查询词典 infinitely continuously derivable function

Some of the oldest open problems in mathematics relate to the abundancy index of a number. Are there infinitely many perfect numbers? Does there exist an odd perfect number? Does there exist an odd multiply perfect number? Such questions have been considered for well over two millennia by the likes of Euclid, Fermat, Descartes, Mersenne, Legendre, and Euler.

暑期的数学研究已渐渐步入正轨，今天上午和导师讨论的时候提出了第一个conjecture，说是虽然6和12的倍数的abundancy index比较高，但是如果把两个相邻的数字相乘，他们乘积的abundancy index总体来说会甚至更高。

Instead, time is a rigid, bonelike structure, extending infinitely ahead and behind, fossilizing the future as well as the past.

时间是个僵直的结构，向前向后无尽地延伸，使将来和过去硬邦邦。

A product of countably infinitely many copies of the discrete space

可数多个离散空间{0，1}的乘积同胚于

Then again, they seem majestic and infinitely far away, chubby and mild in some places, full of grotesque, cragged towers in others.

然后忽而间，它们卻又变得神秘莫测遥不可及，弥散开来消失在不知何处，转而变化成各式古怪的形象相互穿行而过。

That the limit of solid content of distillage, distillage filtrate and filtration residue exists when distillage filtrate is recycled infinitely.

证明酒糟、液和滤渣固形物含量在全回流无限循环时存在极限。

In the theoretic studies, however, in most papers it was assumed that the plasma is immersed in an infinitely strong confining magnetic field. But the confining magnetic field is always finitely strong in reality.

然而在以往的理论研究中，很多学者都假定外加磁场为无限大，但实际中外加的磁场的总是有限的。

One describes the infinitely repeated model and the other the finitely repeated model. The relevant results are put forward after giving the above-mentioned two quantitative expressions.

在分别给出了上述两种模型的定量化表达式后，针对模型各自的特点结合相应的分析并得到了对应的结论。

In this notion of the divine the originating religious categories of power, person, and order are infinitely transcended as characteristics essentially related to finitude and therefore antithetical to the divine.

在这种观念的神圣起源的宗教类的权力，任何人，并命令是无限超越作为特征基本上与有限性，因此，对立的神明。

Since the analytical solution was derived under the condition of an-infinitely wide slope, the shape of parabolic sections of general grassed channel needs to be considered. This work uses the results of Hey (1979) to build the shape factor, which can be used to design a grassed channel with a parabolic section.

但因其解假设条件为无限宽敞的渠道，而一般草沟设计则常用抛物线形断面，本研究用Hey(1979)找出修正形因子之系，可应用於设计草沟之水分析。

We deem it the central revelation of Western experience that man cannot ineradicably stain himself, for the wells of regeneration are infinitely deep....

我们把这个视作西方历史的核心启示：没有什么恶行不能被清算，因为再生是无穷无尽的。。。

Bob Eckert has been chairman and chief executive of Mattel for eight years.

美泰董事长兼首席执行官鲍勃·埃克尔特在任已8年。

The outlook for honors and disgraces carries on and surpasses the traditional outlook for honors and disgraces theoretically, and carries on and develops the theory of construction of socialist mora...

社会主义荣辱观的提出在理论上是对传统荣辱观的一次继承和超越，是对社会主义道德建设理论的继承和发展，在实践上有利于形成良好的社会风尚。