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isometry::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | single-valued function, function, map, mapping, mathematical function |
| Derivation | isometric |
isometry::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | elevation |
| Derivation | isometric |
isometry::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | equality |
| Derivation | isometric, isometrical |
isometry::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | rate of growth, growth rate |
Examples of isometry
isometry
In mathematics, an isometry is a distance-preserving map between metric spaces.
From the en.wikipedia.org
Any reflection, translation and rotation is a global isometry on Euclidean spaces.
From the en.wikipedia.org
They are called isometric if there exists a bijective isometry between them.
From the en.wikipedia.org
If it were, then it would be a local isometry and would preserve Gaussian curvature.
From the en.wikipedia.org
In a sense, there is therefore only one Apollonian gasket, up to isometry.
From the en.wikipedia.org
It associates a partially defined isometry to any symmetric densely-defined operator.
From the en.wikipedia.org
Geometric figures which can be related by an isometry are called congruent.
From the en.wikipedia.org
A partially defined isometric operator with closed domain is called a partial isometry.
From the en.wikipedia.org
A distance-preserving diffeomorphism between Riemannian manifolds is called an isometry.
From the en.wikipedia.org
- The growth rates in different parts of a growing organism are the same
- A one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points; "the isometries of the cube"
- Equality of elevation above sea level
- (isometric) related by an isometry
- Isometric line: a line connecting isometric points
- (isometric) of or involving muscular contraction in which tension increases while length remains constant
- In the study of Riemannian geometry in mathematics, a local isometry from one (pseudo)Riemannian manifold to another is a map which pulls back the metric tensor on the second manifold to the metric tensor on the first. ...
- (Isometer) Isometre is a music theory term describing the use of pulse without regular meter. See also: homorhythm. The music is nowadays only used in the psalmsongs of the Orthodox Reformed Churches in the Netherlands, based on the rhythm made by Petrus Datheen (16th century).
- (Isometric) where the rhythm in each part exactly matches that of others
