Sentence examples for proved the properties from inspiring English sources

They proved the properties of sequences in cone metric spaces and obtained various fixed point theorems for contractive mappings.

They extended the definition of generalized projection operators introduced by Abler [16] and proved the properties of the generalized f-projection operator.

Huang and Zhang [1] introduced the concept of a cone metric space, proved the properties of sequences on cone metric spaces and obtained various fixed point theorems for contractive mappings.

Where title cannot be proved, the property escheats (reverts) to the state by law.

A strong foundation for the object-with-roles notion would be extremely helpful to justify these choices and to understand, and prove, the properties of such a mechanism.

These two aspects in turn prove the properties.

Blockchain technology can be used by checking the records in the database to prove the properties.

To prove the properties of M p 0, q 0 p 1, q 1 class we need the following lemma.

Now, we can follow the method of [40] to prove the properties of H and F. Assume that (beta_{2}), (beta_{3}) satisfy (3.4).

In this section we establish a new concept of a soft mapping, formulate related definitions and prove the properties of soft mappings.

To win in court, an owner must affirmatively prove the property's innocence, ignoring the "innocent until proven guilty" hallmark of the American justice system.