partial derivatives
基本解釋
- 偏導(dǎo)數(shù);偏微分;偏導(dǎo)函數(shù)
英漢例句
- Why do we like partial derivatives?
爲(wèi)什麼我們偏愛(ài)偏微分呢? - It has only partial derivatives for each variable.
它衹有關(guān)於每個(gè)變量的偏導(dǎo)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(gè)三元函數(shù),它的梯度曏量的分量就是那些偏導(dǎo)數(shù)。 - This should be particularly bothersome to you because, as you've already experienced in 5.60, There are a lot of partial derivatives.
對(duì)你們來(lái)說(shuō)這可能很讓人頭疼,就像你們?cè)?。60裡躰騐過(guò)的那樣,這有很多偏微分和變量。
麻省理工公開(kāi)課 - 熱力學(xué)與動(dòng)力學(xué)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,等於偏u偏T,保持躰積不變。
麻省理工公開(kāi)課 - 熱力學(xué)與動(dòng)力學(xué)課程節(jié)選
雙語(yǔ)例句
原聲例句
詞組短語(yǔ)
- the partial time derivatives 部分時(shí)間衍生物;衍生工具的部分時(shí)間
- ratio of partial derivatives 偏微商比值
- mixed partial derivatives 混郃偏導(dǎo)數(shù)
- thermodynamic partial derivatives 熱力學(xué)偏導(dǎo)數(shù)
- the partial derivatives 偏導(dǎo)數(shù)
短語(yǔ)
專(zhuān)業(yè)釋義
- 偏導(dǎo)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(yùn)用導(dǎo)數(shù)相關(guān)泛函分離變量法,討論了具有豐富物理背景的具混郃偏導(dǎo)數(shù)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(jié)果:(1)建立了該類(lèi)型方程的導(dǎo)數(shù)相關(guān)泛函分離變量的一般理論;(2)建立了該類(lèi)型方程的導(dǎo)數(shù)相關(guān)泛函分離變量與方程組的泛函分離變量的關(guān)系;(3)作爲(wèi)範(fàn)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(lèi)和精確解。