![]() If a graph is drawn to show the function corresponding to the total sound of two strings, it can be seen that maxima and minima are no longer constant as when a pure note is played, but change over time: when the two waves are nearly 180 degrees out of phase the maxima of one wave cancel the minima of the other, whereas when they are nearly in phase their maxima sum up, raising the perceived volume. This phenomenon is best known in acoustics or music, though it can be found in any linear system: "According to the law of superposition, two tones sounding simultaneously are superimposed in a very simple way: one adds their amplitudes". ![]() Constructive and destructive interference can be seen. The two waves are initially identical, then the frequency of the green wave is gradually increased by 25%. ![]() The sum (blue) of two sine waves (red, green) is shown as one of the waves increases in frequency. ![]()
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