数学家

这位非科班出身的数学家对数字特别痴迷。

This untutored mathematician had an obsession with numbers

对于数学家来说，不可交换的对象与可交换的对象是一样真实的。

Noncommuting objects are as real to the mathematician as commuting objects .

多年来，日晷一直吸引着科学家和数学家们。

For many years sundials have cast their spell over scientists and mathematicians

由于风险过高，银行便聘请数学家来解决这些问题。

The risks can be so complex that banks hire mathematicians to puzzle them out .

就数学家们来说，用学者的眼光来看问题不无裨益。

As far as mathematicians are concerned , there 's a certain virtue in wearing intellectual blinkers

只有每一逻辑步骤都被其他数学家验证之后，证明才能成立。

Only when each logical step has been checked by other mathematicians will the proof be accepted .

数学家们转而去挑选周期解。

The mathematicians turned to culling periodic solutions .

虽然人类数学成就的复杂性持续再创新高，但我们当中许多本身并非数学家(或者职业并非工程师）的人，可能很难记住我们最后一次使用微积分是什么时候了。

While human achievements in mathematics continue to reach new levels of complexity , many of us who aren 't mathematicians at heart ( or engineers by trade ) may struggle to remember the last time we used calculus .

例如，谈论数学天才或多或少生来就这样，这种方法会使学生形成固定思维，但描述一位爱上数学并成长为具有惊人技能的伟大数学家，则会形成成长型思维模式。

For instance , talking about mathematical geniuses who were more or less born that way puts students in a fixed mind-set , but descriptions of great mathematicians who fell in love with math and developed amazing skills produce a growth mind-set .

1960年，著名数学家诺伯特·维纳，即控制论的创立者，这样说道：“如果我们要用它来达到我们的目的，即一个机械体，但是我们的操作不能有效地干预，那么我们最好确定我们对这个机械的目的是我们真正想要的目的。

In 1960 a well-known mathematician Norbert Wiener , who founded the field of cybernetics , put it this way ： " If we use , to achieve our purposes , a mechanical agency with whose operation we cannot effectively interfere , we had better be quite sure that the purpose put into the machine is the purpose which we really desire ． "

这位数学家再次分析研究了他的这些数字。

The mathematician analyzed his figures again .

如著名的哲学家和数学家B·罗素。

For example the famous philosopher and mathematician & B · Russell .

菲尔兹奖是由加拿大数学家约翰·查尔斯·菲尔兹（JohnCharlesFields）设立的，用以表彰已经完成的工作，并鼓励得主获取进一步的成就。

The Fields Medal was conceived by John Charles Fields , a Canadian mathematician , in recognition of work already done and as an encouragement for further achievement .

许多著名的数学家的工作都涉及到这一领域。但目前关于方程组的工作主要局限于Cauchy问题。

Many famous mathematicians have worked in this area , but most results are about the Cauchy problem .

一年后，1889年，意大利数学家G.皮亚诺对此给出了标准化的公理。

A year later , in 1889 , the Italian mathematician G. Peano gave the axioms in what became the standard form .

一名伊朗数学家成了首位荣获菲尔茨奖（FieldsMedal）的女性；该奖项被认为是数学界的诺贝尔奖（NobelPrize）。

An Iranian mathematician is the first woman ever to receive a Fields Medal , often considered to be mathematics ' equivalent of the Nobel Prize .

很多人都听说过艾伦·图灵（AlanTuring），知道他是一位数学家和逻辑学家，在1935年发明了现代计算。

Many have heard of Alan Turing , the mathematician and logician who invented modern computing in 1935 .

随后在1933年，剑桥的一位数学家S.斯奇乌斯表明，如果黎曼猜想是成立的，那么就会在之前找到一个转折点。

Then in 1933 a Cambridge mathematician , S. Skewes , had shown19 that if the Riemann Hypothesis were true , a crossover point would occur before which ,

虽然我们经常把距离当作是空间中二点之间的物理度量，但是数学家则用更具一般性的概念把它定义为度量（metric）。

Although we often think of distance as being a physical measurement between two points in space , mathematicians define it more generally , calling it a metric .

这个专有共享软件计算机代数系统是为纪念已故最著名数学家之一PierredeFermat而命名的。

This proprietary , shareware computer algebra system is named for one of the most famous mathematicians who ever lived : Pierre de Fermat .

这个完美停车公式是最近由伦敦大学的数学家SimonBlackburn教授提出的。

The formula for the perfect parking job was recently worked out by mathematician Simon Blackburn , professor at the University of London .

p-adic数最早由德国数学家K。

P-adic numbers were first introduced in 1898 by the German mathematician K.

TSP问题是组合优化问题的一个典型代表，数学家已经证明在图灵机上无法获得其精确的最优解，它属于NP难的问题。

TSP ( Traveling Salesman Problem ) is a classic combination optimizing problem , which has been proved as NP-hard problem that can 't be solved in Turing maching .

因此，如何求Bergman核函数的显表达式一直是多复变函数论的一个重要的研究方向，至今仍吸引着许多数学家对此进行研究。

Therefore , computation of the Bergman kernel function by explicit formula is an important research direction in several complex variables .

去年夏天，当苹果（Apple）股价达到260美元时，我们基于尼古拉•米哈拉齐的分析数据发表了一篇文章。米哈拉齐是一位罗马尼亚裔数学家，在巴黎大学任教。

Last summer , when Apple ( AAPL ) was trading for $ 260 a share , we ran an item on some analytical work by Nicholae Mihalache , a Romanian mathematician who teaches at the University of Paris .

关于一个由波兰数学家S.乌拉姆提出的问题：能不能用有限群来逼近连续群，比如说能不能用多边体来逼近一个球。

It was a problem suggested by the emigr é Polish mathematician S. Ulam , that of asking whether continuous groups could be approximated by finite groups , rather like approximating a sphere by polyhedra .

上世纪80年代以来这一问题的研究已与分支理论相结合。有许多数学家致力于研究Hilbert第16问题或1977年由V.I.Arnold提出的它的弱问题。

This research has combined with bifurcation theory since 1980s.There are many mathematicians devoting themselves to studying the Hilbert 16th problem or its weak form , posed by Arnold in 1977 .

芝加哥大学（UniversityofChicago）的数学家开发了模型。这个模型可以估计出，假如对公牛的体重真的有过很多猜测，这些猜测的平均值会是多少。

Mathematicians from the University of Chicago developed models from which it was possible to estimate what , if there had actually been many guesses as to the weight of the animal , the average of these guesses would have been .

杜罗夫向哥哥尼古拉（Nikolai）学会了编程。尼古拉是一名数学家，也是杜罗夫在VKontakte和Telegram的得力助手。

Mr. Durov learned programming from his brother , Nikolai , a mathematician and Mr. Durov 's right-hand man at VKontakte and Telegram .

古典时期的另一伟大希腊数学家是Apollonius。

The other great Greek who belongs to the classical period , is Apollonius .