Sentence examples for an exact upper bound from inspiring English sources

Using some properties of the Diophantine equations, we give an exact upper bound estimate for N ( p k ).

Further let N ( p k ) denote the number of pairs of integer points ( x, ± y ) on the elliptic curve E : y 2 = x 3 − p k x with y > 0. Using some properties of the Diophantine equations, we gave an exact upper bound estimate for N ( p k ).

In this paper the authors study the Beurling dimension of Bessel sets and frame spectra of some self-similar measures on Rd and obtain their exact upper bound of the dimensions, which is the same given by Dutkay et al. (2011) [8].

It shows a more precise upper bound.

Under the assumption that the birth rate is a time-periodic function and the death rate is a time-independent function, we obtain an exact upper and lower bound for the number of newborns and the total population.

However, in simulations, where the user activity is determined a-priory, the model provides an upper bound on the solution quality of the three simple schemes that do not require exact information about the future.

From the completeness proof we derive an exact algorithm for Max-SAT and a time upper bound.

It is possible however, and we believe important and useful to the field's practitioners, for such computational tools to provide an exact count of the potential number of off-targets, an "upper bound" of sorts, that a candidate guide RNA can have: this is precisely the question that Off-Spotter aims to address in this first iteration.

The error between the approximate and exact solutions is given, and an upper bound on the norm of the error in terms of a measure of the rate of change of the system matrix and the norm of the exact solution of the system is derived.

The results presented in this paper are based on exact vectors and therefore provide an upper bound on the information contents of predicted CN-/HSE vectors.

Results provide an approximate upper bound on feeding gesture classification using exact segmentation techniques, and show improvement when compared to prior sliding window techniques.