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Integrally Closed Domains

Integrally Closed Domains
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Integrating time signals in frequency domain – Comparison with time domain integration

Measurement, 2014
Abstract Integrating sampled time signals is a common task in signal processing. In this paper we investigate the performance of two straightforward integration methods: (i) integration in the frequency domain by a discrete Fourier transform (DFT), division by j ω followed by inverse DFT (IDFT) back to the time domain, and (ii) a method ...
Brandt, Anders, Brincker, Rune
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Integral Domains

2021
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Integral domains with almost integral proper overrings

Archiv der Mathematik, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Domain Knowledge Integration

2010
In this chapter we focus on the theoretical underpinning and enabling technologies which ensure that the knowledge about the domain embedded in the software system remains current and is understood by the members of the VE.
Stalker, Iain Duncan, Carpenter, Martin, Mehandjiev, N, Owrak, Ali, Weichhart, Georg   +4 more
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Length Functions on Integral Domains

Proceedings of the American Mathematical Society, 1991
Let R R be an integral domain and x ∈ R x \in R which is a product of irreducible elements. Let l ( x ) l(x) and L ( x ) L(x) denote respectively the inf and sup of the lengths of factorizations of
Anderson, David F., Pruis, Paula
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Factoring Ideals in Integral Domains

2013
A classical generalization of the Fundamental Theorem of Arithmetic states that an integral domain is a principal ideal domain if and only if each of its proper ideals can be factored as a finite product of principal prime ideals. If the “principal” restriction is removed, one has a characterization of (nontrivial) Dedekind domains. The purpose of this
FONTANA, Marco, Houston, Evan, Lucas, Thomas   +2 more
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Domains, integration and ‘positive analysis’

Mathematical Structures in Computer Science, 2004
This article surveys a variety of approaches to integration theory that have arisen in the context of continuous domain theory. The presentation is set in a broader context of ‘positive’ analysis, analysis where order-theoretic notions and notions of positivity play a key role.
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