查询词典 algebraic geometry

Character 2:The algebraic sum of the moments of the forces of a couple about any point in its plane of action is independent of the location of that point and is equal to the moment of the couple.

Statics 静力学性质2：力偶对其所在平面内任一点的矩恒等于力偶矩，而与矩心的位置无关，因此力偶对刚体的效应用力偶矩度量。

According to the moment of momentum conservation and force-balance, the algebraic equation is obtained to seek the solution of the orbital parameter s of the system after deployment and cut-off.

根据动量矩守恒和力平衡方程得到一代数方程，用于求解系统展开及剪断后的轨道参数。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

Therefore,the study of the the algebraic properties of automata with truth-values in lattice-ordered monoid and the study of the minimization algorithm form two crucial subjects in fuzzy automata theory.

因此，对取值于格半群的自动机代数性质的研究和极小化问题的研究是格值自动机理论的两个重要课题。

Research of algebraic congruent codes used in two-dimensional code division multiaddress system .

丁美玲，陈抗生，"基于二次全等跳频码的跳频光码分多址系统"，中国激光 35，

This paper brief introduce numerical method of algebraic equation,points out their shortcoming of missing multiple root and put forward one new kind of method--multiple derivation numerical method.

本文对通常代数方程的数值计算方法特点进行了简介并给以分析，指出了这些解法无法得出重根数的缺陷，提出了一种新的解决方法———多次求导数值计算法，使得数值计算法更加清晰、明了，且可得出重根数。

This paper is devoted to the application of the parallel multistep hybrid method to the numerical solution for a class of Index-2 differential algebraic equations ,and the errors are estimated,it has obtained the extremely ideal result.

将并行多值混合方法应用于一类2-指标微分代数方程的数值处理，并进行误差估计，获得了十分理想的结果。

Let G be a connected graph of order n whose algebraic connectivity, vertex connectivity, and edge connectivity are α,κ, and λ, respectively.

n阶连通图G的代数连通度、点连通度和边连通度分别记作α，κ和λ。

Then, according to differential equation of pile displacement and algebraic equation of neutral plane, the depth ratio of neutral planeλis solved by semi-analytical method. In the calculation example, the influence of pile compressive modulus, pile length and compressive modulus of subsoil beneath pile-bottom on the parameterλis analyzed. Moreover, the range ofλis also calculated.

然后，根据桩体位移微分方程和中性面代数方程，应用半解析的方法求解了中性面深度比λ，由算例分析了桩体压缩模量、桩长和桩端土压缩模量三个影响因素的变化对中性面深度比λ的影响，及刚性桩复合地基中性面深度比λ的取值范围。

Rose found a new way called algebraic perturbation method for solving nonsingular linear equations.

Rose在1974年首先提出了用代数扰动的方法求解非奇异线性方程组，随后，L.B。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。