查询词典 partial differential equation of first order

On the one hand, Lagrange hit upon the new idea to redefine the complete integral when he was inspired by his study on the first-order partial differential equation with the method of variation of constants.

在分析、比较欧拉和拉格朗日完全积分定义的基础上，依据原始文献，重点考究了拉格朗日重新定义偏微分方程完全积分的原因和动机。

In view of the non-linear relation between the hefts of the partial stress tensor and the velocity gradient of the fluid, the intrinsic equation only depends on the first order differential coefficient of the velocity gradient.

考虑流体的偏应力张量分量与速度梯度为非线性关系的情况，本构方程仅依赖于速度梯度的一阶导数。

In order to study the primary resonance and primary parametric resonance of a rectangular deck plate subject to harmonic disturbances in temperature field, by applying elastic theory, a nonlinear dynamical equation in partial differential form for the plate is established first. Then the nonlinear vibration equation in ordinary differential form is obtained based on Galerkin's method.

为了研究温度场中桥面矩形薄板受简谐激励的主共振－主参数共振问题，应用弹性力学理论建立其动力学方程，应用Galerkin方法将其转化为非线性振动方程。

The paper has used concise methods of logical analysis and reasoning to describe the relation between the first-order quasilinear partial differential equation and its system of characteristic equation.

对一阶拟线性偏微分方程与其特征方程组的关系，文中给出了简洁的逻辑分析和推导方法。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。