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set analysis

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  • Set theory (music) — Example of Z relation on two pitch sets analyzable as or derivable from Z17 (Schuijer 2008, p.99), with intervals between pitch classes labeled for ease of comparison between the two sets and their common interval vector, 212320. Musical set… …   Wikipedia

  • Analysis — (from Greek ἀνάλυσις , a breaking up ) is the process of breaking a complex topic or substance into smaller parts to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle,… …   Wikipedia

  • Analysis — • The process by which anything complex is resolved into simple, or at least less complex parts or elements Catholic Encyclopedia. Kevin Knight. 2006. Analysis     Analysis      …   Catholic encyclopedia

  • analysis — (n.) 1580s, resolution of anything complex into simple elements (opposite of synthesis), from M.L. analysis (15c.), from Gk. analysis a breaking up, a loosening, releasing, noun of action from analyein unloose, release, set free; to loose a ship… …   Etymology dictionary

  • Set theory of the real line — is an area of mathematics concerned with the application of set theory to aspects of the real numbers. For example, one knows that all countable sets of reals are null, i.e. have Lebesgue measure 0; one might therefore ask the least possible size …   Wikipedia

  • Analysis on fractals — or calculus on fractals is a generalization of calculus on smooth manifolds to calculus on fractals.The theory describes dynamical phenomena which occur on objects modelled by fractals.It studies questions such as how does heat diffuse in a… …   Wikipedia

  • analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

  • Set of uniqueness — M set redirects here. For the CityRail train, see CityRail M set. In mathematics, a set of uniqueness is a concept relevant to trigonometric expansions which are not necessarily Fourier series. Their study is a relatively pure branch of harmonic… …   Wikipedia

  • Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia

  • set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

  • Analysis of variance — In statistics, analysis of variance (ANOVA) is a collection of statistical models, and their associated procedures, in which the observed variance in a particular variable is partitioned into components attributable to different sources of… …   Wikipedia

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