Sentence examples for held the relation from inspiring English sources

This assumption set the clearness index, k T, to 1 and held the relation between the beam and sky-diffuse components of insolation in Equation 17 constant.

Clearly, there holds the relation for all (see [27]).

Then if and only if it holds the relation: (2.3).

Given and, then if and only if there holds the relation (16).

As we all know if and only if there holds the relation (2.3).

The value of p is determined so as to hold the relation of (0 le alpha le 1).

Clearly, there holds the relation J φ ( x ) = φ ( ∥ x ∥ ) ∥ x ∥ J ( x ) for all x ≠ 0 (see [2]).

Then (z=P_{K}x) if and only if there holds the relation langle x-z,y-zrangleleq0 quadtextit{for all } yin K. (See [17]).

Given x ∈ H and z ∈ C. Then z = Pr C x if only if there holds the relation 〈 x − z, y − z 〉 ≤ 0 for all y ∈ C. Lemma 1.3 Let ℋ be a real Hilbert space.

Then we have: (1) z = P C ( x ) if and only if the following relation holds 〈 x − z, y − z 〉 ≤ 0, ∀ y ∈ C.   (2) There holds the relation 〈 P C ( x ) − P C ( y ), x − y 〉 ≥ ∥ P C ( x ) − P C ( y ) ∥ 2, ∀ x, y ∈ H.  .

The Court remarked that the Senecas were "in a state of pupilage, and hold the relation to the Government as a ward to his guardian".