Sentence examples for metric geometry from inspiring English sources

Knowledge of descriptive geometry and metric geometry.

Poincaré argues that (metric) geometry is the hypothesis most prone to such confusion.

Poincaré argues that (metric) geometry is neither a priori nor empirical, but rather conventional.

These examples would prove useful to illustrate the relationship between metric geometry and the spatial relations between objects of perception.

Weyl wanted a metric geometry which would not permit distance comparison of length between two vectors located at finitely different points.

For instance, Schlick (1917/1920) argued that general relativity treats all coordinate systems as equally admissible, and hence that we must arbitrarily choose a coordinate system, thereby conventionally fixing our metric geometry.

This idea can be nicely combined with Klein's classification of metric geometries.

The old notion of a 'geodesic path' had its inception in the context of classical metrical geometry and 'geodesicity' was characterized in terms of extremal paths of curves, which presupposed a metric.

Therefore, all that is intrinsic to the notion of a pure infinitesimal metric differential geometry is the ability to determine the ratios of the lengths of any two vectors and the angle between any two vectors, at a point.

With laser scanning, while the metric and geometry of the captured objects can be derived and therefore are known, and an accuracy measure for any point in the point cloud can be derived, the texturing and visualisation will be poor due to the quality of the on-board imaging sensor.

A newly defined power production/loss geometry metric is introduced based on surface curvature and plate velocity.