partial derivatives

基本解釋

• 偏導數(shù)；偏微分；偏導函數(shù)

英漢例句

雙語例句

• Why do we like partial derivatives?
  為什么我們偏愛偏微分呢？
• It has only partial derivatives for each variable.
  它只有關于每個變量的偏導數(shù)。
• For example, if we have a function of three variables, the vector whose components are the partial derivatives.
  例如我們有一個三元函數(shù)，它的梯度向量的分量就是那些偏導數(shù)。

原聲例句

• This should be particularly bothersome to you because, as you've already experienced in 5.60, There are a lot of partial derivatives.
  對你們來說這可能很讓人頭疼，就像你們在5。60里體驗過的那樣，這有很多偏微分和變量。
  麻省理工公開課 - 熱力學與動力學課程節(jié)選
• When you say that, it implies that the differential is given by this pair of partial derivatives.
  這就意味著，內(nèi)能的微分,等于偏u偏T，保持體積不變。
  麻省理工公開課 - 熱力學與動力學課程節(jié)選

• partial derivatives更多例句

詞組短語

短語

• the partial time derivatives 部分時間衍生物;衍生工具的部分時間
• ratio of partial derivatives 偏微商比值
• mixed partial derivatives 混合偏導數(shù)
• thermodynamic partial derivatives 熱力學偏導數(shù)
• the partial derivatives 偏導數(shù)

• partial derivatives更多詞組

專業(yè)釋義

數(shù)學

• 偏導數(shù)

  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.
  本論文運用導數(shù)相關泛函分離變量法，討論了具有豐富物理背景的具混合偏導數(shù)的一般(1+1)維非線性演化方程E≡E(t，x，u，u_1，u_2，…，U_m，U_(1t)，U_(2t)，…，U_(nt))=0．得到了一些有意義的結果：(1)建立了該類型方程的導數(shù)相關泛函分離變量的一般理論；(2)建立了該類型方程的導數(shù)相關泛函分離變量與方程組的泛函分離變量的關系；(3)作為范例，給出了一般非線性演化方程u_(xt)=A(u，u_x)u_(xxx)+B(u，u_x)具有DDFSSs的完全歸類和精確解。