Examples of 'isometries' in a sentence
Meaning of "isometries"
isometry (noun) - a mathematical concept referring to a transformation that preserves the distance between points, shapes, or objects; a movement, rotation, or reflection that does not alter the size or shape of the object being transformed
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- plural of isometry
How to use "isometries" in a sentence
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isometries
Partial isometries appear in the polar decomposition.
Isomorphisms between metric spaces are called isometries.
Most isometries are familiar in everyday life.
Point reflection and other involutive isometries.
Thus isometries are an example of a reflection group.
Geometrically interesting are isometries and isometric immersions.
Isometries are always continuous and injective.
The others are the indirect isometries.
They are global isometries if and only if they are surjective.
The translations form a group of isometries.
A set of isometries can form a group.
Every isometry group of a metric space is a subgroup of isometries.
See also the isometries of the regular tetrahedron.
Translations and rotations are direct isometries.
These isometries have a group structure.
See also
This means that reflections are isometries.
The group of isometries of space induces a group action on objects in it.
We are particularly interested in isometries of the plane.
Isometries are in fact one example of affine group action.
Many physical symmetries are isometries and are specified by symmetry groups.
Isometries are necessarily injective.
It is not hard to show that partial isometries are characterised by the equation.
All isometries are injective.
The proof is easy if one assumes the classification of plane isometries.
Prove that the group of isometries is a subgroup of the group of similarities.
Euclidean plane isometries.
Isometries in physics.
Contractions similar to isometries.
In particular isometries of surfaces preserve Gaussian curvature.
This observation is at the heart of the construction of many unitary dilations of isometries.
We explain how systems of partial isometries can be used to study this lamination.
All isometries within this model are therefore Möbius transformations.
Group of isometries.
Symmetries of a Euclidean space are transformations which preserve the Euclidean metric called isometries.
The wallpaper group of a pattern is invariant under isometries and uniform scaling similarity transformations.
The Poincaré group is the group of Minkowski spacetime isometries.
The group of direct isometries of the Euclidean plane is metabelian.
Here, a geometric action is a cocompact, properly discontinuous action by isometries.
Euclidean isometries are translations, rotations and reflections.
It is the group of orientation-preserving isometries of the hyperbolic plane.
Linear isometries between inner-product spaces.
Working according to technical drawings, isometries and system diagrams.
Linear isometries are distance-preserving maps in the above sense.
The formal definition does not use isometries, but almost isometries.
These isometries consist of reflections, rotations, translations and combinations of these basic operations.
This includes both the orientation preserving and the orientation-reversing isometries.
These isometries consist of reflections, rotations, translations and any combination of these basic geometric operations.
Non-countable groups, where for all points the set of images under the isometries is closed.
All isometries of a bounded 3D object have one or more common fixed points.
The first chapter contains generalities about hyperbolic spaces, their products and their isometries groups.
