Sentence examples for ordering given by from inspiring English sources

Let H be an ordered real Hilbert space with an ordering given by a closed cone P and suppose that the gradient Φ ′ : H → H of a given functional Φ ∈ C 1 ( H, R ) has the expression Φ ′ = I − A. Obviously, the critical points of the functional Φ are the fixed points of the operator A, and vice versa.

The partial order of Y is deduced by cone C. The ordering given by C on Y is denoted by ⩽, which is defined as follows: begin{aligned} y_{1}leqslant y_{2} quad mbox{if } y_{2}-y_{1} in C. end{aligned} Let (Ssubset X) be a nonempty set and (bar{x}in S).

In the second step, the cell's ordering given by the Hilbert curve is used to sequentially join cells with the highest proportion of cases over controls.

The quality of the ordering given by u j was assessed by plotting the percent of the 98 found having a percentile greater than p for all p less than 1.

In the first subsection we show that the edge flipping property is essential to the conclusion of Theorem 1. Then in the next subsection we compare the partial ordering given by Theorem 1 to the orderings given when the underlying graphs are restricted to trees.

To this end we first give a set of conditions written in terms of clusters of trees and its structure as a partial ordered set, where we consider the natural ordering given by inclusion of sets.

But, he added, "he is committed to all the orders given by the Palestinian Authority".

Eyewitness accounts strongly suggested that Michael was killed due to orders given by an intoxicated soldier.

Thou shalt not kill is a political order given by the highest ruler of them all, God Almighty Himself.

Some firefighters have told officials that they never heard an evacuation order given by Chief Joseph Callan after the second plane hit that morning.

They acted as a group in execution of orders given by Major Malinki, the battalion commander, who was not at Kafr Kasim himself.