- In
linear algebra, two
vectors in an
inner product space are
orthonormal if they are
orthogonal unit vectors. A unit
vector means that the
vector has...
- In mathematics,
particularly linear algebra, an
orthonormal basis for an
inner product space V {\displaystyle V} with
finite dimension is a
basis for...
- 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...
- In
Riemannian geometry and
relativity theory, an
orthonormal frame is a tool for
studying the
structure of a
differentiable manifold equipped with a metric...
- 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...
-
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...
- set of all
orthonormal frames for E x {\displaystyle E_{x}} . An
orthonormal frame for E x {\displaystyle E_{x}} is an
ordered orthonormal basis for E...
-
function by a
certain orthonormal series generated by a wavelet. This
article provides a formal,
mathematical definition of an
orthonormal wavelet and of the...
- An
orthonormal function system (ONS) is an
orthonormal basis in a
vector space of functions. Melzak, Z. A. (2012),
Companion to
Concrete Mathematics,...
- an
element x {\displaystyle x} in a
Hilbert space with
respect to an
orthonormal sequence. The
inequality was
derived by F.W.
Bessel in 1828. Let H {\displaystyle...
