Harmonic Functions
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Khan Academy
Harmonic Functions
If the Laplacian of a function is zero everywhere, it is called Harmonic. Harmonic functions arise all the time in physics, capturing a certain notion of \"stability\", whenever one point in space is influenced by its neighbors.
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Explaining The Universe on Instagram: "A complex harmonic motion is created by adding (superposing) multiple sine waves together, each with its own amplitude, frequency, and phase. Because sine waves are the most basic form of periodic motion—pure, smooth oscillations—any more complicated vibration can be built by stacking them on top of each other. This idea is called superposition and is the foundation of Fourier analysis. • #explore #reels #explaining #viral #universe #space"
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