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Associations between ventricular boundary shift integral and composite cognitive domains across the alzheimer's disease continuum. [PDF]
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Integrating time signals in frequency domain – Comparison with time domain integration
Measurement, 2014Abstract 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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Maximal non valuation domains in an integral domain
Czechoslovak Mathematical Journal, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, Rahul, Gaur, Atul
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Linkage of Ideals in Integral Domains
Algebras and Representation Theory, 2020Let \(R\) be a commutative ring with identity. Recall the following definitions: (1) Let \(I,J\) and \(A\) be ideals of \(R\). Then \(I\) and \(J\) are linked over \(A\) if \(A\subseteq I\cap J\), \(I=(A:J)\) and \(J=(A:I)\). (2) \(R\) has the linkage property if any two distinct nonzero ideals of \(R\) are linked.
S. Kabbaj, A. Mimouni
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Domains, integration and ‘positive analysis’
Mathematical Structures in Computer Science, 2004This 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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On a Class of Archimedean Integral Domains
Canadian Journal of Mathematics, 1976Our starting point is an observation in elementary number theory [10, Exercise 26, p. 17]: if a and b are positive integers such that each number in the sequence a, b2, a3, b4, … divides the next, then a = b. Its proof depends only on Z being a unique factorization domain (UFD) whose units are 1, —1. Accordingly, we abstract and say that a (commutative
Beauregard, Raymond A., Dobbs, David E.
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