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Fourier Series: Part 1

Steve Brunton
12 min
Beginner
Video
Theory

This video will show how to approximate a function with a Fourier series, which is an infinite sum of sines and cosines. We will discuss how these sines and cosines form a basis for the...

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Routh Array and Stability

Vincent Stevenson
7 min
Beginner
Video
Theory

I show how we can find the range of allowed controller gains for a system that will allow us to maintain stability using a Routh Array.

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Understanding The Sensitivity Function

Brian Douglas
13 min
Beginner
Video
Theory

In this video I explain the sensitivity function and try to demystify the equation used to solve for the nominal sensitivity peak. Sensitivity describes how much process variations affect...

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Derivation of the Heat Equation

Christopher Lum
31 min
Beginner
Video
Theory

In this video, we derive the heat equation. This partial differential equation (PDE) applies to scenarios such as the transfer of heat in a uniform, homogen...

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Euler (Gimbal Lock) Explained

GuerrillaCG
8 min
Beginner
Video
Theory

In this video we explore Euler Rotations, the most common method for orienting objects in 3d. It's by-product "gimbal lock" can cause headaches for animators because the animated motion can...

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Process Control Introduction

Vincent Stevenson
14 min
Beginner
Video
Theory

An overview on state variables, inputs (manipulated and disturbance variables), outputs (measured state variables), and an example on the balance equations w...

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