Definition of Scalars. Meaning of Scalars. Synonyms of Scalars

Here you will find one or more explanations in English for the word Scalars. Also in the bottom left of the page several parts of wikipedia pages related to the word Scalars and, of course, Scalars synonyms and on the right images related to the word Scalars.

Definition of Scalars

Scalar
Scalar Sca"lar, n. (Math.) In the quaternion analysis, a quantity that has magnitude, but not direction; -- distinguished from a vector, which has both magnitude and direction.

Meaning of Scalars from wikipedia

- Look up scalar in Wiktionary, the free dictionary. Scalar may refer to: Scalar (mathematics), an element of a field, which is used to define a vector space...
- physical quantities, such as speed is to velocity. Scalars do not represent a direction. Scalars are unaffected by changes to a vector space basis (i...
- elements of a field are called scalars and relate to vectors in an ****ociated vector space through the operation of scalar multiplication (defined in the...
- kinds of vector spaces based on different kinds of scalars: real numbers and complex numbers. Scalars can also be, more generally, elements of any field...
- Additivity in the vector: c(v + w) = cv + cw; Compatibility of product of scalars with scalar multiplication: (cd)v = c(dv); Multiplying by 1 does not change a...
- change under Lorentz transformations, the Lorentz scalars remain unchanged. A simple Lorentz scalar in Minkowski spacetime is the spacetime distance ("length"...
- of scalars, f ∗ M = Hom R ⁡ ( S , M ) {\displaystyle f_{*}M=\operatorname {Hom} _{R}(S,M)} , the coinduced module, formed by co-extension of scalars, and...
- different products, the scalar-valued scalar triple product and, less often, the vector-valued vector triple product. The scalar triple product (also called...
- physics, a scalar field is a function ****ociating a single number to each point in a region of spacepossibly physical space. The scalar may either...
- In mathematical physics, scalar potential describes the situation where the difference in the potential energies of an object in two different positions...