Sentence examples for example satisfies the from inspiring English sources

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

The following example satisfies the assumptions of Theorem 3.1.

The "inverted qualia" objection to functionalism maintains that there could be an individual who (for example) satisfies the functional definition of our experience of red, but is experiencing green instead.

The random variables given in the following example satisfy the definition of (mathcal{F} -acceptability.

Thus the above example satisfies all the conditions of Theorem 2.1 with the t-norm T p, but here the mapping f has no fixed point.

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)).

Our example satisfies two of the criteria: our innovation diffusion CAS is naturally composed of agents, and the agents form dynamically changing relationships.

The above example satisfies condition (2.5).

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