查询词典 algebraic equation

The brachistochrone of an electric ball in the electromechanical coupling field was investigated according to variational method,and the corresponding governing equation(Euler-Lagrange equation) was derived.

通过变分原理的方法研究力电耦合场中带电小球的最速降线问题，导出其轨迹控制方程，即Euler-Lagrange方程。

Rules for fusing, which specify the possible values of the charge that can be obtained when two particles of known charge are combinedbtogether, used for reading out information. In the #nu=5/2# FQH state, it can be realized by measuring whether each pair annihilates fully or not with interference experiment. The representation of the braid group realized by n anyons is cmpletely characterized by the R-matrix and F-matrix which satisfy a pentagon equation and a hexagon equation, coherence conditions for the corresponding anyon model.

满足一定的聚合规则，用于信息读取（在填充因子为5/2的分数量子霍尔效应中，可以通过干涉实验测量每对相邻的粒子相聚合的湮灭情况来实现信息读取）；N个任意子组成的体系的标准基中辫子群表示可以完全由R矩阵和F矩阵决定，不同任意子模型中的R矩阵和F矩阵的具体形式可以通过五边形和六边形方程求出。

Based on a two-phase flow momentulm equation and a mechanical energy balance equation, an expression for the buoyance on the fluidized partiles has been derived.

表明了广泛应用的拟均相模型的不合理性，提出了应采用分离流模型来分析散式流态化中颗粒的受力情况，证明了流化颗粒所受浮力符合阿基米德原理，即，还推导了流化颗粒所受流体曳力的表达式：并用实验对其进行了验证。

Effects of buoyance on oil droplets migration in waterflood process;2. Based on a two-phase flow momentulm equation and a mechanical energy balance equation, an expression for the buoyance on the fluidized partiles has been derived.

表明了广泛应用的拟均相模型的不合理性，提出了应采用分离流模型来分析散式流态化中颗粒的受力情况，证明了流化颗粒所受浮力符合阿基米德原理，即，还推导了流化颗粒所受流体曳力的表达式：并用实验对其进行了验证。

Considering the characteristic of dynamic consolidation in soft soil, L'place transformation is carried out on the basis of relaxed resolution problem of dynamic consolidation in saturated soft soil proposed by Zienkiewicz. With calculus of variations as the principal theory, the function of dynamic consolidation equation is constructed, and further, dynamic consolidation equation in matrix forms is deducted.

本文针对软土地基上动力固结法的特点，在Zienkiewicz提出的饱和土体动力固结定解问题的基础上做拉氏变换，以变分原理为基本理论，构造动力固结方程的泛函，进一步推导得到动力固结方程的矩阵形式表达式。

In Chapter 3, the generalized skew-symmetric solutions of the matrix equation A~TXA = B on the linear manifold S ={X e GKSR~|||XY - Z}}= min, Y, Z∈ R~}, using the canonical correlation decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the generalized skew-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

利用矩阵对的标准相关分解，给出了这类线性流形上矩阵方程A~TXA=B存在广义次对称解的充要条件及其通解表达式，并且导出了极小Frobenius范数广义次对称解的表达(来源：d7d7A7dBC论文网www.abclunwen.com)式。

In Chapter 5, the least-squares solutions bisymmetric matrix set of the matrix equation ATXA = B on two linear manifolds Si ={X BSRnxn\\\XY - Z\\ = min} and S2 ={X BSRnXn\XY = Z, YtTZi = ZjYu ZtffYi = Zi,i = 1,2, Y, Z e Rnxm}, by applying the singular value decomposition of matrix and the canonical correlation decomposition of matrix pairs, we obtain a general expression of the least-squares solutions of the matrix equation ATXA = B on two linear manifolds.

在第五章，我们研究了两类线性流形S_1={X∈BSR~|‖XY-Z‖=min}和S_2={X∈BSR~|XY=Z，Y_i~TZ_i=Z_i~TY_i，Z_iY_i+Y_i=Z_i，i=1，2，Y，Z∈R~}上矩阵方程A~TXA=B的双对称最小二乘解。

Uncertain differential equation is a type of differential equation driven by canonical process.

不确定微分方程是由标准过程驱动的一类微分方程。

The equivalence of canonical equation and Heisenbergs Equation to harmonic oscillator systems are verified.

从而验证了海森伯方程和哈密顿正则方程对谐振子系统的等价性。

The corresponding relations between the multi-variable canonical difference equation and the extended-state multi-variable equation are also reviewed.

文中还展示了多变量典范差分方程与多变量扩展状态方程之间的对应关系。

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