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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Simulating Epidemics

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 ways to simulate epidemics. While the code here presented is in C# and runs in Unity, the knowledge can be applied to virtually any other language or engine.

You can read the rest of this online course here:

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!

And if you are interested in learning more about the virus responsible for the COVID-19 epidemics, SARS-CoV-2, have a look at the semi-serious video down below.

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Understanding the Technology Behind DeepFakes

You can read all the posts in this series here:

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An Introduction to Neural Networks and Autoencoders

You can read all the posts in this series here:

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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 refer to the Atmospheric Scattering Cheatsheet for a complete reference of all the equations used.

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

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The Mathematics of Rayleigh Scattering

This post introduces the Mathematics of Rayleigh Scattering, which is the optical phenomenon that causes the sky to appear blue. The equations derived in this tutorial will be translated into shader code in the next tutorial.

You can find all the post in this series here:

You can refer to the Atmospheric Scattering Cheatsheet for a complete reference of all the equations used.

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

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The Theory Behind Atmospheric Scattering

This is the second part of the tutorial on volumetric atmospheric scattering. In this post we will start deriving the equations that govern this complex, yet beautiful optical phenomenon.

You can find all the post in this series here:

You can refer to the Atmospheric Scattering Cheatsheet for a complete reference of all the equations used.

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

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Volumetric Atmospheric Scattering

If you have lived long enough on planet Earth, you might have wondered why the sky is usually blue, yet red at sunset. The optical phenomenon which is (mostly) responsible for that is called Rayleigh scattering. This tutorial will explain how to model atmospheric scattering to reproduce many of the visual effects that planets exhibit. And if you want to render physically accurate visuals for alien planets, this is definitely the tutorial you’ve been looking for.

You can find all the post in this series here:

You can refer to the Atmospheric Scattering Cheatsheet for a complete reference of all the equations used.

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

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The Mathematics of Diffraction Grating

This post introduces the mathematics behind the optical phenomenon known as diffraction grating, which is responsible for iridescent reflections in many materials.

You can find the complete series here:

A link to download the Unity project used in this series is also provided at the end of the page.

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Understanding Diffraction Grating

The first post in this series, The Nature of Light, introduced the dual nature of light, exhibiting behaviours which are typical of both waves and particles. In this part, we will see how those two aspects are both necessary for iridescence to arise.

You can find the complete series here:

A link to download the Unity project used in this series is also provided at the end of the page.

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