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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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The Discrete Fourier Transform (DFT)

Steve Brunton
17 min
Beginner
Video
Application

This video introduces the Discrete Fourier Transform (DFT), which is how to numerically compute the Fourier Transform on a computer. The DFT, along with its fast FFT implementation, is one...

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Particle Filter Explained without Equations

Andreas Svensson
7 min
Beginner
Video
Theory

This video provides a quick graphical introduction to the particle filter. It does a good job building some intuition behind the filter without ever touching on any mathematics. It's worth a...

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Relative Gain Array RGA Analysis

Vincent Stevenson
6 min
Beginner
Video
Theory

I cover how you can find the relative gain array from the steady state gain array, and interpret the results to determine which input to pair with which outp...

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Posicast Control - 1 ( In English)

Paulo Moura Oliveira
11 min
Beginner
Video
Theory

This video is an introduction to a learning journey about Posicast Control structured as follows: - Preface - Motivation - Introduction to Posicast Control - Half-Cycle Posicast

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State Space in Process Control

Vincent Stevenson
10 min
Beginner
Video
Theory

An overview on how we can derive a state space model from a given set of state variables and inputs, as well as an intro to deviation variables. This is part...

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Principal Component Analysis (PCA)

Steve Brunton
13 min
Beginner
Video
Theory

Principal component analysis (PCA) is a workhorse algorithm in statistics, where dominant correlation patterns are extracted from high-dimensional data.

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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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Fourier Analysis: Overview

Steve Brunton
7 min
Beginner
Video
Theory

This video presents an overview of the Fourier Transform, which is one of the most important transformations in all of mathematical physics and engineering. This series will introduce the...

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