Sentence examples for there exists weak from inspiring English sources

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.

where f L and f R are the relaxation oscillation frequencies of the two respective longitudinal modes with f Lthere exists weak (C≈0) or strong (C≈1) mode competition between the two oscillating wavelengths.

The existence of real numbers $r$ for which the intuitionist cannot decide whether they are positive or not shows that certain classically total functions cease to be so in an intuitionistic setting, such as the piecewise constant function There exist weak counterexamples to many classically valid statements.

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.

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

This, however, is not true for all statements for which there exist weak counterexamples.

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.

In other words, $\neg\neg (B \vee \neg B)$ is intuitionistically true, and thus, although there exist weak counterexamples to the principle of the excluded middle, its negation is false in intuitionism, that is, it is intuitionistically refutable.

Estimation results from Table 6 jointly with Fig. 4 show that there exist weak (coefficients of determinations of 16.6 and 20.7 % respectively) linear relationships between LF and ASK for both EM and EF flights.

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]).