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algebraic space相关的网络例句

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More recent developments followed the formulation of the vector space concept into an algebraic structure , and the growth of functional analysis .

最近的事态发展后制定的向量空间的概念纳入代数结构和生长的功能分析。

In order to obtain the variation law of temperature during casting solidification to improve casting quality,a finite element method combining with a finite difference method was used to discretize time and space variables in the governing equations of astable heat-conduction in the process of casting solidification so as to obtain the algebraic equations for casting and mold temperature.

为了掌握铸件凝固过程中温度场的变化规律以提高铸件质量,采用有限元和有限差分相结合的方法离散铸件凝固过程非稳态热传导方程的空间和时间变量,得到了关于金属铸件和铸型温度的代数方程。

This thesis consists of two parts. The first one was that boundary value problem was discrete with five point difference method. Three kinds of memory formats were studied, which were full matrix, half band width and row compress sparse. Full matrix memory format and half band width memory format first was contrasted. The results show that half band width has efficiency in space. Then the algebraic system of finite element method was solved by Gauss-Seidel iteration method to popular row compress sparse memory format.

本论文由两部分组成,第1部分针对边值问题,用5点差分格式进行离散,并对离散矩阵这类大型稀疏矩阵,研究了系数矩阵的3种存储格式的优劣,即:满矩阵存储格式、半带宽存储格式和按行压缩稀疏存储格式,首先我们将满矩阵存储方式和半带宽存储格式进行了对比,迭代法的数值实验表明:利用半带宽存储的矩阵在空间运算方面具有高效性;然后针对目前数值实验中流行的按行压缩稀疏存储格式,实现了有限元离散代数系统的迭代法的求解。

We arrange it as follows:In chapter one, we give some explicit constructions of harmonic maps from Lorentz space R1,1 to classical semisimple Lie groups SL,SU Sp, SO by using Darboux transformation, i.e., we may obtain a new parallel transport from a known one via purely algebraic algorithm.

全文共分四章,具体内容如下:第一章利用Darboux变换的方法给出从R~(1,1)到经典实半单Lie群SL,SU,Sp,SO的调和映射的具体构造,即从已知的平行移动Φ_λ通过Darboux变换的方法得到新的平行移动?

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。

In chapter 2, basic knowledge of the rough set theory, such as indiscernibilityrelation, elementary set, approximate space, upper approximation, lower approximation, negative region, boundary region, rough set, etc., and algebraic properties of rough set are introduced. At the same time, the feature of the rough, set theory is also introduced.

第二章介绍了粗糙集理论基本知识,如不可分辨关系、基本集、近似空间、上近似、下近似、负域、边界域、粗糙集等概念,以及粗糙集的代数性质,同时还介绍了粗糙集理论的特点。

Using this the problem can be summarized into scattering of SH-wave around an elliptic cavity in full space. Finally, the solving can be reduced to the solution of a series of algebraic equations.

应用这一波函数,将半空间中的问题转化为求解一个全空间中椭圆形孔洞的散射问题,最终将问题归结对一组无穷代数方程组的求解。

In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此,基于时间空间域到频率波数域和向量场到指数流形上的正反变换,提出了计算单程波算子旁轴走时的简便公式,将走时表示成空间变量(地面点到地下相点的水平距离)的多项式,将频率波数域单平方根算子表示成波数的多项式,运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来,运用单平方根算子的系数计算走时多项式的系数。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此,基于时间空间域到频率波数域和向量场到指数流形上的正反变换,提出了计算单程波算子旁轴走时的简便公式,将走时表示成空间变量(地面点到地下相点的水平距离)的多项式,将频率波数域单平方根算子表示成波数的多项式,运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来,运用单平方根算子的系数计算走时多项式的系数。

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中,通常把所求的解归结为度量空间中映射的不动点,然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

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