Sentence examples for involve the existence from inspiring English sources

Our main results involve the existence of extremal solutions in presence of lower and upper solutions.

To avoid confusion, we will use 'desert' to refer to the relation that does not essentially involve the existence of social or legal institutions, and 'entitlement' to refer to the relation that does essentially involve the existence of such institutions.

The results of variational type involve the existence and properties of the smallest element in a maximal chain.

Many of these works investigate the b-chromatic number of graphs under assumptions that involve the existence of large cycles.

On some accounts, function is a quasi-causal notion (Cohen 1978 Chapter IX), on others it is a teleological notion, albeit one that does not necessarily involve the existence of any mental states (Ryan 1970 Chapter 8).

This coexistence scenario, although arising in a small region of parameter space (Fig. 4a), might involve the existence of polymorphisms in multiplication rate and virulence.

Many of the Supreme Court decisions which imposed legal order upon this nation have involved the existence of a racial component.

For example, a person's memory that grass grows fast might be regarded as a state involving the existence of an electronic token of the sentence "Grass grows fast" in a certain location in the person's brain.

The first of these problems involves the existence of empty names: names which have no referent.

This condition involves the existence of what have come to be called barrier functions.

For recent developments involving the existence of anti-periodic solutions, one can also see [33 35] and the references therein.