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519,064 articles
Analogy of the divided line
Analogy of the divided line: image at Republic 509d–511e (also called Plato's divided line) cutting a line in the same ratio into four segments matched to eikasia, pistis, dianoia, and noesis, from images to forms.
Analysis
Analysis is the branch of mathematics that studies functions and their generalizations by the method of limits, encompassing calculus, differential equations, and real and complex function theory.
Analysis and detection of nitrosamines
Analysis and detection of nitrosamines refers to laboratory methods, chiefly GC and LC coupled with mass spectrometry or thermal energy analysis, that identify and quantify trace nitrosamine impurities in pharmaceuticals.
Analysis and industrial applications of phosphorus esters
Phosphorus esters are organic derivatives of phosphoric and phosphonic acids, used industrially as flame retardants, plasticizers, fire-resistant hydraulic fluids, and as solvents in nuclear fuel reprocessing.
Analysis and purity specification of alkanolamines
Analysis and purity specification of alkanolamines covers the titration, gas chromatography, ion chromatography, and LC-MS/MS methods used to assay commercial ethanolamines and isopropanolamines against grade specifications, including nitrosamine testing.
Analysis of algorithms
Analysis of algorithms, also known as algorithm analysis, is the mathematical study of the running time and memory an algorithm needs, using asymptotic notation like big O.
Analysis of covariance
Analysis of covariance, or ANCOVA, is a statistical method that combines analysis of variance with regression, comparing group means while adjusting for a covariate, introduced by R. A. Fisher in 1932.
Analysis of means
The analysis of means (ANOM) is a graphical statistical procedure comparing group means, rates, or proportions against their overall value, introduced by Ellis Ott in 1967 for quality control.
Analysis of the My Little Pony: Friendship Is Magic fandom
Analysis of the My Little Pony: Friendship Is Magic fandom: the bronies, adult male fans (ages 13–35) of Hasbro's 2010–2019 series, their fan typologies, furry overlap, masculinity scholarship, conventions, and the franchise's 2027 revival.
Analysis of variance
Analysis of variance (ANOVA) is a statistical method that tests whether the means of two or more groups are equal by partitioning and comparing variances.
Analysis paralysis
Analysis paralysis, or paralysis by analysis, is overthinking a decision to the point of inaction, closely tied to choice overload. Key evidence includes the Iyengar–Lepper jam study, 401(k) participation data, and meta-analyses showing overload occurs only under specific moderators.
Analysis Reviews
Analysis Reviews is the review section of the philosophy journal Analysis, published by Oxford University Press for The Analysis Trust, covering recent work in analytic philosophy.
Analysis workflow in particle physics
An analysis workflow in particle physics is the end-to-end sequence of software steps, documentation, and internal collaboration review that turns reconstructed collider data into a published physics result.
Analytic aesthetics
Analytic aesthetics is the practice of aesthetics and philosophy of art within the analytic tradition of philosophy, using conceptual analysis and formal logic, emerging around the mid-20th century.
Analytic capacity
Analytic capacity is a set function introduced by Lars Ahlfors in 1947 that measures how compact sets obstruct bounded analytic functions; it vanishes exactly on removable sets.
Analytic Combinatorics
Analytic combinatorics is a branch of mathematics that predicts properties of large combinatorial structures via generating functions, complex analysis, and asymptotics; it was named by Robert Sedgewick in the mid-1990s.
Analytic continuation
Analytic continuation is a complex analysis technique for extending a holomorphic function from a small region, such as a power series' disk of convergence, to a larger domain, uniquely when it exists.
Analytic function
An analytic function is a function representable locally by a convergent power series. In complex analysis, analytic means the same thing as holomorphic, or complex differentiable.
Analytic geometry
Analytic geometry, also called coordinate geometry, studies geometric objects by representing points with coordinates and curves with algebraic equations; it was created by Fermat and Descartes in the 1630s.
Analytic hierarchy process
The analytic hierarchy process (AHP) is a structured technique for multi-criteria decision making, developed by Thomas L. Saaty in the 1970s, that decomposes problems into a hierarchy of goal, criteria, and alternatives.
Analytic language
Analytic language (analytisk språk): a language with little or no inflection, expressing grammar through word order, particles, and auxiliaries, as in Vietnamese and Mandarin; contrasted with synthetic and polysynthetic types on a continuum.
Analytic network process
The analytic network process (ANP) is a multi-criteria decision-making method that structures decision factors into a network of dependent clusters and ranks alternatives from pairwise comparisons.
Analytic number theory
Analytic number theory is the branch of mathematics that applies real, complex, and harmonic analysis to problems about the integers, above all the distribution of prime numbers.
Analytic philosophy
Analytic philosophy: the English-language philosophical tradition founded by Frege, Moore, and Russell, marked by logical analysis, clarity, and argument, contrasted with continental philosophy.
Analytic proof
An analytic proof is a proof in which only subformulas of the statement being proved appear, obtained via Gentzen's 1935 cut-elimination theorem, central to proof theory.
Analytic psychotherapy
Analytic psychotherapy is a psychodynamic talking treatment that targets unconscious conflicts and repetitive relationship patterns, sitting between full psychoanalysis and shorter structured therapies, used for depression and anxiety.
Analytic set
An analytic set is a subset of a Polish space that is the continuous image of a Polish space, or equivalently the projection of a Borel set.
Analytic signal
The analytic signal is a complex-valued function of time whose Fourier transform vanishes at negative frequencies, introduced by Dennis Gabor in 1946 and formed using the Hilbert transform.
Analytic space
An analytic space is a geometric object built from common zero sets of holomorphic functions, generalizing analytic manifolds by allowing singular points and serving as the basic object of complex analytic geometry.
Analytic treatment interruption
An analytic treatment interruption (ATI) is a deliberate, monitored pause of antiretroviral therapy in HIV cure trials, used to measure viral rebound and test interventions.