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cotangent <a cotangent; cotangents> N MATH

arc-cotangent MATH

cotangent curve MATH

inverse cotangent

Monolingual examples (not verified by PONS Editors)

English
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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A special set of coordinates can be defined on the cotangent bundle; these are called the canonical coordinates.
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Fundamental examples are the holomorphic tangent bundle of a complex manifold, and its dual, the holomorphic cotangent bundle.
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Momentum vectors are linear functionals on the tangent plane, known as cotangent vectors.
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The two expressions are derived from identities involving the cotangent and cosecant functions.
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The ratio of the lengths of the catheti defines the trigonometric functions tangent and cotangent of the angles in the triangle.
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The total space of a cotangent bundle has the structure of a symplectic manifold.
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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.
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The cotangent space will then consist of all the possible first-order behaviors of a function near x.
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Important examples of vector bundles include the tangent bundle and cotangent bundle of a smooth manifold.
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