vector space

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vector space

A system consisting of a set of generalized vectors and a field of scalars, having the same rules for vector addition and scalar multiplication as physical vectors and scalars.

vector space

(Mathematics) Maths a mathematical structure consisting of a set of objects (vectors) associated with a field of objects (scalars), such that the set constitutes an Abelian group and a further operation, scalar multiplication, is defined in which the product of a scalar and a vector is a vector See also scalar multiplication

vector space

A set of generalized vectors and a field of scalars, together with rules for their addition and multiplication (the same rules used for ordinary vectors and scalars).

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algebra basis decomposition dyad linear algebra linear space scalar scalar multiplication vector vector algebra vector decomposition vectorial			Vector spaces, multilinear mappings, dual spaces, tensor product spaces, tensors, symmetric and skew-symmetric tensors, and exterior or Grassmann algebra are described in the initial chapters, with definitions and examples provided. Tensors and manifolds with applications to physics, 2d ed. (reprint, ... by SciTech Book News There are lots of motives for dimension reduction in the vector space model: decrease of memory space needed for representation of documents, faster performance of information retrieval or automatic classification of documents, reduction of noise and redundancy present in the representation of documents. Approximate representation of textual documents in the concept space by Dobsa, Jasminka; Basic, Bojana Dalbelo / Informatica The book provides guidance not only on systems of linear equations and matrix algebra but also on the often-harder-to-grasp topics of vector spaces, linear transformations, determinants, and eigenvector problems. Linear Algebra Demystified by Science News			ve Veadar veal veal cordon bleu veal crate veal parmesan veal parmigiana veal roast veal scallopini vealer vealy veau Veblen Vection Vectitation vectography vector Vector addition vector algebra vector boson vector decomposition vector field vector graphic vector product vector sights vector space vector sum vector-borne transmission vectored attack vectorial Vecture vecturist Veda Vedaism vedalia Vedanga Vedanta Vedantic Vedantism Vedantist Vedda Veddahs Veddoid vedette Vedic Vedic literature Vedism Vedist Vedro vee veejay			Vector Product Format Production System Vector Product Standard vector products vector products Vector Program Vector Quantification Vector quantization Vector quantization Vector Quantization Neural Network Vector Quantizing Code Vector Quantizing Level Vector Radiative Transfer Equation vector random variable Vector Relational Format vector resolver Vector Short-Open Calibration vector sights Vector signal analyzer Vector Signal Generator Vector Signal Image Processing Vector Signal Processing Vector Size Measure Vector Smart Map Vector Smart Map Aeronautical Data Vector Soft-Decision Quantizer vector space Vector Space Access Structure Vector Space Information Retrieval Vector space model Vector spaces Vector spaces Vector Statistical Library vector steering vector sum vector sum Vector Sum Excited Linear Predictive Vector Sum Excited Linear Predictive Coding Vector Sum Method Vector Sum Phase Shifter Vector Symbol Decoding Vector Symmetric Multi-Processor Vector System vector table Vector Technology Institute Vector Technology, Inc. Vector Time Frames Vector to raster Vector to raster Vector to Raster Converter vector transmission vector transmission vector transmission vector transmission Vector Tube Vector Units Vector valued function

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