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The cotangent space will then consist of all the possible first-order behaviors of a function near x.
en.wikipedia.org
The tangent space and the cotangent space at a point are both real vector spaces of the same dimension and therefore isomorphic to each other via many possible isomorphisms.
en.wikipedia.org
Momentum vectors are linear functionals on the tangent plane, known as cotangent vectors.
en.wikipedia.org
Fundamental examples are the holomorphic tangent bundle of a complex manifold, and its dual, the holomorphic cotangent bundle.
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The total space of a cotangent bundle has the structure of a symplectic manifold.
en.wikipedia.org
Cotangent complexes were originally defined in special cases by a number of authors.
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For mechanical systems, the phase space usually consists of all possible values of position and momentum variables (i.e. the cotangent space of configuration space).
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Readers familiar with more advanced mathematics such as cotangent bundles, exterior derivatives and symplectic manifolds should read the related symplectomorphism article.
en.wikipedia.org
He invented tools for computation, navigation and surveying, and devised the trigonometry concepts of cosine and cotangent.
www.wired.com
The term "microlocal" implies localisation not only with respect to location in the space, but also with respect to cotangent space directions at a given point.
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