Sentence examples for is regular with from inspiring English sources

Since the n-dimensional locally twisted cube is regular with the common degree n, the number of constructed trees is optimal.

We introduce the notion of weak heat kernel asymptotic expansion (WHKAE) property of a spectral triple and show that the weak heat kernel asymptotic expansion allows one to conclude that the spectral triple is regular with finite simple dimension spectrum.

The deployment is regular, with a 500-m inter-site distance.

Let be a bounded sequence in which is regular with respect to.

Then ({x_{n}}) has a subsequence that is regular with respect to C.

This is regular with what we have learned in previous sections.

The undulations and oscillations may be chaotic and random, or they may be regular, with an identifiable wavelength between adjacent crests and with a definite frequency of oscillation.

But the limitation to flat surfaces only applies, Dr. Lalvani noted, if the hexagons are regular, with equal-length sides and equal angles.

For (n=1) this equivalent to (Omega ) being regular with respect to classical potential theory.

A bounded sequence is said to be regular with respect to if for every subsequence we have (3.5).

However, if (mathcal{G}), (mathcal{H}) are regular with vertex degrees (M_{mathcal{G}}), (M_{mathcal{H}}), respectively, then (mathcal{G},square,mathcal{H}) is also regular, with degree (M_{mathcal{G}}+M_{mathcal{H}}).