Sentence examples for isometric from inspiring English sources
'isometric' is a correct and usable word in written English
It is an adjective that describes something that is "having equal dimensions, proportions, or qualities" (Oxford Dictionary). For example, "I like the isometric design of this house."
noun
A line connecting isometric points.
Or a love affair his heart?The numerology, conspiracies and supernatural beings arrived in John Nash's mind with the same sparkling clarity as his insights into the isometric embeddability of abstract Riemannian manifolds in Euclidean spaces.
Domeykite crystallizes in the isometric system.
2.26 7 high tridymite orthorhombic 2.20 at 200 degrees Celsius 7? low cristobalite tetragonal 2.32 6–7 high cristobalite isometric 2.20 at 500 degrees Celsius 6 7 keatite tetragonal 2.50 ?
His geometrization conjecture says that every three-dimensional manifold is locally isometric to just one of a family of eight distinct types.
As a result of the triangular shape of the CO3 groups, the structure is rhombohedral instead of isometric as in NaCl.
The spinels, comprising some 21 species (including the well-known gemstone balas ruby), are cubic (isometric) and commonly occur as octahedrons (Figure 41).
Cobaltite, like its relatives gersdorffite and ullmannite, crystallizes in the isometric system and is closely related to pyrite.
If it is not isometric, there may be different expansion coefficients for different crystallographic directions, and the crystal will change shape as the temperature changes.
Moreover, it is easy to show that the Cayley graph of a generated group with word metric is quasi-isometric to a geodesic space.[1] A triangle with vertices \(x\), \ y\), \ z\) in this space is the union of three geodesic segments, between \(x\) and \ y\), between \ y\) and \ z\), and between \ z\) and \(x\).
This means that properties of a generated group which are quasi-isometric invariants will be independent of the choice of generating set, and therefore informative about the group itself.
For example, \((\mathbb{Z}, d)\) is quasi-isometric to \((\mathbb{R}, d)\) where \(d x, y) = |y - x|\), because the inclusion map \(\iota\) from \(\mathbb{Z}\) to \(\mathbb{R}\), \(\iota(n) = n\), is an isometry hence a quasi-isometry with \(L = 1\) and \(K = 0\), and each point in \(\mathbb{R}\) is no further than \(1/2\) away from an integer (in \(\mathbb{R}\)).
