Sentence examples for arbitrary weak from inspiring English sources

Exact(3)

At the same time it is unknown whether this inequality holds for an arbitrary weak solution to BVP (1.1 - 1.2 1.1 - 1.2

Since x ∗ was taken as an arbitrary weak accumulation point of { x k } k = 0 ∞, it follows that x ¯ is the unique weak accumulation point of this sequence.

We calculate such an expansion for an arbitrary weak first-order method; this allows us to use extrapolation in order to obtain higher-order solutions.

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We provide analysis and design results for multi-agent networks in arbitrary dimensions under weak requirements on the switching and failing communication topology.

Our duality results extend the results in Mishra et al. [16] to the cone constraints over arbitrary cones with weak efficiency.

We counted the clones with arbitrary strong or weak accumulation of Ci.

In this paper, we formulate a pair of symmetric higher-order Wolfe type nondifferentiable multiobjective programs over arbitrary cones and prove weak, strong and converse duality theorems under higher-order-K ( F, α, ρ, d ) -convexity assumptions.

Moreover, analytical techniques can be used to reduce general oscillator models of arbitrary dimension, subject to weak inputs of a prescribed time course, down to forced scalar phase equations [24].

Discrimination errors at this stage are inevitable if the difference in sensory evidence between signal and noise (or other arbitrary category discriminations) is weak, leading to overlapping probability distributions (Fig. 1a).

The intensity for no fluorescence was evaluated in the range between 0 and 5 arbitrary units (AU), a weak fluorescence between 6 and 24, and strong fluorescence between 25 and 60.

IFN-γ and IL-13 responses to both PHA and KMTB were weakly correlated and the same responses for PPD and STCF were just below our arbitrary cut off for reporting weak correlation at ρ = 0.226, p = 0.005 and ρ = 0.285, p = 0.003 respectively.

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