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Month: January 2018

All the Same Opposites

All the Same Opposites

Editor's note: see this appendix for supporting proofs. Fields are among the most convenient algebraic structures, preserving much of the arithmetic we know and love from familiar fields like the rationals and the real numbers . Now, it is unnecessary that a set possess infinitely many elements to possibly constitute a field (under the right…

Extensions of the Single Server Efficiency Model

Extensions of the Single Server Efficiency Model

For the full paper, which includes all proofs, click here. Abstract Editor's note: this paper comprises the third chapter of the PhD dissertation by Rachel Traylor. Visit here and here to see chapters one and two, respectively. Herein we further generalize the single server model presented in [3]. In particular, we consider a multichannel server…

The Red-Headed Step-Distributions

The Red-Headed Step-Distributions

Almost every textbook in probability or statistics will speak of classifying distributions into two different camps: discrete (singular in some older textbooks) and continuous. Discrete distributions have either a finite or a countable sample space (also known as a set of Lebesgue measure 0), such as the Poisson or binomial distribution, or simply rolling a…

(Commentary) Spectre and Meltdown: Spokes on a Wheel

(Commentary) Spectre and Meltdown: Spokes on a Wheel

There has been a flurry of articles and discussions related to Intel’s Spectre and Meltdown vulnerabilities. Many good writings discuss the technical nature and implications to hardware, and you can find a selection here, here, and here. As of this writing, many software developers and security experts are frantically trying to create patches to protect…