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Page "Complete category" ¶ 26
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** and category
** The Baire category theorem about complete metric spaces, and its consequences, such as the open mapping theorem and the closed graph theorem.
** In the category of Riemann surfaces, an automorphism is a bijective biholomorphic map ( also called a conformal map ), from a surface to itself.
** Systems Biology comes under this category including reaction fluxes and variable concentrations of metabolites
** Dual ( category theory ), a formalization of mathematical duality
** Concept learning is the induction of a concept ( category ) from observations
** Inform category: A Change in the Weather by Andrew Plotkin
** TADS category: Uncle Zebulon's Will by Magnus Olsson
** Limit ( category theory )
** Chamois leather also falls into the category of aldehyde tanning and like brain tanning produces a highly water absorbent leather.
** the materials are subject to a subpoena-although many practitioners regard that fact as a category of permissible disclosure, not as a categorical exclusion from confidentiality ( because court-ordered secrecy provisions may apply even in case of a subpoena ).
** the product category, a category that is the product of categories.
** A devastating category 4 Cyclone strikes Andhra Pradesh, India.
** Hondo-Louis L ' Amour ( Note: Originally announced on February 15, 1954 as a nominee in this category.
** Poultry – category of domesticated birds kept by humans for the purpose of collecting their eggs, or killing for their meat and / or feathers.
** the category of vector spaces over a field K.
** the category of vector spaces over a field K.
** Set, the category of sets
** Top, the category of topological spaces
** Grp, the category of groups
** Ab, the category of abelian groups
** Ring, the category of rings
** K-Vect, the category of vector spaces over a field K
** R-Mod, the category of modules over a commutative ring R
** CmptH, the category of all compact Hausdorff spaces

** and vector
** Every vector space has a basis.
** The closed unit ball of the dual of a normed vector space over the reals has an extreme point.
** On every infinite-dimensional topological vector space there is a discontinuous linear map.
** vector algebra and vector differential operators
** Parity function, a Boolean function whose value is 1 if the input vector has an odd number of ones
** A more automatic and general vectorized interrupt system, mode 2, as well as a fixed vector interrupt system, mode 1, for simple systems with minimal hardware ( mode 0 being the 8080-compatible mode ).
** Linear algebra explains how a vector space can be given a basis, and then any vector can be expressed in this basis.
** Lyapunov vector
** Sample a new position y by adding a normally distributed random vector to the current position x
** is the-dimensional input vector.
** Homogeneous dilation ( homothety ), the scalar multiplication operator on a vector space or affine space
** vector space valued functions ( not necessarily linear ),
** d ( p * E, p * F, σ ( D )) is the " difference element " of K ( B ( X )/ S ( X )) associated to two vector bundles p * E and pF on B ( X ) and an isomorphism σ ( D ) between them on the subspace S ( X ).
** K-Vect, the category of vector spaces over a field K, with the one-dimensional vector space K serving as the unit.
** Chern class, a type of characteristics class associated to complex vector bundles ; named after Shiing-Shen Chern
** List of vector spaces in mathematics
** Finite-dimensional vector spaces are better-behaved than infinite-dimensional ones.
** Poynting vector, a representation of the energy flux of an electromagnetic field

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