Sentence examples for improper functions from inspiring English sources

Equations (13) and (14) are improper functions, since S pop (x) is not a proper survival function.

Examples of these fictions include Dirac's assumption that every self-adjoint operator can be put in diagonal form and his use of delta functions, which von Neumann characterizes as "improper functions with self-contradictory properties".

Because the elements of Φ are so well-behaved, Φx may contain elements that are not so well-behaved, some being singular or improper functions (such as Dirac's elta function).

Generally, truncations before the β-mannosidase active site would result in improper functioning or non-functional protein, which subsequently leads to severe phenotypic expression.

In addition, we considered improper functioning of those tissues to be unlikely to be related to this event.

Generally, tetraplegics suffer from impaired chest wall and diaphragm muscle function which leads to an improper functioning of the lungs, subsequently causing death.

Improper functioning of traffic signals at the intersections result in extreme congestion leading to increase in overall journey time and wastage of precious fuel.

Perception in this sense cannot be a means of knowledge (pramāṇa) as it does not distinguish between proper and improper functioning of sense organs and, therefore, between valid and erroneous perceptions.

Moreover, our analysis highlights the relevance of infrastructure-related systemic risk, corresponding to the effects caused by the improper functioning of financial market infrastructures or by financial market infrastructures acting as conduits for contagion.

In the preface to von Neumann's treatise (1955) on that topic, he notes that Dirac provides a very elegant and powerful formal framework for quantum mechanics, but complains about the central role in that framework of an "improper function with self-contradictory properties," which he also characterizes as a "mathematical fiction".

Improper function of any of these components can impair GSIS.