数一数

Combining the definition of CWT and the derivative property of convolution, we constructed a general method to calculate the approximate derivative of signal through CWT by using the first and second derivative of Gaussian function, Haar, and the first derivative of three-order-Spline function as wavelets. As compared with the other approaches of calculating derivative, which include the numerical differentiation, polynomial filters, Fourier transform, and the recently proposed DWT method, fast calculation and simple mathematical operation were remarkable advantages of CWT method. For the signal corrupted by severe noise (Signal-toNoise Ratio=5), the satisfactory results could also obtained via CWT method through appropriately adiusting the dilations.

在此基础上，(1)结合连续小波变换的特点和卷积的微分性质，提出了使用Gaussian函数的一阶和二阶导数，Haar和三次样条函数的一阶导数作为小波函数的连续小波变换计算信号近似导数的一般性方法，与其他导数计算方法(包括数字微分法，多项式滤波法，Fourier变换法和离散小波变换法)相比，本法简单便捷，计算速度快，对于噪声含量较高的信号(S/N为5)，只要适当调节尺度即可获得比较满意的结果。

A number that typifies a set of numbers, such as a geometric mean or an arithmetic mean.

中数：代表一组数的一个数，如几何中数或算术中数

I list the worst: A dozen opium-smoking pipes, Several opium-smoking lamps, An official with an opium-smoking face, Several daggers, Some pictures of murderous-looking people, A miniature magistrate, A set of instruments of torture, A cangue, Foot-bound women in Shanghai, Beijing, Guangdong and Ningbo costumes, Several hundred small wooden figures of such people as beggars, opium-addicts, criminals, coolie, concubines , prostitutes, etc… The government spent millions.

兹录其尤甚者如左：烟枪十余技，烟灯数枚，满面烟容之官员一。杀人刀数柄，杀人小照数方，雏形知县署一。各种酷刑俱备，枷一。上海、北京、广东、宁波装小足妇人各一。小木人数百枚，乞丐、烟鬼、囚犯、苦工、娼妓之类。小草屋十余间。苗蛮七，绿营兵一。翰林、进土、举人、秀才各一，均高四尺以上，背驼面目枯瘠。

The conceptions of the superiority, inferiority and equipollence position degrees of the interval grey number were defined, and it was proved that the sum of three position degrees for a certain interval grey number related to another grey number is 1, and that the relation set of the position degrees is a whole order set of the interval grey numbers.

运用灰色系统思想和系统工程的理论，揭示了人们在灰信息条件下的博弈心理与博弈决策规则；提出了区间灰数的优势、均势和劣势的概念；证明了与某一区间灰数相对的另一区间的各种灰数势之和为1，且灰数势大小关系的集合是一个全序集。

Because of the condition of 〓 for two neighbour parametricspline surfaces is too strong,here,instead of it,some simple and practicableconditions of 〓 resulted from the general theorem obtained by Prof.LiuDing Yuan in Chapter 1 were proved,and three 〓 triangular splinesurfaces schemes wre presented:one is piecewise cubic spline surface patcheshaving local 〓 and whole 〓 continuity based on the refined HCTtriangulation,another is the same degree spline surface patches but based onthe refined Powell-Sabin triangulation,the third is piecewise quartic splinesurface patches having local 〓 and whole 〓 continuity based on therefined P-S triangulation.

由于对参数曲面，一阶导数连续的要求较强，我们采用第一章从刘鼎元定理导出的简单实用的几何连续条件，讨论了基于HCT加细三角剖分和P-S加细三角剖分上的两种局部达一阶导数连续而整体有一阶几何连续的分片三次样条曲面构造算法，一种局部达二阶导数连续整体有一阶几何连续的分片四次样条曲面构造方法。

If ris also irreducible in Z_nand f~n~κ≡fmodn,r(xfor all f∈Z_nthen we call n a Carmichael number of orderκmodulo r.Denote the set of all such numbers by C_κ,r(x.Define C_κ=∪_r(xC_κ,r(x,where rpasses through all monic irreducible polynomials over Z of degreeκ.We call elements of the set C_κCarmichael numbers of orderκ.ZHU and SUN[Journal of Sichuan University,42;1(2005), 47-51]first gave a necessary condition for Carmichael numbers of order 3.Then they gave a sufficient condition for Carmichael numbers of order 3,but did not find any such numbers less than 10~8 satisfying the sufficient condition.At last,they asked three questions;1.is the necessary condition also sufficient?

f∈Z_n，就称n是模r的κ阶Carmichael数，用C_κ，r(x表示所有这种数的集合，定义C_κ=∪_r(xC_κ，r(x，这里r跑遍Z中所有κ次首一不可约多项式，C_κ里面的元素就称为κ阶Carmichael数，C_κ称为κ阶Carmichael数集，朱文余和孙琦[四川大学学报，42；1(2005)，47-51]首先给出了3阶Carmichael数的一个必要条件；然后又给出了这种数的一个充分条件，并发现10~8内没有满足此充分条件的这种数；最后他们提出三个问题；一、问必要条件是否也是充分的？

There is so much out there in the name of Nadi Astrology.

其方法与性质很像我们的铁版神数，那些一片片干枯的棕榈叶，就好像铁版数，也是一条一条的条列，包括六亲、姓名……只是铁版数是分开条列，而Nadi是"整合"在一片叶子上。

Then,we improve CSFP Model in two aspects:when we ascertain the frequency of default,we use negative binomial distribution to substitute Poisson distribution so that the model can measure the data better;when we ascertain the loss distribution of default,we use Γ-distribution to substitute normal distribution.

其创新与特色一是对贷款组合的风险暴露数进行分段，在每一频段上分别确定风险暴露数分布，进而可以更准确的描述各笔贷款的风险暴露数。二是在确定风险暴露数分布时，用Γ分布替代了传统的正态分布，解决了贷款违约的风险暴露数分布的厚尾问题，进而解决了大宗贷款违约的风险度量问题。三是确定违约频率时，用负二项分布来代替传统的泊松分布，解决了违约频率的方差通常要大于其均值的分布拟合问题。

In this paper, we first show that the matrix2-norm is the only norm which is not only an operator norm but also a unitarily invariantnorm.

在［l，p.94］中曾提到，向量作为矩阵看待，归范化的西不变范数只有2一范数，本文将这一结论推广成，一个矩阵范数如果它既是算子范数又是规范化的西不变

ABSTRACT It is because that the excellent acceptors for maize transgenic engineering are insufficient in our country, especially in the southwest mountain areas of china and hereditary variation regularity for the two characters such as efficiency of embryonic callus induction and number of regenerating plant (these two characters were abbreviated to the nduction efficiency and number of regenerating in the following of the paper, respectively), which hint the maize culturing capacity, is not very clear. Therefore, aiming at picking out superior acceptors, we had made systematic researches on the two characters with combing traditional quantitative-character genetic analyzing methods such as single-factor genetic mating design, diallel crossing genetic design, genetic effect analyzing method and the modern molecular locating method such as QTLs'. The main results are followed.(1) 50 superior inbred lines and about 30 crosses in our country, especially in the southwest of China were used for identifying and selecting the superior genotypes in the above two investigated characters under the same culturing condition in 2000 and 2001. There was very significant difference among the genotypes in the both characters. But the two characters were not certainly related. Some genotypes such as 18-599 and 18-599 were very good in them. For some ones such as zong 31, induction was higher than 18-599 and 18-599 in the efficiency, but it was only 1/3 to the later in regenerating number. In some genotypes such as S37, R08, R15, P138, A318, induction efficiency was just about 3% and scarcely any regenerating plants were got. On the whole, hybrids acted better than inbreeds in the both characters.(2) Two kind of inbreeds were selected as parents of the Griffing's method 1. 18-599 and 18-599 and the inbred line zong 31 are one kind because they are not only superior in the characters of maize cross breeding, such as CA, resistance to disease and the important agricultural characters, but also excellent in transformation characters as the induction and regeneration.

针对我国、特别是西南山地所需玉米转基因工程育种优良受体极为匮乏和反应玉米幼胚培养能力的2个主要性状，即玉米幼胚胚性愈伤组织诱导率和胚性愈伤组织绿苗发生数的遗传变异规律十分不清楚的实际情况，本研究从筛选玉米转基因工程所需要的优良受体入手，采用单因素遗传交配设计、双列杂交遗传交配设计、世代基因效应等传统数量性状分析方法，以及现代分子标记定位主效QTL分析方法，对玉米幼胚胚性愈伤组织诱导率和胚性愈伤组织绿苗发生数等2个性状进行了较为系统的分析研究，取得以下主要研究结果：(1)于2000年和2001年通过对我国、特别是西南地区近50份优良自交系和近30个杂交组合，在相同培养条件下，对幼胚培养胚性愈伤组织诱导率和胚性愈伤组织绿苗发生数等2个幼胚培养能力性状进行了筛选与鉴定，发现玉米不同基因型具有完全不同的幼胚培养胚性愈伤组织诱导率和胚性愈伤组织绿苗发生数，但幼胚培养胚性愈伤组织诱导率与胚性愈伤组织绿苗发生数并不具有必然的相关关系，有的基因型，如自交系18-599和18-599在胚性愈伤组织诱导率和愈伤组织绿苗发生数等2个性状都表现相当优异；有的基因型，如自交系综31，仅幼胚培养胚性愈伤组织诱导率性状表现高于19-599和18-599，但在胚性愈伤组织绿苗发生数这一性状则与它们有相当大的差距，仅为19-599和18-599的1/3左右；有的基因型，如S37、R08、R15、P138、A318等玉米自交系不仅幼胚培养胚性愈伤组织诱导率很低，平均仅在3％左右，而且胚性愈伤组织绿苗发生数表现也很差，基本上没有分化成苗。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。