Sentence examples for concerning the coefficients from inspiring English sources

Concerning the coefficients and, (H3) (i).

All the results are obtained without any restriction concerning the coefficients, being applicable for any system of variational difference equations.

By Lemma 2.1 and our assumption concerning the coefficients a λ, we obtain m ( r, a j ˜ ) = S ( r, f ), j = 0, 1, …, d ( P ).

For simplicity and without loss of generality we can consider the zero initial function x xi =0, quad text{for } xi < 0. (1.2) Concerning the coefficients, delays, and function f we assume that f, (a_{i}), (b_{i}), φ, (tau_{i}), (theta_{i}) ((i=1,ldots,m)) are measurable essentially bounded functions ([0,+infty)rightarrow (-infty,+ infty)), and (tau_{i}(t geq 0), (theta_{i}(t geq 0) for (tgeq 0).

The following result concerning the coefficient of variation connected with the FL model plays an important role in investigating the existence and uniqueness of moment estimators of μ and σ (see Section 3) and can be a useful aid in FL model validation.

One possible explanation concerns the coefficient of relationship (the number of genes on the average shared in common) among the individuals of a colony.

(26) Concerning the leading coefficients, assume that (mathrm{h}_{1} quad left { textstylebegin{array}l} a_{ij}=a_{ji}in L^{infty} varOmega ), quad i,j=1,ldots, n, operatorname {ess,inf}_{varOmega } (sum_{i=1}^{n} a_{ii} )^{2} (sum_{i,j=1}^{n} a_{ij}^{2} )^{-1}>n-1 (typeit{condition}end{array}displaystyley}displaystyle right.

A striking result of the current study is the absence of main or interaction effects concerning the habituation coefficient which is in opposition to other studies that found the habituation coefficient to be influenced by prophylactic treatment [11 13].

There are interesting results in the literature concerning the Seebeck coefficient of Si nanowires and nanocrystals.

The design of the optimal airfoil is performed and finally, numerical computations concerning the drag coefficient and other geometrical and aerodynamical parameters are carried out.

The aspired number of participants could not be reached which is supposed to have contributed to the unexpected results concerning the habituation coefficient.