-
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...
- In mathematics,
particularly linear algebra, an
orthonormal basis for an
inner product space V {\displaystyle V} with
finite dimension is a
basis for...
-
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...
- In
Riemannian geometry and
relativity theory, an
orthonormal frame is a tool for
studying the
structure of a
differentiable manifold equipped with a metric...
- In mathematics, an
isometry (or congruence, or
congruent transformation) is a distance-preserving
transformation between metric spaces,
usually ****umed...
-
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...
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forms an
orthonormal basis in the simplex. The
values x i ∗ , i = 1 , 2 , … , D − 1 {\displaystyle x_{i}^{*},i=1,2,\ldots ,D-1} are the (
orthonormal and Cartesian)...
-
generalizes the
eigendecomposition of a
square normal matrix with an
orthonormal eigenbasis to any m × n {\displaystyle m\times n} matrix. It is related...
-
These matrices are traceless, Hermitian, and obey the
extra trace orthonormality relation, so they can
generate unitary matrix group elements of SU(3)...
