** Homogeneous dilation ( homothety ), the scalar multiplication operator on a vector space or affine space

** Moreover, W = 0 if and only if the metric is locally conformal to the standard Euclidean metric ( equal to fg, where g is the standard metric in some coordinate frame and f is some scalar function ).

** Lorentz scalar, a scalar which is invariant under a Lorentz transformation

** Vectors, including the cross product and the triple scalar product

** matrix multiplication,

** Vedic square, multiplication table

** Closure axiom for multiplication: Given two integers a and b, their product, a · b is also an integer.

** Associativity of multiplication: Given any integers, a, b and c, ( a · b ) · c

** division, the mathematical operation that is the inverse of multiplication

** Commuting matrices, sets of matrices whose products do not depend on the order of multiplication

** dot operator, used as notation for multiplication ( )

** multiplication by 2

** Operator algebra: continuous linear operators on a topological vector space with multiplication given by the composition.

** Her mask has a unique math symbol ( a combination of the addition, multiplication and division symbols ) on the front, and three white horizontal stripes splitting the heart-shaped visor into four parts indicates her being the fourth member.

* By the definition of addition and scalar multiplication of linear functionals in the dual space,

The dual space V * itself becomes a vector space over F when equipped with the following addition and scalar multiplication:

In mathematical analysis, an isomorphism between two Hilbert spaces is a bijection preserving addition, scalar multiplication, and inner product.

In mathematics, a linear map, linear mapping, linear transformation, or linear operator ( in some contexts also called linear function ) is a function between two modules ( including vector spaces ) that preserves the operations of module ( or vector ) addition and scalar multiplication.

In view of the first example, where the multiplication is done by rescaling the vector v by a scalar a, the multiplication is called scalar multiplication of v by a.

The cross symbol generally denotes a vector multiplication, while the dot denotes a scalar multiplication.

# The scalar multiplication ·: K × V → V, where K is the underlying scalar field of V, is jointly continuous.

Sometimes an otherwise complicated operation reduces to multiplication by a scalar ( a number ).

* Euclidean subspace, in linear algebra, a set of vectors in n-dimensional Euclidean space that is closed under addition and scalar multiplication

* Linear subspace, in linear algebra, a subset of a vector space that is closed under addition and scalar multiplication

C < sup >∞</ sup >( M ) is a real associative algebra for the pointwise product and sum of functions and scalar multiplication.

These derivations form a real vector space if we define addition and scalar multiplication for derivations by

The operation of multiplying a vector by a scalar is called scalar multiplication.

; scalar multiplication: multiplication of a scalar field and a vector field, yielding a vector field: ;