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Mathematics

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  • 14 Apr 2021
    Kevin Broughan

    Bounded gaps between primes: the epic breakthroughs of the early 21st century

    Why did I write this book? Certainly there are quite a few mathematicians who could write a better book on bounded gaps. I thought that the series of wonderful breakthroughs deserved to be celebrated with several accounts of the mathematical content of the breakthroughs, so why not! In addition, the style adopted for Equivalents of […]

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  • 5 Mar 2021
    C. R. Leedham-Green

    Did an apple really fall on Newton’s head?

    The original post can be found at www.principia.blog Everyone knows that The Principia was based on the inspiration that struck Newton when the apple struck his head, as you can see from the cartoon above. The thought that passed through his head was as follows: “Clearly the earth attracts the apple in the same way that it attracts […]

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  • 23 Feb 2021
    Faith A. Morrison

    What do the data say?

    In modern times we experience regular public exchanges of opinion, whether about COVID-19 policies, humanity’s influence on climate, or whether or not the local jail needs replacing.  When arguing in the public sphere, opposing sides each frame their take on a subject and present supporting arguments and facts.  Unfortunately, this is often where the discussion […]

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  • 19 Oct 2020
    Woodrow Barfield

    Algorithms Reaching into Society, our Bodies and our Brain

    Just a few years ago, who would have thought that algorithms would be regularly making important decisions once made by humans, and they would be so complex that we would not be able to fully understand how they made their decisions (even though we rely on their decisions in life-threatening situations). And further, that algorithms […]

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  • 5 Jun 2020
    Ronald Fricker

    On COVID-19 Surveillance

    As cities, counties and states begin to relax social distancing guidelines, it is important for local and state public health organizations to conduct rigorous disease surveillance looking for indications of COVID-19 resurgence. Recognizing that there will continue to be some level of disease incidence in the population, the question is whether relaxing social distancing guidelines […]

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  • 19 Mar 2020
    Serge Abiteboul, Gilles Dowek

    Living in the Algorithmic Age

    Algorithms are sometimes compared to cathedrals, in that they share the same ambition, and the same folly. Some algorithms, such as telephone operating systems, data management systems, or search engines, are huge objects involving the contributions of thousands of people. With algorithms, Homo sapiens has finally created a tool equal to its aspirations. Why do […]

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  • 9 Oct 2019

    Energy Transfers in Fluid Flows

    Understanding turbulence is an important and challenging problem with a million dollar prize money on it.  We illustrate the complexity of a turbulent flow using an example.  Consider coffee being mixed vigorously, say by stirring (Figure 1(a)).  The kinetic energy fed at the large-scales cascades to intermediate scales and then to small scales, as shown […]

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  • 16 Sep 2019
    T. W. Körner

    Why write an entire book about numbers?

    In the century preceding the French Revolution advanced mathematics began to play a role in ordinary affairs. If you wanted to find the position of a ship at sea, design fortifications or price annuities, then you needed mathematics. In a process accelerated by the Revolution, first the French and then the German states set up […]

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