Sentence examples for integral introduced from inspiring English sources

Let T be a product Calderón Zygmund singular integral introduced by Journé.

By tracing motion of LKs along chains using the local Gauss integral introduced in the previous work, it is found that (1) there are many kinds of LKs which have different volumes in the chains according to their complexity but (2) ca. 70 vol% of LKs are the simplest LK2,1 which is composed of two stems and has the Gauss integral equal to ±1.

The relatively less restrictive representation of the fractional derivative according to parameters appears to be the one based on Pochhammer's contour integral introduced by Tremblay [29, 30].

As a tool for modeling nondeterministic problems, fuzzy measures and a fuzzy integral introduced by Sugeno in [1] have been successfully applied to various fields.

The second development was the Lebesgue integral, an alternative to the Riemann integral introduced by Henri Lebesgue in 1904.

As Integral introduces more ad channels, Knoll said it will become more essential because its machine learning algorithms will improve, it can provide "a more holistic picture of what's happening".

These problems naturally emerge as Euler Lagrange equations of some variational integrals introduced and studied by Marcellini [41] and Zhikov [53] in the framework of Homogenisation and Lavrentiev phenomenon.

Inspired by this, we will mainly consider the boundedness of the fractional type Marcinkiewicz integrals introduced in [21] on ((mathcal{X}, d, mu)).

However, it is notable that at higher energies, overlap integrals introduced by third nearest-neighbour interactions result in asymmetry between the conductance in the conduction and valence bands.

For our present study, we recall the generalized hypergeometric fractional integrals, introduced by Marichev [43], including the Saigo operators [37 39], and which were later on extended by Saigo and Maeda [40].

To study the integral global minimization, a general form of deviation integral is introduced and its properties are examined in this work.