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Topic: Basis vector

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	Vector (spatial) - Wikipedia, the free encyclopedia
		A spatial vector is a special case of a tensor and is also analogous to a four-vector in relativity (and is sometimes therefore called a three-vector in reference to the three spatial dimensions, although this term also has another meaning for p-vectors of differential geometry).
		The force and displacement are vectors, the magnitudes are scalars, and the coordinates are neither.
		The length or magnitude or norm of the vector a is denoted by
	en.wikipedia.org /wiki/Vector_(spatial) (3162 words)

	Coordinate system - Facts, Information, and Encyclopedia Reference article
		In the case that vector quantities are considered in relation to position and displacement, as in vector fields, a similarity transformation of space is normally accompanied by a corresponding linear transformation of the other vector quantities, to preserve angles between e.g.
		Changing the basis is a coordinate transformation, a linear transformation that can be summarized by a matrix, and is computationally the same as a mapping of points to other points keeping the bases the same: e.g.
		an expansion by a factor two in the direction of one basis vector is a mapping of points to other points which changes the coordinates the same as keeping the points in place but halving the magnitude of that basis vector (in both cases the corresponding coordinate is doubled).
	www.startsurfing.com /encyclopedia/c/o/o/Coordinate.html (1130 words)

	Ma-Mm
		The use of the package also requires the installation of the PROJ cartographic projection system and a device independent vector graphics system, both of which are available in separate directories at the same site.
		The Mathematical Markup Language is a low-level specification for describing mathematics as a basis for machine communication.
		To address a variety of time/space demands in structural engineering computing, the library supports a wide range of matrix abstractions and algorithms, such as symmetric matrices, profile matrices, banded matrices, column vectors, and LU decompositions, etc. The object-oriented paradigm supported by C++ is applied in the design of the library.
	stommel.tamu.edu /~baum/linuxlist/linuxlist/node31.html (11401 words)

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