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

这类风险可以是如此复杂以至于银行雇佣数学家们去评估它们。

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

只有在每个逻辑步骤都由其他数学家验证之后，该证明才会被接受。

Some present the lives of colorful mathematicians.

其中一些展示了丰富多彩的数学家的生活。

Mathematicians, by contrast, tend historically towards solitude.

相比之下，数学家在历史上倾向于独处。

To mathematicians, a chair is equivalent to an apple; a mug—at least, one with a handle—is like a doughnut.

对于数学家而言，一把椅子相当于一个苹果；一个杯子——至少是有把手的——就像一个油炸圈饼。

Mathematicians describe his results as elegant and beautiful but they are much too complex to be appreciated by laymen.

数学家描述他的结果是优雅而美丽的，但是这些结果太复杂了，外行人无法欣赏。

In their groundbreaking work regarding complexity and the limitations of formal systems, mathematicians Gregory Chaitin and A.N. Kolmogorov force us to consider this last claim more closely.

数学家 Gregory Chaitin 和 A.N.Kolmogorov 在他们关于复杂性和形式系统的局限性的开创性工作中，迫使我们更仔细地考虑最后一个说法。

Zu Chongzhi was one of the greatest mathematicians in ancient China.

祖冲之是中国古代最伟大的数学家之一。

In order to remember Zu, some mathematicians suggest calling pi "Zu Lv".

为了纪念祖，一些数学家建议称圆周率为“祖率”。

About half of the mathematicians studied by Benjamin Bloom had little good to say about school.

本杰明·布卢姆研究过的数学家中，约有一半人对学校没有什么好感。

We are trained as engineers, not as mathematicians.

本质上，我们是工程师而不是数学家。

Right now, it seems to be focused on mathematicians.

现在的用户似乎以数学家为主。

Mathematicians and scientists call such graphs curves.

数学家和科学家称它们为图形曲线，尽管是直线。

And for centuries the number has fascinated mathematicians.

数百年来，这个数字令无数数学家着迷。

And they play with Numbers, so they are pure mathematicians.

他们玩数字的游戏，所以他们都是纯粹的数学家。

Several mathematicians resolved to bring order our of chaos.

几个为数学家决心从这种混乱中理出秩序来。

But mathematicians are still to have their Mendeleev moment.

但是数学家们仍然学要他们的门捷列夫。

FOR more than a century mathematicians have known about Lie groups.

数学家对李群的认识已经有一个多世纪了。

The astute or the mathematicians will realize that what will happen here?

机敏的人或数学家将认识到,这里将发生什么？

Strangely, mathematicians insist 11 is a “strictly non-palindromic number”.

奇怪的是，数学家们坚持说11“严格地说不是一个回文数字”。

While both men are mathematicians and artists, they have clear specialties.

虽然父子俩都既是数学家又是艺术家，但他们各有特长。

A team of mathematicians were required to measure the height of a flagpole.

有人要求一队数学家去测量一根旗杆的高度。

Daniel Bernoulli (1700-82) was born into a family of distinguished mathematicians.

丹尼尔·伯努利(Daniel Bernoulli)(1700 - 1782)生于一个杰出的数学世家。

Mathematicians have studied the golden ratio because of its unique and interesting properties.

而数学家研究这个比例是因为其独特而有趣的性能。

The challenge for mathematicians became how to classify the complete set of these simple groups.

数学家的挑战在于，如何对这些简单群的完整集合进行分类。

But at my school there was no future in that. No international mathematicians came out of my school.

我数学一直很好，但是在我的学校那是没有前途的，没有一个世界级的数学家在我们学校诞生。

To mathematicians, a chair is equivalent to an apple; a mug-at least, one with a handle-is like a doughnut.

对于数学家而言，一把椅子就相当于一个苹果，一个带柄的杯子就像一个油炸圈饼。

Mathematicians write this number as 1015: the superscript tells you how many zeros there are after the one.

数学家们将这个数字写成1015：右上角的数字告诉你‘1’之后有多少个‘0’。