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The Fourier series is a powerful tool that can be used to represent a function as a series of periodic curves. In this video, the presenter explains the concept behind the series and how it can be used to calculate frequency and period. He also shows how the series can be used to create a pattern.

**00:00:00**In this video, the presenter explains the concept of series of Fourier, which is a powerful tool for engineers. Series of Fourier can be used to represent a function as a series of periodic curves. If certain conditions are met, the series can be described by a Julian series. Finally, the presenter shows how to use series of Fourier to calculate frequency and period.**00:05:00**Fourier analyzed the periodic behavior of a function and proved that it can be represented by adding a certain number of sinusoidal functions of different frequencies. This insight is used to approximate a curve representing the function. The type explains that, if you're trying to represent a function with a series of Fourier transforms, it's important to pick appropriate frequencies and amplitudes, as well as discontinuities in the function.**00:10:00**In this video, Fourier discusses the intuition behind his series, which is based on the idea of continuous functions. He then goes on to explain how to calculate a series using discontinuous terms, and shows how this can be used to create a pattern. Finally, he discusses how intuition can be applied to real-world situations.

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