a function of several variables which is a product of a number of functions of one variable, one for each variable, each of which is linear in that variable
An object in linear algebra, generalizing a vector, an inner product, and a linear transformation, with a multi-dimensional matrix
The code-name for Microsofts OLAP API, a set of OLE COM objects and interfaces designed to add multidimensionality to OLE DB It has become the de facto industry standard multidimensional API, being adopted both by most front-end OLAP tools vendors and by several other OLAP database vendors The official name is OLE DB for OLAP, and the 1 0 specification was first published in February 1998
The internal name for Microsoft's OLAP API, a set of OLE COM objects and interfaces designed to add multidimensionality to OLE DB It seems set to become the de facto industry standard multidimensional API, being adopted both by most from-end OLAP tools vendors and by several other OLAP database vendors The official name will be OLE DB for OLAP, and the 1 0 specification was published in February 1998
(rhd) - Anatomy 'a muscle structure that stretches or tightens some part of the body'; Mathematics 'a set of functions that are transformed in a particular way when changing from one coordinate system to another'
An array of functions which obeys certain laws of transformation A one-row or one-column tensor array is a vector The motivation for the use of tensors in some branches of physics is that they are invariants, not depending on the particular coordinate system employed
a POOMA container implementing multidimensional mathematical tensors as first-class objects See Also: TinyMatrix, Vector
(n) A general term describing all types of quantitative data A tensor has two parts: the dimensionality of the coordinate system, d, and the order of the tensor, n The number of components (scalar values) needed to express the tensor is equal to dn For example, a 2-D vector is a tensor of order n_=_1 with 21_=_2 components
any of several muscles that cause an attached structure to become tense or firm a generalization of the concept of a vector
A vector whose magnitude depends on direction, e g , the wind can gust at 10 knots from the north and 20 knots from the west
The ratio of one vector to another in length, no regard being had to the direction of the two vectors; so called because considered as a stretching factor in changing one vector into another
Branch of mathematics concerned with relations or laws that remain valid regardless of the coordinate system used to specify the quantities. Tensors, invented as an extension of vectors, are essential to the study of manifolds. Every vector is a tensor, but tensors are more general and not easily pictured as geometrical objects. A tensor can be thought of as an abstract object defined as a set of components (like geometric coordinates) that, under a transformation of coordinates, undergo a specific type of transformation. While tensors were explored before Albert Einstein, the success of his general theory of relativity led to their widespread exploration and use by mathematicians and physicists