Sentence examples for established by the upper from inspiring English sources

In [18, 19], some existence results were established by the upper and lower solutions method.

Subsequently, the membership function of the collapse load limit is established by using the upper and lower bounds obtained from the series of α-sublevel calculations.

In Section 3, the existence of traveling waves is established by constructing the upper and lower solution.

The panel said that more than 95percentt of American men and 75percentt of American women ages 31 to 50 regularly consumed salt in excess of the upper limit established by the group.

Lees Ferry also marks the boundary between the river's upper and lower basins, as established by the 1922 compact.

The tolerable upper intake level (UL=4000 IU/day or 100 µg/day) has already been established by the European Food Safety Authority for the adult population.

Section 3 contains an existence result for problem (1.1) and (1.2) which is established by applying the method of upper and lower solution and the Schauder fixed point theorem.

This upper bound is referred to as Hadamard upper bound (HUB) and is a novel application of the Hadamard inequality established by exploiting the Hadamard operation between the channel fading matrix G and the channel path gain matrix Ω.

Camp was established on the upper end of the ice stream at S77.76973 x W095.12713.

The edges of the symbol nodes are then established by means of the LPEG algorithm which constructs an upper triangular pattern.

In the early 1700s Roman Catholic missionaries established churches in the upper Santa Cruz valley in southern Arizona.