infinite set

and that this corrected equation is itself only an imperfect approximation to an infinite set of quantum field-theoretical equations.

而这个得以纠正之方程式就其本身而言也只是一个不完美之近似值，趋近于无穷无尽之一整套量子场论方程式。

in this paper, we prove that there is an inconsistency in any infinite set of the classical set theory or the modern axiomatic set theory.

文中证明古典集合论与近代公理集合论中的任何一个无穷集合都是自相矛盾的非集。

a exploration of an infinite set proposition

一个无限集命题的探究

yet for practical reasons we do need some way of picking a finite set from the infinite set of possible ones.

然而，对于实际的原因，我们确实需要挑选一些从可能的无限集合的有限集合的方式。

continuously varying the trap frequency between two neighboring points of the denumerable infinite set, from the quantum perturbation technique we find the energy-band structure based on the exact discrete spectra in which the bands are narrower and the gaps wider.

在该点集内两相邻点之间连续变化阱频，由量子微扰法得到以精确分立谱为基础的能带结构，包括较宽的能隙和较窄的带宽。

in a continuous strategy game, players choose from a wide range of possibilities, a virtually infinite set of choices.

在一个连续策略的博弈中，参与者从一个大的可能性范围，也即本质上无限的集合中做出选择。

it moves information at ever-increasing speeds along a nearly infinite set of pathways, shortening distances and eliminating borders.

它沿着几乎无穷的路径以不停增长的速度传输着各种信息，缩短各种距离，消除各种边界。

as an infinite set of each element, although inexhaustible, yet each different.

就像一个无穷集合里的每个元素，虽然取之不尽，却又各不一样。

to start with, through one constitute of ot grammar, generation system, we generate an infinite set of output candidates for a certain cla from the chinese lexicon.

首先，我们通过优选论的一个组成部分-生成体系从汉语词库中生成某一特定汉语缩略语的一个数量无限的候选输出项集合。

The hammer has an infinite set of practical applications.

它具有无限的实际应用。

the so-called multifractal, which is defined on a fractal structure, is an infinite set composed by fractal measure of many scaling exponents. it depicts the local scale of fractal subset with different scales and scaling exponents.

所谓多重分形，是定义在分形结构上的由多个标度指数的分形测度组成的无限集合，它刻画了分布在子集上的具有不同标度和标度指数的分形子集的局部标度性。

besides, we also discuss the measurement of infinite set and put forward a general idea concerning the definition of granules. 3.

还讨论了无限集的度量，给出了粒度的一般性定义思想。

The main methods to achieve this is the transition from a finite set to infinite set and the coupling of stochastic processes.

可得当位置集为可列集且每次转移多个粒子时，耦合随机徘徊过程是存在的且为一无穷质点马氏过程。

the counting method of infinite set and its application

无限集的计数方法及应用

the concepts of inclusion degree and intersection degree of fuzzy sets were redefined, and fuzzy evidence theory was extended to the circumstance when the framework of discrimination is a continuous and infinite set. the generalized fuzzy evidence theory was applied to reliability assessment successfully.

本文通过重新定义模糊集合的包含度和相交度概念，将模糊证据理论推广到识别框架为连续无限集合的情形，并将其成功应用于产品的可靠性评估工作之中。

if we use infinite set as a whole in solving problems, many students can accept it. at this time, they will pay more attention to the whole and neglect the infinite of the set itself.

无限集如作为整体对待，可以为多数学生接受，这时他们会注重整体，而忽略集合本身的无限性。

The Mapper pattern is a way to direct a bounded infinite set of resource requests to a single physical point of code.

Mapper模式特点如下：将无限的资源请求转向一个单独的物理节点。

this idempotent ultrafilter enables us to find an appropriate infinite set.

这个幂等的超滤子能使我们找到一个适当的无限集。

on infinity in the countable infinite set

可数集合的无穷观问题

[ corollary 1] there exists at least one of the sets of primes-triplet ( namely one subset of the set of 3-primes-group), which is an infinite set.

[推论1]至少有1个3生素数集合（或称3素数组子集）是无限集合；

speaker use a finite set of rules to produce and understand an infinite set of sentences .

说话者可以运用一组数量有限的规则来表达和理解数量无限的句子。

finite set and infinite set

三、有限集和无限集