Hilbert basis

Hilbert basis

English-Finnish mathematical dictionary. 2011.

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  • Hilbert basis — may refer to * Orthonormal basis * Hilbert basis (linear programming) * Hilbert s basis theorem …   Wikipedia

  • Hilbert-Basis — Als Hilbertraumbasis wird in der Funktionalanalysis eine Basis eines Hilbertraums bezeichnet. Ein Hilbertraum ist ein (oft unendlichdimensionaler) Vektorraum, der mit einem Skalarprodukt ausgestattet ist und in der von diesem induzierten Norm… …   Deutsch Wikipedia

  • Hilbert basis (linear programming) — In linear programming, a Hilbert basis for a convex cone is a minimal set of integer vectors such that every integer vector in the convex cone is a linear combination of the vectors in the Hilbert basis with non negative integer coefficients.More …   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

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

  • Hilbert's fourteenth problem — In mathematics, Hilbert s fourteenth problem, that is, number 14 of Hilbert s problems proposed in 1900, asks whether certain rings are finitely generated. The setting is as follows: Assume that k is a field and let K be a subfield of the field… …   Wikipedia

  • Hilbert's Nullstellensatz — (German: theorem of zeros, or more literally, zero locus theorem – see Satz) is a theorem which establishes a fundamental relationship between geometry and algebra. This relationship is the basis of algebraic geometry, an important branch of… …   Wikipedia

  • Hilbert's paradox of the Grand Hotel — is a mathematical paradox about infinite sets presented by German mathematician David Hilbert (1862–1943). The Paradox of the Grand Hotel Consider a hypothetical hotel with infinitely many rooms, all of which are occupied that is to say every… …   Wikipedia

  • Hilbert's sixth problem — is to axiomatize those branches of science in which mathematics is prevalent. It occurs on the list of Hilbert s problems given out in 1900.The explicit statement reads:6. Mathematical Treatment of the Axioms of Physics. The investigations on the …   Wikipedia

  • Hilbert's fifteenth problem — is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It entails a rigorous foundation of Schubert s enumerative calculus.Splitting the question, as now it would be understood, into Schubert calculus… …   Wikipedia

  • Basis theorem — can refer to:* Hilbert s basis theorem, in algebraic geometry * Low basis theorem, in computability theory …   Wikipedia

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