| 单词 | cotangent |
| 释义 | cotangent noun[C] mathematicsspecializeduk/kəʊˈtæn.dʒənt/us/koʊˈtæn.dʒənt/afunction(= amathematicalrelation)of ananglethat is thereciprocal(=number)oftangent 余切Geometry: describing angles, lines & orientations
cotangent| American Dictionarycotangent noun[C] us/koʊˈtæn·dʒənt/trigonometry afunction(=mathematicalrelation)of ananglethat is thereciprocal(=number)oftangent Examplesofcotangentcotangent Similarly, the second of equations (30) yields equation (32) and the inequality (33)with the tangent replaced by the minuscotangent. From theCambridge English Corpus Thecotangentbundle of a manifold is equipped with a canonical symplectic form and a canonical section (the vertical section). From theCambridge English Corpus The metric g determines the isomorphism of the tangent andcotangentbundles. From theCambridge English Corpus This condition is particularly significant, being verified in all natural mechanical systems oncotangentbundles. From theCambridge English Corpus One of them is closely related to propagation of trajectories for symplectomorphisms ofcotangentbundles. From theCambridge English Corpus This transformation has an invariant form that comes from the symplectic form in thecotangentbundle of the billiard table. From theCambridge English Corpus They may be geometrically interpreted as the forward propagation of tangents or the backward propagation of normals or cotangents. From theCambridge English Corpus But why should forces take values in thecotangentbundle? From theCambridge English Corpus This is more or less what is done when a tangent linear code is first developed and then the partials are used in thecotangentlinear, or adjoint code. From theCambridge English Corpus Typically, thecotangentspace is defined as the dual space of the tangent space at "x", although there are more direct definitions (see below). From Wikipedia  This example is from Wikipedia and may be reused under a CC BY-SA license.For mechanical systems, the phase space usually consists of all possible values of position and momentum variables (i.e. thecotangentspace of configuration space). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license.Likewise,cotangentspace is a contravariant functor, essentially the composition of the tangent space with the dual space above. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license.Important examples of vector bundles include the tangent bundle andcotangentbundle of a smooth manifold. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license.Abstractly, it is a second order operator on each exterior power of thecotangentbundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license.Readers familiar with more advanced mathematics such ascotangentbundles, exterior derivatives and symplectic manifolds should read the related symplectomorphism article. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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