Sentence examples for there exist nonnegative from inspiring English sources

If for some and, there exist nonnegative constants, and such that (3.1).

If for some there exist nonnegative constants, and such that (3.17).

Suppose that is completely continuous and there exist nonnegative numbers with such that (i) and for   (ii) and for   (iii) for with   (iv) for with  . and for.

A multi-valued mapping T : D → CB ( D ) is said to be totally quasi-ϕ-asymptotically nonexpansive if F ( T ) ≠ Φ and there exist nonnegative real sequences { v n }, { μ n } with v n, μ n → 0 (as n → ∞ ) and a strictly increasing continuous function ζ : R + → R + with ζ ( 0 ) = 0 such that (2.3).

There exist nonnegative integers and such that.

There exist nonnegative matrices such that.

Suppose that there exist nonnegative coefficients, such that (3.10).

(A2) For any, there exist nonnegative matrices such that (3.16).

If there exist nonnegative constants and such that (3.33).

There exist nonnegative matrices,,, and a constant such that.

For any, there exist nonnegative matrices and,, such that (316).