Sentence examples for geometry identified from inspiring English sources

The German mathematician Moritz Pasch (1843 1930), in his Vorlesungen über neuere Geometrie (1882; "Lectures on the New Geometry"), identified what was wanting: undefined concepts, axioms about those concepts, and more rigorous logic based on those axioms.

For an equal number of studies per comparison, the star geometry identified treatments as expected with minimal bias.

Stacy suggests sitting in front of the mirror, totally naked, for as long as it takes "to learn to accept and understand the body that you have in terms of geometry". Identify the parts of your body you like and don't like, and why.

In the second part of the paper the most promising collector geometries identified in the first part are analyzed in the case of a transient heat load (vertical sweeping), first at the level of a single spatial period of the collector structure, then at the full-collector level.

By tracking fluid-air interface geometry, we identify bubble geometry and topological changes due to splitting, merging and popping.

In both cases, a particular non-Euclidean geometry was identified such that the correspondingly modified integral notion of surface content based upon this non-Euclidean geometry coincides with the locally defined surface measure O S. This allows a non-Euclidean interpretable extension of Cavalieri's and Torricelli's method of indivisibles, see (Richter [1985], [2009]).

Finally, optimum channel geometry is identified that yields the maximum capture efficiency and separation index.

Considering the positional relationship with the magnetic geometry, the identified direction of the electric field inside the blobs is consistent with the theoretically predicted E × B motion.

Some significant shape difference in radial thickness was detected at ES. Differences of LV 3D surface geometry were identified focally on the basal anterior septum wall.

The feature point matches that are not consistent with the estimated epipolar geometry are identified as false matches and rejected.

In his history of geometry, Eudemus identified Archytas along with Leodamas and Theaetetus as the three most prominent mathematicians of Plato's generation (A6 = Proclus, in Eucl., prol. II 66, 14).