Sentence examples for by the mapping P_{i} from inspiring English sources

Thus, all the conditions of the Fan-KKM Theorem 2.1 are fulfilled by the mapping (P_{i}).

Graphic map driven by data complied by the group Mapping Police Violence | Map by Samuel Sinyangwe.

Denote the mapping by (3.1).

and the mapping by (2.7).

Define the mapping by (3.39).

The mapping defined by.

The mapping, given by (4.1).

Define the mapping on by.

My own internal map of the city was informed entirely by the subway map.

Template for mapping Print the mapping template.

By Katie Coakley, Katie on the Map.