- 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...