Explore: Scalars

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

elements of a field are called scalars and relate to vectors in an associated vector space through the operation of scalar multiplication (defined in the

scalar are length, mass, charge, volume, and time. Scalars may represent the magnitude of physical quantities, such as speed is to velocity. Scalars do

change under Lorentz transformations, the Lorentz scalars remain unchanged. A simple Lorentz scalar in Minkowski spacetime is the spacetime distance ("length"

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

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

a scalar field is a function associating a single[dubious – discuss] number to each point in a region of space – possibly physical space. The scalar may

In the mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To

different products, the scalar-valued scalar triple product and, less often, the vector-valued vector triple product. The scalar triple product (also called