查询词典 constructive mathematics

The model hypothesises are proposed,and the initial mathematics model is established.

通过这种试验，不断发现和消除系统性缺陷，提高产品的可靠性。

What's more, mathematical applications in real life also depends on may hypothesises! Even the most pure and logical theory of mathematics, like algebra, are based on assumptions.

别老拿现有的已证实的理论来比较未经证实，你知道那些已经被证实的理论在被证实之前是什么样子吗？

This paper discusses how to teach students"the product of infinite infinitesimals isn t necessarily infinitesimal" in teaching "advanced mathematics" Or "Mathematical Analysis",and the author provides some new original examples which had not been seen in currently available textbook and riches the teaching content.

文章对&无穷多个无穷小的乘积不一定是无穷小&这一知识点在&高等数学&或&数学分析&的教学中如何讲授给学生进行了一些有益的探讨，并给出了一些在现有教科书及参考书中未曾见过的独创的新例子，从而丰富了教学内容。

Reaching infinitesimals , mathematics, the most exact of the sciences, leaves the process of analysis and enters on a new process of approximating to summing up the unknown infinitesimals .

数学这门最精密的科学获得无限小数的时候，便放弃解析的过程，开始总和未知的无限小数的新过程。

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 test presents multiple-choice questions that require you to use reasoning skills to solve practical problems in mathematics.

测试为多项选择题，要求学生使用一些推理技巧来解决一些实际的数学问题。

Yet premature pragmatism has become as popular on campuses as in past eras. There has been a rapid decline, just since 1970's, in the number of students majoring in mind-expanding fields like history and mathematics.

然而，幼稚的实用主义已经在校园里非常流行，正如过去的状况。20世纪70年代以来，学习思维扩展专业，比如历史和数学的学生人数锐减。

We now have a vast field and a large number of professional mathematicians whose major work is mathematics.

现在我们拥有了广阔的领域和大量专门从事数学研究的专家。

The problem-solving teaching has become a major mode in mathematics education.

问题解决教学已经成为数学教学的一种主要模式。

2High school student mathematics academics ego supervision the exaltation of ability, depend on to turn training in the more long-playing procedure, make the student will show outside of training inside change into a kind of ego consciousness, need to be a very long of process.

中学生数学学科自我监控能力的提高，依赖于较长时间的程序化训练，要使学生将外显的训练内化为一种自我意识，需要一个相当长的过程。

Finally, the Knight strung a line between two of the monoliths and tied the horses up there.

最后，骑士们在两颗巨石之间拉了一条绳子，将他们的座骑绑在上面。

T7zN/hyS0 The island lies south by east from here.

那个岛位于此地的正南偏东方向。