Sentence examples for be two numbers such from inspiring English sources

Let be two numbers such that and a nonnegative continuous concave functional on.

for all and Let be two numbers such that and let be a nonnegative continuous concave functional on.

Let a, b be two numbers such that 0 < a < b and α be a nonnegative continuous concave functional on K.

Let a, b be two numbers such that 0 < a < b and β be a non-negative continuous concave functional on P. We define the following convex sets: P a = { x ∈ P : ∥ x ∥ < a }, P ( β, a, b ) = { x ∈ P : a ≤ β ( x ), ∥ x ∥ ≤ b }. (see [18]).

Begin by locating a pair of tiles.This could be two number tiles such as 7 and 7, or two picture tiles such as North and East (or King and King if you are playing with a Western tile set).

Moreover, suppose that there are two numbers, and such that and (2.80).

A finite collection of unit vectors S⊂Rn is called a spherical two-distance set if there are two numbers a and b such that the inner products of distinct vectors from S are either a or b.

Moreover, suppose that there are two numbers a ˜ and b ˜ such that a < a ˜ < b ˜ < b and I M ( a ) < I m ( a ˜ ) ≤ I M ( a ˜ ) < I m ( b ˜ ) ≤ I M ( b ˜ ) < I m ( b ), (2.20).

To this end, contrarily assume that there are two numbers 1 ⩽ i < j ⩽ m, such that E i and E j both are nonempty.

Let ν be any positive real number and a b be two real numbers such that ν < a ≤ b[17].

Let or, and and be two positive numbers such that.