Sentence examples similar to containing operator from inspiring English sources

Unlike previous researches, we did not introduce the wave vector k but found a BTE solution in a form of an infinite series containing operators v ∇ acting on v E : f=f_{0} + frac{e}{-i omega+Gamma},frac{partial f_{0}}{partial epsilon} left[ 1+frac{mathbf{v},{mathbf{nabla}}}{-i omega+Gamma} right]^{-,1}! mathbf{v},mathbf{E}, (8).

Whenever you call nextToken when the input stream contains operator characters, the scanner returns the longest possible operator string that can be read at that point.

We restrict our attention to the photon sector of the minimal SME22, which only contains operators of renormalizable dimension in flat spacetime.

We consider only lowest-level conditions, that is, conditions that do not contain operators with Boolean arguments [25].

This is an interesting result, since it contains operators that explicitly appear in the definition of spectral compactness (see above).

In addition to the usual Boolean sentence operators of classical logic such as 'and', 'or', 'not', and 'if...then', these languages contain operators intended to represent the modal adverbs 'necessarily' and 'possibly'possibly

Detection of these figures can occur in parallel if we assume that the visual system contains operators sensitive to the local degree of collinearity of contour, as can be implemented with a feedforward connectivity scheme (see Gigus & Malik, 1991, for a definition of these operators; see Kapadia, Ito, Gilbert, & Westheimer, 1995, for neurophysiological evidence).

The purpose of this paper is to consider the asymptotic behavior of the counting function N of eigenvalues for a class of differential operators containing the operator A=− Δ+(|x|2+1)py2, (x,y) ϵRpxR.

Recently there has been a huge interest in the study of various related product-type operators containing composition operators; see, e.g., [22 30] and the references therein.

From the above definitions, we note that the class of demicontractive operators contains important operators such as the directed operators, the quasi-nonexpansive operators and the strictly pseudo-contractive operators with fixed points.

From the above definitions, we note that the class of demicontractive operators contains important operators such as the directed operators, the quasi-nonexpansive operators and the strictly pseudocontractive mappings with fixed points.