查询词典 algebraic algebra

We give a purely algebraic method to add uniton numbers for harmonic maps from a simply connected domain into the unitary group.

对于从单连通区域到酉群的调和映射，我们给出了一个增加酉子数的纯代数方法。

It is proved that the algorithm is convergenced for arbitrary consistent systems of linear algebraic equations.

本文利用行处理法[2～4]和分治策略[5]探讨这一问题。将任意的n×m阶线性代数方程组=bi，∥αi∈R1×m∥i=1，2，…，n。

The solution of this algebraic system contains the nodal values that collectively represent an approximation to the continuous solution of the initial PDE.

求解结果中整个网格的节点值可视为对原连续偏微分方程的近似解。

If the iterative step is greater than a certain number, the fictitious equilibrium force will change simply with factor of slope.The algebraic method is efficient to obtain a convergence value of safety factor.

研究结果表明：基于给出的算法，通过迭代求解安全系数，收敛速度快；在迭代初期，平衡力与安全系数间有较复杂的对应关系；当迭代次数大于某一值后，平衡力随安全系数的增加而单调地变化。

Helling and Jorgensen established the algebraic convergence theorem,limit theorem and convergence theorem in plane,respectively.

Helling、Jorgensen分别建立了平面Mobius群列的极限定理、代数收敛性定理和收敛性定理等等。

When camera is rotated around its coordinate axis, the formulas of camera intrinsic parameters are obtained by the algebraic method.

当摄像机绕其坐标轴旋转时，运用代数方法给出了计算内参数的公式。

With regard to the section of coset in algebraic structure, a series of well-mastered concepts including equivalent relationship and division are applied, and typical examples are cited to introduce the conception of equivalent relationship-coset relationship defined through subgroup.

对于其中代数结构部分的陪集一节，应用已经熟知的等价关系和划分的概念，通过引例导出由子群定义的等价关系―陪集关系，进而得到群的划分―陪集，再研究陪集的性质。

Libermann.The early researcheson this kind of manifolds were closely related to Physics and Mechanics.But since1991,S.Kaneyuki published his result on the algebraic condition for the existence ofinvariant〓structures on a coset space,Lie theory has played the most impor-tant role in the study of this kind of manifolds.In particular,dipolarizations in a Liealgebra are closely related to the homogeneous〓manifolds.Dipolarizationsin semisimple Lie algebras and the homogeneous〓manifolds associated withthese dipolarizations have been studied by S.Kaneyuki,Z.X.Hou and S.Q.Deng.Inthe partⅡ of this thesis we study the dipolarizations in some quadratic Lie algebrasand the homogeneous parakahler manifolds associated with these dipolarizations.

Libermann给出的，早期的有关类流形的研究与物理和力学密切相关，自从1991年金行壮二发表了陪集空间上存在不变仿凯勒结构的代数化结果后，李群及李代数理论在这类流形的研究中起着主要作用，特别地，李代数的双极化与这类流形密切相关，半单李代数的双极化的相关几何，金行壮二，候自新和邓少强等人已作了研究，二次李代数是比半单李代数更广且带有非退化不变双线性型的李代数，本文主要研究了二次代数的双极化及相关几何。

This paper mainly study the relations between some algebraic properties of Roe algebras and the coarse geometry of metric spaces, and its applications to the reduced crossed product C-algebras and the coarse Baum-Connes conjecture.

本文主要研究这类C~*-代数的某些性质与底空间几何之间的联系及其在交叉积C~*-代数和粗Baum-Connes猜测中的应用。第一章研究交叉积C~*-代数的Schwartz型谱不变子代数。

Another resynchronization attack is also proposed, which is the combination of the differential cryptanalysis and algebraic attack.

利用差分分析和代数攻击提出了另一种新型的再同步攻击方法，并利用此攻击方法分析了LILI-128 密码体制。

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。