Natural sciences

• In chemistry:
  • Analytical chemistry
    Analytical chemistry
    Analytical chemistry is the study of the separation, identification, and quantification of the chemical components of natural and artificial materials. Qualitative analysis gives an indication of the identity of the chemical species in the sample and quantitative analysis determines the amount of...
    
    , the analysis of material samples to learn their chemical composition and structure
  • Analytical technique
    Analytical technique
    An analytical technique is a method that is used to determine the concentration of a chemical compound or chemical element. There are a wide variety of techniques used for analysis, from simple weighing to titrations to very advanced techniques using highly specialized instrumentation...
    
    
  • Analytical concentration
• In mathematics:
  • Abstract analytic number theory
    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 prototypical example, and the emphasis is on abstract...
    
    , 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
    Analytic combinatorics
    Analytic combinatorics is a branch of combinatorics that describes combinatorial classes using generating functions, with formal power series that often correspond to analytic functions....
    
    , a branch of combinatorics that describes combinatorial classes using generating functions
  • Analytic continuation
    Analytic continuation
    In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where an infinite series representation in terms of which...
    
    , a technique to extend the domain of definition of a given analytic function
  • Analytical expression
    Analytical expression
    In mathematics, an analytical expression is a mathematical expression, constructed using well-known operations that lend themselves readily to calculation...
    
    , a mathematical expression using well-known operations that lend themselves readily to calculation
  • Analytic function
    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, categories that are similar in some ways, but different in others...
    
    , a function that is locally given by a convergent power series
  • Analytic geometry
    Analytic geometry
    Analytic geometry, or analytical geometry has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties...
    
    , the study of geometry using the principles of algebra
  • Analytic number theory
    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 Dirichlet's introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic...
    
    , 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
    Analytic variety
    In mathematics, specifically geometry, an analytic variety is defined locally as the set of common zeros of finitely many analytic functions. It is analogous to the included concept of complex algebraic variety, and every complex manifold is an analytic variety. Since analytic varieties may have...
    
    , the set of common solutions of several equations involving analytic functions
  • In set theory:
    • Analytical hierarchy
      Analytical hierarchy
      In mathematical logic and descriptive set theory, the analytical hierarchy is a higher type analogue of the arithmetical hierarchy. It thus continues the classification of sets by the formulas that define them.-The analytical hierarchy of formulas:...
      
      
    • Analytic set
      Analytic set
      In 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 definitions of analytic set...
      
      
    • Lightface analytic game
  • In proof theory:
    • Analytic proof
      Analytic proof
      In mathematical analysis, an analytical proof is a proof of a theorem in analysis that only makes use of methods from analysis, and which does not make use of results from geometry...
      
      , in structural proof theory, a proof whose structure is simple in a special way
    • Method of analytic tableaux
      Method of analytic tableaux
      In proof theory, the semantic tableau is a decision procedure for sentential and related logics, and a proof procedure for formulas of first-order logic. The tableau method can also determine the satisfiability of finite sets of formulas of various logics. It is the most popular proof procedure...
      
      , a fundamental concept in automated theorem proving
  • Other mathematical areas:
    • Analytic element method
      Analytic element method
      The analytic element method 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...
      
      , a numerical method used to solve partial differential equations
    • Analytic manifold
      Analytic manifold
      In mathematics, an analytic manifold is a topological manifold with analytic transition maps. Every complex manifold is an analytic manifold....
      
      , a topological manifold with analytic transition maps
• In Computer Science:
  • Analytic grammar, a kind of formal grammar
    Formal grammar
    A formal grammar is a set of formation rules for strings in a formal language. The rules describe how to form strings from the language's alphabet that are valid according to the language's syntax...
    
     that works by successively reducing input strings to simpler forms
  • Analytical IT
  • Analytical software
    Analytical software
    Analytical software is software that is designed specifically for analysis and development of a particular environment or object....
    
    
• Other scientific areas:
  • Analytic signal
    Analytic signal
    In mathematics and signal processing, the analytic representation of a real-valued function or signal facilitates many mathematical manipulations of the signal. The basic idea is that the negative frequency components of the Fourier transform of a real-valued function are superfluous, due to the...
    
    , a particular representation of a signal
  • Analytical mechanics
    Analytical mechanics
    Analytical mechanics is a term used for a refined, mathematical form of classical mechanics, constructed from the 18th century onwards as a formulation of the subject as founded by Isaac Newton. Often the term vectorial mechanics is applied to the form based on Newton's work, to contrast it with...
    
    , a refined, highly mathematical form of classical mechanics
  • Analytical balance, a very high precision (0.1 mg or better) weighing scale
  • Analytical ultracentrifuge, an ultracentrifuge that can monitor samples while they're being spun

Philosophy

• Analytic philosophy
  Analytic philosophy
  Analytic philosophy is a generic term for 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
  Analytical Thomism is a philosophical movement which promotes the interchange of ideas between the thought of Saint Thomas Aquinas , and modern analytic philosophy....
  
  , the movement to present the thought of Thomas Aquinas in the style of modern analytic philosophy
• Postanalytic philosophy
  Postanalytic philosophy
  Post-analytic philosophy describes a detachment from the mainstream philosophical movement of analytic philosophy, which is the predominant school of thought in English-speaking countries. Postanalytic philosophy derives mainly from contemporary American thought, especially from the works of...
  
  

Social sciences

• In psychology:
  • Analytical psychology
    Analytical psychology
    Analytical psychology is the school of psychology originating from the ideas of Swiss psychiatrist Carl Jung. His theoretical orientation has been advanced by his students and other thinkers who followed in his tradition. Though they share similarities, analytical psychology is distinct from...
    
    , part of the Jungian psychology movement
  • Analytical psychodrama
  • Individual analytical psychodrama
  • Cognitive analytic therapy
    Cognitive analytic therapy
    Cognitive Analytic Therapy 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 effective and affordable psychological treatment which could...
    
    
  • Psychoanalysis
    Psychoanalysis
    Psychoanalysis is a psychological theory developed in the late 19th and early 20th centuries by Austrian neurologist Sigmund Freud. Psychoanalysis has expanded, been criticized and developed in different directions, mostly by some of Freud's former students, such as Alfred Adler and Carl Gustav...
    
    
• In sociology:
  • Analytic induction
    Analytic induction
    Analytic induction refers to a systematic examination of similarities between various social phenomena in order to develop concepts or ideas. Social scientists doing social research use analytic induction to search for those similarities in broad categories and then develop subcategories...
    
    , the systematic examination of similarities between various social phenomena to develop concepts or ideas
  • Analytic frame
    Analytic frame
    Analytic frame is a detailed sketch or outline of some social phenomenon, representing initial idea of a scientist analyzing this phenomenon. Charles C. Ragin defines it as one of the four building blocks of social research Analytic frame is a detailed sketch or outline of some social phenomenon,...
    
    , a detailed sketch or outline of some social phenomenon, representing initial idea of a scientist analyzing this phenomenon
• In politics:
  • Analytical Marxism
    Analytical Marxism
    Analytical Marxism refers to a particular Marxist approach that was prominent amongst English-speaking philosophers and social scientists during the 1980s. It was mainly associated with the September Group of academics, so called because of their biennial September meetings to discuss common...
    
    , an interpretation of Marxism
• In linguistics:
  • Analytic language, a natural language in which most morphemes are free (separate), instead of fused together

Other areas

• Analytical jurisprudence
  Analytical jurisprudence
  Analytical jurisprudence is a legal theory that draws on the resources of modern analytical philosophy to try to understand the nature of law. Since the boundaries of analytical philosophy are somewhat vague, it is difficult to say how far it extends. H. L. A...
  
  , the use of analytical reasoning to study legal theory
• Analytic journalism
  Analytic journalism
  Analytic journalism seeks to make sense of a complex reality in order to create public understanding. It combines some aspects of investigative journalism and explanatory reporting. Analytic journalism can be seen as a response to professionalized communication from powerful agents, information...
  
  
• 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
  Analytical engine
  The Analytical Engine was a proposed mechanical general-purpose computer designed by English mathematician Charles Babbage. It was first described in 1837 as the successor to Babbage's difference engine, a design for a mechanical calculator...
  
  , a 19th century mechanical general-purpose computer designed by Charles Babbage
• Analytical Society
  Analytical Society
  The Analytical Society was a group of individuals in early-19th century Britain whose aim was to promote the use of Leibnizian or analytical calculus as opposed to Newtonian calculus. The latter system came into being in the 18th century as an invention of Sir Isaac Newton, and was in use...
  
  , a 19th century British group who promoted the use of Leibnizian or analytical calculus, as opposed to Newtonian calculus