Alan Zucconi

Tag: maths

  • 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…

  • Linear Interpolation

    Linear Interpolation

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    This tutorial will explore one of the most used Mathematical tools in Game Development: linear interpolation! This first post will focus on its Mathematical definition and implementation. The following parts of this series will explore how to extend linear interpolation to non-linear mappings, and how to use them to correct colour curves. You can find…

  • 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.

  • Improving Floating-Point Precision in C#

    Improving Floating-Point Precision in C#

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    This tutorial continues the journey to understand floating-point arithmetic, and how to improve the precision of modern programming language types. At the end of this article, you will find a link to download a simple C# library that provides a new type which improves the precision of traditional float and double variables.

  • An Introduction to Floating-Point Arithmetic

    An Introduction to Floating-Point Arithmetic

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    This tutorial will introduce you to floating-point arithmetic, and how many modern languagesโ€”C# includedโ€”represent real numbers. This is a series in two parts: At the end of this article, you will find a link to download a simple C# library that provides a new type which improves the precision of traditional float and double variables.

  • From an Outbreak to an Epidemic

    From an Outbreak to an Epidemic

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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. The third, and final part of this course will focus on different strategies that…

  • Simulating Epidemics

    Simulating Epidemics

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    This is the second part of the online course dedicated to the modelling and simulating of 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. In the second part, we will focus on…

  • 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…

  • The Transformation Matrix for 2D Games

    The Transformation Matrix for 2D Games

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    This tutorial will introduce the Transformation Matrix, one of the standard technique to translate, rotate and scale 2D graphics. The first part of this series, A Gentle Primer on 2D Rotations, explaines some of the Maths that is be used here.

  • Recreational Maths in Python

    Recreational Maths in Python

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    This post is for all the developers and mathematicians out there that are curious to explore and visualize the bizarre properties of numbers. Although Maths plays an important role in today’s technology, many people likes to abuse it for recreational purposes. Part of the appeal of Recreational Maths lies in the challenge to discover something new. Despite what many believe, finding mathematical patterns is very easy; it’s…

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