Sentence examples for map for which from inspiring English sources

The corresponding mathematical question, framed in 1852, became the celebrated "four-colour map problem": Is it possible to construct a planar map for which five colours are necessary?

The present method is applied to computing unstable manifolds for the well-know periodically forced Duffing system and the Hénon map (for which the manifold is a strange attractor).

If is a competitive map for which holds, then for all, is eventually componentwise monotone.

Now, we present a little more complicated example of a map, for which we also have.

Let be a map for which there exist real numbers satisfying.

Let T 0 ∈ T be the map for which Fix(T0) = X0 is a nonempty complete lattice.

In 2005, Sastry and Babu [1] introduced the Mann and Ishikawa iterations for multivalued mappings as follows: let be a real Hilbert space and be a multivalued mapping for which.

The accuracy of automated techniques was evaluated relative to manual labeling using the Dice similarity index and surface-based shape mapping, for which we computed vertex-wise displacement vectors between automated and manual segmentations.

Suppose that is a nonexpansive mapping for which (2.6).

Suppose that there exists a mapping for which a mapping satisfies (3.13).

In this paper we study maps for which the vertices are permuted by the map.