无穷

By introducing a concept of δ-fine partition on infinite interval the-integral of vector-valued functions on infinite interval was made entirely harmonic with that on finite interval.

通过引入无穷区间上δ-精细分法的概念，使无穷区间上向量值函数积分与有限区间上的积分在形式上完全和谐，并证明其与Cauchy扩张的方法和简单积分的思想是等价的。

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。

Ablish two decision theorems of relative compactness for unbounded function groups in an infinite interval.

sect；2.3我们建立了判定无穷区间上抽象无界连续函数组和抽象无界可微函数组相对紧性的充分必要条件，并对无穷区间上抽象二阶微分方程两点边值问题无界解的存在性做了研究。

We analyze the essence of affine reconstruction and prove the sufficient conditions that a reversible matrix can be an infinite plane homography matrix and we can not uniquely decide an infinite plane homography matrix from fundamental matrix.

详细分析了仿射重构的本质，证明了可逆矩阵为无穷远平面单应矩阵的充分条件，以及从基本矩阵无法唯一确定无穷远平面单应矩阵。

Pi, expressed as an infinite series and an infinite product.

丕表示，作为一个无穷级数和无穷乘积。

It is pointed out that the complete infinite sequence of natural numbers cannot consist of only finite ordinals, thus a kind of so-called "potential tail" may be defined.

指出了一个完全的自然数无穷序列不可能由且仅由无穷多个有穷序数去组成，如此就引进并定义了叫做"潜尾"的概念。

As analysis becoming more and more rigorous, the theory of infinite series has come into being, which promote the development of mathematics largely.With the development of infinite series as the center, with the variation of thought after t...

本文以无穷级数的发展为中心，以无穷进入数学前后思想变化为线索，系统分析了级数理论形成的历史背景，通过对主要人物工作的总结，概括了级数理论的建立及其发展的过程。

It is only by assuming an infinitely small magnitude, and a progression rising from it up to a tenth, and taking the sum of that geometrical progression, that we can arrive at the solution of the problem.

只有假设出无穷小数和由无穷小数产生的十分之一以下的级数，再求出这一几何级数的总量，我们才能得出问题的答案。

Each step of the iteration is to solve a linear semi-infinite programming that is transformed into a linear programming by frequency discretization.

每步迭代都是求解一个线性半无穷规划，通过离散化处理线性半无穷规划可以转化为线性规划来求解。

To study the limit behavior of computations, the procedure scheme (Li, 1992, 1999) is generalized to model convergent infinite computations for analyzing how an infinite computation interacts and evolves in changing environments and what the limit of the evolution might be. The model is based on classical computation model Turing machine and Li's limit theory of sequences of formal systems.

收敛无穷计算的模型过程模式：本文将李未提出的过程模式推广为更一般的刻画收敛无穷计算的模型，该模型是基于经典计算模型Turing机和形式系统序列及其极限的理论的，可以用过程模式刻画网络上长期运行程序的计算特性与动态行为。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。