1、

In this note, using the spectral theory of linear operators, a spectral representation of infimum of two self-adjoint operators with respect to the logic order is established.

本文利用线性算子的谱理论给出了逻辑序下两个自伴算子下确界的谱表示。

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2、

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

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

π(N)的上下确界及其近似值

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on the teaching of supremum and infimum

关于确界及确界原理的教学

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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。

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6、

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。

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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。

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8、

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。

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9、

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。

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10、

a simple proof of the principle of supremum and infimum

确界原理的一个简单证明

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on metric description of supremum and infimum of the space of fuzzy numbers

模糊数空间上下确界的度量刻划

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12、

Gives the infimum of the numbers of dege in 2-connected nontrivial geodetic graph; Renew some results.

给出了 非 平凡二连通测地图边数的下确界; 改进了部分结果.

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14、

The greatest lower bound of A is also called the infimum of A.

A的最大下界边称为A的下确界.

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