数集

Vector is the new high school textbooks and the new one of the important contents, it is rich in physical background, it is the object of study algebra, and geometry is the object of study is set,"the number of Form" in a mathematical concept of an abstract algebra, linear algebra and functional analysis of the basic mathematical model.

向量是高中新教材中新增加的重要内容之一，它有着丰富的物理背景，它既是代数研究的对象，又是几何研究的对象，是集"数、形"于一身的数学概念，是抽象代数、线性代数、泛函分析中的基本数学模型。

In the third chapter, we shall define the concepts of the adjacent vertex distinguishing incidence coloring and the adjacent vertex distinguishing incidence chromatic number of graphs: For graph G, let Q_u={|u"∈N}U{|u∈N},σ: I→C is a k- incidence coloring of graph G, C_u denotes the set of colors assigned to Q_u.

在第三章中我们将定义图的邻点可区别关联着色及邻点可区别关联色数：对图G，设Q_u={|u"∈N}∪{|u∈N}，σ：I→C为图G的k-关联着色，C_u表示着在Q_u上的色集。

First we prove that 0 is an eigenvalue of the operator with geometric multiplicity one,next we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator,last we prove that 0 is an eigenvalue of the adjoint operator of the operator.

首先证明0是对应于该排队模型的主算子的几何重数为1的特征值，其次证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，然后证明0是该主算子共轭算子的特征值。

Through reiterative study over years by the author,a new principle to express the relation between aggregate particles size and the surface area was proposed,that is the specific granularity,which could solve the problem of lack of correlation of fineness modulus to the specific surface area of the sand.

经多年反复研究，发现了集料粒度与表面积关系法则，提出了以"比粒度"表述砂石粒度的新方法，解决了以"细度模数"表述砂子细度的不足之处，即解决了细度模数与不同细度砂子的比表面积没有相关性的问题

With painstaking efforts of generation after generation,QIAN HAO INTERNATIONAL successfully developed body-shaping underwea at last in tegrating various high technological achievements such as ergonomics,resinosis principle,etc.

Sarrautte根据女性生理特点发明了健康胸衣，历经数代人的倾心努力，纤好国际终于研制出集人体工学、流脂原理等数种高新科技成果相结合的美体内衣。

The L929 represented the unremarkable colonies, low speed of growth and differentiation, reduced density as well as shrinking of synapsis along with time of the electromagnetic fields of HVTL exposure.

高压输电线电磁辐射暴露时间越长的L929细胞，分化速度越慢，而且个别细胞变小、变圆，单独生长，单位面积内细胞数、集落数显著减少。

Result 10 308 insects were identified, belonging to 9 orders, 43 families, 68 species of Insecta and I families, 1 species of Arachnida. The result revealed that the individuals of the pest sub-community were more than that of the natural enemies sub-community, the dominant concentration and dominance of the pest sub-community were the biggest, diversity index of the natural enemies sub-community was more than that of the pest sub-community.

结果］共调查昆虫10 308头，分属于昆虫纲9个目、43科6、8种以及蛛形纲1科、1种；野生植物害虫亚群落的物种个体数多于天敌亚群落的个体数，害虫亚群落的优势集中性和优势度最大，天敌亚群落的多样性指数大于害虫亚群落。

In this case, the group cardinality lies between the maximum of the distinct cardinalities of colx and coly, and the lower of the product of the distinct cardinalities of colx and coly, and the number of rows in the row set.

这种情况下。分组行集数位于不同行列数最大的一个和两个不同行列数乘积与行集的最小的数值之间。

Under the guidance of DPRIF integrating strategy, we set up an integreted SOFM-SVM model. Then we analyzed and optimized the model from the aspects of operating mechanism, data interface and function expandedness. The PCA method was introduced to reduce dimensionality and extract features, then to strengthen the clustering explanation; defined a CMI index, to ascertain the most effective or the best clustering number; A new Anti-NO algorithm was proposed to recognize and to filter the suspecious data in the sample; The medium result of SVM model was used to extract the borderline datas between two classified groups. This research compensated for the achievements of data recognition including pattern data, noises data and borderline data.

在DPRIF整合策略指导下构建了一个整合的SOFM-SVM模型，对该模型从运作机制、数据接口、功能扩展几个方面进行分析和改进：引入PCA方法进行数据降维和特征提取，用以加强聚类解释；结合统计聚类中的聚类误差概念定义一个聚类数有效性指标，利用SOFM算法中间结果进行指标求解，以筛选出有效或最佳聚类数；提出一种新的噪声识别算法用于对样本中的异常数据进行甄别和过滤；利用SVM模型的中间结果提取分类边界数据；进一步充实了包括模式类、噪声集和边界在内的模式识别成果。

And we prove the continuity of upper box dimension and packing dimension for homogeneous Moran set.

并证明了齐次Moran集对上盒维数和填充维数的连续性。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。