代数

The study of lattice-valued propositional logic system based on lattice implication algebra.On the bases of previous study, by using the concepts and methods of T algebras we established the lattice-valued propositional logic system LP , whose truth values domain is a lattice implication algebra, and discussed systematically the semantical and syntactical properties of LP , proved the soundness theorem 、consistency theorem、deduction theorem and the decidability of validity of the system when the truth values lattice is finite. We also discussed the relationship between the α-theorem of some premise, say A, and the closed sets that contain A.

本文在前人研究工作的基础上，利用T代数的概念与方法，建立了真值取于格蕴涵代数的格值命题逻辑系统LP，对它的语义及语法性质进行了较系统的研究，得到了它的可靠性定理、协调性定理及演绎定理等，证明了值格有限时系统"有效性"的可判定性并讨论了某一前提A下的α定理与包含A的闭集之间的关系。

The algebra homomorphism and Riesz homomorphism can be deducible for each other under some circumstances in complex f -algebra.

文中具体讨论了在复f-代数中复Riesz同态与代数同态在一定条件下可互推的结果。

An algorithm for transformation of calculus to algebra was derived, and the correctness of transformation was proved.

代数转换同时也体现了对象代数相对于对象演算的完备性。

In the final chapter, we apply the tubular mutations of the derived category of a derived tubular algebra to Lie algebra.

第五章我们讨论标准代数导出范畴自等价—tubular mutation在李代数中的应用。

The algebraic method is used for the first time to study the vibrational spectroscopic constants and the vibrational spectra of three electronic states of alkali heteronuclear diatomic molecule: NaLi -、、 state. The dissociation energies of these states are studied using the algebraic energy method.

文章使用作者建立的基于微扰理论的代数方法，首次研究了碱金属异核双原子分子NaLi的、、三个电子态的振动光谱常数和振动能谱；使用基于AM的代数能量方法研究了这些电子态的离解能。

The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted f...

本文依据马克思、恩格斯关于微商概念的哲学思想，阐述了代数的0/0与导数的0/0的内在差异，并详细讨论了导数的代数实体0/0的双重性质，从而回答了导数本身是如何合平逻辑地转化为微商的问题；其次，把这一讨论推广到偏导数的概念中去，论证了偏导数转化为微商形式的合理性，以及偏微商表述的意义，文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted from pa...

本文依据马克思、恩格斯关于微商概念的哲学思想，阐述了代数的0/0与导数的0/0的内在差异，并详细讨论了导数的代数实体0/0的双重性质，从而回答了导数本身是如何合平逻辑地转化为微商的问题；其次，把这一讨论推广到偏导数的概念中去，论证了偏导数转化为微商形式的合理性，以及偏微商表述的意义，文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

In this paper,from the six-term exact sequence,it is proved that the direct sum of Z and K1 -group of a Toeplitz algebra is always isomorphic to the topological K1 -group of the boundary of the relative domain.

本文通过六项正合列计算出，在强拟凸域上，它的拓扑边界上连续函数代数的K_(1-)群同构于区域上Toeplitz代数的K_1-群与Z的直和。

At last we introduce the most important theory in this thesis which is the uniqueness of decomposition . Complete Lie colour algebra of any finite dimension can be decomposed to direct sum of simply complete ideas .And the decomposition is unique except the order of the ideas .

最后给出了本文最重要的一个定理——完备李color代数的分解唯一性定理，指出有限维完备李color代数可以分解为单完备理想的直和，而且除这些单完备理想的次序外，这种分解是唯一的。

In 1964, national attention was focused on the disenfranchised citizens of the South. In 1989, another kind of disenfranchisement exists, as many poor, indigenous, and immigrant children of color are denied access to programs and teaching that support their success in school. The success of the AlgebraProject stands as a challenge to public school teachers, administrators, scholars, and, most important, those individuals who have traditionally advocated for the democrarization of the society and schools: Will you wage a campaign for mathematical literacy, which acknowledges that every middle school

在1964年全国的注意力焦点都放在disfranchised的南部国人身上，在1989年，当许多贫穷、原位民及其他种族的新移民被拒於学校成功大门之外的同时，另一个disfranchisement也因应立，代数计划的成功已成为公立学校老师、行政人员、学者及那些传统上支持社会及学校民主化的推手的挑战：如果是你，你会不会发起推行学数学的活动让每位中学生学代数且同时赋权给这些小孩的社区你会在「Ella精神组织」工作吗？

And discuss some key point of integrated management system design, include hazard identification and risk assessment and risk control in the occupational health and safety management, the measure of satisfaction target of customer, the flawlessness of law system, the integration of the integrated management system and enterprise standardization system, unify lead institution and work orgnization, integreted internal audit and integrated management review.

同时，论述了一体化管理体系构建中的几个主要问题，包括职业健康安全管理中的危险源辨识、风险评价和风险控制、顾客满意度的科学监测、法律、法规体系的完善、一体化管理体系与企业标准化体系的有机结合、统一的领导机构和工作机构、一体化的内部审核和管理评审。

Deepwater Taranaki is investigated for its petroleum potential, using all available seismic data tied to shallow-water wells.

运用与浅水井相关的现有全部震波探测数据考察了深海区塔拉纳基盆地的油藏前景。