Sentence examples for a real interval from inspiring English sources

A notion of κ-monotonicity is introduced and characterized in terms of classical Nevanlinna functions with removable singularities on a real interval.

The first active scheme samples receipt times of gossip messages, while the second passive scheme calculates the density of process identifiers when hashed to a real interval.

By fϵ lbv(I, X), we mean that f is a function of a real interval I to a Banach space X, with bounded variation on every compact subinterval of I; to such f, an X-valued measure df, called its differential measure, classically corresponds.

where I is a real interval unbounded above.

Let I be a real interval and g : I → I a continuous map.

A positive function is called log-convex on a real interval, if for all and, (1.2).

To solve these equations, we use the Gecode library (http://www.gecode.org), a state-of-the-art framework for Constraint Programming including a real intervals constraint system (Float variables).

Moreover, if a mapping g from a compact real interval I to a Banach space E is Bochner integrable, i.e., if the norm function t ↦ ∥ g ( t ) ∥ is Lebesgue integrable, then g is also HL integrable.

To prove Theorem 1.1 and introduce Lemma 3.5, we will first recall the definition of Riemann integral for abstract-valued functions from a finite real interval to an RN module and a sufficient condition for such a function to be Riemann-integrable.

Let be a Banach space and a compact real interval.

The polynomial Euclidean algorithm has other applications, such as Sturm chains, a method for counting the zeros of a polynomial that lie inside a given real interval.