查询词典 algebraic equation

Considering that the temperature gradient through thickness is much higher than that through width and length of plate, in this model, the governing equation of heat transfer was simplified as a one dimensional differential equation, and the series function solution for temperature is established in Lagrangian coordinate setting.

在该模型中，考虑到轧件厚度方向的温度梯度远大于沿宽度和长度方向的温度梯度，因而将热传导方程简化为一维微分方程，基于拉格朗日坐标建立了温度场的级数解法。

The proposed methods avoid the Riccati equation and Diophantine equation and can reduce the on-line computational burden.

本文提出的方法避免了求解Riccati方程和Diophantine方程，减小在线计算负担。

Diophantine equation is an old problem, especially, its more difficult to apply primary method to resolve the problems related to Diophantine equation.

不定方程是一个古老的丢番图问题，特别是应用初等方法去解决不定方程的有关问题更是不宜；许多解法很简单也易看懂，但却不宜想到。

Diophantine equation is an old problem, especially; it's more difficult to apply primary method to resolve the problems related to Diophantine equation. There are many solutions, which are very simple and also easy to understand, but hard to think out.

不定方程是一个古老的丢番图问题，特别是应用初等方法去解决不定方程的有关问题更是不易；许多解法很简单也易看懂，但却不易想到。

There are many solutions, which are very simple and also easy to understand, but hard to think out. Another name of indeterminate equation is Diophantine equation, its an important branch of the number theory, and also the most active in the field of mathematics through the whole history.

不定方程又称为丢番图方程，是数论的重要分支学科，是历史上最活跃的数学领域之一。1980年，著名的数学家柯召和孙琦在我国出版了第一部专门研究不定方程的专著《谈谈不定方程》。

We also give some conservation and convergence analysis for the Dirac equation and the Korteweg-de Vries equation.

在第七章中，我们建立了全直线上不带权的Legendre有理谱逼近，并以Dirac方程作为实例，证明了谱格式的守恒性和收敛性。数值结果表明了算法是有效的。

The main advantages of using the Dirac equation in a description of electrons are the following:(1) The Dirac equation is compatible with the theory of relativity (2) it describes the spin of the electron and its magnetic moment in a completely natural way.

在电子的描述中用Dirac方程描述主要优势有：（1）Diarc方程同相对论理论是一致的；（2）它很自然地描写了电子自旋和自旋磁矩。

After that, According to the induced-matter idea, we study the generalizational method of 5D Dirac equation, and point out that Dirac equation isn't formally generalized in principle because the wave function of Dirac field is multiple component matrix form.

随后，我们从诱生物质思想出发，研究Dirac方程的五维推广方案，指出由于描述Dirac粒子的波函数是多分量的矩阵形式，原则上不能只依靠单纯的形式推广。

At first, we introduce in detail relativistic mean-field theory, where a common Lagrangian density is presented. Starting with this Lagrangian density, we can obtain the Dirac equation and Klein-Gordon equations for nucleon and meson field by using Euler-Lagrangian equation.

本文首先详细介绍了相对论平均场理论的一些公式推导，给出了常用的一般的相对论平均场的拉格朗日量，从这个拉氏量出发，利用Euler-Lagrange方程就可导出核子与介子场的运动方程。

By supposing the ion sphere model, the self-consistent field method between the Poisson-Boltzmann equation and the Dirac equation is used to calculate the energy levels of H-like neon immersed in hot and dense plasmas.

采用离子球模型，通过自洽求解Poisson方程和Dirac方程，得到氖的类氢离子低能级组态的能级能量随等离子体电子温度和电子密度的变化关系，进一步研究了等离子体电子温度和电子密度对光谱漂移的影响。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48