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Words related to isometry

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

equality of elevation above sea level

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equality of measure (e

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References in periodicals archive ?
The solution (21) consist of eleven Noether symmetries in which ten are the isometries of the spacetime given in equation (20) which there are 11 conservation laws corresponding to different Noether symmetries.
In [9] Mankiewiz considered the extension problem of isometries whose domains are subsets of normed spaces and proved that every surjective isometry between open connected subsets of normed spaces can be extended to a surjective affine isometry between normed spaces.
In order to see that these examples do actually have the claimed symmetry groups, it is instructive to consider how certain isometries act on the symbolic sequence i.
The rule for specifying these isometries is simple but important; without this rule it would not be possible to iterate [phi].
This space-time has a five dimensional group of isometries which is transitive.
For a better overview, the reference and the ability to create the update we decided to scan these isometries.
Following the decimation, we may consider all eight possible isometries that map one block to another, i.
The Lorentz group is the group of all isometries of Minkovski spacetime.
They look at complex hyperbolic lattices, rank-one isometries of proper CAT(0)-spaces, trace polynomials for simple loops on the twice punctured torus, the simplicial volume of products and fiber bundles, the homology of Hantzsche-Wendt groups, Seifert fibered structure and rigidity on real Bott towers, exotic circles in groups of piecewise smooth circle homeo-morphisms, and groups generated by spine reflections admitting crooked fundamental domains.
Some special types of transformations are called isometries or rigid motions because they are transformations that preserve distances.
In contrast, temporal clusters of isometries (complexes) are observed in physiological (Figure 4, left), meteorological and economic series, mathematical bios and coloured noise.
These three isometries form the commutative diagram in Figure 3.
Next, they had to describe their chosen pattern in terms of the geometry and the isometries, or movements in the plane.