# scalar

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## scalar,

quantity or number possessing only sign and magnitude, e.g., the real numbers (see numbernumber,
entity describing the magnitude or position of a mathematical object or extensions of these concepts. The Natural Numbers

Cardinal numbers describe the size of a collection of objects; two such collections have the same (cardinal) number of objects if their
), in contrast to vectorsvector,
quantity having both magnitude and direction; it may be represented by a directed line segment. Many physical quantities are vectors, e.g., force, velocity, and momentum.
and tensorstensor,
in mathematics, quantity that depends linearly on several vector variables and that varies covariantly with respect to some variables and contravariantly with respect to others when the coordinate axes are rotated (see Cartesian coordinates).
; scalars obey the rules of elementary algebra. Many physical quantities have scalar values, e.g., length, area, mass, energy, and electric charge. Such quantities as velocity, force, momentum, and spin are vectors and follow different algebraic rules.

## Scalar

a quantity such that each of its values can be expressed by a single (real) number. Examples of scalars include length, area, time, mass, density, temperature, and work. The term “scalar” is used—sometimes simply as a synonym for “number”—in vector analysis, where a scalar is distinguished from a vector.

## scalar

[′skā·lər]
(computer science)
A single value or item.
(mathematics)
One of the algebraic quantities which form a field, usually the real or complex numbers, by which the vectors of a vector space are multiplied.
(physics)
A quantity which has magnitude only and no direction, in contrast to a vector.
A quantity which has magnitude only, and has the same value in every coordinate system. Also known as scalar invariant.

## scalar

1. a quantity, such as time or temperature, that has magnitude but not direction
2. Maths an element of a field associated with a vector space
3. having magnitude but not direction

## scalar

(mathematics)
A single number, as opposed to a vector or matrix of numbers. Thus, for example, "scalar multiplication" refers to the operation of multiplying one number (one scalar) by another and is used to contrast this with "matrix multiplication" etc.

## scalar

(architecture)
In a parallel processor or vector processor, the "scalar processor" handles all the sequential operations - those which cannot be parallelised or vectorised.

## scalar

(programming)
Any data type that stores a single value (e.g. a number or Boolean), as opposed to an aggregate data type that has many elements. A string is regarded as a scalar in some languages (e.g. Perl) and a vector of characters in others (e.g. C).

## scalar

A single item or value. Contrast with vector and array, which are made up of multiple values. See scalar processor.
References in periodicals archive ?
44]) of the 5D energy-momentum tensor by including an undetermined parameter called scalar charge S, e.
If the scalar dissipation rate is decreased (moving to the right), the chemical production rate and diffusive losses balance at a higher temperature.
as integral average scalar product of IV in 3D space R(3).
Central to the issue of estimating an unbiased rumen-reticulum fill scalar is whether covariates that actually influence the body mass--rumen-reticulum fill relationship are included.
We describe experimental results and theoretical limitations on using Aligator for generating invariants of programs over scalars and arrays.
It is easier to achieve super-acceleration if 2[omega] + 3 < 0, but this option is not so lucrative since in the Einstein frame, where the tensor and scalar degrees are not mixed, the kinetic energy of the latter is negative, and thus problematic .
The ADIC Scalar 100 is a midrange library that offers the industry's leading combination of storage density, trouble-free scalability, and advanced storage networking support.
In the 5D fully covariant K-K theory with a scalar field that has successfully unified the 4D Einsteinian general relativity and Maxwellian electromagnetic theory, the gravitational field of a static spherically symmetric object in the Einstein frame was obtained from the 5D equation of motion of matter as [16, 22]
As it was shown in [24,25] in the case of a scalar damage parameter, the mesoscopic theory leads not only to the definition of damage parameters, but also to equations of motion for them.
The resulting optical field is denoted by a scalar wave function,
ADIC: Scalar i2000 functions include native partitioning into multiple logical libraries, mixed tape drive technology, native Fibre Channel connectivity, advanced performance monitoring and alerts via standard e-mail and pager networks.
Using an appropriate gauge, these equations imply that the scalar curvature of the manifold is nonnegative.

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