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The Fourier Transform and Derivatives

Steve Brunton
10 min
Beginner
Video
Theory

This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations.

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Simple Examples of PID Control

Brian Douglas
13 min
Beginner
Video
Theory

In this video I continue the topic of PID control. We walk through a simple control system and visualize how each of the three paths, P, I, and D, all address specific problems that arise...

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State Space to Transfer Function

Christopher Lum
48 min
Beginner
Video
Theory

In this video we show how to transform a linear state space representation of a dynamic system to an equivalent transfer function representation. We will de...

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Routh-Hurwitz Criterion, Beyond Stability

Brian Douglas
11 min
Beginner
Video
Theory

This video explains of few uses of the Routh-Hurwitz Criterion that go beyond simply determining how many poles exist in the right half plane. I cover how to determine gain margin and how...

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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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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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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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