sinusoidal function in a sentence

However, by looking at a graph of them, your intuition might suggest, say, a linear or sinusoidal function may be possible, and then it's a case of finding the right parameters.
In the article simple harmonic motion, the article says " solving the differential equation above produces a solution that is a sinusoidal function . " However, I have never seen this proven anywhere in my classes.
And a sound wave could be modelled by making one boundary ( or wall ) of the container vibrate with, say, a sinusoidal function of time, thus creating a pressure wave that propogates through the gas.
Of course, the tides go according to a sinusoidal function, but both the gravitational effects of the Moon and the Sun affect tidal water levels, so therefore, the function of water levels would be in this form:
In electrical engineering, signal processing, and similar fields, signals that vary periodically over time are often described as a combination of sinusoidal functions ( see Fourier analysis ), and these are more conveniently expressed as the sum of exponential functions with imaginary exponents, using Euler's formula.

When confronted by a periodically varying function, the standard approach is to employ Fourier series, a form of analysis that uses sinusoidal functions as a " basis " set, having frequencies that are zero, one, two, three, etc . times the frequency of a particular fundamental cycle.

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