查询词典 abstract mathematics

Mathematics is the highest recapitulation and abstract description of nature and social phenomenon.

数学是自然现象和社会现象包括工程技术的高度概括和抽象描述。

The key to that is an abstract proof, a mathematical sleight-of-hand that shows irrefutably that Goldbach, a mathematics professor in St Petersburg who went to Moscow as tutor to the family of Tsar Peter II, got it right.

问题的关键是需要有一个绝对的证明，即利用数学技巧来证明哥德巴赫所提出的这一猜想是无可辩驳的。哥德巴赫本人是圣彼德堡的数学教授，他曾在莫斯科被沙皇彼得二世聘为家庭教师。

Process error included using general knowledge and prototype and image replaced mathematics concept, irrationality of classification and comparison, faultiness of generalize and abstract, separation of definition and concept, irrelevancy of applying and relating, and mistake of extending and connecting.

包括用日常生活概念、概念原型、&形象描述&等代替数学概念，分类与比较不合理，概括与抽象不完善，概念定义与概念相脱离，概念运用僵化，建立不恰当的联系，对联系作不正确的推广或依据个人经验强行进行不正确的联系等错误。(2)&合理性&错误。

The modern mathematics has interpenetrated with the other fields, and it has become more and more highly abstract as well.

数学是研究现实世界空间形式和数量关系的一门科学。

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。&

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。