Sentence examples for important operator in from inspiring English sources

Since crossover is the most important operator in GAs, various crossover operators have been proposed for the usual TSP [22].

Note that the Laplace-Bessel differential operator Δ B is known as an important operator in analysis and its applications.

Mutation is an important operator in genetic algorithm to generate new genes by flipping one or more gene values randomly in a chromosome.

Multilinear fractional integral I Ω, α Θ can be looked at as a natural generalization of the classical fractional integral, which has a very profound background of partial differential equations and is a very important operator in Harmonic analysis.

Singular integrals are associated with the Δ B n Laplace-Bessel differential operator, which is known as an important operator in analysis and its applications; these have been the research areas of many mathematicians such as Muckenhoupt and Stein [1, 2], Kipriyanov and Klyuchantsev [3, 4], Aliev and Gadjiev [5], Guliev [6], Gadjiev.

It is a classical mean operator, and it is frequently used to majorize other important operators in harmonic analysis.

As one of the most important operators in harmonic analysis and its applications, the Riesz potential operator defined by.

Fractional maximal and fractional integral operators are two important operators in harmonic analysis and partial differential equations.

Conditions of these theorems are satisfied by many important operators in analysis, in particular pseudo-differential operators, Littlewood-Paley operators, Marcinkiewicz operators, and Bochner-Riesz operators.

The homotopy operator T, the exterior derivative operator d, and the projection operator H are three important operators in differential forms; for the first two operators play critical roles in the general decomposition of differential forms [15] while the latter in the Hodge decomposition [16].

Meanwhile, in [25,32] the relationship between the Ihara zeta function and the positive support (U + of the Grover matrix of a graph is discussed: a matrix (U + derived from QW is essentially the same as the edge-matrix in [3,17] and the Perron-Frobenius operator in [26], both of which are important operators in characterizing that function.