实数

The term "isometry" has an advantage in that it can be used to treat the real and complex cases simultaneously, but for clarity we will often revert back to the more cumbersome " orthogonal " and " unitary " terminology.

参考译文：等距映射有一个优点是：它可同时用于研究实数和复数情况，要不是透明我们意志经常恢复到越多麻烦的正交和酉矩阵术语学。

With the new matrix, first the inequality in reference [1] was extended to the case of positive rational number n/m, then by taking the limit, the above case was further extended to the case of positive real number.

利用该矩阵，将文献[1]中的不等式推广到正有理数n/m的情形。然后应用极限将正有理数的情形推广到正实数。

Paper puts forward the method of read DICOM field in term of sequence, reduces the time of read DICOM file in order to mend the arithmetic efficiency of read DICOM file information. Paper introduces two concept, slope and shift, reduces the linear interpolation function of VOI LUT (Value of Interest Look Up Table), and uses the way of make real number operation into integer operation to simplification the linear map function, thereby makes the image zoom speed up. Paper depicts the class and function of image measure and label particular at last, and analyses actualize step of the operation of measure and label.

论文提出严格按照顺序读取DICOM字段的做法，尽量减少访问DICOM文件的时间以加快读取DICOM文件信息的算法效率；论文中引入斜率和偏移量这两个概念，简化了VOI LUT转换的线性插值函数，并采用将实数乘除转化为整数运算的方法简化线性映射函数，从而加快了图像缩放的速度；论文最后详细描述了图像测量和标注用到的类和函数，并分析了具体的测量和标注操作的实现步骤。

In this paper, the Lipschitz condition in calculus is generalized into metric space.

将数学分析中的Lipschitz条件在实数空间上的应用推广到度量空间上。

In§5.4,we discuss the hypothesis test problemwhen the location and scale parameter may all change.

5.3讨论尺度参数变点的假设检验问题，引述Wangand Bhatti(1998a)的结果，利用Csorgo and Horváth(1997)的定理，对于Wang andBhatti(1998a)提出的检验统计量〓，其中〓，我们获得了〓的大样本性质，即对于一切实数x〓11进一步地，给出变点〓的估计〓，利用Csorgo and Horváth(1997)的推论1.6.2，我们讨论了变点估计〓的渐近性质，由此，可以给出变点〓的区间估计，〓12其中〓，〓满足〓和〓，这里〓为〓的分布函数。

The allocation of a fixed number of bits for the mantissa means that only certain numbers are accurately represented.

为尾数分配固定数量的位意味着——只有某些实数可被准确的表示。

Supposeis two-dimension random variable, is unity density function and marginal density function leave each other, then sufficient and necessary condition for independence of and is: for all real values ,there are .

Theorem 3.3 设是二维连续型随机变量，分别是联合密度函数与边缘密度函数，则相互独立的充要条件是：对任意的实数，都有。

In this paper, a real-valued-coding niche genetic algorithm modifying the binary-coding niche genetic algorithm (Goldberg and Richardson, 1987) is developed for searching global minimum value of a multiple-peak function efficiently.

本文修改Goldberg 与 Richardson(1987)提出之二位元编码利基遗传演算法，发展一实数编码利基遗传演算法以搜寻多峰多谷函数之全域最小值。

According to the character of the problem, a DNA algorithm solving the Minimum Spanning Tree Problem is given.

本文提出了一个适合生物学特征的实数的编码方案，该方案的编码有固定长度。

In section two,we will prove thatχ_s=εΔ,where T is a tree andε(∈[1,2]) is a real number,by using the result of tree,we bound the star chromatic index of Halin graphs and monocycle graphs.

第二节研究了树的星边染色，证明了对最大度为Δ的树T，存在实数ε(1≤ε≤2)使得χ_s=εΔ，最后利用树的结果给出了Halin图和单圈图星边色数的上界。

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。