exterior derivative oor Spaans
exterior derivative
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derivada exterior
Controls the behavior of the wedge product and exterior derivative.
Controla el comportamiento del producto exterior y de la derivada exterior.
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voorbeelde
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Voorbeelde moet herlaai word.
More generally, we define the exterior derivative dco of any differential form co.
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Here, dƒ is the exterior derivative of the function ƒ; it is a 1-form taking argument vx.
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Another example for this is the exterior derivative (again with n = 2).
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The exterior derivative of a differential form of degree k is a differential form of degree k + 1.
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Alternatively, the operator can be generalized to operate on differential forms using the divergence and exterior derivative.
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This shows the invariance of the exterior derivative when acting on one forms.
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(For exterior derivative diagrams, see Fig. 14.18.)
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Controls the behavior of the wedge product and exterior derivative.
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It can be shown that the exterior derivative is the only linear invariant differential operator between those bundles.
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Exterior derivative is clariWed, and made explicit, by the use of components.
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The covariant exterior derivative as defined over supermanifolds needs to be super graded.
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In addition to the exterior product, there is also the exterior derivative operator d.
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In differential topology the exterior derivative and Lie derivative operators have intrinsic meaning.
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The exterior derivative is formally defined as the wedge product of the partial derivative operator and a differential form.
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A particular case of a covector Weld is the gradient (or exterior derivative) dF of a scalar Weld F.
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The inverse problem of finding a form 't that has a given form ro as its exterior derivative is basic.
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The exterior derivative is a notion of differentiation of differential forms which generalizes the differential of a function (which is a differential 1-form).
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The equivalence of the definitions follows from the closedness of the symplectic form and Cartan's magic formula for the Lie derivative in terms of the exterior derivative.
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In the parlance of differential forms, this is saying that f(x) dx is the exterior derivative of the 0-form, i.e. function, F: in other words, that dF = f dx.
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These are characterized by the assertion that the covariant derivative, which is the sum of the exterior derivative operator d and the connection A, transforms in the adjoint representation of the gauge group G. The square of the covariant derivative with itself can be interpreted as a g-valued 2-form F called the curvature form or field strength.
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Although they are not excluded, they appear at least derivative or exterior to this syngenealogical cell.
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It expresses the person in his ontological and existential concreteness, which is something more than the individual. Therefore the body expresses the personal human "self," which derives its exterior perception from within.
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The brilliant red interior of the cups—from which both the common and scientific names are derived—contrasts with the lighter-colored exterior.
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And its concepts must be derived in some way from the data provided by the senses, exterior and interior.
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In this paper, we introduce and study topological properties of λ-derived, λ-border, λ-frontier and λ-exterior of a set using the concept of λ -open sets.
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