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Analytic or analytical may refer to:


Chemistry

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Analytical chemistry Analytical skill, Analytical chemistry studies and uses instruments and methods to Separation process, separate, identify, and Quantification (science), quantify matter. In practice, separation, identification or quantification may constitute t ...
, the analysis of material samples to learn their chemical composition and structure *
Analytical technique Analytic or analytical may refer to: 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 ...
, 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 the number of moles of solute per liter of solution. Specifically, It is a measure of the concentration of a chemical species, in particular, of a solu ...


Mathematics

* 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 In 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 engineering, and als ...
, 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 Dir ...
, a branch of number theory that uses methods from mathematical analysis


Mathematical analysis

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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, 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 ne ...
, 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 geo ...
, a topological manifold with analytic transition maps * Analytic variety, the set of common solutions of several equations involving analytic functions


Set theory

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Analytical hierarchy Analytic or analytical may refer to: 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 chemica ...
, 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 ...
, 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 In proof theory, the semantic tableau (; plural: tableaux), also called an analytic tableau, truth tree, or simply tree, is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. An analy ...
, a tree structure used to analyze logical formulas


Computer science

* Analytic or reductive grammar, a kind of
formal grammar A formal grammar is a set of Terminal and nonterminal symbols, symbols and the Production (computer science), production rules for rewriting some of them into every possible string of a formal language over an Alphabet (formal languages), alphabe ...
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, which also falls under and directly relates to the umbrella term, data sc ...
, to find meaningful patterns in data


Other science and technology

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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 Hilb ...
, 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 formulations of classical mechanics. Analytical mechanics uses '' scalar'' properties of motion representing the sy ...
, 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 do ...
, a very high precision (0.1 mg or better) weighing scale


Philosophy

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Analytic philosophy Analytic philosophy is a broad movement within Western philosophy, especially English-speaking world, anglophone philosophy, focused on analysis as a philosophical method; clarity of prose; rigor in arguments; and making use of formal logic, mat ...
, a style of philosophy that came to dominate English-speaking countries in the 20th century *
Analytic proposition Analytic or analytical may refer to: 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 chemica ...
, 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. It ...
, the movement to present the thought of Thomas Aquinas in the style of modern analytic philosophy *
Postanalytic 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. The ''Internet Encyclopedia of Philosophy'' defines the move ...
, 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

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Analytical psychology Analytical psychology (, sometimes translated as analytic psychology; also Jungian analysis) is a term referring to the psychological practices of Carl Jung. It was designed to distinguish it from Freud's psychoanalytic theories as their ...
, part of the Jungian psychology movement *
Cognitive analytic therapy Cognitive analytic therapy (CAT) is a form of psychological therapy initially developed in the United Kingdom by Anthony Ryle. This time-limited therapy was developed in the context of the UK's National Health Service with the aim of providing ef ...
, a form of psychological therapy initially developed in the UK by Anthony Ryle *
Psychoanalysis PsychoanalysisFrom Greek language, Greek: and is a set of theories and techniques of research to discover unconscious mind, unconscious processes and their influence on conscious mind, conscious thought, emotion and behaviour. Based on The Inte ...
, a set of psychological and psychotherapeutic theories and associated techniques


Sociology

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Analytic induction Analytic or analytical may refer to: 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 ...
, 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

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Analytical Marxism Analytical Marxism is an academic school of Marxist theory which emerged in the late 1970s, largely prompted by G. A. Cohen's '' Karl Marx's Theory of History: A Defence'' (1978). In this book, Cohen drew on the Anglo–American tradition of an ...
, an interpretation of Marxism


Linguistics

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Analytic language An analytic language is a type of natural language in which a series of root/stem words is accompanied by prepositions, postpositions, particles and modifiers, using affixes very rarely. This is opposed to synthetic languages, which synthesi ...
, a natural language in which most morphemes are free (separate), instead of fused together


Other areas

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Analytical jurisprudence Analytical jurisprudence is a philosophical approach to law that draws on the resources of modern analytical philosophy to try to understand the nature of law. It is a branch of jurisprudence, also called the philosophy of law. Since the boundari ...
, 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


See also

* Analytics (disambiguation) * Analysis (disambiguation) * Analytical Engine, a 19th-century mechanical general-purpose computer designed by Charles Babbage * Analytical Society, a 19th-century British group who promoted the use of Leibnizian or analytical calculus, as opposed to Newtonian calculus * Synthesis (disambiguation) {{disambiguation