定义区间

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容：在第一部分，我们介绍了本文所用到的几个基本概念和引理；第二部分，我们在二维向量空间中引入了绝对值范数，并且证明了二维向量空间是一个Banach空间；在第三部分中，通过第一部分关于-精细分划的定义，我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件，并讨论了二维向量值函数积分的一些性质。

The concept of G unit interval and the definition of separable degree between elements on G unit interval are given, and some properties are discussed. Based on this concept, it determined a metric p, and ([0, 1], p) becomes a metric space (It is called G unit logical metric space). In this paper, the properties and structure of G unit logical metric space are discussed in detail, and get some good results.

给出了G单位区间[0， 1]的定义并在其上引入了元素间的可分度的概念，讨论了其基本性质，并在此定义的基础上确定了一个度量P，从而([0， 1]， p)成为一个度量空间（文中称"G单位逻辑度量空间"），并对G单位逻辑度量空间的性质及其结构进行了详尽的讨论，并得到一些好的结果。

Two amelioration operators were developed, such as the triangular intuitionistic fuzzy numbers weighted arithmetic average operator, and the f interval-valued intuitionistic fuzzy numbers weighted geometric average operator.

定义了三角和区间直觉模糊集的一些运算法则，给出了直觉模糊集两个改进算子，即三角模糊数加权算术平均算子和区间直觉模糊数加权几何平均算子。

Let be continuous on ,and .If the limit exists and have finite value , the value is the improper integral of on ,which is denoted by,that is

定义1 设函数在区间上连续，取，如果极限存在且为有限值，则此极限为函数在无穷区间上的反常积分，记作，即

In this paper,we build symplectic structure of 2-nd order and high order singular differential operators on infinite interval, we construct a symplectic space by the maximal and minimal operator domain .

本文研究了无穷区间上二阶、高阶奇型微分算子的辛结构，利用最大与最小算子域构造了一个辛空间，用辛空间中的线性流形来刻画定义在无穷区间上二阶、高阶奇型对称微分算子的自共轭扩张问题。

The study of operation of lattice dicision-making By applying the concept, theory, method of lattice theory and graph theory, defining and stipulating the method which can reflect the superior or inferior relation among different elements on lattice, and the variable, parameter, operation rule and the compare method, For example, the preference distance and it's working with relecting the superior or inferior relation among different elements on lattice.

借助格论和图论中的有关概念、理论和方法，定义和规定了能描述格上不同元素之间优劣关系及其联系强度的变量、参数、运算规则及其比较方法，如反映不同决策方案的优劣程度差别的"偏好距离"及其计算，并将此理论运用到了具有区间数的群决策问题中去，给出了区间数的一种格序排列方法。

By decomposing two-dimensional relation into separate one-dimensional relations, then applying one dimensional temporal interval logical concepts in constructing twodimensional interval logic, definitions of relations between twodimensional objects are given.

通过将二维空间关系分解成一维关系，然后借用一维时态区间逻辑关系的思想构建二维区间逻辑，给出了二维对象关系的定义。

The complementary and reciprocal judgment elements in the form of interval numbers, the complementary or reciprocal judgment elements in the form of triangular fuzzy numbers are made uniform into the complementary and reciprocal judgment elements of numerical values by using C-OWA operator,C-OWG operator and the.

定义一类新型混合判断矩阵，利用C-OWA算子、C-OWG算子及三角模糊数期望值公式分别将区间数互补、区间数互反和三角互补互判断元素一致化为数值型互补与互反判断元素。

In terms of the concept of ordering relations of interval numbers based on probability,as well as the practical sense of vote models of Vague sets,the definition of a partial ordering relation of Vague values in the closed subinterval set is given,with which we provide the necessary proofs of some primary properties of Vague relations.

从基于可能度的区间数序关系的概念以及Vague集投票模型的实际意义两个方面，引入闭子区间集中Vague值的偏序关系的定义，并利用偏序关系证明了Vague关系的一些主要性质。

The rate of clinical success, defined as cured plus improved patients, was 75% for levofloxacin and 72.8% for ciprofloxacin (95% confidence interval for the difference in the success rates,-13.27 to 8.87). Microbiologic eradication rates were also similar in both groups (75% for levofloxacin and 76.8% for ciprofloxacin; 95% CI for the difference,-8.98 to 12.58). The most common isolates were Enterococcus faecalis and E. coli . Both regimens were well tolerated, with similar rates of adverse events and of relapse by six months.

治疗成功的定义为患者的病情痊愈并且症状获得改善，结果接受levofloxacin治疗的患者成功率为75%，而接受ciprofloxacin治疗的患者则为72.8%（信赖区间为-13.27 ~ 8.87）；两组的微生物根除率相当（levofloxacin组为75%，ciprofloxacin组为76.8%；信赖区间为-8.98 ~ 12.58）；最常被分离出的病菌为乳酸球菌与大肠杆菌，这两种药物的耐受性都很好，副作用与六个月的复发率也都相当。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失