- In mathematics, an
isometry (or congruence, or
congruent transformation) is a distance-preserving
transformation between metric spaces,
usually ****umed...
- In mathematics, the
isometry group of a
metric space is the set of all
bijective isometries (that is, bijective, distance-preserving maps) from the metric...
- In mathematics, a quasi-
isometry is a
function between two
metric spaces that
respects large-scale
geometry of
these spaces and
ignores their small-scale...
-
Isometry group Quasi-
isometry Dade
isometry Euclidean isometry Euclidean plane isometry Itō
isometry Isometric (disambiguation)
Isometries in
physics This...
-
mathematical functional analysis a
partial isometry is a
linear map
between Hilbert spaces such that it is an
isometry on the
orthogonal complement of its kernel...
- In mathematics, a
Euclidean group is the
group of (Euclidean)
isometries of a
Euclidean space E n {\displaystyle \mathbb {E} ^{n}} ; that is, the transformations...
- In mathematics, the Itô
isometry,
named after Kiyoshi Itô, is a
crucial fact
about Itô
stochastic integrals. One of its main
applications is to enable...
- {1}{2}}\left(\|x+y\|^{2}-\|x\|^{2}-\|y\|^{2}\right).} An
isometry of
Euclidean vector spaces is a
linear isomorphism. An
isometry f : E → F {\displaystyle f\colon E\to F}...
- In
linear algebra, the
restricted isometry property (RIP)
characterizes matrices which are
nearly orthonormal, at
least when
operating on sp**** vectors...
- In geometry, a
Euclidean plane isometry is an
isometry of the
Euclidean plane, or more informally, a way of
transforming the
plane that
preserves geometrical...