Sentence examples for dependent limits from inspiring English sources

Corrections are derived for constant and time dependent limits of integration the latter is used to approximate dissipation rates in advective diffusive systems.

The theorem on the Gronwall's type integral inequalities with two dependent limits is established.

The present study involves some Gronwall's type integral inequalities with two dependent limits.

In paper [9] the following useful inequality with two dependent limits was established.

Section 2 includes some new integral inequalities with two dependent limits and relevant proofs.

The theory of integral inequalities with several dependent limits and its applications to differential equations has been investigated in [10 14].

Vivekanandan and Fixen [64] have reported that large-scale manure applications to a silty clay loam results in a linear increase in available P (Bray P1), up to a (presumably) soil dependent limit.

LFP fluctuations largely reflect the temporal and spatial summation of presynaptic neuronal activity (Goldberg et al., 2004; Magill et al., 2004; Mitzdorf, 1985) and therefore LFP amplitude or power indexes the strength of synchronisation, the density and (up to an electrode dependent limit) the spatial extent of the involved neural pool.

For a path specified by a polynomial parametric curve, the time-optimal feedrate is determined as a piecewise-analytic function of the curve parameter, with segments that correspond to saturation of the acceleration along one axis under constant or speed-dependent limits.

Instead, it allows that, at various stages, both selective and elaborative processes can operate on the materials of memory, within context-dependent limits (Bernecker 2008, 2010; Michaelian 2010).

Second, in the algorithm, a 'normal PSA test result' was classified as ≤4.0 ng/ml even though it has been recommended to use age-dependent limits.