Sentence examples for satisfying exists from inspiring English sources

and the condition (H1) ensure to exist the supremum, so, from Lemma 2.2 the element satisfying exists.

They are said to be ω-homotopic if there exists a deformation (h:Xtimes[0,1]rightarrow Y) joining f and g satisfying (exists Winomega) with (h({x}times [ 0,1])subset W) (forall xin X).

Something inherently satisfying exists in these squashed, soft sculptures, similar to actually putting a butt out.  .

(ii) is called upper semicontinuous (u.s.c) at if, for any open set satisfying, there exists such that, for every,.

(i) is called lower semicontinuous (l.s.c) at if, for any open set satisfying, there exists such that for every,.

As \ \phi \in \sc{SAT}\) just in case a satisfying valuation exists, this is a correct method for deciding \(\sc{SAT}\) relative to conventions (i)–(iii) from above.

There exist constants depending only on such that for any positive integer and any -covering of satisfying, there exists a set of real numbers, such that (3.1).

Note that there is a two-fold effect as m grows: first, |HS| tends to increase with m; but second, beyond a certain point no satisfying HS exists.

If, there exists satisfying.

(3) If, there exists satisfying.

By the closedness of there exists satisfying.