modular plane

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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

• 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 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

• Plane curve — In mathematics, a plane curve is a curve in a Euclidean plane (cf. space curve). The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. A smooth plane curve is a curve in a …   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 equation — In mathematics, a modular equation is an algebraic equation satisfied by moduli, in the sense of moduli problem. That is, given a number of functions on a moduli space, a modular equation is an equation holding between them, or in other words an… …   Wikipedia

• Modular Neutron Array — The MoNA Array The Modular Neutron Array (MoNA) is a large area, high efficiency neutron detector that is used in basic research of rare isotopes at Michigan State University s National Superconducting Cyclotron Laboratory (NSCL), a nuclear… …   Wikipedia

• Modular Airborne FireFighting System — A MAFFS about to be loaded into a C 130 in North Carolina in 2008 Part of a series on Wildland Firefighting …   Wikipedia

• Upper half-plane — In mathematics, the upper half plane H is the set of complex numbers with positive imaginary part y: The term is associated with a common visualization of complex numbers with points in the plane endowed with Cartesian coordinates, with the Y… …   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

• Classical modular curve — In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation Φn(x, y)=0, where for the j invariant j(τ), x=j(n τ), y=j(τ) is a point on the curve. The curve is sometimes called X0(n), though often… …   Wikipedia