Sentence examples for geometric concerns from inspiring English sources

To detect any potential for autocorrelation among variables due to purely geometric concerns, we explored how mean intercusp distance and square root tooth area each separately relate to Carabelli development.

This approach requires only an algebraic procedure, without any geometric concern about the domain of integration, such as the null-flux patches C i.

Some geometric relations concerning crystal twinning can be set down.

Special choices of φ ( 1 − t ) and C led to various interesting geometric properties concerning certain linear operators.

Crucially, that question can be reformulated in terms of Dedekind's idea of "cuts" defined directly on the rational numbers, so that any geometric intuition concerning continuity can be put aside.

The leading idea of the arithmetizers was that the concepts and first principles of arithmetic and analysis are to be found in the concepts of the understanding (as a Kantian might put it), independently of one's geometric intuitions concerning any spatial or temporal continua.

The second wave concerns geometric proofs by Enss [138], Simon [583], Agmon [5], Gårding [182] and Sigal [554].

The objective of this study was to correlate the mechanical failure with the geometric and microstructural concerns.

In the literature, there are many papers concerning geometric properties of various Banach sequence spaces.

For 0.999... one can apply the convergence theorem concerning geometric series: If |r| < 1 \,\! then ar+ar^2+ar^3+\cdots = \frac{ar}{1-r}.

All mathematical point, which are made, seem to be correct, with a particular emphasis concerning geometric arguments about spheres inscribed in a regular tetrahedron and over-dimensionality of the Z-curve.