- Basis theorem
Basis theorem can refer to:
*
Hilbert's basis theorem , in algebraic geometry
*Low basis theorem , in computability theory
Wikimedia Foundation. 2010.
Basis theorem
Look at other dictionaries:
Hilbert's basis theorem — In mathematics, Hilbert s basis theorem states that every ideal in the ring of multivariate polynomials over a field is finitely generated. This can be translated into algebraic geometry as follows: every algebraic set over a field can be… … Wikipedia
Low basis theorem — The low basis theorem in computability theory states that every nonempty Pi^0 1 class contains a set of low degree. It was first proved by Carl Jockusch and Robert I. Soare in 1972. References *Soare, R. Recursively enumerable sets and degrees.… … Wikipedia
Basis (linear algebra) — Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference. In linear algebra, a basis is a set of linearly independent vectors that, in a linear… … Wikipedia
basis — [n1] physical foundation base, bed, bottom, foot, footing, ground, groundwork, rest, resting place, seat, substructure, support; concept 442 basis [n2] foundation for belief, action antecedent, assumption, authority, axiom, backbone, background,… … New thesaurus
basis — *base, foundation, ground, groundwork Analogous words: *principle, fundamental, axiom, law, theorem: premise, postulate, presupposition, presumption, assumption (see under PRESUPPOSE) … New Dictionary of Synonyms
Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements … Wikipedia
Theorem, Bayes — A probability principle set forth by the English mathematician Thomas Bayes (1702 1761). Bayes theorem is of value in medical decision making and some of the biomedical sciences. Bayes theorem is employed in clinical epidemiology to determine the … Medical dictionary
basis — Synonyms and related words: Anschauung, a priori principle, affirmation, ambition, angle, angle of vision, antecedents, apriorism, aspiration, assertion, assumed position, assumption, axiom, base, basement, bearing wall, bed, bedding, bedrock,… … Moby Thesaurus
theorem — Synonyms and related words: a priori principle, a priori truth, affirmation, apriorism, assertion, assumed position, assumption, axiom, basis, brocard, categorical proposition, conjecture, data, deduction, dictate, dictum, first principles,… … Moby Thesaurus
Normal basis — In mathematics, a normal basis in field theory is a special kind of basis for Galois extensions of finite degree, characterised as forming a single orbit for the Galois group. The normal basis theorem states that any finite Galois extension of… … Wikipedia
