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Analytic spread of filtrations and symbolic algebras
In this paper we define and explore the analytic spread $\ell(\mathcal I)$ of a filtration in a local ring. We show that, especially for divisorial and symbolic filtrations, some basic properties of the analytic spread of an ideal extend to filtrations, even when the filtration is non Noetherian.
Steven Dale Cutkosky, Parangama Sarkar
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Deriving Fuzzy Weights from the Consistent Fuzzy Analytic Hierarchy Process
The analytic hierarchy process (AHP) is one of the most popular multi-criteria decision-making (MCDM) methods, and so is its extension fuzzy analytic hierarchy process (FAHP).
Chin-Yi Chen, Jih-Jeng Huang
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Analytic spread modulo an element and symbolic rees algebras
This article concerns the behavior of the symbolic powers of prime ideals of dimension one in regular local rings; the motivating problem is to find conditions for the symbolic Rees algebra \(S=\oplus P^{(n)}t^ n \) to be noetherian. The main result is that if T is a d-dimensional local domain (regular or complete takes care of the technical hypotheses)
Sam Huckaba
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Reduction numbers for ideals of analytic spread one
Let R be a local (Noetherian) ring with infinite residue field, and let I be an ideal of R. An ideal \(J\subseteq I\) is called a reduction provided there exists a nonnegative integer r such that \(JI^ r=I^{r+1}\), and a reduction is said to be minimal if it contains no proper reduction of itself. Northcott and Rees proved that minimal reductions exist,
Sam Huckaba
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Prime divisors, analytic spread and filtrations [PDF]
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Memetic rhetorical theory: an analytic model for the spread of information online
Modern discourse is often characterized by such extreme polarization that participants operate from entirely different sets of facts. These alternative facts represent a new line of inquiry for rhetoricians, who must determine how false facts gain ...
Carleigh Davis
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Selecting The Effective Ways to Prevent COVID-19 From Spreading Using Fuzzy AHP Method
The COVID-19 pandemic has had a significant impact on global health and economies. This study aims to identify highly effective prevention strategies for mitigating the spread of COVID-19 using the Fuzzy Analytic Hierarchy Process (FAHP) method. The FAHP
Mohd Fazril Izhar Mohd Idris +2 more
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Comprehensive Review on Facemask Detection Techniques in the Context of Covid-19
The outbreak of Coronavirus Disease 2019 (Covid-19) had an enormous impact on humanity. Till May 2021, almost 172 million people have been affected globally due to the contagious spread of Covid-19. Although the distribution of vaccines has been started,
Afsana Nowrin +4 more
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An Analysis of the Principle of Justice in Teachers’ Professional Ethics and Its Application in Practical Circumstances [PDF]
The purpose of the present research is to analyze the principle of justice in teachers’ professional ethics and its application in practical circumstances. The research method is descriptive-analytic.
Ali Asaadi
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In this paper, we present analytic expressions for the coherent synchrotron radiation (CSR)-induced rms energy spread and the resulting emittance dilution due to three common scenarios in electron particle accelerators: An electron bunch transitioning ...
Donish Z. Khan, Tor O. Raubenheimer
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