integrability condition

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• Integrability conditions for differential systems — In mathematics, certain systems of partial differential equations are usefully formulated, from the point of view of their underlying geometric and algebraic structure, in terms of a system of differential forms. The idea is to take advantage of… …   Wikipedia

• condition of integrability — integruotinumo sąlyga statusas T sritis fizika atitikmenys: angl. condition of integrability vok. Integrabilitätsbedingung, f; Integrationsbedingung, f rus. условие интегрируемости, n pranc. condition d’intégrabilité, f …   Fizikos terminų žodynas

• condition d’intégrabilité — integruotinumo sąlyga statusas T sritis fizika atitikmenys: angl. condition of integrability vok. Integrabilitätsbedingung, f; Integrationsbedingung, f rus. условие интегрируемости, n pranc. condition d’intégrabilité, f …   Fizikos terminų žodynas

• Saint-Venant's compatibility condition — In the mathematical theory of elasticity the strain varepsilon is related to a displacement field u by:varepsilon {ij} = frac{1}{2} left( frac{partial u i}{partial x j} + frac{partial u j}{partial x i} ight) Saint Venant derived the compatibility …   Wikipedia

• Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms …   Wikipedia

• G-structure — In differential geometry, a G structure on an n manifold M , for a given structure group [Which is a Lie group G o GL(n,mathbf{R}) mapping to the general linear group GL(n,mathbf{R}). This is often but not always a Lie subgroup; for instance, for …   Wikipedia

• Hermitian manifold — In mathematics, a Hermitian manifold is the complex analog of a Riemannian manifold. Specifically, a Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each (holomorphic) tangent space. One can also define …   Wikipedia

• Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the …   Wikipedia

• Laplace's equation — In mathematics, Laplace s equation is a partial differential equation named after Pierre Simon Laplace who first studied its properties. The solutions of Laplace s equation are important in many fields of science, notably the fields of… …   Wikipedia

• Contact geometry — Contact form redirects here. For a web email form, see Form (web)#Form to email scripts. The standard contact structure on R3. Each point in R3 has a plane associated to it by the contact structure, in this case as the kernel of the one form dz − …   Wikipedia

• Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia