Sentence examples similar to proven conditions from inspiring English sources

We first prove conditions (4.30) and (4.31).

We just need to prove conditions (4) and (5).

Now we prove conditions (1) and (2) are equivalent.

In this section we prove conditions guaranteeing that (1.1) has regularly varying solutions.

In this section, we state and prove conditions for the approximate controllability of semilinear fractional control integro-differential systems.

Following von Neumann's program, however, John Nash used fixed point theory to prove conditions under which the bargaining problem and noncooperative games can generate a unique equilibrium solution.

Since 1995, according to a report by the Guttmacher Institute, 26 countries have liberalized their abortion laws, many of them recognizing that requiring women to prove conditions like rape and threat to life is simply untenable.

Intuitively, this is an intermediate step in proving conditions under which X either prunes Y or E T yx.

Next, we prove condition (2.6).

Next, let us prove condition (v).

Next we prove condition (BM-3).