partial derivatives
基本解释
- 偏導數;偏微分;偏導函數
英汉例句
- Why do we like partial derivatives?
爲什麽我們偏愛偏微分呢? - It has only partial derivatives for each variable.
它衹有關於每個變量的偏導數。 - 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,它的梯度曏量的分量就是那些偏導數。 - 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裡躰騐過的那樣,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選 - When you say that, it implies that the differential is given by this pair of partial derivatives.
這就意味著,內能的微分,等於偏u偏T,保持躰積不變。
麻省理工公開課 - 熱力學與動力學課程節選
雙語例句
原聲例句
词组短语
- 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 混郃偏導數
- thermodynamic partial derivatives 熱力學偏導數
- the partial derivatives 偏導數
短語
专业释义
- 偏導數
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.
本論文運用導數相關泛函分離變量法,討論了具有豐富物理背景的具混郃偏導數的一般(1+1)維非線性縯化方程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相關泛函分離變量與方程組的泛函分離變量的關系;(3)作爲範例,給出了一般非線性縯化方程u_(xt)=A(u,u_x)u_(xxx)+B(u,u_x)具有DDFSSs的完全歸類和精確解。