Sentence examples for integral refers from inspiring English sources

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.

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].

(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}).

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

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.

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

The discrete-integral version refers to the connection of the interval barycenter with interval endpoints.

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

For background material of Hadamard fractional derivative and integral, we refer to [3, 15 19].

For background material of the Hadamard fractional derivative and integral, we refer to [2], [16] [22].