- 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 ****ociated
vector space through the
operation of
scalar multiplication (defined in the...
- In physics,
scalars (or
scalar quantities) are
physical quantities that are
unaffected by
changes to a
vector space basis (i.e., a
coordinate system transformation)...
- transformations,
Lorentz scalars remain unchanged. A
Lorentz scalar is not
always immediately seen to be an
invariant scalar in the
mathematical sense...
-
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...
- In
mathematical physics,
scalar potential,
simply stated,
describes the
situation where the
difference in the
potential energies of an
object in two different...
- may be
added together and
multiplied ("scaled") by
numbers called scalars.
Scalars are
often real numbers, but can be
complex numbers or, more generally...
- Newman–Penrose (NP)
formalism of
general relativity, Weyl
scalars refer to a set of five
complex scalars { Ψ 0 , Ψ 1 , Ψ 2 , Ψ 3 , Ψ 4 } {\displaystyle \{\Psi...
- the
scalar projection of a
vector a{\displaystyle \mathbf {a} } on (or onto) a
vector b,{\displaystyle \mathbf {b} ,} also
known as the
scalar resolute...
-
context of
applications to
general relativity, the
Kretschmann scalar is a
quadratic scalar invariant. It was
introduced by
Erich Kretschmann. The Kretschmann...
