Analytic

• 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

• 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, the study of geometry based on numerical coordinates rather than axioms
• Analytic number theory, a branch of number theory that uses methods from mathematical analysis

Mathematical analysis

• Analytic function, 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, a technique to extend the domain of definition of a given analytic function
• Analytic manifold, a topological manifold with analytic transition maps
• 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, 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, a tree structure used to analyze logical formulas

• 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

• 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

• 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

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

• 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