❖ Orthogonal Set of Functions (Fourier Series) ❖
Orthogonal Sets of Functions and Fourier Series
In this video, we define an orthogonal set of functions and work through an example to show that a given set of trigonometric functions forms an orthogonal set over a specified interval. This particular set is significant because it appears in the context of Fourier series. Understanding orthogonality is key to decomposing functions into Fourier series and analyzing periodic functions effectively.
What You Will Learn:
The definition of an orthogonal set of functions.
How to verify that a set of functions is orthogonal over a specific interval.
The importance of orthogonal functions in the development of Fourier series.
A step-by-step example involving trigonometric functions.
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