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modular quotient

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  • Modular decomposition — In graph theory, the modular decomposition is a decomposition of an undirected graph into subsets of vertices called modules. A module is a generalization of a connected component of a graph. Unlike connected components, however, one module can… …   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 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

  • 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

  • Quotient ring — In mathematics a quotient ring, also known as factor ring or residue class ring, is a construction in ring theory, quite similar to the factor groups of group theory and the quotient spaces of linear algebra. One starts with a ring R and a two… …   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 arithmetic — In mathematics, modular arithmetic (sometimes called clock arithmetic) is a system of arithmetic for integers, where numbers wrap around after they reach a certain value the modulus. The Swiss mathematician Leonhard Euler pioneered the modern… …   Wikipedia

  • Quotient module — In abstract algebra, a branch of mathematics, given a module and a submodule, one can construct their quotient module. This construction, described below, is analogous to how one obtains the ring of integers modulo an integer n , see modular… …   Wikipedia

  • Mock modular form — In mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight 1/2. The first examples of mock theta functions were described by Srinivasa… …   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

  • Modulo operation — Quotient (red) and remainder (green) functions using different algorithms. In computing, the modulo operation finds the remainder of division of one number by another. Given two positive numbers, a (the dividend) and n (the divisor), a modulo n… …   Wikipedia

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