Sentence examples for we find a criterion from inspiring English sources

At the end of the paper, we find a criterion for the compactness of the set M = { u f : f ∈ AC ∘ ( I ), ∥ ρ f ′ ∥ p ≤ 1 } in (L_{q}(I)).

For this judgment, we found a criterion is γ="(b−c)/a<0.3.

In [11] (see also Corollary 4.10 in [6]), we found a criterion for the affine homogeneity of some (hence every) hypersurface S π arising from an Artinian Gorenstein algebra A. Namely, S π is affinely homogeneous if and only if the action of the automorphism group of the algebra on the set of all hyperplanes in complementary to Soc(A) is transitive.

Next we find a univalence criterion for the operator J 0, z λ, μ, ν.

Let E and F be Banach spaces and T a bounded linear map from E into F. Using a certain perturbation function ƒ(·, T) we find a useful sufficient criterion that T maps the closed unit ball onto a closed set.

We analyze the performance gains for the parallelized event chain and find a criterion for an optimal degree of parallelization.

In this article, given a level γ > 0, we find a new induced l∞ stability criterion such that the digital filter (1 - 3) with w(r) = 0 is exponentially stable and sup r ≥ 0 z T ( r ) z ( r ) < γ 2 sup r ≥ 0 w T ( r ) w ( r ) (6). under zero-initial conditions for all nonzero w(r).

Formally, we want to find a criteria which allows us to link an ordered configuration of points (i.e., a cage) with contour shapes so that we may use the existing tools to determine shape similarity between different contours, for cages.

As an application of this criteria we find a sufficient condition for a translation invariant factor state on a one-dimensional quantum spin chain to be pure.

In the next theorem, we find a new set of LMI criteria for the generalized H 2 exponential stability of the switched multilayer neural network (3 -(4).

However, the only effect on criterion that we found followed the opposite pattern, i.e. it was for unexpected, not expected stimuli that we found a higher criterion (in combination with increased d׳).