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partial derivatives

P 开头单词

基本解释

  • 偏导数;偏微分;偏导函数

英汉例句

    双语例句

  • Why do we like partial derivatives?
    为什么我们偏爱偏微分呢?
  • It has only partial derivatives for each variable.
    它只有关于每个变量的偏导数。
  • For example, if we have a function of three variables, the vector whose components are the partial derivatives.
    例如我们有一个三元函数,它的梯度向量的分量就是那些偏导数。
  • 原声例句

  • This should be particularly bothersome to you because, as you've already experienced in 5.60, There are a lot of partial derivatives.
    对你们来说这可能很让人头疼,就像你们在5。60里体验过的那样,这有很多偏微分和变量。
    麻省理工公开课 - 热力学与动力学课程节选
  • When you say that, it implies that the differential is given by this pair of partial derivatives.
    这就意味着,内能的微分,等于偏u偏T,保持体积不变。
    麻省理工公开课 - 热力学与动力学课程节选

词组短语

    短语

  • the partial time derivatives 部分时间衍生物;衍生工具的部分时间
  • ratio of partial derivatives 偏微商比值
  • mixed partial derivatives 混合偏导数
  • thermodynamic partial derivatives 热力学偏导数
  • the partial derivatives 偏导数

专业释义

    数学

  • 偏导数

    In this paper, we have applied the derivative-dependent functional variableseparation approach to discuss the following (1+1)-dimensional nonlinear evolution equation with mixed partial derivatives which has certain physical contexts:E≡E(t,x,u,u_1,u_2,…,U_m,U_(1t),U_(2t),…,U_(nt))=0.we have obtained some important results:(1) We have proposed the new theory of the derivative-dependent functionalvariable separation for the (1+1)-dimensional nonlinear evolution equationwith mixed partial derivatives;(2)We have constructed a relation between the derivative-dependent functionalvariable separation for the above class of equations and the functional variable separation for whose corresponding systems of PDEs;(3)As an application, we have obtained complete classification of the general nonlinear evolution equations u_(xt)=A(u,u_x)u_(xxx)+B(u,u_x) that admit DDFSSsand some DDFSSs.
    本论文运用导数相关泛函分离变量法,讨论了具有丰富物理背景的具混合偏导数的一般(1+1)维非线性演化方程E≡E(t,x,u,u_1,u_2,…,U_m,U_(1t),U_(2t),…,U_(nt))=0.得到了一些有意义的结果:(1)建立了该类型方程的导数相关泛函分离变量的一般理论;(2)建立了该类型方程的导数相关泛函分离变量与方程组的泛函分离变量的关系;(3)作为范例,给出了一般非线性演化方程u_(xt)=A(u,u_x)u_(xxx)+B(u,u_x)具有DDFSSs的完全归类和精确解。

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