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词汇 Riccati
释义

Definition of Riccati in English:

Riccati

(also Ricatti, Riccatti)
noun rɪˈkati
Mathematics
  • Attributive, in the genitive, and with of. Designating certain kinds of differential equation; specifically a first-order non-linear differential equation of the form dy/dx = P(x)y 2 + Q(x)y + Z(x), which can be reduced to a second-order linear differential equation.

Origin

Late 18th century; earliest use found in The Monthly Review. From the name of Count Jacopo Francesco Riccati, Italian mathematician, who published the first equation of this type, after French equation de Riccati (d'Alembert 1774).

Definition of Riccati in US English:

Riccati

(also Ricatti, Riccatti)
nounrɪˈkati
Mathematics
  • Attributive, in the genitive, and with of. Designating certain kinds of differential equation; specifically a first-order non-linear differential equation of the form dy/dx = P(x)y 2 + Q(x)y + Z(x), which can be reduced to a second-order linear differential equation.

Origin

Late 18th century; earliest use found in The Monthly Review. From the name of Count Jacopo Francesco Riccati, Italian mathematician, who published the first equation of this type, after French equation de Riccati (d'Alembert 1774).

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