d'Alembert's formula

proper noun

The general solution to the one-dimensional wave equation u_tt-c^(2u_)xx=0,,u(x,0)=g(x),,u_t(x,0)=h(x), for -∞0.

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Meanings

proper noun
  1. mathematicsThe general solution to the one-dimensional wave equation u_tt-c^(2u_)xx=0,,u(x,0)=g(x),,u_t(x,0)=h(x), for -∞0.

Origin

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

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Cite this entry
APA

d'Alembert's formula. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/d'Alembert's%20formula

MLA

“d'Alembert's formula.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/d'Alembert's%20formula. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “d'Alembert's formula,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/d'Alembert's%20formula.

Source: d'Alembert's formula on Wiktionary, CC BY-SA 4.0.