Maths

There are 45 posts filed in Maths (this is page 2 of 5).

Linear Interpolation

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 a link to download the C# scripts and the Unity package used at the end of this post.

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Inverse Kinematics in 3D

This tutorial will teach you how to master inverse kinematics in 3D: the technique that solves the problem of moving a robotic arm to reach for a specific target.

You can read the rest of this online course here:

A link to download the entire Unity package can be found at the end of this tutorial.

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Improving Floating-Point Precision in C#

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.

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An Introduction to Floating-Point Arithmetic

This tutorial will introduce you to floating-point arithmetic, and how many modern languages—C# included—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.

Continue reading →

From an Outbreak to an Epidemic

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 can be used to explore different mechanisms of transmission, and possible interventions.

This online course is inspired by the recent COVID-19 pandemic. Now more than ever we need skilled and passionate people to focus on the complex subject of Epidemiology. I hope these articles will help some of you to get started.

All the revenue made from this article through Patreon will be donated to the National Emergencies Trust (NET) to help those most affected by the recent coronavirus outbreak. If you have recently become a patron for this reason, get in touch and I will add your contribution.

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The Mathematics of Epidemics

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 we need skilled and passionate people to focus on the complex subject of Epidemiology. I hope these articles will help some of you to get started.

All the revenue made from this article through Patreon will be donated to the National Emergencies Trust (NET) to help those most affected by the recent coronavirus outbreak. If you have recently become a patron for this reason, get in touch and I will add your contribution.

Become a Patron!

Continue reading →

Inverse Kinematics in 2D – Part 1

If you have been following this blog for a while, you might have noticed some recurring themes. Inverse Kinematics is definitely one them, and I have dedicated an entire series on how to apply it to robotic arms and tentacles. If you have not read them, do not fear: this new series will be self-contained, as it reviews the problem of Inverse Kinematics from a new perspective.

You can read the rest of this online course here:

A follow-up that focuses on 3D is also available:

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Atmospheric Scattering Shader

This tutorial finally concludes our journey to simulate Rayleigh Scattering for a planet’s atmosphere.

The next (and final) part will show how to change the shader to also include an additional type of scattering, known as Mie Scattering.

You can find all the post in this series here:

You can download the Unity package for this tutorial at the bottom of the page.

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A Journey Through the Atmosphere

This post describes how to model the density of the atmosphere at different altitude. This is a critical step, since the atmospheric density is one of the parameters necessary to correctly calculate the Rayleigh scattering.

You can find all the post in this series here:

You can download the Unity package for this tutorial at the bottom of the page.

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