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этимология

Что (кто) такое basis theorem - определение

WIKIMEDIA DISAMBIGUATION PAGE

Найдено результатов: 2267

Hilbert's basis theorem

THEOREM

Hilberts basis theorem; Hilbert basis theorem; Hilbert's Basis Theorem; Hilbert Basis Theorem

In mathematics, specifically commutative algebra, Hilbert's basis theorem says that a polynomial ring over a Noetherian ring is Noetherian.

https://en.wikipedia.org/wiki/Hilbert's_basis_theorem

Low basis theorem

PARTICULAR THEOREM IN COMPUTABILITY THEORY

Low Basis Theorem

The low basis theorem is one of several basis theorems in computability theory, each of which showing that, given an infinite subtree of the binary tree 2^{<\omega}, it is possible to find an infinite path through the tree with particular computability properties. The low basis theorem, in particular, shows that there must be a path which is low; that is, the Turing jump of the path is Turing equivalent to the halting problem \emptyset'.

https://en.wikipedia.org/wiki/Low_basis_theorem

Standard basis

BASIS OF EUCLIDEAN SPACE CONSISTING OF ONE-HOT VECTORS

Standard bases; Standard basis vector; Kronecker basis; Standard unit vector

In mathematics, the standard basis (also called natural basis or canonical basis) of a coordinate vector space (such as \mathbb{R}^n or \mathbb{C}^n) is the set of vectors whose components are all zero, except one that equals 1. For example, in the case of the Euclidean plane \mathbb{R}^2 formed by the pairs of real numbers, the standard basis is formed by the vectors

https://en.wikipedia.org/wiki/Standard_basis

Basis (universal algebra)

STRUCTURE INSIDE OF SOME (UNIVERSAL) ALGEBRAS, WHICH ARE CALLED FREE ALGEBRAS. IT GENERATES ALL ALGEBRA ELEMENTS FROM ITS OWN ELEMENTS BY THE ALGEBRA OPERATIONS IN AN INDEPENDENT MANNER

Basis (Universal Algebra)

In universal algebra, a basis is a structure inside of some (universal) algebras, which are called free algebras. It generates all algebra elements from its own elements by the algebra operations in an independent manner.

https://en.wikipedia.org/wiki/Basis_(universal_algebra)

Dual basis

BASIS ON A DUAL VECTOR SPACE CANONICALLY ASSOCIATED TO A BASIS ON THE ORIGINAL VECTOR SPACE

Reciprocal basis

In linear algebra, given a vector space V with a basis B of vectors indexed by an index set I (the cardinality of I is the dimensionality of V), the dual set of B is a set B∗ of vectors in the dual space V∗ with the same index set I such that B and B∗ form a biorthogonal system. The dual set is always linearly independent but does not necessarily span V∗.

https://en.wikipedia.org/wiki/Dual_basis

Basis Technology

TEXT ANALYTICS COMPANY

Basis Technology Corp.

BasisTech is a software company specializing in applying artificial intelligence techniques to understanding documents and unstructured data written in different languages. It has headquarters in Somerville, Massachusetts and offices in San Francisco, Washington, D.

https://en.wikipedia.org/wiki/Basis_Technology

Divergence theorem

$</math> approaches <math>\operatorname{div} \mathbf{F}</math>$

GENERALIZATION OF THE FUNDAMENTAL THEOREM IN VECTOR CALCULUS

Gauss' theorem; Gauss's theorem; Gauss theorem; Ostrogradsky-Gauss theorem; Ostrogradsky's theorem; Gauss's Theorem; Divergence Theorem; Gauss' divergence theorem; Ostrogradsky theorem; Gauss-Ostrogradsky theorem; Gauss Ostrogradsky theorem; Gauss–Ostrogradsky theorem

In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, reprinted in is a theorem which relates the flux of a vector field through a closed surface to the divergence of the field in the volume enclosed.

https://en.wikipedia.org/wiki/Divergence_theorem

theorem

IN MATHEMATICS, A STATEMENT THAT HAS BEEN PROVED

Theorems; Proposition (mathematics); Theorum; Mathematical theorem; Logical theorem; Formal theorem; Theorem (logic); Mathematical proposition; Hypothesis of a theorem

n.

Proposition (to be demonstrated), position, dictum, thesis.

Well-ordering theorem

SET-THEORETIC THEOREM OR PRINCIPLE, EQUIVALENT TO THE AXIOM OF CHOICE

Well ordering theorem; Zermelo's well-ordering theorem; Wellordering theorem; Zermelo's theorem; Zermelo Theorem

In mathematics, the well-ordering theorem, also known as Zermelo's theorem, states that every set can be well-ordered. A set X is well-ordered by a strict total order if every non-empty subset of X has a least element under the ordering.

https://en.wikipedia.org/wiki/Well-ordering_theorem

Wedderburn's little theorem

THEOREM

Wedderburn theorem; Wedderburn Theorem

In mathematics, Wedderburn's little theorem states that every finite domain is a field. In other words, for finite rings, there is no distinction between domains, division rings and fields.

https://en.wikipedia.org/wiki/Wedderburn's_little_theorem

Википедия

Basis theorem

Basis theorem can refer to:

Basis theorem (computability), a type of theorem in computability theory showing that sets from particular classes must have elements of particular kinds.
Hilbert's basis theorem, in algebraic geometry, says that a polynomial ring over a Noetherian ring is Noetherian.
Low basis theorem, a particular theorem in computability theory.

https://en.wikipedia.org/wiki/Basis theorem