Sentence examples for for satisfies from inspiring English sources

where is defined as in the beginning of Section 2, is strictly increasing odd function satisfying for, satisfies (4.2). for given functions and   satisfying for, and functions and satisfy that.

Thus, for, satisfies all the conditions of Theorem 2.1.

Suppose that and are nonnegative functions defined for, satisfies (2.12).

For, satisfies only one of the following properties: (i),, (ii),.

The constant is the best possible since for satisfies for each.

Suppose that and are nonnegative functions defined for, satisfies the inequality (1.4).

(i) ; (ii)for which satisfies, ; (iii)for, and,.

A painful divorce in 1950 was the apparent inspiration for Satisfied, Carson's first solo single, recorded in Nashville, Tennessee.

(H5) The nonlinear operators and, for satisfy (2.1).

Let and then the numbers (or ) for satisfy the following property: (1.11).

For Satisfied, DecembeRadio made a concerted effort to write lyrics that were more uplifting than those featured on their previous album.