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...
- Scalar quantities or simply scalars are physical quantities that can be described by a single pure number (a scalar, typically a real number), accompanied...
- 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...
- change under Lorentz transformations, the Lorentz scalars remain unchanged. A simple Lorentz scalar in Minkowski spacetime is the spacetime distance ("length"...
- 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...
- 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...
- In mathematical physics, scalar potential describes the situation where the difference in the potential energies of an object in two different positions...
- 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...
- Newman–Penrose (NP) formalism of general relativity, Weyl scalars refer to a set of five complex scalars { Ψ 0 , Ψ 1 , Ψ 2 , Ψ 3 , Ψ 4 } {\displaystyle \{\Psi...
- context of applications to general relativity, the Kretschmann scalar is a quadratic scalar invariant. It was introduced by Erich Kretschmann. The Kretschmann...