Sentence examples for real-valued function on from inspiring English sources

Given an arbitrary real-valued function on a graph, a vitality measure quantifies the difference between the value on the graph with or without the vertex or the edge.

We model the space of genotypes as a distributive lattice; the fitness landscape is a real-valued function on that lattice.

A quasinorm is real-valued function on satisfying the following.

Suppose that a real-valued function on,, is lower semicontinuous.

Then provided a real-valued function on, is lower semicontinuous.

A seminorm on is a real-valued function on such that for and :,,.

Similarly, a real-valued function on is an upper solution for (1.1 - 1.2 1.1 - 1.2.

Let be a closed convex set in, a real-valued function on, and the set.

A real valued function on is called lower semicontinuous if for any sequence with implies that.

Here, the functions p, w are positive on ([a,b]) and r is a real valued function on ([a,b]).

If a real valued function on is lower semicontinuous, then there exists, such that Further, if then is a fixed point of.