Laplace's equation is a partial differential equation, of the second order. It is named after Pierre-Simon Laplace, an 18th century mathematician who first described it. One of the uses of the equation is to predict the conduction of heat, another to model the conduction of electricity.= = = Gene Tierney = = =
l æ p l eɪ s ɪ z WORD_BOUNDARY ɪ k w eɪ ʒ ə n WORD_BOUNDARY ɪ z WORD_BOUNDARY ʌ WORD_BOUNDARY p ɑ ɹ ʃ ə l WORD_BOUNDARY d ɪ f ə ɹ ɹ ɛ n ʃ ə l WORD_BOUNDARY ɪ k w eɪ ʒ ə n WORD_BOUNDARY ʌ v ð ə WORD_BOUNDARY s ɛ k ə n d WORD_BOUNDARY ɔ ɹ d ə ɹ ɹ WORD_BOUNDARY ɪ t WORD_BOUNDARY ɪ z WORD_BOUNDARY n eɪ m d WORD_BOUNDARY æ f t ə ɹ WORD_BOUNDARY p ɪ ɛ ɹ s aɪ m ə n WORD_BOUNDARY l æ p l eɪ s WORD_BOUNDARY ʌ n WORD_BOUNDARY eɪ t iː n θ WORD_BOUNDARY s ɛ n t̠ʃ ə ɹ ɹ i WORD_BOUNDARY m æ θ ɪ m ʌ t ɪ ʃ ə n WORD_BOUNDARY h uː WORD_BOUNDARY f ɜː s t WORD_BOUNDARY d ɪ s k ɹ aɪ b d WORD_BOUNDARY ɪ t WORD_BOUNDARY w ʌ n WORD_BOUNDARY ʌ v ð ə WORD_BOUNDARY j uː s ɪ z WORD_BOUNDARY ʌ v ð ɪ WORD_BOUNDARY ɪ k w eɪ ʒ ə n WORD_BOUNDARY ɪ z WORD_BOUNDARY t ə WORD_BOUNDARY p ɹ ɪ d ɪ k t WORD_BOUNDARY ð ə WORD_BOUNDARY k ə n d ʌ k ʃ ə n WORD_BOUNDARY ʌ v WORD_BOUNDARY h iː t WORD_BOUNDARY ʌ n ʌ ð ə ɹ WORD_BOUNDARY t ə WORD_BOUNDARY m ɑ d ə l WORD_BOUNDARY ð ə WORD_BOUNDARY k ə n d ʌ k ʃ ə n WORD_BOUNDARY ʌ v WORD_BOUNDARY ɪ l ɛ k t ɹ ɪ s ɪ t i WORD_BOUNDARY iː k w ə l z WORD_BOUNDARY iː k w ə l z WORD_BOUNDARY iː k w ə l z WORD_BOUNDARY d̠ʒ iː n WORD_BOUNDARY t ɪ ɹ n i WORD_BOUNDARY iː k w ə l z WORD_BOUNDARY iː k w ə l z WORD_BOUNDARY iː k w ə l z WORD_BOUNDARY