Sentence examples for we provide a criterion from inspiring English sources

We provide a criterion for imposing appropriate boundary conditions for general KdV-type equations.

We provide a criterion to predict either the onset of gas bubbles or the suppression of bubbles.

We provide a criterion for Gθ-integrability of matrix coefficients of representations of G in terms of their exponents along θ-stable parabolic subgroups.

We provide a complete description of all q-pure E0-semigroups of type II0 arising from boundary weight maps with range rank one, and we provide a criterion to determine if two such boundary weight maps give rise to cocycle conjugate q-pure E0-semigroups when dimK<∞.

In doing so, we provide a criterion for assessment that is unambiguous and in line with many comparable studies [e.g., Alexander and Lange, 2011; Basu et al., 2011; Basu and Pan, 2011; Chun et al., 2011].

At each sampling step, we provided a criterion to determine the optimal sampling point, which maximizes the value of the product of curvature and square of minimum distance to other design sites.

In this paper, we provide a new criterion on the existence and uniqueness of stationary distribution for diffusion processes.

We provide a sharp criterion in term of generalized principal eigenvalues for existence/nonexistence of positive solution of (Pβ) in suitable classes of functions.

In particular, a new intelligent decomposition (ID) algorithm is developed, where we provide a stopping criterion for the FWT algorithm based on environmental parameters and pre-defined thresholds.

By analyzing the resonating nature of the content within the community, we provide a threshold criterion that successfully predicts the long term persistence of social trends.

We provide a new criterion for a generating subset Q of a group G to be a Kazhdan set; it relies on the existence of a positive number ε such that every unitary representation of G with a (Q,ε -invariant vector has a finite dimensional subrepresentation.