Sentence examples for in satisfies for from inspiring English sources

We will prove that if a sequence in satisfies for each, then.

(h1)for each,, (h2), with implies that and, (h3)if a sequence in satisfies for each, then.

then is well defined, takes values in, satisfies for all (for is smaller than any associated to ), and also satisfies (2.1), with replaced by, for all.

Also, we assume that the compact set in satisfies for all and for all, where is any solution of the limiting equation of (2.12) and (2.7).

(S1 for each, the set or is closed in, (S2) with and implies that, (S3) if a sequence in satisfies for each, then as, (S4 for any, there exists such that and.

for each, the set or is a closed subset of, with and implies that, if a sequence in satisfies for each, then as, for any, there exists such that and.

Condition ensures that function defined in (2.21) satisfies for every and -a.e., (2.26).

For every and, as a straight-forward consequence of,,, and the compact immersion from into, we deduce that there exist two constants such that function, defined in (2.21), satisfies for -a.e., (3.14).

If sequences and in satisfy and for some, then.

Assume that is a surjective self-mapping which is continuous everywhere in X which satisfies for some real constant, some,.

We also may (and we do) assume that every admissible nqsc curve in condition, say, satisfies for all either or (2.4 - 2.5 2.4 - 2.5