Sentence examples for equality condition from inspiring English sources

The equality condition also follows from the previous lemma.

This and (3.7) yield inequality (1.7) and its equality condition.

In the following, we discuss the equality condition of (2.2).

The following lemma gives an equality condition of Jensen's inequality.

The equality condition follows from Lemma 2.2 easily.

We now consider the equality condition of (2.1).

A generalized neighbor design relaxes the equality condition on the number of times two treatments as neighbors in the design.

The characteristics of the parameter-dependent disturbance are described by an equality condition with a defined annihilation matrix.

In what follows, we characterize the equality condition of Inequality (1.3) in Theorem 1.2.

This allows one to determine the equality condition in an explicit form.

Thus, by the equality condition of sharp triangle inequality with elements, there exists such that (3.55).