Sentence examples for an explicit relation from inspiring English sources

Similarly, Bhrawy et al. [16] derived an explicit relation which relates the fractional-order derivatives of Legendre polynomials to its series representation, and they used it to solve some scientific problems.

A third relation, termed the equation of state, expresses an explicit relation between the temperature, density, and pressure of a star's internal matter.

Recently Bellucci introduced an explicit relation for normalized Bernstein polynomials [51].

Variation of the energy with respect to the nanotube radius yields an explicit relation between the radius and the length.

This allows us to establish an explicit relation between the diversity (d k)) and the cumulative of the rank distribution, (S t)).

In this paper an explicit relation is developed for inert gas extinguishing concentration in terms of heat capacity and fuel properties.

A new explicit relation is proposed for the prediction of the enhancement factor for reversible reactions of finite rate in chemically loaded solutions which also allows for unequal diffusivities.

The parser determines that a ASYNCHRONOUS explicit relation triggered by thereafter exists between the two sentences, which in turn suggests that the two events are likely to have an asynchronous temporal relation such as Before or After.

The evaluation returns an explicit output relation complemented with an often implicit statement about the completeness of that relation.

The Daehee numbers are related to factorial numbers, this explicit relation is given by D_{n}= -1)^{n}frac{n!}{n+1} (cf. [19], p.45, [7, 24, 25]).

In this work, an approximation depends on a specific set of concepts to determine the indiscernibility of the individuals (and not anymore an explicit indiscernibility relation).