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Gaussian/Normal Distributions

Christopher Lum
99 min
Beginner
Video
Theory

In this video we discuss the Gaussian (AKA Normal) probability distribution function. We show how it relates to the error function (erf) and discuss how to ...

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Introduction to Bode Plots

Christopher Lum
42 min
Beginner
Video
Theory

In this video we introduce the concept of Bode plots including what they represent, how they are generated, as well as how to use Matlab tools to work with B...

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Parseval's Theorem

Steve Brunton
5 min
Intermediate
Video
Theory

Parseval's theorem is an important result in Fourier analysis that can be used to put guarantees on the accuracy of signal approximation in the Fourier domain.

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Derivation of Rodrigues’ Rotation Formula

Christopher Lum
43 min
Intermediate
Video
Theory

In this video we explain and derive Rodrigues’ Rotation Formula. This functions describes how to rotate an arbitrary vector about another arbitrary axis of rotation. This has applications to...

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Linear Systems [Control Bootcamp]

Steve Brunton
24 min
Beginner
Video
Theory

Linear systems of ordinary differential equations are analyzed using eigenvalues and eigenvectors. This will be the mathematical foundation of this bootcamp on linear control theory.

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Types of Machine Learning 1

Steve Brunton
6 min
Beginner
Video
Theory

This lecture gives an overview of the main categories of machine learning, including supervised, un-supervised, and semi-supervised techniques, depending on the availability of expert labels...

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Controllability [Control Bootcamp]

Steve Brunton
32 min
Beginner
Video
Theory

This lecture explores when a linear system is controllable. We begin with the simple test in terms of the rank of the controllability matrix on a few intuitive examples.

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