Sentence examples for order induced by from inspiring English sources

and the order induced by the second-order cone K := K3 × K2.

Then is a (partial) order on named the partial order induced by.

The system of inequalities under the order induced by the symmetric cones K is given by (1.2).

However, one of its major drawbacks is the artificial order induced by the use of regular lattices.

In this article, we proposed a smoothing-type algorithm for solving the system of inequalities under the order induced by the symmetric cone.

For arbitrary x, y ∈ Ω, the operator Q is monotonic in V + with regard to the order induced by the cone V +.  .

The semi-order induced by the cone E is denoted by '≤'.

Then K is a cone provided (i) (kalpha+lbetain K) for all (alpha,beta in K) and all (k,lgeq0);   (ii) (alpha,-alphain K) imply (alpha=theta), here θ is the zero element of X.   Let E be a Banach space and K be a cone in E. The semi-order induced by the cone K is denoted by ≤.

In order to obtain the existence and uniqueness of positive almost periodic solution of system (1.4), we first make the following preparations: Let E be a Banach space and K be a cone in E. The semi-order induced by the cone K is denoted by '≤'.

Here we call it the partial ordering induced by φ.

By Lemma 1.5, if is the partial ordering induced by, then implies.