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Levels consist of a single plane, and are viewed isometrically.
For example, when a patient is flexing his or her elbow isometrically against a resistance.
Every incomplete space is isometrically embedded into its completion.
It can not be isometrically embedded into Euclidean 3-space.
From the standpoint of metric space theory, isometrically isomorphic spaces are identical.
The erector muscles contract isometrically to keep the normal curvature of the spine.
Not every finite metric space can be isometrically embedded in a Euclidean space.
Hilbert proved that every isometrically embedded closed surface must have a point of positive curvature.
Furthermore, this space J is isometrically isomorphic to its bidual.
Positions within the range are also trained isometrically, as in flexed-arm and straight-arm hangs for time.
Brain to body size does not scale isometrically (in a linear fashion) but rather allometrically.
The structure is on a sloped and wooded lot, and the idea was to have the design viewed isometrically from the residence.
Isometrically isomorphic normed vector spaces are identical for all practical purposes.
The dual of c is isometrically isomorphic to ℓ.
The player is given direct control over the protagonist Jake and moves him around using the directional pad within the game's isometrically displayed world.
An example is found in frogs - aside from a brief period during the few weeks after metamorphosis, frogs grow isometrically.
From the point of view of inner product space theory, there is no need to distinguish between two spaces which are isometrically isomorphic.
Every normed space X can be isometrically embedded in a Banach space.
Conversely, the skull bones appear to have generally grown isometrically, increasing in size without changing in proportion.
Streets and buildings are rendered isometrically, with walls disappearing to outlines when the player enters a building or walks behind a wall (see images below).
It is one of only four fullerenes found by to have a skeleton that can be isometrically embeddable into an L space.
A general Banach space and its bidual need not even be isometrically isomorphic in any way, contrary to the finite-dimensional situation.
Technically, we say that for any two vertices there exists a symmetry of the polytope mapping the first isometrically onto the second.
All infinite-dimensional separable Hilbert spaces are therefore isometrically isomorphic to "ℓ".
Length is calculated by comparing existing bones to the bones of similar dinosaurs, which are known from more complete skeletons and scaling them up isometrically.