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Triangular functions are periodic mathematical functions that model repeating linear patterns found in nature and engineering. Unlike smooth trigonometric functions such as sine and cosine, triangular functions consist of straight-line segments that rise and fall linearly, forming a triangular or sawtooth-like wave. Mathematically, they can be defined using piecewise linear equations or expressed as Fourier series of sine terms. Their simplicity and harmonic richness make them useful in signal p