linearly independent

linearly independent
(Of a set of vectors or ring elements) whose nontrivial linear combinations are nonzero

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  • linearly independent system — tiesiškai nepriklausoma sistema statusas T sritis fizika atitikmenys: angl. linearly independent system vok. linear unabhängiges System, n rus. линейно независимая система, f pranc. système linéairement indépendant, m …   Fizikos terminų žodynas

  • linearly independent — adjective see linear independence …   New Collegiate Dictionary

  • linearly independent — adjective see linear independence …   Useful english dictionary

  • Independent Energy Partners — Independent Energy Partners, Inc. (IEP) is an American oil shale company Based in Denver, Colorado. It is a developer of the Geothermic Fuels Cells Process, an in situ oil shale extraction process.HistoryOn February 3, 2004, IEP received an… …   Wikipedia

  • Maximal independent set — This article is about the combinatorial aspects of maximal independent sets of vertices in a graph. For other aspects of independent vertex sets in graph theory, see Independent set (graph theory). For other kinds of independent sets, see… …   Wikipedia

  • Linear independence — In linear algebra, a family of vectors is linearly independent if none of them can be written as a linear combination of finitely many other vectors in the collection. A family of vectors which is not linearly independent is called linearly… …   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

  • Rank (linear algebra) — The column rank of a matrix A is the maximum number of linearly independent column vectors of A. The row rank of a matrix A is the maximum number of linearly independent row vectors of A. Equivalently, the column rank of A is the dimension of the …   Wikipedia

  • Overdetermined system — For the philosophical term, see overdetermination. In mathematics, a system of linear equations is considered overdetermined if there are more equations than unknowns.[1] The terminology can be described in terms of the concept of counting… …   Wikipedia

  • Wronskian — In mathematics, the Wronskian is a function named after the Polish mathematician Józef Hoene Wroński. It is especially important in the study of differential equations, where it can be used to determine whether a set of solutions is linearly… …   Wikipedia

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