根的重数

We find serval conditions that are equivalent to 2-tournament matrices being singular,give the bound for the maximum algebraic multiplicity of 0 as an eigenvaulle of n order2-tournament,obtion the spectral radius of a singular 2-tournament matrix of order nis bounded above by n-2,and investigate 2-tournament matrix achieving this bound.

第五章讨论了2-竞赛矩阵的奇异性和特征值之间的关系，得到了2-竞赛矩阵奇异的充要条件，给出了2-竞赛矩阵的零化向量的刻划，得到了得分向量，3-圈数目与奇异性的关系；给出了2-竞赛矩阵的特征值0的代数重数的上下界，得到了奇异的2-竞赛矩阵谱根的最大值及谱根达到最大值的竞赛矩阵的得分向量的特征。

For example, one of our conclusions is that a nonsingular QSIC has one affinely finite component if and only if the characteristic equation of the two quadrics has two distinct real roots and a pair of complex conjugate roots.

由于两二次曲面的特征方程实根个数及其重数可用精确的计算方法得到，本文分类结果可用于实现对任意两二次曲面的非平面交线拓扑形态的判断。

Under the appropriate assumptions, the asymptotic solutions of the problem with different forms are obtained according to the multiple number of the root of some equation, which is satisfied by the boundary value of the reduced problem, by giving the general expressions for the coefficients of outer solution expansion and the corresponding boundary conditions.

在适当的假设下，通过给出外部解展开式系数及其对应边界条件的一般表达式，根据退化问题的边值作为某方程的根的重数，得到了此问题不同形式的渐近解。

Result enunciation:The different density of the nourishment liquid is Peperomia obtusifolia to take root in number and a fresh and heavy performance functions,the water、1/2 nourishment liquids distinguish to express the result best;The different density of the hormone to take root number and a density for fresh and heavyly handlin...

结果表明：用不同浓度的营养液处理豆瓣绿，以1/2营养液生根效果最好，达13.3条，根鲜重达0.093g/棵，清水次之；用不同浓度的生长激素处理豆瓣绿，以30mg/L浓度的3-IBA生根效果最好，生根数达16.5条，根鲜重达0.132g/棵，10mg/L次之；在营养液与激素的互作处理中，清水与30mg/L激素、全营养与10mg/L激素的互作处理分别对豆瓣绿的生根数与根鲜重表现较优。

The results were as follows:The embryo-bud length, embryo-shoot length, embryo-shoot number and dry weight of embryo-shoot of maize inbreed line decreased evidently under osmotic stress within germinating period. So the germination date was delayed, the germination rate and viability decreased.

研究结果如下：在萌发期渗透水分胁迫条件下，玉米的胚芽长、胚根长、胚根条数、胚根干重等均有明显的下降，因而发芽时间延迟，发芽率下降。

Three QTLs detected for maximum adventitious root length in solution culture, total root dry weight in both solution culture and paper culture accounted for about 20%, 23% and 13% of the total variations, respectively.

其中溶液培养中的最长不定根长、总根干重和旱作培养中的总根干重检测到的QTLs位点对总变异的贡献率分别为 2 0 %、2 3 %和 13 %左右；旱作培养中的最长不定根长、不定根数、根冠比和溶液培养中的根冠比仅检测到上位性位点，对表型变异的贡献率在 12 %～ 61%之间。

In particular, as the multiple number of the root is even, the problem has two solutions.

特别地，当这种根的重数为偶数时，问题具有二重解。

This paper brief introduce numerical method of algebraic equation,points out their shortcoming of missing multiple root and put forward one new kind of method--multiple derivation numerical method.

本文对通常代数方程的数值计算方法特点进行了简介并给以分析，指出了这些解法无法得出重根数的缺陷，提出了一种新的解决方法———多次求导数值计算法，使得数值计算法更加清晰、明了，且可得出重根数。

GGR can promote the development of cotton roots like rhizogenic powder. It can also help seedling height, the number of lateral roots, root dry weight, boll weight and boll number per plant.

双吉尔象生根粉一样都能促进棉花根系的发育，对增加苗高、侧根数、根干重、铃重、单株结铃数均有一定的促进作用。

We measured morphological and physiological characteristics of C. asiatica in spring 2004 and 2005 at three levels: ramet population, clonal fragment and leaf. Environmental factors of different microsites were investigated again in September 2006. Important findings At the ramet population level, we observed no effect of habitat (forest edge vs. abandoned grassland slope).

在克隆片段水平，林缘和荒草坡生境显著影响积雪草的根干重、花果干重、一级匍匐茎节间长和总匍匐茎节间长，而不同草本层盖度小生境则显著影响花果干重、根冠比、一级匍匐茎数、二级匍匐茎节间长和总匍匐茎节间长。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。