Sentence examples for exists weaker from inspiring English sources

If the correlation coefficient is close to 1, and entropy will have a smaller value, there exists strong correlation; if the correlation coefficient is close to 0, and entropy will have a high value, there exists weaker correlation.

From analysis, we find that there exists weak anomalous transport in the approximately homogeneous porous media.

The magnetic properties of 1 reveal that there exists weak antiferromagnetic coupling between the Mn II) ions.

It exists weak C H⋯π interactions between C sp2)–H and CPh or CPz (centroid of the phenyl ring or pyrazinyl).

Secondly, an inverse U-shaped relation (with the maximum reached at the value of (alpha =1 /3)) between transaction costs and unions' bargaining power exists: weak and strong unions are better off with independent plant level negotiations.

where f L and f R are the relaxation oscillation frequencies of the two respective longitudinal modes with f L<f R. The value of C lamb indicates whether there <span class="lh">exists weak (C≈0) or strong (C≈1) mode competition between the two oscillating wavelengths.

It is natural to ask if there do or do not exist weaker contractive conditions that ensure the existence and uniqueness of a fixed point but do not imply the continuity of mappings.

It was then natural to ask if there exist weaker contractive conditions which do not imply the continuity of T. In 1968, this question was answered in confirmation by Kannan [20], who extended Theorem 1.1 to mappings that need not be continuous on X (but are continuous at their fixed point, see [21]).

Magnetic measurements show that there exist weak ferromagnetic interactions in 2.

There also exist weak hydrogen bonds of the CH⋯N tetrazol) between such 1-D chains and the 3-D net, and between adjacent chains, respectively.

The variable-temperature magnetic susceptibility of 1 showed that there existed weak antiferromagnetic interaction in 1. Toward the reduction of hydrogen peroxide, 1 has good electrocatalytic activity and remarkable stability.