Sentence examples for singular conditions from inspiring English sources

The richness of the dynamics near those singular conditions is so varied that considerable work has been done to synthesize that particular behaviour in a general classification in the unfolding of the bifurcations.

By means of the mixed monotone operator theorem, the existence and uniqueness of positive solution are obtained under the singular conditions.

The negative condition says that the agent's willing of a certain action was not completely determined by the nomic and singular conditions which existed at the time of willing.

This is cashed out in terms of two characteristics: (1) the abstract (e.g., "subject," "object," "State," the "whole," and so on) does not explain, but must itself be explained; and (2) the aim of philosophy is not to rediscover the eternal or the universal, but to find the singular conditions under which something new is produced.

In these singular conditions, with a range largely inferior to the typical heights of ionized layers, the elevation of incident waves at the receive end is close to 90°: this scheme corresponds to the so-called near-vertical-incidence skywave (NVIS) conditions.

Several studies have looked at tolerance or growth sensitivity to singular conditions related to high sugar fermentation, including high osmolarity (specifically sucrose [ 3] and glucose [ 4]), anaerobic growth [ 5], oxidative stress [ 6], tolerance to high pressure and low temperatures [ 7], ethanol [ 8– 10] and acetic acid [ 11].

Therefore, the singular condition equation of the input parameters and the singular loci of the input parameters in the basic configuration spaces are obtained.

Finally, the singular condition is proved to be equivalent to that when the univariate-form input output equation has a repeated root in the real number field.

I used to think this was a singular condition but, after years of observation, I have noticed many other dads curled snugly into the pillows in the reading nook of the sprawling kids' museum in Toronto, tucked into the far side of the Mohican Teepee in Lynchburg, or dozing under the princess costumes at the Children's Theatre in Richmond.

Another important method for examining the asymptotic of the eigenvalues in singular condition was suggested by Fedoryuk [8].

From repulsive singular condition (H7) we know that there exists a constant (M_{5}>0) such that x_{1}(t geq M_{5},quadforall tin[ tau,T].