Sentence examples for upper bounds where from inspiring English sources

To obtain optimal rates of convergence of the mode estimator, we first derive upper bounds, where we benefit from the contrast of the curve at the mode rather than taking into account the rate of uniform convergence of the curve estimator.

The dashed curve in Figure 10 corresponds to this upper bound where the relay node employs only one data buffer to be shared among all source nodes and optimally allocates buffer sizes between the LK source nodes.

Similarly, we consider QCQP { A i, b i, c i } i = 0 N to find an upper bound, where A i = I m, b i = − x ̂, if i = 0, − a i, otherwise, c i = ∥ x ̂ ∥ 2 2, if i = 0, ∥ a i ∥ 2 2 − d ̄ i 2, otherwise.

every increasing sequence ( x n ) n ∈ N in ( X, ≤ ) has least upper bound, where ℕ denotes the set of positive integer numbers; for every O ∈ T containing the least upper bound of an increasing sequence ( x n ) n ∈ N, there exists n 0 ∈ N such that x n ∈ O for all n > n 0. In the aforesaid reference [3], Matthews introduced also the notion of a partial metric.

A three dimensional table T (i, j, k) is computed to acquire the upper bound, where i is the number of PTMs in modified proteins.

Applying Chernoff bound, the PEP corresponding to is upper bounded by, where denotes the moment-generating function.

"We're sort of approaching the upper bound of where we should be, and it's starting to look a bit stretched," said Binky Chadha, chief United States equity strategist at Deutsche Bank.

The experiments tested the Li [62] approach against an upper bound method where a standard classifier is trained with a large amount of target data.

These results are in particular applied to logistic regression and log-linear models where upper bounds for the breakdown points are also derived.

In this section, we give some new upper bounds for (rho Acirc{B})), where A and B are nonnegative matrices.

The domain of parametric ranges seeks to infer the lower and upper bounds for each program variable where each bound is a linear expression over nonnegative parameters.