monotonic function in a sentence

Examples

1. In these cases, the time rate of entropy production has been shown to be a non-monotonic function of time during the approach to steady state heat convection.
2. This can have two meanings : First, a perfect Spearman correlation results when " X " and " Y " are related by any monotonic function.
3. First, Lord showed that under the assumption that \ theta is normally distributed, discrimination in the 2PL model is approximately a monotonic function of the point-biserial correlation.
4. Jamshidian's trick applies to Hull-White ( as today's value of a swaption in HW is a monotonic function of today's short rate ).
5. He obtained his PhD in Mathematics in 1956, with a thesis on the " Monotonic functions of two variables ", written under the direction of Miron Nicolescu.
6. The flow across the cells is determined based on ? ( k ) and ? ( k ), two monotonic functions that uniquely define the fundamental diagram as shown in Figure 1.
7. In a so-called concrete category, the objects are associated with mathematical structures like matrices ), metric maps, monotonic functions, differentiable functions, and uniformly continuous functions, respectively.
8. On the other hand, even though general monotonic functions are differentiable almost everywhere, the proof of the general formula does not follow, unless f ^ {-1 } is absolutely continuous.
9. For example, when talking about posets with least element, it may seem reasonable to consider only monotonic functions that preserve this element, i . e . which map least elements to least elements.
10. In the category of partially ordered sets and monotonic functions between partially ordered sets, the complete lattices form the injective objects for order-embeddings, and the Dedekind MacNeille completion of is the injective hull of.