Periodic Function | Definition, Modeling & Examples
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Periodic Function | Definition, Modeling & Examples
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Triangular functions are a group of periodic mathematical functions that model repeating patterns found in both nature and engineering. They are closely related to trigonometric functions like sine and cosine, but instead of being smooth and curved, triangular functions form straight-line segments that rise and fall linearly, creating a sawtooth-like or “triangular” wave shape. A basic triangular wave increases linearly from a minimum to a maximum value and then decreases back to the minimum, re
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Fourier series provide a powerful way to represent complicated periodic functions as infinite sums of simple sine and cosine waves. The central idea is that any reasonably well-behaved periodic function can be decomposed into a weighted combination of oscillations with different frequencies, amplitudes, and phases. These basic waves act like building blocks: low-frequency terms capture the overall shape of the function, while higher-frequency terms refine its details. Mathematically, the coeffic
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