Sentence examples for first relation of from inspiring English sources

So, the first relation of (3.4) holds.

Suppose that (3.5), the first relation of (3.2) and the second relation of (3.8) are satisfied.

In addition, the first relation of (3.4) directly yields that H ⊂ H 00 ∗.

It follows from the first relation of (7) that | a j β | < 1, 1 ≤ j ≤ k + 1.

end{aligned} (37) If we substitute the results of equations (36) and (37) in the equality (33), we obtain the first relation of Theorem 2, namely equation (28).

By Remark 3.1, H = ( H 00 J ∗. So, by the first relation of (3.8), x ( t ) = 0 for t ∈ I implies that f ( t ) = 0 for t ∈ I.

Second, relation of these words are mined.

Also like Augustine, he seems to leave unexplained this second relation of being "present as a whole" in every place.

It follows from (8) and the second relation of condition (7) that all the eigenvalues of D F ( O ) have absolute values larger than 1 in norm.

Letting n → ∞ in the first (or second) relation of (3.1), we obtain, with the help of continuity of m 1, m = R ( m 1, m, m 2 ), which means that m is ( m 1, m 2 ) -stabilizable.

For (c) notice that we can prove that for every x 1 ∗ ∈ S Fix ( T 1 ), there exists x 2 ∗ ∈ S Fix ( T 2 ), such that d ( x 1 ∗, x 2 ∗ ) ≤ η 1 − a 2. A second relation of this type will be obtained by interchanging the role of T 1 and T 2. Hence, the conclusion follows by the properties of the functional H. □.