Geometries in a sentence

Non-Euclidean geometries Gauss also claimed to have discovered the possibility of non-Euclidean geometries but never published it.

This gave a conjectural picture of 3-manifolds which indicated that all 3-manifolds admitted a certain kind of geometric decomposition involving eight geometries, now called Thurston model geometries.

In her hands it was a given that this class of dishes, so full of geometries and colors and so urgent in flavor, commanded center stage at lunch or dinner.

This is what leads you to the cubes, or the Paracausal Geometries, that you need to destroy in order to get the achievement.

The ARL initiatives include the development of lighter weight metal alloys, the use of titanium as an alternative and new geometries for metal casings designed to surround explosive materials.

In lieu of that, you average instead over all possible spacetime geometries.

They assembled individual scale units on either flat or curved substrates, where the scales' sizes, orientations, and geometries can also be varied, and used 3-D printing to fabricate the bio-inspired scale armor models.

As is expected, tetracoordinate platinum(II) compounds tend to adopt 16-electron square planar geometries.

Carnap, R. An introduction to the Philosophy of Science Experimental tests of general relativity have confirmed that non-Euclidean geometries provide a better model for the shape of space.

Conformal mappings are invaluable for solving problems in engineering and physics that can be expressed in terms of functions of a complex variable but that exhibit inconvenient geometries.

Coordination complexes In inorganic coordination complexes with octahedral or square planar geometries, there are also cis isomers in which similar ligands are closer together and trans isomers in which they are further apart.

Different mathematical models use different geometries that are not necessarily accurate descriptions of the geometry of the universe.

Felix Klein argued in his Erlangen program that one can consider various "geometries" by specifying an appropriate transformation group that leaves certain geometric properties invariant.

Fixtures that secure the tool in place at certain angles and geometries are also available to take the guesswork from sharpening to produce accurate points.

For the cutting of complex geometries, there are also flexible versions of the linear shaped charge, these with a lead or high-density foam sheathing and a ductile/flexible lining material, which also is often lead.

Gauss and Poincaré Carl Friedrich Gauss Henri Poincaré Although there was a prevailing Kantian consensus at the time, once non-Euclidean geometries had been formalised, some began to wonder whether or not physical space is curved.

Geometries Primary data sets for structural geology are collected in the field.

However, except for simple geometries these equations are notoriously difficult to solve. citation Fortunately, simpler explanations can be described.

Ice molecules can exhibit up to sixteen different phases ( packing geometries ) that depend on temperature and pressure.

In essence their propositions concerning the properties of quadrangles which they considered assuming that some of the angles of these figures were acute of obtuse, embodied the first few theorems of the hyperbolic and the elliptic geometries.