elliptic harmonic

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• Harmonic function — In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U rarr; R (where U is an open subset of R n ) which satisfies Laplace s equation,… …   Wikipedia

• Elliptic operator — In mathematics, an elliptic operator is one of the major types of differential operator. It can be defined on spaces of complex valued functions, or some more general function like objects. What is distinctive is that the coefficients of the… …   Wikipedia

• elliptic equation — ▪ mathematics       any of a class of partial differential equations (partial differential equation) describing phenomena that do not change from moment to moment, as when a flow of heat or fluid takes place within a medium with no accumulations …   Universalium

• Ellipse — Elliptical redirects here. For the exercise machine, see Elliptical trainer. This article is about the geometric figure. For other uses, see Ellipse (disambiguation). Not to be confused with ellipsis. An ellipse obtained as the intersection of a… …   Wikipedia

• Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …   Wikipedia

• Hodge theory — In mathematics, Hodge theory is one aspect of the study of the algebraic topology of a smooth manifold M . More specifically, it works out the consequences for the cohomology groups of M , with real coefficients, of the partial differential… …   Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• Capacity of a set — In mathematics, the capacity of a set in Euclidean space is a measure of that set s size . Unlike, say, Lebesgue measure, which measures a set s volume or physical extent, capacity is a mathematical analogue of a set s ability to hold electrical… …   Wikipedia

• Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

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• Mathieu wavelet — Contents 1 Elliptic cylinder wavelets 2 Mathieu differential equations 3 Mathieu functions: cosine elliptic and sine elliptic functions 4 …   Wikipedia