Sentence examples for integral referred from inspiring English sources

In 1990, a new version of Meijer-type integral, referred to as an ({M}_{alpha,beta} -integral, has been investigated and its inversion formula was duly achieved by [10].

Moreover, although the so-called hypsometric integral refers to the basin scale, most indices are generally derived from the river long profiles and thus focus mainly on the short-term response of a drainage network to base level change, providing limited information in regions of older and/or moderate uplift.

(To get extra insights as regards the Bochner integral, refer to the treatise of Yosida [46].) Permit (L^{1}(mathscr{I},mathbb{X})) signifies the Banach space of all measurable functions (x:mathscr{I}rightarrowmathbb{X}) which are Bochner integrable and have the norm Vert xVert _{L^{1}}= int_{0}^{T} biglVert x t bigrVert,dtquad text{for all } xin L^{1}(mathscr{I},mathbb{X}).

The subscripts L3 and L2 in the integrals refer to the energy integration within each Mn L peak.

While the correlation integrals refer to the given initial density function and, hence, can be a priori computed, the convolution integrals involve the boundary density function and have to be integrated a posteriori online.

Partial integrity refers to the fact that only anterior or posterior circulation is integral.

In this case, the splitting of the energy levels can be defined by an overlap integral (often referred to as β) between adjacent centers.

The non-characteristic harmonics may be non-integral and referred to inter-harmonics [7, 8].

There are several different definitions for derivatives and integrals (together referred to as differintegrals) in the fractional sense, which are classified in different categories.

For related results concerning the diamond-α integral, please refer to [9 16] and the references therein.

The integral version refers to the given interval and its subinterval sharing the common barycenter.