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

- Scalar may refer to: Scalar (mathematics), an element of a field, which is used to define a vector space, usually the field of real numbers Scalar (physics)...
- In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors)...
- mathematics and physics, a scalar field ****ociates a scalar value to every point in a space – possibly physical space. The scalar may either be a (dimensionless)...
- A scalar or scalar quantity in physics is a physical quantity that can be described by a single element of a number field such as a real number, often...
- A scalar is an element of a field which is used to define a vector space. A quantity described by multiple scalars, such as having both direction and magnitude...
- {\displaystyle a_{1}} is a scalar, called the scalar projection of a onto b, and b̂ is the unit vector in the direction of b. In turn, the scalar projection is defined...
- diagonal entries equal is a scalar matrix, that is, a scalar multiple λI of the identity matrix I. Its effect on a vector is scalar multiplication by λ. For...
- In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract...
- different products, the scalar-valued scalar triple product and, less often, the vector-valued vector triple product. The scalar triple product (also called...
- In Riemannian geometry, the scalar curvature (or the Ricci scalar) is the simplest curvature invariant of a Riemannian manifold. To each point on a Riemannian...
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