Sentence examples for concerning the geometry from inspiring English sources

So, in the wake of his 80th birthday celebrations, perhaps we can expect new mathematical problems concerning the geometry of torn wrapping paper, the variability of birthday cake crumb size and the maximally efficient arrangement of cards on a finite horizontal surface.

The model boundary layer non-linear partial differential equations transform to ODEs by means of proper transformations concerning the geometry of the problem under consideration.

More detailed indications concerning the geometry of the inclusion complex can be derived from the evidence of spatial proximities between protons of β-CD and FLZ.

A series of factors concerning the geometry of the lattice were tested in order to analyze the efficiency, performance and optimize the properties of the optical sensor.

The integral method was selected above the curl-B solution, because the requirements concerning the geometry of the four measurement points needed for the calculation of the current density is less stringent.

Secondly, URDME facilitates the development of new computational methods by taking care of the technical details concerning the geometry, the mesh generation, and the assembly of local rate constants.

Some of his notable early work concerned the geometry of high-dimensional convex shapes, such as how to find slices of the shape that are especially large or round.

Compared to conventional optics manufacturing methods, this process chain benefits from its high flexibility concerning the optics geometry and its processing speed, which is independent from the processed geometry.

From this comprehensive theory, we not only derive a general beam model but also several reduced formulations, which deliver accurate solutions for special problem classes concerning the beam geometry and the external loads.

In various iteration steps, the influence of fabrication tolerances especially concerning the nozzle geometry was isolated and print head designs were optimized based on CFD towards maximum process stability.

It is found that the only information required for accurate crack identification is the variation of the first two natural frequencies due to the crack, with no other information needed concerning the beam geometry or material and the crack depth or shape.