Sentence examples for ordinary geometry from inspiring English sources

Existing string theories proceed by quantizing classical theories of basic entities that are extended in one or more dimensions of a space that has 6 or 7 tiny compact dimensions in addition to the three spatial dimensions of ordinary geometry.

For Poincaré, talk about what we might call ordinary geometry, the sense of space that we have prior to advanced instruction, is really about the ability we have to measure things.

The inconsistency Weyl is referring to concerns that fact that ordinary Riemannian geometry is not a genuine infinitesimal geometry because while directions of vectors can be compared only locally, the lengths of vectors can be compared non-locally, that is, globally.

The events of this spacetime are generalizations of the dimensionless points of ordinary spatial geometry.

A geometric point in ordinary spatial geometry is a just a particular spot in the space and has no extension.

Space, in this construction, still has the ordinary Euclidean geometry.

Just as Faraday's field interpretation of electric phenomena may be contrasted with action-at-a-distance interpretations, so Riemann's infinitesimal geometric standpoint may be contrasted with distance-geometry, such as, Euclidean and ordinary non-Euclidean geometry.

The difference between Euclidean and ordinary non-Euclidean geometry "in the large" consists only in the discarding of the axiom of parallelism.

The results illustrated vividly that the smaller droplets can be high-efficiently generated under the operation of low phase ratio (defined as the flow rate ratio of continuous phase to dispersed phase) in contrast to the much bigger droplets in ordinary T-junction geometry under the same conditions.

By requiring the homogeneity postulate underlying the free mobility of ideal rigid bodies, Helmholtz thereby limited his considerations to Euclidean and ordinary non-Euclidean geometries.

Riemann thought that Helmholtz's homogeneity postulate for rigid body motion, and the Euclidean and ordinary non-Euclidean geometries entailed by it, may not hold strictly but only approximately.