d'Alembert's formula

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English

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d'Alembert's formula

Etymology

Named after the French physicist and mathematician Jean le Rond d'Alembert, who derived it in 1747.

Proper noun

d'Alembert's formula

(mathematics) The general solution to the one-dimensional wave equation $u_{tt}-c^{2}u_{xx}=0,\,u(x,0)=g(x),\,u_{t}(x,0)=h(x),$ for $-\infty <x<\infty ,\,\,t>0$ .

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