Sentence examples for at a given problem from inspiring English sources

We also find a rich, regular pattern, in which phase transitions for longer implicates or prime implicates are less steep at a given problem size and all the phase transitions sharpen with increasing problem size.

Pondering can be understood by looking at a given problem from different points of view, which in turn expands questioning.

Probability of success at a given problem was given by a sigmoid function of the distance between the problem's location and the subject's "knowledge threshold", a set of three coordinates which specified the location in knowledge space of the corner of the subject's rectangular zone of high knowledge.

Note that these analyses are easily generalized for a given problem at hand by first estimating the response kernel of a given neuron under a given stimulus, and then simulating data with this response kernel and stimulus, varying parameters of the two models.

Papers in scientific journals are written by scientists working practically on a given problem and are aimed at other scientists.

Thus there exists at least one solution for the given problem in S by Theorem 3.4.

In consequence, there exists at least one solution for the given problem in S by Corollary 3.1.

In each case, analyses were conducted in the subsample of participants who reported the given problem behavior at the first assessment (Time 2 for excessive eating and Time 1 for all other problem behaviors).

For any τ, T ∈ ℝ, T > τ and u τ ∈ L2 given, problem (1.1) has at least one weak solution u on (τ, T).

74 7446-7454, 2011) Furthermore, we determine two intervals of λ's precisely such that the first is where the given problem admits only the trivial solution, and the second is where the given problem has at least two nontrivial solutions as considering the positive principal eigenvalue for the (p(x -Laplacian Neumann problems and an estimate of the Sobolev trace embedding's constant.

By providing a very open problem space we aimed at ecological validity, as the given problems were designed like real-life scenarios without clear instructions.