Combining Functions to Write a New Function that Models a Real-World Situation | Algebra | Study.com
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Combining Functions to Write a New Function that Models a Real-World Situation | Algebra | Study.com
Learn how to combine functions to write a new function that models a real-world situation, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.
Jun 15, 2021
Combining Functions Math
Fourier series allow us to approximate complex periodic functions, like the square wave, by summing simple sine waves. As more terms (harmonics) are added to the series, the approximation becomes increasingly accurate. The square wave, which has sharp transitions, can be closely mimicked by combining enough sine waves with carefully chosen frequencies and amplitudes. This process beautifully demonstrates how smooth functions can build up sharp, structured patterns. 📌Support us - Like/Share/Foll
Fourier series allow us to approximate complex periodic functions, like the square wave, by summing simple sine waves. As more terms (harmonics) are added to the series, the approximation becomes increasingly accurate. The square wave, which has sharp transitions, can be closely mimicked by combining enough sine waves with carefully chosen frequencies and amplitudes. This process beautifully demonstrates how smooth functions can build up sharp, structured patterns. 📌Support us - Like/Share/Foll
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