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The course contains four sections as follows: mathematical logic (including basic concepts of propositional logic and predicate logic, propositional calculuses and inference theories), set theory (including set algebras, relations, functions and cardinal numbers), algebraic structure (including algebraic systems, semigroups and groups, rings and fields, lattices and Boolean algebras), graph theory (including basic concepts of graph, Euler graphs and Hamiltonian graphs, trees, planar graphs and coloring graphs, some special vertex subsets and edge subsets).

本课程包含四部分内容：数理逻辑（包含命题逻辑与一阶逻辑的基本概念、等值演算以及推理理论），集合论（包含集合代数、二元关系、函数和基数），代数结构（包含代数系统、半群与群、环与域、格与布尔代数），图论（包含图的基本概念、欧拉图与哈密顿图、树、平面图及图的着色、图的某些特殊的顶点子集与边子集）。

In the research of the crossing number of Cartesian products, there are s...

在交图的交叉数方向目前只给出了路径，圈以及星图与一些顶点数较少的图的交图的交叉数。

In this paper,the B-spline curve is supposed as boundary curves,when they are in two paralled plane and two arbitrary plane,the condition about the control vertex of characteristic polygon when the ruled surface is developable are gained,solved the designing problem of degree and degree B-spline curve .Throughing (2,3) degree and (2,2) degree B-spline ,we haveproved the validity and utility of this method.

本文用两条B样条曲线作边界曲线，当它们位于两平行平面上和两任意平面上时，研究得到了由它们形成的直纹面为可展面时它们的特征多边形顶点满足的条件，解决了(n，n+1)次和次可展B样条曲面的设计问题，然后以(2，3)次和(2，2)次B样条曲面为构造实例，证明了该算法的正确性和实用性。

The fats hold such vibrations in the physical form leading to a vibration that has enough molecules to support all lay lines, meridians and grid work rewoven within the etheric body, charka system, subtle bodies, light body or body double, and greater solar sized auric field.

18种盐形式，创造了与144个单音、双音、三音和四音光之语音调相关的神圣几何学能量运动。脂肪则维系肉体的振动，带来充足分子的振动来支持所有层面线条、顶点和晶格层在以太身体、脉轮系统、精微身体、光体或双体及更大的太阳大小金场中织就。

One of graph edge coloring and graph total coloring problem, as well as whole graph chromatic number problem can be converted to graph vertex coloring to deal with problem.

其中图的边着色和图的全着色问题以及图的色数问题都可以转化为图的顶点着色问题进行处理。

2At drive than will certainly,driven gear, while having the more same sizes, hyperboloid have diameter not larger of gear wheel not initiative than corresponding spiral awl gear wheel, intensity and bigger initiative gear wheel axle and bearing rigidity of higher teeth of a cogwheel.

螺旋角是指在锥齿轮节锥表面展开图上的齿线任意一点A的切线TT与该点和节锥顶点连线之间的夹角。在齿面宽中点处的螺旋角称为中点螺旋角(图5—4)。通常不特殊说明，则螺旋角系指中点螺旋角。双曲面齿轮传动比为

With the results which include performance point , shear force-displacement , distribution of the plastic hinges and so on, and has carried on the comparison with the elastic response spectrum method and the time-history method . An appraisal has been made after considering the structure earthquake resistance performance.

分析结果包括结构在小震和强震下的性能点和顶点位移，底部剪力-顶部位移，结构破坏时塑性铰的分布等，并与弹性反应谱法和动力时程分析的结果进行了比较，利用分析结果对结构的抗震性能做出了评估。

For some being serviced buffer, the continuous limit processing time is selected such that the continuous state slides onto a 1-dimension manifold spanned by two succession vertexes of the periodic orbit.

当Server服务于一个Buffer时，以此状态下在连续周期轨道上对应的2个顶点张成的一维线形子流型为滑动目标，仅通过系统许可的对极限连续处理时间的控制，使系统镇定于周期轨道。

Both the first and second movements demonstrate the composer's contrapuntal ingenuity in combining themes; the capstone of the second is an extended fugato comprising the central section of a three-part design.

第一和第二乐章显示出了作曲家在主题对比上对位的精巧性。第二乐章的顶点是一个包含了三部体裁的中部的扩展性赋格段。

The polar form is used as the representation for one of the composite functions, whereas the Bernstein representation is used for another function. At the last part of this chapter, we consider the problem about generalized Bezier surface, which is defined in arbitrary convex polygon.

我们利用函数复合的思想去处理这个问题，被复合的两个函数一个用Polar形式表示，另外一个用Bernstein基形式表示，这样就可以充分利用Polar形式的多元仿射性，直接生成新的控制顶点，简化了证明过程。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。