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What is Orthogonality in Fourier Series about?

1. The document discusses the orthogonality of trigonometric basis functions like cosine and sine and shows that cosine and sine series are needed to represent arbitrary periodic functions. 2. It defines the Fourier series expansion of a piecewise smooth function f(θ) in terms of cosine and sine series and shows how the full Fourier series combines these. 3. Examples are given of the Fourier series for some simple even and odd functions like f(θ)=1 and f(θ)=θ to illustrate the properties of the Fourier

Author

Serdar Bilge

Language

EN