# 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 ?
An important feature of this model is the effect of geometry and the universe content through space-time torsion and trace of momentum-energy tensors, where T is torsion scalar and [THETA] is energy-momentum tensor trace.
A similar question emerged in the previous studies of analogous (e.g., using the criteria of unitary implementation of the dynamics) uniqueness of quantization results concerning the scalar field [4-8].
Markin, "On the Carleman classes of vectors of a scalar type spectral operator," International Journal of Mathematics and Mathematical Sciences, no.
Stoimenov, "Switched scalar optimal law quantization with adaptation performed to both the variance and the distribution of speech signal", Elektronika ir Elektrotechnika, vol.
As the scalar dissipation rate is increased, the maximum flame temperature decreases due to diffusive heat losses.
A passive scalar source flux was defined for each of these regions, which was equated to the estimated mass flow rate (M) of the water {density, p = 997 kg/[m.sup.3]) through the opening.
It is noticed that the scalar Green function with complex arguments is used here, and the translation for the vector and scalar expansion coefficients shares the same operators.
An MRI-based, radiation-free estimation of a cochlear-implant electrode's scalar position is possible.
The area of the parallelogram is equal to zero if vectors generating it are parallel (collinear, i [parallel] u) when the apparent IP equals to the scalar (classical) IP.
To assess interrater reliability (i.e., level of agreement of outcomes between test administrators), the intraclass correlation coefficient (ICC) was estimated for each test of which a scalar value was produced.

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