Sentence examples for depend on existence from inspiring English sources

We also consider *π E * E M to be the vector bundle projection of the dual bundle E*to E. For trivial N-connection structures, we can write respectively E * and E (we shall also use 'not-boldfaced' symbols if the constructions will not depend on existence of the N-connection structure).

As these predictions do not depend on existence of ESTs, they can be used to assess the number of conserved coding exons that are still undetected.

But since the presence of this property depends on existence of the effect, the existence of the cause as that very object also depends on the existence of the effect.

The spread of bTB in new areas and its persistence in existing hotspot areas depend on the existence of a suitable host community.

Hence, the existence of a thought does not depend on the existence of the objects it purports to represent.

Preservation battles tend to depend on the existence of a powerful co-op or tenants' group eager to go to bat for a building, regardless of its quality.

Hence reasons to act depend on the existence of desires (Williams 1981).

A property is qualitative (as opposed to individual) if it does not depend on the existence of any particular object.

This means that they, and the predicates special to them, depend on the existence of minds and mental states, for only minds have interest-relative perspectives.

The success of such data models will greatly depend on the existence of automated database design techniques that generalise achievements from relational databases.

Polar bears use various hunting techniques to catch their quick-swimming food, but all methods depend on the existence of sea ice.