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modular group

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  • Modular group — For a group whose lattice of subgroups is modular see Iwasawa group. In mathematics, the modular group Γ is a fundamental object of study in number theory, geometry, algebra, and many other areas of advanced mathematics. The modular group can be… …   Wikipedia

  • Teichmüller modular group — In mathematics, a Teichmüller modular group, or mapping class group of a surface, or homeotopy group of a surface, is the group of isotopy classes of orientation preserving homeomorphisms of an oriented surface. It is also a group of… …   Wikipedia

  • Modular curve — In number theory and algebraic geometry, a modular curve Y(Γ) is a Riemann surface, or the corresponding algebraic curve, constructed as a quotient of the complex upper half plane H by the action of a congruence subgroup Γ of the modular group of …   Wikipedia

  • Modular form — In mathematics, a modular form is a (complex) analytic function on the upper half plane satisfying a certain kind of functional equation and growth condition. The theory of modular forms therefore belongs to complex analysis but the main… …   Wikipedia

  • Modular lambda function — In mathematics, the elliptic modular lambda function λ(τ) is a highly symmetric holomorphic function on the complex upper half plane. It is invariant under the fractional linear action of the congruence group Γ(2), and generates the function… …   Wikipedia

  • Modular invariance — In theoretical physics, modular invariance is the invariance under the group such as SL(2,Z) of large diffeomorphisms of the torus. The name comes from the classical name modular group of this group, as in modular form theory. In string theory,… …   Wikipedia

  • Modular representation theory — is a branch of mathematics, and that part of representation theory that studies linear representations of finite group G over a field K of positive characteristic. As well as having applications to group theory, modular representations arise… …   Wikipedia

  • Modular art — is art created by joining together standardized units (modules) to form larger, more complex compositions. In some works the units can be subsequently moved, removed and added to – that is, modulated – to create a new work of art, different from… …   Wikipedia

  • Modular Recordings — Parent company Universal Music Founded 1998 Founder Steve Pavlovic Distributor(s) Universal Music Genre Rock …   Wikipedia

  • Modular Audio Recognition Framework — (MARF) Developer(s) Serguei A. Mokhov, Stephen Sinclair, Ian Clement, Dimitrios Nicolacopoulos, The MARF Research and Development Group Stable release snapshot 0.3.0 devel 20070108 / January 8, 2007; 4 years ago (2007 01 08) …   Wikipedia

  • Modular Audio Recognition Framework — (MARF) est une plate forme de recherche et une collection des algorithmes pour le traitement de la voix, le son, le discours, et l écrit et de langue naturelle (TALN) écrits en Java et arrangé dans un cadre modulaire et extensible qui tente de… …   Wikipédia en Français

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