查询词典 algebra

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。

This course is suitable of students who have mastered infinitesimal calculus, linear algebra, set topology, differential geometry of curves and surfaces.

微分流形己成为现代数学研究的基本对象，是联系经典数学和当代数学文献的桥梁。

Under the tutelage of Cosmas, John made such rapid progress that, in the enthusiastic language of his biographer, he soon equalled Diophantus in algebra and Euclid in geometry.

根据监护的科斯马斯，约翰取得如此迅速的进展，在热烈的语言，他的传记作家，他很快等于丢番图代数和欧几里得几何。

Fermat and led them to numerous general results which Diophantus himself only hinted. Perhaps more important, however, is the fact that this work, as a work of algebra, was in effect a treatise on the analysis of problems.

史学界一直认为丢番图仅满足于得到不定方程的一个解，本文的中心论点之一是揭示丢番图解法的一般性，亦即丢番图知道解的多样性，只要取不同的值，便可利用他的方法得到其它解。

Then we study that quadratic Lie colour algebra also can be decomposed to direct sum of ideas who contains no nontrivial non-degenerate idea of L . And the decomposition is unique except the order of the ideas .

然后给出了二次李color代数也可以分解为不包含非平凡的非退化的color理想的直和，而且分解除理想次序外是唯一的。

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。

The final part, suitable for third year students, uses ideas from algebra, analysis, calculus and geometry to study more advanced topics such as Dirichlet series and sums of squares.

最后部分，为三年级学生适用，使用从代数，分析，计算和几何研究诸如Dirichlet级数和平方和更高级的主题思想。

Presents an algorithm for generating the sum of disjoint products by using binary decision diagram as well as certain ordering role of paths and Boolean algebra formulas.

利用二分决策图，同时采用道路排序技巧及布尔代数运算给出了求不交和的方法，它比单纯采用二分决策图的算法更简单，不交和的项数更少，从而得到一个求网络可靠度的有效算法。

The second motivation is the replacement of a Boolean algebra of sets by the distributive lattice of filters of a finite partially ordered set.

一个自然的问题是：能否给出射影空间中放置不同维数的线性族类似的公理体系？

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。