Sentence examples for integral associates from inspiring English sources

In comparison with the chromosome 2 locus that appears to drive variation in cardiac output related to left ventricular function, we also identified a locus on chromosome 6 in which velocity time integral associates with aorta diameter (Figure 2C).

The Lebesgue integral associated with the measure on is called the Lebesgue delta integral.

The area of Marcinkiewicz integral associated with the Schrödinger operator has been under intensive research recently.

The Lebesgue integral associated with the measure μ Δ on T is called the Lebesgue delta integral.

L -δ is also called δ th fractional integral associated with L. This kind of fractional integrals has been investigated by several authors ([9 12]).

The endpoint properties of Riesz transform and the fractional integral associated to L have been obtained by Yang, Yang, and Zhou [4].

As a generalization of the fractional integral associated with L, the operators (V^{beta_{2}} -Delta+V)^{-beta_{1} -Delta+Vbeta _{2}leqbeta_{1}leq1), have been studied by Sugano [9] systematically.

For (0integral associated with L is defined by L^{-beta}f(x)= int^{infty}_{0}e^{-tL}f(x t^{beta-1},dt.

More precisely, the decomposition has the form | f |=f̃+D∗0( f ), where D∗0( f ) is (a variant of ) the density of the area integral associated with f.

This fractional operator has a non-local, free singular kernel and the integral associated to this derivative is the average of the given function and its Riemann-Liouville fractional integral.

The fractional integral associated with L is defined by begin{aligned} mathcal{I}_{beta}^{L} f(x)=L^{-beta/2} f(x)= int_{0}^{infty}e^{-tL}(f) (x) t^{beta/2-1},dt end{aligned} for (0