Sentence examples for arbitrary coefficient from inspiring English sources

In this paper, we present a direct method to solve the least-squares Hermitian problem of the complex matrix equation ((AXB,CXD =(E,F)) with complex arbitrary coefficient matrices A, B, C, D and the right-hand side E, F. This method determines the least-squares Hermitian solution with the minimum norm.

In the SWT transformed domain, for an arbitrary coefficient considered as child, X1, three parents named X2 N), X2 SS), and X2 NC) can be considered where X2(N) refers to the neighbor subband at the same level, X2 SS) is a subband at the same orientation but at the next coarser level, and X2 NC) denotes all the subbands that belong to the next coarser level.

Let (( X,sigma_{b} )) be a complete b-metric-like space with parameter (s ge 1), and let (f:X to X) be a self-mapping such that, for all (x,y in X) and any arbitrary coefficient (p ge 1), qs^{p}sigma_{b} ( fx,fy ) le kmax biggl{ sigma_{b} ( x,y ),sigma_{b} ( x,fx ),sigma_{b} ( y,fy ),frac{sigma_{b} ( x,fy ) + sigma_{b} ( y,fx )}{4s} biggr}, where (k in (0,1)).

A 'fiber-year' exposure metric was calculated for each subject, assigning to each person an arbitrary coefficient of 'inhalated fibers (ff)' indicating the occupational hazard.

Each parameter was constrained to be ≥ 0. Because group 10 contains only phases that are present in relatively low levels, an arbitrary coefficient of 0.5 was assumed for this group, and the coefficient was not treated as a fitting parameter.

where C 1>0 and C 2≥0 are some arbitrary coefficients such that C

In this study, we extend the current classification to the arbitrary coefficients.

Quite surprisingly, all of the results presented here were obtained without any fine tuning of the two arbitrary coefficients that enter the definition of the scheme.

The capacity of backhaul links is given by: Cleft(lambdaright) triangleq frac{C_{1}}{lambda} + C_{2}, (8) where C 1>0 and C 2≥0 are some arbitrary coefficients such that C

The stationarity of the natural frequencies with respect to the arbitrary coefficients in the linear combination of the assumed deflection shapes, and also at the natural modes is investigated.

It is concluded that the natural frequencies are stationary and need not always be minimum, with respect to the arbitrary coefficients; however, they are minimum with respect to the natural modes.