biorthogonal vectors

biorthogonal vectors
мат.
биортогональные векторы

English-Russian scientific dictionary. 2008.

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  • Biorthogonal system — In mathematics, a biorthogonal system is a pair of topological vector spaces E and F that are in duality, with a pair of indexed subsets: ilde v i in E and ilde u i in F such that: langle ilde v i , ilde u j angle = delta {i,j}with the Kronecker… …   Wikipedia

  • Inner product space — In mathematics, an inner product space is a vector space with the additional structure of inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors.… …   Wikipedia

  • Orthogonalization — In linear algebra, orthogonalization is the process of finding a set of orthogonal vectors that span a particular subspace. Formally, starting with a linearly independent set of vectors {v1,...,vk} in an inner product space (most commonly the… …   Wikipedia

  • Dual basis — In linear algebra, a dual basis is a set of vectors that forms a basis for the dual space of a vector space. For a finite dimensional vector space V, the dual space V* is isomorphic to V, and for any given set of basis vectors {e1, …, en} of V,… …   Wikipedia

  • List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… …   Wikipedia

  • Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia

  • LTI system theory — or linear time invariant system theory is a theory in the field of electrical engineering, specifically in circuits, signal processing, and control theory, that investigates the response of a linear, time invariant system to an arbitrary input… …   Wikipedia


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