supremum

via supremum axiom a new real number system is constructed in this paper, then it is proved that the axiom of continuity holds in this system and it is order isomorphic with dedekind's real number system.

利用确界原理构造一个新的实数系统，证明这个系统满足实数连续性公理，并与Dedekind实数系统等价。

互联网摘选

the measurability supremum function in measurable function family

可测函数族的确界函数的可测性

互联网摘选

after the object clusters are gained by the ss/ osf clustering method, and according to the supremum and infimum of object clustering set, the new object can be distributed to all kinds of different clusters.

采用本方法得到高维稀疏数据对象的聚类结果后，可以根据聚类结果中各个对象集合的上确界和下确界为新对象进行对象组分类。

互联网摘选

given a banach space x, let c 0 ( x) denote the space of all sequences in x that converge to 0 in the norm topology ( equipped with the supremum norm).

设X是一Banach空间，C0（X）表示X中所有按范数拓扑收敛于零的序列构成的空间（赋上确界范数）。

互联网摘选

proof of supremum of agent number in security protocol analysis

安全协议分析中参与者个数上确界的论证

互联网摘选

the detailed contents are listed below: part one: firstly, we recall respectively the definitions of weak supremum and infimum of a set which is introduced by tanino.

具体内容共分两部分：第一部分：我们首先重述了Tanino引入的弱上下确界定义以及相关的一些性质。

互联网摘选

on the teaching of supremum and infimum

关于确界及确界原理的教学

互联网摘选

in this article, we study the infinite boundary value problems for first order nonlinear impulsive differential equations with ″ supremum ″ by means of the upper and lower solution method and the monotone iterative technique, and obtain the existence theorems for their extremal solutions.

应用上下解方法和单调迭代技术研究了带有上确界的一阶非线性脉冲微分方程无穷边值问题，并获得了其极值解的存在性结果。

互联网摘选

the supremum of the set in a semi-order banach space and the solution of a class nonlinear operator equation

半序Banach空间中集的上确界及一类非线性算子方程的解

互联网摘选

and then, the supremum f test is applied iteratively to detect the monetary policy adjustment and its effect on management reference of forex rate, aiming to get a more convincible estimation of reference benchmark.

在此基础上，迭代应用上确界F检验，较准确地侦测到汇率政策调整对汇率管理基准的影响，从而获得了更加有效的汇率管理参考基准。

互联网摘选

on upper bound inequality of tail probability for the supremum of a random walk

关于随机游动上确界的尾概率的上界不等式

互联网摘选

the supremum of a class of maximum value problems

一类极大值问题的上确界

互联网摘选

the necessary condition of an important result of the probability that the supremum of a random walk with ( heavy-) tailed increments crosses a curve on a random time interval is presented by using an important property of a general distribution class.

利用一类常见分布族的一个重要性质，给出了增量带重尾分布的随机游动在随机时段内的上确界超越曲线边界的概率的一个重要结果的必要条件。

互联网摘选

the supremum and infimum of π( n) and its approximative value

π（N）的上下确界及其近似值

互联网摘选

The supremum axiom of the reals refers to subsets of the reals and is therefore a second-order logical statement.

实数集的上确界公理用到了实数集的子集，这是一种二阶逻辑的陈述。

互联网摘选

methods of supremum of population standard deviation and variation coefficient

最大标准差和最大变异系数方法

互联网摘选

Third, the convergence and supremum of the algorithm were proved, and the asymptotic time complexity was analyzed;

并分析了该算法的收敛性及渐进时间复杂度；

互联网摘选

further, given the unknown supremum of disturbances, a backstepping control scheme based on rbf neural network is designed. it can compensate the model uncertainties and achieve high-performance control.

进一步，考虑扰动上确界未知的情况，提出了基于RBF神经网络的Backstepping控制算法，可补偿模型不确定性，实现卫星姿态的高性能控制。

互联网摘选

i deal with specifically the degree of surplus and ruin-the distribution of the supremum surplus before ruin and the supremum deficit.

精确地刻画盈余与破产的程度，即破产前最大盈余与破产后最大赤字问题。

互联网摘选

chapter 4 is the main body of the paper, we derived the explicit expression of the joint distribution of the supremum, the infimum and the number of zero in the markov-modulated risk model and some connected results.

第四章作为本文的主体部分，给出了Markov-modulated风险模型中盈余过程在末离零点前极大值、极小值及零点数的联合分布以及一些相关结果。

互联网摘选

ladder height and supremum of a random walk with applications in risk theory

随机游动的阶梯高度和最大值及其在风险理论中的应用

互联网摘选

almost supremum and symmetry of stochastic variable

随机变量的几乎确界与对称性

互联网摘选

moreover, it turns out that the scrambled subsets on fibers are topologically very big, i.e. the supremum of the topological entropy of the scrambled subsets on fibers equals the relative entropy of the given factor map.

事实上，我们还指出；这种情况下，纤维上存在拓扑意义下‘很大’的混沌集，即，纤维上混沌集拓扑熵的上确界恰好等于因子映射的条件拓扑熵。

互联网摘选

asymptotics for the density of the supremum of a random walk with heavy-tailed increments

首次上穿梯高的若干矩的渐近性

互联网摘选

tail asymptotics and local asymptotics for the supremum of a random walk with an infinite mean

均值无限的随机游动上确界的尾渐近性和局部渐近性

互联网摘选

in this paper, we discuss the problems of supremum and infimum of order bounded sets of fuzzy n-cell numbers, that is useful in the definition of some kind of integral about fuzzy n-cell number value ( mappings.)

本文中，我们讨论了在定义模糊n-方体数值映射的某种类型的积分时要用到的序有界模糊n-方体数集的上确界与下确界的问题。

互联网摘选

according to the definite condition, the paper uses the theorem of supremum and infimum to study characteristic of mapping function and get its important law of the mapping.

运用上确界与下确界存在定理，在一定条件下，研究了连续函数的映射特点，得到一个连续函数所独有的映射规律。

互联网摘选

asymptotics for the density of the supremum of a certain kind of random walks

一类随机游动上确界的密度的渐近性

互联网摘选

Property of symmetric random variable is discussed by introducing the concept of almost supremum and infimum.

讨论了具有倒对称随机变量的若干性质.

互联网摘选

Partial ordering, metric description, supremum and infimum of the space of fuzzy numbers

n维模糊数的序、距离、确界及其逼近问题

互联网摘选