Sentence examples for preserving the completeness from inspiring English sources

On the other hand, it is well known that for each (standard) metric space ( X, d ), the mappings D ( X, U ) = d ( x, u ) + d ( y, v ), Δ ( U, V ) = max { d ( x, u ), d ( y, v ) }. for X = ( x, y ), U = ( u, v ) ∈ X 2 are metrics on X 2, also preserving the completeness property.

They did so after preserving the completeness of their artistic statement.

This theorem shows that every cone metric is equivalent to a metric which preserves the completeness as well as some inequalities.

D2Mon extends the functionality of Disclosure Monitor (DiMon) to address database updates while preserving the soundness and completeness properties of the inference algorithms.

Unrestricted subsumption, however, does not preserve the refutation completeness of resolution and, hence, there is a need to restrict its applicability (Loveland 1978).

"We are preserving the authentic".

Preserving the Affordable Care Act.

Abraham Lincoln preserved the Union.

That helped preserve the spontaneity.

"Preserve the good old buildings.

"So we preserved the streak".