Analytic

Look up analytic, analytical, or analyticity in Wiktionary, the free dictionary.

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

• In 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
• In 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
  • 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
  • In 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
  • In 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
  • Other mathematical areas:
    • Analytic element method, a numerical method used to solve partial differential equations
    • Analytic manifold, a topological manifold with analytic transition maps
• In 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
• Other scientific areas:
  • 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

• In psychology:
  • Analytical psychology, part of the Jungian psychology movement
  • Cognitive analytic therapy, a form of psychological therapy initially developed in the United Kingdom by Anthony Ryle
  • Psychoanalysis, a set of psychological and psychotherapeutic theories and associated techniques
• In 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
• In politics:
  • Analytical Marxism, an interpretation of Marxism
• In linguistics:
  • Analytic language, a natural language in which most morphemes are free (separate), instead of fused together

Finance

• A financial analytic is a standardized measurement of an asset's attributes.

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
• Analytical-Literal Translation, a very literal translation of the Bible

See also

• Synthesis (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