查询词典 algebra of events

In [3], Beligiannis developed a homological algebra in C which parallels the homological algebra in an exact category in the sense of Quillen.

在文[3]中，Beligiannis沿此思路研究了三角范畴的同调性质。

In the chapter two, we will recall some basic concepts and propertiesin commutative algebra and homological algebra. In the chapter three,wewill defineⅠ-flat modules and give equivalent conditions: one module M isanⅠ-flat R-module if and only if for all prime ideals p,SuppTor_1~R

本文首先介绍了关于平坦模的一些基本概念和性质，而后将平坦模的概念在一定意义上进行推广，定义了I-平坦模，并得到了模M是I-平坦R-模的等价条件：对R中所有素理想p，有suppTor_1~R

It takes advantages of AR-quiver analysis and APR- tilting translation. We proved: if T_A is a tilting A-module over a path algebra of type A_n or a characteristic tilting A-module over a path algebra of type D_n,E_6,E_7, E_8,then there are points corresponding indecomposable direct summands of T_A in theτ- orbit of each edge.

通过对Dynkin型路代数的AR-箭图分析及利用APR-倾斜变换，证明了A_n型路代数倾斜模及D_n，E_6，E_7，E_8型路代数本性倾斜模T_A的一个必要条件是，在A的AR-箭图Γ_A的边缘的r-轨道都有T_A的不可分解直和项对应的点。

Nest algebra is an important class of non-selfadjoint reflexive operator algebras, which is the natural generalization of upper triangular matrix algebra in infinite dimensional space.

中文摘要：套代数是一类重要的非自伴、自反算子代数，它是上三角矩阵代数在无穷维空间上的自然推广。

It is proved that an R-algebra isomorphism between two integral table algebras must be an integral table algebra isomorphism if it is compatible with the so-called normalizings of the integral table algebras.

我们证明了两个整表代数之间的一个R-代数同构必是一个整表代数同构只要它与一种标准化变换相容。

Uncertain temporal relations can be represented and reasoned by IA. IA has strong expressive ability in tense, and it can represent all natural temporal relations. At the same time, temporal relation represented by IA is highly visual and comprehensive. In additional, IA has been extended from one-dimension temporal area to two-dimension spatial area, that is to say, interval algebra can be developed to rectangle algebra for two-dimension reasoning.

用区间代数能表示不确定的时态关系，可以很方便地用于时态推理，表达能力强；时态关系的区间表示比较直观，可理解性强；同时区间代数可以进一步扩展到二维空间领域，即将区间代数拓展为矩阵代数，实现二维空间推理。

Author uses the result of the periodicity theorem of complex Clifford algebra to obtain the irreducible representation of the odd\|degree complex Clifford algebra.

然而 ，周期性同构现象是复 Clifford代数中的一个重要特性，利用有关复 Clifford代数周期性定理的结果，本文作者得到了奇数次复 Clifford代数的不可约表

Adopting generalized Jordan block and algebra equivalence transform method, all of the transfer functions at different load points can be transformed to state-space description with time variable. The steady robustness of three different mode of control systems were researched by mathematic analysis. It shows that: for the high order inertia controlled object with the characteristic of nonlinear and time-variable that described by the set of transfer functions, the Luenberger function observer established according to its any algebra equivalence state-space description, if some conditions can be met, there would be a matrix of T with n′n satisfied the Sylvester matrix equation TA- FT=GC.

采用广义约当块及代数等价变换方法，可将分段的传递函数描述转换为变参数的状态空间描述，对3种典型控制系统的稳定鲁棒性所进行的理论研究表明，对同一组传递函数描述的具有非线性和时变特性的高阶惯性受控对象，依据其任一代数等价的状态空间描述所构建的Luenberger函数观测器，在满足一定的条件时，存在n′n解阵T满足Sylvester矩阵方程TA- FT=GC。

Based on the speciality of the spectral function, we provide the sufficient conditions such that the spectral function are K—increasing (strictly K—increasing) in Euclidean Jordan algebra, and establish the relationship between the spectral scalar solution set and the K— efficient solution set of the Euclidean Jordan algebra vector optimization problem.

基于谱函数的特殊性，刻画了谱标量函数满足K-增性的充分条件，继而建立了谱标量解集与欧几里德若当代数向量优化问题K-弱有效解集和K-有效解集的包含关系。

Next, we give the definition of Killing form hold for pointed YD-Lie algebra, let L be a pointed YD-Lie algebra, for every homogeneous elements x, y ∈ L, if = tr_q.then we call Killing form of L.

接着，给出了点YD-李代数的Killing型的定义：L为任意的点YD-李代数，如果齐次元x，y∈L定义：=tr_q。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。