数

In chapter two ,we determine the crossing number of the cartesian product of five graphs on 6-vertex with path.

第二章：我们确定了6个7阶图与路的笛卡尔积图的交叉数；第三章：我们证明了4个五阶图与星图的笛卡尔积交叉数；第四章：我们求出了完全三部图K_(1，m，n)的交叉数。

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。

Only in cauchy distribution are expected value and variance non-exist. By sas programming with SQL and MACRO we solve the fit of frequency distributions of data with these distributions. Meanwhile good-of-fit test is actualized so that the bound of parameters of distribution function is dwindling until the desired accuracy is arrived. The process is executed by the circle of macro.

利用SAS的SQL和MACRO等语句编写了大量的程序，以拟合优度检验结果为标准，不断地变换八种分布的参数变化范围，通过宏程序的不断循环，逐步缩小参数的范围，最后达到预先设定的标准，从而可以发现八种分布中哪几种分布能比较好地拟合给定的实际频数资料，我们再根据拟合优度检验的结果判断出哪种分布拟合实际频数资料最好，最终获得该频数资料的最佳的理论分布函数形式。

Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下几个方面的结果： 1、利用图度平方和的De Caen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界；利用树的Laplace理论给出了单圈图次小Laplace特征值的一个上界，并刻画了达到该上界的极图；利用子图的连通分支的顶点个数给出了单圈图次大Laplace特征值的一个上界，并给出了单圈图次大Laplace特征值一个理论上的一个求法；利用单圈图的阶数给出了其一般Laplace特征值的一个上界；利用单圈图的匹配数给出其Laplace矩阵谱在区间[0，n]上的分布情况。

As to its computing methods, this paper synthesizes six kinds, they are: utilizing a general integral method of complex function directly; utilizing Cauchy integral theorem; utilizing Cauchy integral formula; utilizing Cauchy high-level differential coefficient; utilizing Cauchy residue theorem; utilizing the residual of logarithm.

关于周线积分的计算方法，本文综合了六种，它们分别是：直接利用一般的复变函数积分的方法；利用柯西积分定理；利用柯西积分公式；利用柯西高阶导数公式；利用柯西留数定理；利用对数留数。

Swimming biological spices is 108 kinds, including fish 89 kinds, accounting for the number of 82.41 % swimming species, shrimp 15 kinds, accounting for the number of 13.89%, rarely cephalopod, only 4 kinds, accounting for the number of 3.70%. They just appear in March, October and November in the southern waters through the evaluation.

游泳生物为108种，其中鱼类89种，占游泳生物种类数的82.41%，虾类15种，占种类数的13.89%，头足类很少，只有4种，占种类数的3.70%，仅于3月、10月和11月出现在评价水域南部。

When to get the coefficients of polynomial directly,the ill-conditioned matrix may be produced and effect the precision of result.Using orthogonal polynomial can avoid this problem.This paper introduces 4 orthogonal polynomial.In our discussion,it is proposed to use Chebyshev polynomial and Legendre polynomial,they are easier to sa...

讨论4种常用正交多项式在拟合卫星轨道与时间函数时的适用性；通过计算实例说明利用切比雪夫多项式和勒让德多项式做数据拟合时具有很高的精度；分析得出评定多项式拟合数据精度的适用阶数，实际应用中可降低工作量，提高计算效率；最后讨论同一多项式阶数下不同历元数对拟合结果的影响。

The results showed that the total numbers of integral membrane proteins identified based on PAOT,trypsin/chymotrypsin and methanol-modified digestions were 101,59 and 72,which included 67,40 and 31 proteins with GRAVY＞0,respectively.

结果表明，甲醇酶解法鉴定到72个整合膜蛋白，其中平均疏水值大于0的蛋白数为31；胰蛋白酶/胰凝乳蛋白酶酶解法共鉴定到59个整合膜蛋白，其中平均疏水值大于0的蛋白数为40个；PAOT法共鉴定到101个整合膜蛋白，其中平均疏水值大于0的蛋白数为67个。

The low-dimensional Galerkin method is generalized to solve the flow around arbi-trarily translating circular cylinder.Active control problems of wakes behind circularcylinders are numerically investigated by only small number of modes.The in-line andtransverse oscillation of a circular cylinder with proper frequency produce Karman vor-tex street successfully in some subcritical regime,vhereas the transverse oscillation of acircular cylinder with 1.8 times the natural shedding frequency can effectively suppressthe Karman vortex street at a slightly supercritical Re.

将低维Galerkin方法推广至可以求解任意平移运动圆柱的绕流问题，用较少的模数值研究了圆柱尾迹的主动控制问题，在亚临界Re数下圆柱以适当的频率沿流向和横向振动均成功地激发出Karman涡街；而在略高于临界Re数下圆柱以1.8倍自然脱涡频率沿横向振动明显地抑制了Karman涡街；再现了超临界Re数横向及流向振动圆柱绕流的频率锁定等复杂非线性现象。

The heterosis of spike number per plant and grain number of main spike were stable in the intervarietal crosses between years, and so were the grain number of main spike in the crosses of common wheat with club wheat, and were the 1000-grain weight in the crosses of common wheat with spelt wheat.

普通小麦品种间杂种每株穗数优势和主穗粒数优势年度间表现稳定；普通小麦与密穗小麦的种间杂种主穗粒数优势以及普通小麦与斯卑尔脱小麦的种间杂种千粒重优势两年均表现出明显的杂种优势，且幅度相近，其他性状年度间差异较大。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。