Übersetzung für 'linear algebra' von Englisch nach Deutsch

linear algebra

lineare Algebra {f}acad.math.

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numerical linear algebra

numerische lineare Algebra {f}math.

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canonical anticommutation relations algebra <CAR algebra>

CAR-Algebra {f}math.

canonical commutation relations algebra <CCR algebra>

CCR-Algebra {f}math.

approximately finite algebra <AF algebra>

AF-Algebra {f}math.

approximately finite dimensional C*-algebra <AF C*-algebra>

AF-C*-Algebra {f}math.

algebra

Algebra {f}math.

Weyl algebra

Weyl-Algebra {f}math.

Lie algebra

Lie-Algebra {f}math.

Lie'sche Algebra {f}math.

switching algebra

Schaltalgebra {f}comp.

logic algebra

Schaltalgebra {f}math.

Boolean algebra

Schaltalgebra {f}comp.

abstract algebra

abstrakte Algebra {f}math.

symmetry algebra

Symmetrie-Algebra {f}math.

exterior algebra

äußere Algebra {f}math.

symmetric algebra

symmetrische Algebra {f}math.

local algebra

lokale Algebra {f}math.

matrix algebra

Matrixalgebra {f}math.

vector algebra

Vektoralgebra {f}math.

group algebra

Gruppenalgebra {f}math.

gauge algebra

Eichalgebra {f}math.phys.

• Homomorphisms of vector spaces are also called linear maps, and their study is the subject of linear algebra.
• Representations of groups are important because they allow many group-theoretic problems to be reduced to problems in linear algebra, which is well understood.
• For example, the fastest known algorithms for polynomial factorization and linear algebra over the field of rational numbers proceed by reduction modulo one or several primes, and then reconstruction of the solution by using Chinese remainder theorem, Hensel lifting or the LLL algorithm.
• Most importantly for algebraic purposes, any field may be used as the scalars for a vector space, which is the standard general context for linear algebra.
• Another definition of Euclidean spaces by means of vector spaces and linear algebra has been shown to be equivalent to the axiomatic definition.

• Today, the theory rests on advanced topics in linear algebra, algebra and combinatorics.
• Personal initiatives are also common: Doctor of mathematics Ulrich Matthias created a document about the foundations of Linear Algebra and the American group of Maine (USA) wrote a guidebook to learn the programming language Python.
• Although it still uses equations to characterize figures, it also uses other sophisticated techniques such as functional analysis and linear algebra.
• Economists draw on the tools of calculus, linear algebra, statistics, game theory, and computer science.
• They are rarely calculated explicitly in numerical linear algebra, where for applications like checking invertibility and finding eigenvalues the determinant has largely been supplanted by other techniques.

• In linear algebra, if two endomorphisms of a space are represented by commuting matrices in terms of one basis, then they are so represented in terms of every basis.
• The condition number is frequently applied to questions in linear algebra, in which case the derivative is straightforward but the error could be in many different directions, and is thus computed from the geometry of the matrix.
• Mathematics used in rendering includes: linear algebra, calculus, numerical mathematics, signal processing, and Monte Carlo methods.
• In linear algebra, a bilinear transformation is a binary function where the sets "X", "Y", and "Z" are all vector spaces and the derived functions "f" "x" and "f'y" are all linear transformations.
• The theory had been first developed in the 1879 paper of Georg Frobenius and Ludwig Stickelberger and later was both simplified and generalized to finitely generated modules over a principal ideal domain, forming an important chapter of linear algebra.

• Finite-dimensional Hilbert spaces are fully understood in linear algebra, and infinite-dimensional separable Hilbert spaces are isomorphic to [...].
• In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping [...] between two vector spaces that preserves the operations of vector addition and scalar multiplication.