Sentence examples for caused by the singularity of from inspiring English sources

While there are a lot of works dealing with necessary and sufficient conditions for integer-order differential equations, the results of fractional differential equations are relatively scarce due to the difficulties caused by the singularity of nonlinearity.

Thirdly, a special cone in a special space is established to overcome the difficulties caused by the singularity.

Compared with our previous work ([32]), the essential difficulty caused by the presence of singularity is how to analyse the asymptotic behavior of certain maximizing sequence near the blow-up point.

The new notion of polarity is designed to deal with the loss of smoothness caused by the presence of singularities that are encountered in many problems in Poisson and symplectic geometry.

Unit quaternions are used as representation of orientation, preventing problems caused by the Euler singularity.

On resonance, the tunneling current sets in and displays a sharp peak (shaded part of Fig. 1c, solid line) due to the Fermi edge singularity caused by the Coulomb interaction of the occupied dot level with the electrons in the emitter lead (there is no relevant interaction with the collector due to the asymmetry of the setup).

An accurate numerical method, which is capable of describing singularities caused by the oscillating plate, is developed on the basis of the method of characteristics and is applied to the two problems mentioned above.

Bouzid and Ellouze [16] used the multiscale product (MP) of the wavelet transform (WT) for detecting singularities in speech signal caused by the opening and the closing of the vocal folds.

This setting can avoid singularities at the atomic positions and the dramatic changes of potential energy caused by the grid in surface proximity.

Yet remarkably, this uncommon technique was found in most paintings studied by this research group, raising questions about possible causes behind the singularity of these results.

True art is distinguishable from the junk of its epoch by the singularity of its vision.