Sentence examples for more general geometry from inspiring English sources

This method was originally developed for elliptic contact condition, but can be extended to cover a more general geometry of the contact patch.

To this end, a nonautomated implementation of the basic ideas is first demonstrated for a simple geometry; more automated analyses for a more general geometry follow.

Einstein's theory satisfies this requirement perfectly well, since the Euclidean geometry fundamental to Newtonian physics is indeed contained in the more general geometry (of variable curvature) employed by Einstein as an approximate special case (as the regions considered become infinitely small, for example).

As in the Newtonian case, this is suggestive of a more general geometry.

In order to extend hybrid schemes to more general geometries, we develop here a robust, semi-analytical computational method to compute Green's functions for more general geometries in both 2D and 3D.

But the extrapolation of this simple reasoning to the design of more general geometries and, eventually, more complex microstructures is not a straightforward extension of these simple rationales.

Here we combine the traditional algorithm with a numerical mapping procedure to allow the Green's function to be computed for more general geometries.

All quantities of interest (such as lift and drag on the cylinder) were computed without taking advantage of the cylindrical geometry of the problem, making the algorithm suitable to study more general geometries.

In the opinion of many in the 19th century, Euclidean geometry lost its fundamental status to a geometry that was regarded as more general: projective geometry.

Since, however, the components \(g_{ij}(x)\) of the metric tensor are already sufficiently determined by Einstein's field equations, this would require setting up a more general differential geometry than the one which underlies Einstein's theory, in order to make room for incorporating electromagnetism into spacetime geometry.

However, these disadvantages do not seem to impose serious limitations because the modeling approach presented here can be potentially extended to more general delivery/collection geometries as well as multilayer tissue geometries by following a similar methodology in model development.