Sentence examples for a general upper bound from inspiring English sources

The main goal of this paper is to prove a general upper bound for the probability that Mn is singular.

Furthermore, based on the generalised RCs, an intruder model where an eavesdropper can access to some nodes is considered and a general upper bound on secrecy capacity is derived.

This correspondence shows a general upper bound on k-error N-adic complexity of periodic sequences over Z/(N), and establishes the existence of periodic sequences over Z/(N) which simultaneously possess maximal N-adic complexity and large k-error N-adic complexity.

In that section we prove a general upper bound for this deviation and establish a connection with reconstruction accuracy.

More precisely we prove the general upper bound C S,T ⩽n−1 and we show that there are pairs of trees for which this bound is tight.

Although this approach may result in a loose upper bound in general, we consider it to assess other bounds.

The comparison theorem of Cheng [17] gives a sharp upper bound for general Riemannian manifold in terms of the Ricci curvature and the diameter of domain.

For this reason, certain axioms from classical mathematics are rejected by intuitionists, such as the completeness axiom for real numbers, which says that if a non-empty set of real numbers has an upper bound, then it has a least upper bound: we know of no general method that would allow us to construct mentally the least upper bound whose existence the axiom claims.

In [20, 21], a lower and a conjectured upper bound for the general case is introduced and will be discussed later.

We also give an upper bound for the JS at the general level and compare it with a known upper bound.

We first show a tight upper bound of k in general fair network cost-sharing games, where k is the total number of players.