monotone function

What does not mean that the thickness is a monotone function in the concentration.

This is analogous to monotone function in the scalar case.

Let f be a real-valued monotone function defined on an interval I.

Thus we have proved that if C is not convex, the turning angle cannot be a monotone function.

For example, in theoretical computer science, least fixed points of monotone functions are used to define program semantics.

Moments for the transient solution can be expressed as the sum of two monotone functions.

Monotone functions are central in order theory.

Note that every continuous function between dcpos is a monotone function.

It refines the concept of a monotone function.

In mathematical order theory, an order-embedding is a special kind of monotone function, which provides a way to include one partially ordered set into another.

A simple example of an order theoretic property for functions comes from analysis where monotone functions are frequently found.

A typical example of a monotone function is the following function on the cycle with 6 elements:

Every nucleus is evidently a monotone function.

The inequality holds because ln is a monotone function and, hence, the expressions and have always the same sign.

Note that 'g' is of bounded variation if and only if it is the difference between two monotone functions.

Computation then is modeled by applying monotone functions repeatedly on elements of the domain in order to refine a result.

Pos, partially ordered sets and monotone functions.

For a utility function: implies (i.e. u is a monotone function).

Denes Petz is an active researcher in quantum information theory, operator monotone functions and entropy.

Reversed Jensen type integral inequalities for monotone functions, (with A. Carbery).

The Spearman correlation increases in magnitude as X and Y become closer to being perfect monotone functions of each other.

Under mild conditions, for example if the function is a monotone function or a Lipschitz function, this is true.

Following the terminology for monotone functions, the former definition describes polygons strictly monotone with respect to L.

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves the given order.

A likelihood-ratio test might be preferred as being more powerful, and the test statistic might not be a monotone function of the one above.