Sentence examples for be any subset of from inspiring English sources

Let and be any subset of Then (3.9).

((4) Rightarrow (5).) Let (V) be any subset of (Y).

((5) Rightarrow (6).) Let (U) be any subset of (X).

In real applications, impulse values can be any subset of the entire range of grey-values.

Let (mathcal{A}=(a_{i_{1}i_{2}i_{3}i_{4}})inmathbb{R}^{mtimes ntimes mtimes n}) be a partially symmetric tensor, and let α be any subset of ([m]) and β be any subset of ([n]).

Now, the loss of a node can happen to any of the n storage nodes, and the K helpers can be any subset of the remaining storage nodes.

This is equivalent to stating that a mapping is any subset of, and.

}, end{aligned}where (B) is any subset of the condition attribute set (A) (i.e. (Bsubseteq A)) [11].

Without getting into the details, let's say (a bit vaguely) that EBS-B is any subset of EBS that doesn't entail B and is otherwise maximally similar to EBS. 12.

If S is any subset of E 0, then S ¯ denotes the smallest hereditary saturated subset of E 0 which contains S ; S ¯ is called the hereditary saturated closure of S. (Such exists by the previous observation).

Recall that a G-interval is any subset of the form (i) ([a, rightarrow) = {x in X; (a,x) in E(G }),   (ii) ((leftarrow, a] = {x in X; (x,a) in E(G })   for any (a in X).