Definition of Scalar. Meaning of Scalar. Synonyms of Scalar

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

Definition of Scalar

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 Scalar 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...
- A scalar is an element of a field which is used to define a vector space. In linear algebra, real numbers or generally elements of a field are called scalars...
- scalar matrix; that is, a scalar multiple λ of the identity matrix I. Its effect on a vector is scalar multiplication by λ. For example, a 3×3 scalar...
- different products, the scalar-valued scalar triple product and, less often, the vector-valued vector triple product. The scalar triple product (also called...
- In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors)...
- scalar is an expression, formed from items of the theory, which evaluates to a scalar, invariant under any Lorentz transformation. A Lorentz scalar may...
- quantity expressed as the gradient of the electrostatic potential, which is a scalar quantity denoted by V or occasionally φ, equal to the electric potential...
- In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract...
- may be added together and multiplied ("scaled") by numbers called scalars. Scalars are often real numbers, but can be complex numbers or, more generally...
- scalar magnitude by writing it as a 1 = a 1 b ^ {\displaystyle \mathbf {a} _{1}=a_{1}\mathbf {\hat {b}} } where a 1 {\displaystyle a_{1}} is a scalar...