-
Their reciprocals are
respectively the cosecant, the secant, and the
cotangent functions,
which are less used. Each of
these six
trigonometric functions...
-
especially differential geometry, the
cotangent bundle of a
smooth manifold is the
vector bundle of all the
cotangent spaces at
every point in the manifold...
- In
differential geometry, the
cotangent space is a
vector space ****ociated with a
point x {\displaystyle x} on a
smooth (or differentiable)
manifold M...
- In mathematics, the
cotangent complex is a
common generalisation of the
cotangent sheaf,
normal bundle and
virtual tangent bundle of a map of geometric...
- domains. Specifically, they are the
inverses of the sine, cosine, tangent,
cotangent, secant, and
cosecant functions, and are used to
obtain an
angle from...
- derived:
hyperbolic tangent "tanh" (/ˈtæŋ, ˈtæntʃ, ˈθæn/),
hyperbolic cotangent "coth" (/ˈkɒθ, ˈkoʊθ/),
hyperbolic secant "sech" (/ˈsɛtʃ, ˈʃɛk/), hyperbolic...
-
abstract formulations of
classical mechanics and
analytical mechanics as the
cotangent bundles of manifolds. For example, in the
Hamiltonian formulation of classical...
- In trigonometry, the law of
cotangents is a
relationship among the
lengths of the
sides of a
triangle and the
cotangents of the
halves of the
three angles...
- In
algebraic geometry,
given a
morphism f: X → S of schemes, the
cotangent sheaf on X is the
sheaf of O X {\displaystyle {\mathcal {O}}_{X}} -modules...
-
generalized to a more
abstract 20th
century definition of
coordinates on the
cotangent bundle of a
manifold (the
mathematical notion of
phase space). In classical...
