Sentence examples for bounds on the sizes from inspiring English sources

By simply counting the number of leaves of each color below x, one can get upper bounds on the sizes of the corresponding subcolorings and only evaluate those that have the potential to be worth exploring.

We develop general direct and recursive constructions and upper bounds on the sizes of packing arrays.

In this work a tabu search heuristic is used to construct covering arrays that improve on the previously known upper bounds on the sizes of optimal covering arrays.

Moreover, we derive bounds on the size of a generalized packing design and construct optimal generalized packings in certain cases.

We will present some results in this paper that give upper bounds on the size of under various conditions.

This paper gives quantitative bounds on the size of the finite orthonormal sequences in Shapiro's uncertainty principles.

In particular, the Gilbert Varshamov and the Singleton bounds are employed to obtain bounds on the size of the fractional experiment.

We consider bounds on the size of families F of subsets of a v-set subject to restrictions modulo a prime p on the cardinalities of the pairwise intersections.

We prove some lower bounds on the size of such circuits and the restricted rigidity of matrices in terms of the absolute value of the determinant of the matrix.

This paper's goal is not an in-depth analysis of the drivers of grid integration costs, but rather to place bounds on the size of the problem, and to determine under what circumstances integration costs are relevant to policy design.

For a design D, define spec(D ={|M| | M is a minimal defining set of D} to be the spectrum of minimal defining sets of D. In this note we give bounds on the size of an element in spec(D) when D is a Steiner system.