连续统

Although the axiom of constructibility does resolve CH, it is not generally considered to be intuitively true any more than CH is generally considered to be false.

要反对这一观点，要是能展示一条既能被直观所支持、又能从证明或证否面解决连续统假设的新公理，那就很足够了。

And through the comparison,we obtain the"verb-adjective continuum"as follows:movement behavior verb﹥conation/actuation class psycho-verb﹥thought/cognition class psycho-verb﹥mood/emotion class psycho-verb﹥nature adjective.

并通过比较，得出如下的"动-形连续统"：动作行为动词﹥意动/使动类心理动词﹥思维/认知类心理动词﹥情绪/情感类心理动词﹥性质形容词。

For a continuous map of trees or graphs to itself, we show the properties that every isolated chain recurrent point is an eventually periodic point, and an isolated chain recurrent point which is not in the orbit of a critical point and has no critical point in its orbit is a periodic point.

第三章主要讨论一些特殊连续统上连续自映射的孤立链回归点与最终周期点之间的关系，证明了对树或图上连续自映射，孤立链回归点是最终周期的，且如孤立链回归点不在临界点的轨道中，也无临界点在其轨道中，则此点必为周期的。

In this paper we investigate the dynamical properties of continuous mapson a class of hereditarily decomposable chainable continua and the structure ofthe inverse limit space using a piecewise monotone continuous map with zerotopological entropy on a finite graph as a single bonding map.

本文研究了一类遗传可分可链连续统上连续自映射的动力性质并且对有限图上逐段单调且具有零拓扑熵的连续自映射的逆极限空间的拓扑结构进行了较为细致的刻画。

And we can set up a continuous system among the 5 levels of frequency adverbs.

通过分析得出五级频率副词之间可以建立一个连续统，它们之间以"过"和"着"为双极向性来修饰动词、形容词。

Traffic flow. Continuum hypothesis.

交通流量。连续统假说。

Nonstandard analysis ; nlargements of number systems ; transfer principle ; external producing principle ; comparative principle ; potential numbers ; measure ; continuum ; discontinuum ; cardinal number ; continuum hypothesis ; Hilbert's first problem Ner

非标准分析；数系的扩大；转移原则；外的生成原则；比较原则；潜在数；测度；连续统；离散统；基数；连续统假设； Hilbert第一问题；新的数学实体；不可分的连续体； Zeno的总格言； Aristotle的猜想；庄周；无厚不可积；万世不竭；测度论的基础

Bsed on these results, the contributions of the three mathematicians are fairly judged and commented on, thus the evolvement and development of the Continuum Problem can correctly be understood.

历史地看待3位数学家的贡献有助於做出公允的评判，从而对连续统问题的演化和发展有一个正确地认识。

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下："此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。"

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下：&此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。&

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。