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Least Squares Regression and the SVD

Steve Brunton
5 min
Beginner
Video
Theory

This video describes how the SVD can be used to solve linear systems of equations. In particular, it is possible to solve nonsquare systems (overdetermined or underdetermined) via least...

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Bode Plot Drawing Tool

Erik Cheever
Intermediate
Article / Blog
Demonstration

This page demonstrates the techniques described previously to take a transfer function defined by the user, identify the constituent terms, draw the individual Bode plots, and then combine...

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crash course on complex numbers

Iman Moazzen
10 min
Beginner
Video
Theory

In this video, we quickly review “Complex Numbers”. The following materials are covered:1- Cartesian and polar representation of complex numbers2- how to con...

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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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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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Understanding PID Controller

Jay Mistry
13 min
Beginner
Article / Blog
Theory

This blog post begins by walking through the basics and the theoretical part of the PID controllers.  The controller is then tested, verified, and analyzed using MATLAB.

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