible and (or) reduced or complex analytic space is a generali ...

, the set of common solutions of several equations involving analytic functions

Set theory

Analytical hierarchy In mathematical logic and descriptive set theory, the analytical hierarchy is an extension of the arithmetical hierarchy. The analytical hierarchy of formulas includes formulas in the language of second-order arithmetic, which can have quantifiers ...

, an extension of the arithmetical hierarchy *

Analytic set In the mathematical field of descriptive set theory, a subset of a Polish space X is an analytic set if it is a continuous image of a Polish space. These sets were first defined by and his student . Definition There are several equivalent d ...

, the continuous image of a Polish space

Proof theory

Analytic proof In mathematics, an analytic proof is a proof of a theorem in analysis that only makes use of methods from analysis, and which does not predominantly make use of algebraic or geometrical methods. The term was first used by Bernard Bolzano, who firs ...

, 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

* Analytic or reductive grammar, a kind of

formal grammar In formal language theory, a grammar (when the context is not given, often called a formal grammar for clarity) describes how to form strings from a language's alphabet that are valid according to the language's syntax. A grammar does not describe ...

that works by successively reducing input strings to simpler forms *

Analytics Analytics is the systematic computational analysis of data or statistics. It is used for the discovery, interpretation, and communication of meaningful patterns in data. It also entails applying data patterns toward effective decision-making. It ...

, to find meaningful patterns in data

Other science and technology

Analytic signal In mathematics and signal processing, an analytic signal is a complex-valued function that has no negative frequency components. The real and imaginary parts of an analytic signal are real-valued functions related to each other by the Hilbe ...

, a particular representation of a signal *

Analytical mechanics In theoretical physics and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related alternative formulations of classical mechanics. It was developed by many scientists and mathematicians during the ...

, a refined, highly mathematical form of classical mechanics *

Analytical balance An analytical balance (or chemical ''balance'') is a class of balance designed to measure small mass in the sub-milligram range. The measuring pan of an analytical balance (0.1 mg resolution or better) is inside a transparent enclosure with d ...

, a very high precision (0.1 mg or better) weighing scale

Philosophy

Analytic philosophy Analytic philosophy is a branch and tradition of philosophy using analysis, popular in the Western world and particularly the Anglosphere, which began around the turn of the 20th century in the contemporary era in the United Kingdom, United Sta ...

, 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 Analytical Thomism is a philosophical movement which promotes the interchange of ideas between the thought of Thomas Aquinas (including the philosophy carried on in relation to his thinking, called 'Thomism'), and modern analytic philosophy. S ...

, 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 Analytical psychology ( de , Analytische Psychologie, sometimes translated as analytic psychology and referred to as Jungian analysis) is a term coined by Carl Jung, a Swiss psychiatrist, to describe research into his new "empirical science" ...

, 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 Analytic induction is a research strategy in sociology aimed at systematically developing causal explanations for types of phenomena. It was first outlined by Florian Znaniecki in 1934. He contrasted it with the kind of enumerative induction charact ...

, the systematic examination of similarities between various social phenomena to develop concepts or ideas *

Analytic frame Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (3 ...

, a detailed sketch or outline of some social phenomenon, representing initial idea of a scientist analyzing this phenomenon

Politics

Analytical Marxism Analytical Marxism is an approach to Marxist theory that was prominent amongst English-speaking philosophers and social scientists during the 1980s. Described by G. A. Cohen as "non-bullshit Marxism", members of this school seek to apply the ...

, an interpretation of Marxism

Linguistics

Analytic language In linguistic typology, an analytic language is a language that conveys relationships between words in sentences primarily by way of ''helper'' words (particles, prepositions, etc.) and word order, as opposed to using inflections (changing the f ...

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

Other areas

Analytical jurisprudence Analytical jurisprudence is a philosophical approach to law that draws on the resources of modern analytical philosophy to try to understand its nature. Since the boundaries of analytical philosophy are somewhat vague, it is difficult to say how f ...

, the use of analytical reasoning to study legal theory *

Analytic journalism Analytic journalism is a field of journalism that seeks to make sense of complex reality in order to create public understanding. It combines aspects of investigative journalism and explanatory reporting. Analytic journalism can be seen as a respo ...

, seeks to make sense of a complex reality in order to create public understanding *

Analytic cubism Cubism is an early-20th-century avant-garde art movement that revolutionized European painting and sculpture, and inspired related movements in music, literature and architecture. In Cubist artwork, objects are analyzed, broken up and reassemble ...

, one of two major branches of the cubism artistic movement * Analytical skills