Sentence examples for this example satisfies from inspiring English sources

This example satisfies Theorem 1.2 ii).  .

This example satisfies Theorems 1.1(i) and 1.2(i).

Now, let (F Xtimes Xrightarrow X) as Fleft( x,yright) =frac{x-2y}{8}.We shall check that this example satisfies all conditions of Corollary 3.12.

According to the results above, the maximal exponentially ergodic constant of this example satisfies alpha^ geq frac{lambda^{2}}{lambda+(q_{2}-lambda)(E^{2}{e^{lambda tau_{1}^-1)}.

In mathematics, generally, an entity is said to "exist" if a mathematical example satisfies the abstract properties that define the entity.

The above example satisfies condition (2.5).

The following example satisfies the assumptions of Theorem 3.1.

The second example satisfies two constraints: object and sentence structure.

Clearly, the above example satisfies all the hypotheses of Theorem 2.6.

Also it is easy to see that the above example satisfies all the conditions of Theorems 2.2 and 2.4.

The following example satisfies all the assumptions of Theorem 3.1, while (F_{1}) is not lower semicontinuous at ((frac{1}{2}, frac{1}{2},1)).