Sentence examples for bounds of certain from inspiring English sources

In Britain, the advertising industry self-regulates, within the bounds of certain national and international laws that limit the products and techniques that it is allowed to employ.

We highlight these two kinases for the additional reason that they demonstrate structural variation within the bounds of certain functional constraints.

We refer to expressions like (Theta ) or (Xi ) as "curvature terms" simply for convenient shorthand; by "uniformly finite" we mean the integrals are bounded independently of certain parameters built into the functions (eta ) and/or (kappa ).

Several cell-based assays have also been designed using effector-binding domains that bind to the GTP-bound form of certain GTPase.

Remark 2 Neuman [9] has derived some bounds for certain differences of bivariate means, one of which is as follows: min ( x, y ) 24 ln 2 ( x / y ) < L − G < max ( x, y ) 24 ln 2 ( x / y ).

While (4.1) and (4.2) contain some new bounds for certain ratios of bivariate means, for example, (4.4).

These estimates are obtained by means of a novel iterative homogenization strategy recently proposed by Ponte Castañeda (2012), and can be shown to be bounds for certain classes of multi-scale microstructures.

Then, it holds

Some new bounds for solutions of certain dynamic equations on time scales will be derived in the following examples.

The inequality above appears to be useful in deriving bounds of solutions of certain integral equations, but it is inadequate to deal with boundedness for solutions of both integral equations for discontinuous functions and delay integral equations.

As these inequalities can be used in deriving bounds for solutions of certain dynamic equations in two independent variables, which are shown in Section 4, while inequalities with a single variable can only be used to the boundedness analysis for solutions of certain dynamic equations in a single variable.