查询词典 equation

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。

The particle motion differential equation is analysed detailedly and the three-dimensional direct numerical method of particle motion differential equation is established.

论文对颗粒运动微分方程进行详细的分析讨论，建立了三维颗粒运动微分方程的直接模拟数值方法。

The quaternion calculation for spacecraft attitude determination is investigated in this paper,including the transformation between quaternion and the direction cosine matrix,the quaternion differential equation,the selection of time steps for integrating the quaternion equation,and the compensation methods for the noncommutativity error in high dynamic motion.

介绍了四元数计算中的相关问题，包括四元数与方向余弦阵之间的转换、四元数运动方程、求解四元数运动方程时积分步长的选取和高动态应用中非互易误差的补偿，此外还介绍了对偶四元数的发展。

Using the directional derivative formula, the governing equation is discreted in the physical domain in which a nonorthogonal grid system is used. Two kinds of AF2 schemes, i. e. AF2-plane relaxation and full implicit AF2, for the TSD equation are proposed. Numerical results show that the full implicit AF2 scheme converges faster than AF2plane relaxation scheme. For the rectangular wing and swept wing, the results of the present method are compared with FP results, and the agreement is good.

采用适合于梯形机翼和后掠机翼的斜网格，利用方向导数公式直接在物理空间对主管方程进行离散；将近似因式分解方法应用于绕机翼的跨音速小扰动势流问题，提出AF2—面松弛和AF2全隐式两种迭代格式，并对它们的收敛速度进行比较，结果表明后者明显快于前者；直机翼和后掠机翼的算例表明，本文方法的结果与精确势流方法的结果吻合良好。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。