Sentence examples for denoted if from inspiring English sources

Given two real vectors and in decreasing order, we say that is weakly log majorized by, denoted, if, and we say that is weakly majorized by, denoted, if.

A point is said to be efficient with respect to (denoted ) if (2.6).

The point is called tightly properly efficient with respect to (denoted ) if there exists a convex cone with satisfying and there exists a neighborhood of such that (2.11). is said to be a tightly properly efficient point with respect to, written as, if (2.12).

The marital status denoted if single, married, divorced or living with a partner.

We denote if (2.12). is bounded and denote if (2.13). is bounded.

It shows political initiatives they've funded, things they've said, and icons that denote if they advocate for legalization, decriminalization, medicinal marijuana, or ending the drug war.

If the domain of contains an interval of the form and, then denotes, if it exists.

As above we denote (if exists) by G ( t, s ) = { G i j ( t, s ) } i, j = 1 n Green's matrix of periodic problem (1.1), (1.4).

For simplicity, we denote if ((x,y in mathcal{R}), and we will say that is the binary relation on X.

Recall that cone is said to be solid if the interior is nonempty, and we denote if. is normal if there exists a positive constant such that implies, is called the normal constant of.

Recall that cone is said to be solid if the interior is nonempty and we denote if. is said to be normal if there exists a positive constant, such that, the smallest is called the normal constant of.