查询词典 algebraic equation

The governing equation of tank wall can be expressed as a set of algebraic equations by the pseudospectral method.

采用重心Lagrange插值多项式建立未知函数的微分矩阵，将池壁的控制方程表示为代数方程组。

Based on the idea of solving nonlinear evolution equations, algebraic method, algorithm reality and mechanization, in Chapter 3, we firstly present the new generalized tanh function method, and apply it to construct the exact solutions of the (2+1)-dimensional Kadomtsev-Petviashvili equation.

第三章基于非线性发展方程求解代数化、算法化、机械化的指导思想，以吴方法和符号计算为工具，首先提出一种新的广义tanh函数方法，并将其应用于(2+1)-维Kadomtsev-Petviashvili方程的精确解构造。

According to the analysis of general sm all signal stability m ethod,the conclusion can be drawn that the algebraic- equation constraints and the coupling between state variables are responsible for the complex dynam ic behavior of the systems.

文中首先对研究系统稳定问题的小扰动方法进行了分析，认为非线性动力系统的代数方程约束和各状态量之间的耦合关系是造成系统动态特性十分复杂的重要原因，进而利用同伦函数的概念给出了一种确定线性化系统中特征值与状态变量对应关系的方法。

And trust region type algorithm with memoryless technology not only satisfies new factorized quasi-Newton equation, but also saves much storage and algebraic operations than the original factorized quasi-Newton methods.we prove it posses the global convergence and the local superlinear convergence under some condition.

本文中利用无记忆技术产生的无记忆型信赖域算法不仅满足新分解牛顿方程，具有其所有的良好性质，而且比一般的分裂拟牛顿法节省存储空间，减少计算量。本文证明了在一定假设条件下该算法具有全局收敛性及局部超线性收敛性。

On condition that there exist weak excitations in the two-component BEC, the SO (3, 2) Lie algebraic description still work. The eigenstates and energy-gap equation have been obtained.

对存在弱激发的双分量BEC，SO（3，2）代数方法仍然近似有效，我们由此求得了系统的本征态和弱激发能隙方程。

MGM is introduced to solve field distributions in 3-D electron optical systems. The difference equation, the discrete form of Laplace's equation, is deduced in 3-D Cartesian coordinates. In view of the smooth effect, MGM combines Gauss-Seidel iteration with a technique known as coarse grid correction. Formulae for restriction and prolongation are deduced and expressed in terms of tensors.

将多重网格法引入电子光学系统中三维静电场的计算，对三维笛卡尔坐标系中的差分方程，采用高斯-赛德尔迭代法求解差分方程组，并结合迭代过程讨论了粗网格的误差校正技术；在不同网格层之间进行场值的限制和延拓，推导了三维静电场中的限制、延拓公式并以张量的形式表示。

We present a simple new algorithm for the inverse Laplace transform. The applications of this new algorithm to the signal processing, the Fuoss-Kirkwood formulas for relaxation spectra, the Abel integral equation, the Fermi and Bose integral equation are also given.

提出了处理Laplace逆变换的一种简单的新算法，以及这种新算法在信号处理、Fuoss-Kirkwood弛豫谱方程、Abel积分方程、Fermi型和Bose型积分方程等方面的应用。

Based on the sliding response theory of the free-standing equipment, the differential equation of motion of the free-standing equipment under seismic excitations is presented. The equation is solved by Runge-Kutta algorithm, therefore the absolute acceleration, relative velocity and relative displacement of the equipment can be obtained. The sequential coulomb friction model is applied to the analysis.

以前人研究建立的浮放设备滑移反应分析理论为基础，给出了浮放设备在水平和竖向地震输入下滑移反应运动微分方程，选取连续型的库仑摩擦力模型，采用Runge-Kutta法求解浮放设备地震滑移反应运动微分方程，可以得到浮放设备在地震作用下的绝对加速度、相对速度和相对位移反应时程。

Based on the Volume of Fluid Method, the wave damping absorber of the numerical wave flume for irregular waves has been investigated. Setting the Turbulence motion equation and the Renault equation as the governing equations and using the wall function technique in the near-wall region, an absorbing wave-maker is set at the left side of the flume.

本文对基于VOF方法的不规则波数值波浪水槽进行了阻尼消波研究，以湍流运动方程一雷诺方程为控制方程，在近壁区应用壁函数技术，在数值波浪水槽的左端设置了主动吸收式造波机。

To investigate the thermal protection effects of a heat sinking vest with phase-change material in high-temperature and high-humidity environment and the feasibility of numerical computation of heat transfer to the vest, based on the analysis of heat and mass transfer characteristic about the accouterments, a thermodynamic model was set up with the enthalpy method. The uniform energy equation was constructed for the whole domain, and the implicit difference equation was used in every node, the distribution of enthalpy was solved by numerical method.

为了研究相变材料降温服在高温高湿条件下的热防护性能和相变材料数值计算方法应用于降温服传热计算的可行性，在分析服装传热传质特点及计算方法的基础上，利用焓值分析法对服装中的相变材料建立传热模型，在整个区域建立统一的能量方程，在区域结点进行离散，并进行隐式求解，得到焓的分布。

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