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Also in the 3-D space, we assign the 20 amino acids to 20 vertices of the dodecahedron. By the symmetry of the dodecahedron we obtain 3-D representation of 20 amino acids, and 3-D graphical representation and the corresponding numerical sequence of protein sequences. And similarity and dissimilarity analysis based on the invariants of graphs and characteristics of numerical sequences are given for nine RNA secondary structures of RNA-3 of virus. We construct sequence phylogenetic tree of a group of cytochromes C protein.

在DNA三联体密码子表示的基础上,在半复平面上给出了蛋白质序列的非退化的2-D图形表示,同时利用复向量的主要特征—模和相位,给出了蛋白质序列的一种数值刻划,进一步在3-D空间里,把20种氨基酸分别分配给正12面体的20个顶点,根据正12面体的对称性得到了20种氨基酸的3-D表示,进而得到了蛋白质序列的3-D图形表示和对应的数字序列,并利用图的不变量和数字序列的特征比较了9种动物的神经元

Some necessary conditions are obtained for sequential graphs, regular sequential graphs and Euler sequential graphs; several non-sequential graphs classes are showed for conglutinating graphs. The sequential graphs that contain even cycle with the same vertices have been constructed.

使用这种方法,得到了一般序列图、正则序列图、Euler序列图、圈的粘接序列图和圈的并序列图的必要条件,证明了边数为2k, k是奇数的Euler图是非序列图类,讨论了m个n圈的粘接图中的非序列图类;分析偶圈的特征,构造了偶圈的具有同顶点集的序列母图井给出其序列标号表达式。

To the number of updatein DirectX 10.1 can be attributed the possibility to assign the independent regimes of blendingfor different render-target, the required requirement of support MSAA with a quantity of simpleis not less than four, the appearance of control capability of arrangement of those selected sub-Sampilau from shader, a larger quantity of input and output registers in vertex shader, a increase in the accuracy of calculations, the filtration FP32 size, the massifs of cubic textures.

到该号码的更新在DirectX 10.1可以归因的可能性,指派独立的制度配煤,使不同的目标,所需的要求,支持msaa一个简单的数量不得少于四,外观控制能力的安排,这些选定的小组sampilau从着色,较大数量的输入和输出的正式选民登记册在顶点着色引擎,增加了准确性的计算,过滤fp32大小, massifs立方织构。

To the number of updatein DirectX 10.1 can be attributed the possibility to assign the independent regimes of blendingfor different render-target, the required requirement of support MSAA with a quantity of simpleis not less than four, the appearance of control capability of arrangement of those selected sub-Sampilau from shader, a larger quantity of input and output registers in vertex shader, a increase in the accuracy of calculations, the filtration FP32 size, the massifs of cubic textures.

在一些更新的DirectX 10.1可以归因的可能性指派独立制度的融合不同的渲染目标,所需的经费支持MSAA ,以简单的数量不少于4个,出现了控制能力安排这些选定的分Sampilau从着色,更大数量的输入和输出寄存器顶点着色器,一个增加的准确性计算,过滤FP32大小,块立方织构。

According to the regulations above, the paper presents the virtual price and profit function in the course of selecting cars for the departing trains and the model of the grouping cars into arrival trains.

在车流推算的基础上,从应用计算机模拟区段站调度员思维的角度出发,通过分析车列占用调车机车时区集合的特点,使用划分时间片的方法建立合适的调车机车安排的图论模型,将调机运用问题转化为顶点具有加权的图的K-着色问题。

Based on analyzing the algorithms of Delaunay triangulation creation in domestic and abroad, in view of the situation of building DTM and the need of realizing railway 3D visual design, a divide-and-conquer algorithm to build DTM is presented, the algorithm use square grids to manage disordered points, to form triangular meshes in grids, DTM can be obtained by merging the triangular meshes, so that the work of sorting of the disordered points before building DTM is reduced greatly; moreover, the algorithm utilize subarea to control the vertices of convex hull so that the range which support points locate in can be predefined when searching support points, the workload of searching support points can be reduced and the speed of merging two triangulations is raised.

在分析了国内外构建DTM算法的基础上,针对DTM算法的现状及铁路线路三维可视化设计的需要,创立了一种构建DTM的分治算法。算法引入方格网管理离散点数据,在格中构建三角网,然后再将这些三角网合并形成DTM,极大地减少了构网前对所有参加构网的离散点进行排序的工作量。此外,通过对凸包顶点数据进行分区管理,在搜寻凸包支撑线时,能预先确定出支撑点的范围,减少了搜索工作量,提高了三角网的合并速度。

When 〓 is the family of bipartite graphs,the 〓 capacityand the 〓 valency of a graph G are referred to as the biparticitydenoted by β(Gand the bivalencydenoted by 〓(Gof G respectively;when 〓 is the family ofgraphs whose components are complete bipartite graphs,the 〓 capacity and the〓 valency of a graph G are referred to as the complete biparticitydenoted byc(Gand the complete bipartite valencydenoted by 〓(Gof G respectively;andwhen 〓 is the family of star forests,the 〓 capacity and the 〓 valency of a graphG are referred to as the star arboricitydenoted by st(Gand the star valency ofG(denoted by 〓)respectively.

以v记图G的完全二部分解中顶点υ所关联的π中完全二部图的个数,记〓这里π取遍G的所有完全二部分解。我们称υ为G的完全二部次。对一般的图,当图的阶数充分大时,P。〓和L.Pyber给出了υ的一个上界,即,〓。F.R.K.Chung等人及Z.Tuza的结果说明这一上界是不可改进的。对υ的具体值,即使是对某些特殊的图类,结果也知之甚少。P.C.Fishburn和P.L.Hammer给出了一个相关的结果:当n≤16时,〓,(在υ的定义中,以完全二部覆盖替代完全二部分解,即得〓。同时他们提出了下述公开问题。问题1。〓=?

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What are your goals and strategies for growth?

你的成长目标和策略是什么?

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3:1 你要写信给撒狄教会的使者,说,那有神的七灵和七星的,说,我知道你的行为,按名你是活的,其实是死的。

"It is a testament to making sure unemployment compensation is available, making sure we are looking out for people who have lost their jobs," she said.

"这是个实证,证明我们必须确保人们都可以得到失业补偿,确保那些失去工作的人们得到照顾。"