Sentence examples for establishes bounds from inspiring English sources

The graph of E 1 is a decreasing function of a single variable in ℬ if and only if ∂ ∂ y T 1 ( x, y ) < 0. The graph of E 2 is a decreasing function of a single variable in ℬ if and only if ∂ ∂ x T 2 ( x, y ) < 0. The next theorem establishes bounds on the number of nonnegative equilibria of system (1).

Finally, a map is proposed that establishes bounds of appropriate usage for different modeling techniques, namely a macromechanics plasticity model and a micro-mechanics crystal plasticity model, which will be useful to engineers in the metal forming industry in choosing suitable simulation tools.

In addition, there is no objective basis for establishing bounds on the sampling error when a nonprobability sample has been used.

We also establish bounds on the worst case complexity of Feynman Kac path integration.

If the costs are unknown, then we can use minimum and maximum costs to establish bounds on the final NPV.

Here we consider the geometry of stream lines for ideal fluid flow in a domain and establish bounds on their distortion in terms of a reference line.

Later on, Wyner and Ziv established bounds for lossy compression with SI at the decoder as an extension to the Slepian and Wolf theorem.

However, our experiments are targeted towards establishing bounds on errors when measuring simple linear dimensions such as height and width on prismatic objects of a single color and material.

Using a novel model for the dynamics of maximal matching algorithms, we show that modified maximal matching algorithms guarantee stability of the switch and establish bounds on the average delay experienced by a packet.

The need for such theoretical framework has motivated this paper to propose a new stability concept to establish bounds on the learning abilities of unsupervised algorithms designed to detect changes on data streams.

Secondly, we establish bounds for a solution ∇(t) of the Yang Mills heat equation in a vector bundle over M. The Li Yau–Hamilton estimate is utilized in the proofs.