Alan Zucconi

Tag: featured maths

  • Xorshift Generators

    Xorshift Generators

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    This article is a deep dive into xorshift generators, one of the most adopted families of algorithms for the generation of pseudorandom numbers. This is a companion article to a video documentary which will be released in the following weeks. If you want to learn more about xorshift generators, including tables of maximal triplets, you…

  • Orbital Mechanics

    Orbital Mechanics

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    This is a deep dive into the fascinating topic of orbital mechanics: from the implementation of gravity simulators, to the mathematics which governs Keplerian orbits in the two-body problem.

  • The Mathematics of the Kalman Filter

    The Mathematics of the Kalman Filter

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    This is the second part of the series dedicated to one of the most popular sensor de-noising technique: Kalman filters. This article will introduce the Mathematics of the Kalman Filter, with a special attention to a quantity that makes it all possible: the Kalman gain. You can read all the articles in this online course…

  • The Mathematics of Catenary

    The Mathematics of Catenary

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    Many modern games feature hanging wires, cables and chains; this series of tutorials will explore the mathematics behind their shape, which is known as catenary. You can find the Unity package to create catenaries in Unity at the end of the post.

  • The Mathematics of Epidemics

    The Mathematics of Epidemics

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    This online course introduces the topic of modelling and simulating epidemics. If you are interested in understanding how Mathematicians, Programmers and Data Scientists are studying and fighting the spread of diseases, this series of posts is what you are looking for. This online course is inspired by the recent COVID-19 pandemic. Now more than ever…

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