维数

The running effects under renormalization group equations are investigated in SUSY models with CP violating phases.

假如额外维的维数大于一，就能够在超对称软破缺项中得到非平庸的CP破坏相位。

Moreover, it is discussed how to use the stress function, the residual variance and the variance of distance ratios to select the neighborhood parameter and the dimension of the low dimensional space.

同时还讨论了如何利用应力函数、剩余方差和距离比例方差来确定邻域参数和低维空间的维数。

Characters selection and transformation, SVM increase dimension of input space to ensure it is Linearly Separable in high dimension space.

因为升维后只是改变了内积运算，并没有使算法复杂性随着维数的增加而增加，因此这种方法才是可行的。

Recently more than 10 years, a new fractal geometry, the space is not necessarily integral dimension, and the existence of a fractal dimension, which is a breakthrough in geometry, a mathematician and natural sciences were aroused great concern.

最近十几年的，产生了新兴的分形几何学，空间具有不一定是整数的维，而存在一个分数维数，这是几何学的新突破，引起了数学家和自然科学者的极大关注。

It is assumed here that is the same n-dimensional state space at all .

这里假设这里表示，对于系统的维数都是n维。

Firstly in this paper human mandibula was scanned by spiral CT. Then the data from CT was import into software (MIMICS 7.10) to reconstruct 3-D digital model. Software (Surfacer 10.5) was used to remove useless points , smooth the curves and output the STL file. The file was input into the rapid prototyping system, and was converted to slice format.

本研究首先用螺旋CT扫描离体人下颌骨，得到断层图像数据不经任何转换直接输入MIMICS软件进行三维重建，得到CAD三维数模，输入Surfacer软件除去杂点干扰，平滑曲面后，保存为STL文件，输入SLS快速成形系统通过激光烧结精铸蜡粉所制作的人下颌骨复制体，其形态、大小及结构与下颌骨实体标本基本一致。

In section 2,we characterize the minimal ideals of finite dimensional symmetricself-dual Lie algebras over the complex field and gives an optimistic lower bound for thedimension of the space of invariant symmetric bilinear forms on a symmetric self-dualLie algebra by means of the number of linearly independent minimal ideals.

在第二节中，我们完全刻划了有限维对称自对偶李代数的极小理想；用线性无关极小理想的个数给出了一个对称自对偶李代数上由不变对称双线性型构成的线性空间维数的最好下界

Based on the analysis to the particularity of the cruise missile attacking, a complete recognition method based on the knowledge is developed. A new fractal-based infrared image feature extraction method is presented and the detailed theoretic analysis and implement procedure of this algorithm is submitted and tested in some experiments. With the limitation of the line detection based on traditional Hough transform that the information of the length and the end points of the line is unavailable, a new algorithm which makes use of the accessional strategy based on precognition information is put forward to meet the demand for more information of the line, simulation results show this method is effective. Finally, the whole process of airport target recognition is presented and the result images are also given.

使用分形方法提取目标的特征，在知识指导下，提出了一种基于目标特征模型的降维的形态学分形维数计算方法，对传统分形方法进行了改进，从理论上推证了算法的合理性，并对算法进行了仿真分析；针对传统Hough变换无法获得线段端点和长度信息的局限性，提出了一种基于目标特征先验知识的Hough变换融合策略，通过引入目标先验知识，可以有效地获得直线信息；对信息多而复杂的机场目标采用基于知识的目标识别方法，使用置信度模型实现不确定推理，对目标进行识别判断，将知识贯穿于整个识别过程中，对目标进行了有效地识别。

This method uses what Professor Salton has proposed as the vector spacial model to express text as an invisible vector in hyperspherical space.It makes use of certain pre-disposal methods (reduce the dimensions,clustering thesaurus,filtering out old-fashioned words) to reduce the dimensions.It usescosines to measure the degree of similaritybetween texts and uses the total similarity as the target convergence vector.It produces clustered results by using restricted iteratives to achieve partial perfection.

该算法用Salton教授提出的向量空间模型把文本表示成不可视的超球向量空间的一个向量，采用一定的预处理手段(降维、同义词归并、停用词过滤)完成维数约减，使用余弦相似度度量文本之间的相似度，并选择总凝聚度作为目标收敛函数，通过有限次的迭代达到局部最优，输出聚类结果。

Although many scholars had attempted to define it, the typical definitions of niche are Grinnell's space niche, Elton's functional niche and Hutchinson's hypervolume niche; Niche metrics include niche breadth, niche overlapping, niche volume and niche dimension, among which niche breadth and niche overlapping are two important indexes that can be used to characterize a species niche and the relationships between species niches.

许多学者都试图给生态位下定义，但最具代表性的当推Grinnell、Elton和Hutchinson分别给出的&空间生态位&、&功能生态位&和&多维超体积生态位&定义；生态位测度包括生态位宽度、生态位重叠、生态位体积及生态位维数等，其中生态位宽度和生态位重叠是描述一个物种的生态位以及物种生态位间关系的重要指标。

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。