Dirac delta and singular distributions: The general non-good function case
Access Status
Fulltext not available
Authors
Date
2012Type
Conference Paper
Metadata
Show full item recordAbstract
A rigorous approach for defining Dirac type singular distributions is detailed for the case where the distribution is to be applied to functions that are normally to be considered in physical applications and which are outside formal distribution theory. Four principles that underpin singular distributions are detailed. The approach is applied to examples in the recent literature and the limitations of several conclusions is made clear. A non-linear distribution which extracts the number of zero crossings of a function is defined.
Citation
Howard, Roy M. 2012. Dirac delta and singular distributions: The general non-good function case, in International Conference on Engineering and Applied Science, Jul 24-27 2012, pp. 294-312. Beijing: Conference organizer.
Source Title
Proceedings of the International Conference on Engineering and Applied Science
ISBN
Collection
Related items
Showing items related by title, author, creator and subject.
-
Beyersmann, E.; Dutton, E.; Amer, S.; Schiller, N.; Biedermann, Britta-Andrea (2015)The role of number dominance (singular vs. plural) in word production has revealed contrasting results in Dutch and English. Here, we compared the production of Dutch regular plural forms that are more frequent than their ...
-
Chan, F.; Singh, Ranjodh (2013)The objective of this paper is to test for intra-daily seasonality using Maximum Entropy Density (MED). Specifically, this paper attempts to investigate seasonal patterns over weekdays and through the hours of a given ...
-
Do, Khac Duc (2015)This paper presents a constructive design of distributed coordination controllers for a group of N quadrotor vertical take-off and landing (VTOL) aircraft in three-dimensional space. A combination of Euler angles and ...