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| ==Related concepts== | | ==Related concepts== |
− | | + | 相关概念 |
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| * A [[delay differential equation]] (DDE) is an equation for a function of a single variable, usually called '''time''', in which the derivative of the function at a certain time is given in terms of the values of the function at earlier times. | | * A [[delay differential equation]] (DDE) is an equation for a function of a single variable, usually called '''time''', in which the derivative of the function at a certain time is given in terms of the values of the function at earlier times. |
| + | 延迟微分方程(DDE)是一元函数的方程,变量通常为时间,其中,对于某些较早时间点,会给出函数的导数值。 |
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| *An [[integro-differential equation]] (IDE) is an equation that combines aspects of a differential equation and an [[integral equation]]. | | *An [[integro-differential equation]] (IDE) is an equation that combines aspects of a differential equation and an [[integral equation]]. |
| + | 积分微分方程(IDE)结合了微分方程和积分方程。 |
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| * A [[stochastic differential equation]] (SDE) is an equation in which the unknown quantity is a [[stochastic process]] and the equation involves some known stochastic processes, for example, the [[Wiener process]] in the case of diffusion equations. | | * A [[stochastic differential equation]] (SDE) is an equation in which the unknown quantity is a [[stochastic process]] and the equation involves some known stochastic processes, for example, the [[Wiener process]] in the case of diffusion equations. |
| + | 随机微分方程(SDE)中的未知量是处于随机过程,并且该方程涉及一些已知的随机过程,例如,扩散方程中的维纳过程。 |
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| *A [[stochastic partial differential equation]] (SPDE) is an equation that generalizes SDEs to include space-time noise processes, with applications in [[quantum field theory]] and [[statistical mechanics]]. | | *A [[stochastic partial differential equation]] (SPDE) is an equation that generalizes SDEs to include space-time noise processes, with applications in [[quantum field theory]] and [[statistical mechanics]]. |
| + | 随机偏微分方程(SPDE)是一种包含有空间时间噪声过程的广义随机微分方程,它通常应用于量子场论以及统计力学中。 |
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| * A [[differential algebraic equation]] (DAE) is a differential equation comprising differential and algebraic terms, given in implicit form. | | * A [[differential algebraic equation]] (DAE) is a differential equation comprising differential and algebraic terms, given in implicit form. |
− | | + | 微分代数方程(DAE)是一种包含微分和代数项的微分方程,以隐式形式给出。 |
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| ==Connection to difference equations== | | ==Connection to difference equations== |