Sentence examples for map exists due from inspiring English sources

Denote by (psi_{1}) one of continuous maps from ([0,1]) onto (S^{d-1}); such a map exists due to the Hahn-Mazurkiewicz theorem; see, for example, Theorem 6.8 in [7].

The memorial exists due mainly to Paul Marion, the cultural-affairs director of the Lowell Historic Preservation Commission.

No clearer map exists as to who is on whose side.

Only a few low resolution intra-specific maps that focus on specific traits exist due to the low level of polymorphism within a species and the paucity of cost-efficient markers available to be used in breeding programs.

I chose "Does God exist?" due to its inappropriateness.

The new nobility existed due to the organization of society.

These differences may exist due to genomic rearrangements, or due to genomic sequence misassemblies.

Some of the most remarkable efforts of amateur map makers are in countries where few, if any, digital maps existed.

No current maps exist, and it can be quite inhospitable to walking.

The difference between maps and other data-conveying graphics is that maps exist to represent spatial relationships — direction, sequence and distance.

He had this idea before Google Maps existed, and his team actually built their own map server and map data.