-
guarantees that
every vector space admits an
orthonormal basis. This is
possibly the most
significant use of
orthonormality, as this fact
permits operators on inner-product...
- algebra, an
orthonormal basis for an
inner product space V with
finite dimension is a
basis for V {\displaystyle V}
whose vectors are
orthonormal, that is...
- In
Riemannian geometry and
relativity theory, an
orthonormal frame is a tool for
studying the
structure of a
differentiable manifold equipped with a metric...
-
function by a
certain orthonormal series generated by a wavelet. This
article provides a formal,
mathematical definition of an
orthonormal wavelet and of the...
- algebra, an
orthogonal matrix, or
orthonormal matrix, is a real
square matrix whose columns and rows are
orthonormal vectors. One way to
express this is...
-
product space has an
orthonormal basis. The two
previous theorems raise the
question of
whether all
inner product spaces have an
orthonormal basis. The answer...
- the
first two
conditions basis is
called an
orthonormal system or an
orthonormal set (or an
orthonormal sequence if B is countable). Such a
system is...
-
possible to talk
about the set of all
orthonormal frames for Ex. An
orthonormal frame for Ex is an
ordered orthonormal basis for Ex, or, equivalently, a linear...
-
These matrices are traceless, Hermitian, and obey the
extra trace orthonormality relation, so they can
generate unitary matrix group elements of SU(3)...
- An
orthonormal function system (ONS) is an
orthonormal basis in a
vector space of functions. Melzak, Z. A. (2012),
Companion to
Concrete Mathematics,...
