Sentence examples for be a proper function from inspiring English sources

Let f be a proper function defined on X.

Let Y be a nonempty subset of X and let (F Yto -infty,inF Yto -inftyroper function which is bounded below.

Let be a metric space with metric, let be a proper function which is bounded from below, and let be a function such that, one has the following.

Let be a metric space with metric, let be a proper function which is bounded from below, and let be a function satisfying (i), (ii), and (iii) of Theorem 3.1.

Let H W [ z] be a proper function, whose (A,B,C,D) matrices of a state-space realization is (A H,B H,C H,D H ). Let the order of R[ z] be n and let (A R,B R,C R,1) be (A,B,C,D) matrices of a state-space realization of R[ z].

Animosities and loyalties can undermine what can otherwise be a proper functioning body, he says.

Asked if this did not presuppose that some private institutions would fail, Mr Johnson said: "If there is to be a proper functioning market (in higher education) you have to have a safeguard in the system - also you have to have the facility for institution to drop a course where  they are not being competitive".

They'll make it work, be a proper, functioning football team.

He supports the Environmental Protection Agency, arguing that policing polluters is a proper function of the government.

I am unable to agree that this is a proper function for the Court to perform and I therefore dissent.

Thus, if I take good care of my body, then this is a proper function.