- {\displaystyle v\in V.}
Linear isometries are distance-preserving maps in the
above sense. They are
global isometries if and only if they are surjective...
-
plane isometries. (Note: the
notations for the
types of
isometries listed below are not
completely standardised.) Reflections, or
mirror isometries, denoted...
- the
remaining n(n − 1)/2 to
rotational symmetry. The
direct isometries (i.e.,
isometries preserving the
handedness of
chiral subsets)
comprise a subgroup...
- geometry)
Isometry group Quasi-
isometry Dade
isometry Euclidean isometry Euclidean plane isometry Itō
isometry Isometric (disambiguation)
Isometries in physics...
- 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...
- 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...
- f^{-1}(y)} .
Since the
identity map is a quasi-
isometry, and the
composition of two quasi-
isometries is a quasi-
isometry, it
follows that the
property of being...
- of the same dimension, and that the
restriction of the
isometry on
these subspaces are
isometries of
these subspaces. If E is a
Euclidean space, its ****ociated...
-
called the
final subspace.
Partial isometries appear in the
polar decomposition. The
concept of
partial isometry can be
defined in
other equivalent ways...
- full
symmetry group with E+(3),
which consists of all
direct isometries, i.e.,
isometries preserving orientation. For a
bounded object, the
proper symmetry...
