integrability वाक्य
उदाहरण वाक्य
मोबाइल
- There is thus an integrability condition at work, and Cartan's method for realizing integrability conditions was to introduce a differential form.
- There is thus an integrability condition at work, and Cartan's method for realizing integrability conditions was to introduce a differential form.
- Several structures on manifolds, such as a K�hler structure, are " G "-structures with an additional integrability condition.
- That is, Riemann-integrability is a " stronger " ( meaning more difficult to satisfy ) condition than Lebesgue-integrability.
- That is, Riemann-integrability is a " stronger " ( meaning more difficult to satisfy ) condition than Lebesgue-integrability.
- The idea here is that a Sobolev space provides the natural setting for both the idea of square-integrability and the idea of differentiation.
- In 1987 Irene Dorfman introduced the Dorfman bracket [, ] D, which like the Courant bracket provides an integrability condition for Dirac structures.
- In particular a theory for Lie equations formulated by Malgrange emerged, giving a very broad formulation of the notion of " integrability ".
- His work with Giuseppe Modica on the local higher integrability properties of solutions to elliptic systems has had an influence on the development of partial regularity theory.
- Square integrability is equivalent to saying that a Cauchy sequence converges to a finite value under the weak topology : the space contains it's limit points.
- Although such a characterization of " integrability " has no intrinsic validity, it often implies the sort of regularity that is to be expected in integrable systems.
- In the course of this work they found a more elementary proof of Harish-Chandra's fundamental theorem on the local integrability of characters of Lie groups.
- Thus, the integrability of the problem of three point vortices on the plane was solved in the 1877 thesis of a young Swiss applied mathematician named Walter Gr�bli.
- There are also notions of " complete integrability ", or " exact solvability " in the setting of quantum systems and statistical mechanical models.
- One reason for the first convention is that the integrability of on an interval implies that is integrable on any subinterval, but in particular integrals have the property that:
- When " S " = "'N "'is the set of natural numbers, Lebesgue integrability, unordered summability and absolute convergence all coincide.
- A contact structure on an odd dimensional manifold is a smoothly varying family of codimension one subspaces of each tangent space of the manifold, satisfying a non-integrability condition.
- The Frobenius theorem asserts that this problem admits a solution locally if, and only if, the operators satisfy a certain integrability condition known as " involutivity ".
- A complex structure is essentially an almost complex structure with an integrability condition, and this condition yields a unitary structure ( U ( n ) structure ) on the manifold.
- If so, it's still a good counterexample to the questioner's proposition, but Riemann integrability is not a sufficient condition to the make the proposition true.
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