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Translations for „pullback“ in the English » Arabic Dictionary (Go to Arabic » English)

pullback <pullback; pullbacks> N

Monolingual examples (not verified by PONS Editors)

English
The pullback of a form can also be written in coordinates.
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Specifically, lower indices are covariant indices, and transform via pullbacks, while upper indices are contravariant, transforming under pushforwards.
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For technical reasons, it is necessary to rewind time, as in the definition of a pullback attractor.
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In the language of category theory, the pullback bundle construction is an example of the more general categorical pullback.
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Recall that a regular category is a category with finite limits and images in which covers are stable under pullback.
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The construction of the pullback bundle can be carried out in subcategories of the category of topological spaces, such as the category of smooth manifolds.
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And then, when the overbought chatter is done, we often get a bigger pullback.
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The pullback of bundles then corresponds to the inverse image of sheaves, which is a contravariant functor.
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The pullback of differential forms has two properties which make it extremely useful. 1.
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The index-less transformation properties of a tensor are given by pullbacks for covariant indices, and pushforwards for contravariant indices.
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