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。
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。
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。
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。
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”。
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。
He told me where to meet the two mathematicians.
他告诉我去哪里会见那两位数学家。
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。
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 trefoil is the simplest knot in mathematicians' classification.
按照数学家们的分类，三叶形是最简单的纽结。 所谓纽结，它是三维空间中不与自己相交的封闭曲线，或者说是三维空间中与圆周同胚的图形。
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。
This is one of the reasons why some mathematicians dislike the axiom of choice.
这是一些数学家不喜欢选择公理的理由之一。
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。
It seems to be an impossible solution, but the mathematicians assure us that it can be done.
这似乎是个不可能成立的解答，但数学家对我们保证说这可以做。
As mathematicians say, “Every simply connected closed 3-manifold is homeomorphic to a 3-sphere.”
用数学语言表达就是“每个单连通3重（3-manifold）封闭体与一个三维球体同胚（homeomorphic）。”
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。
Wednesday – not Monday – is the worst day of the week, according to research by two American applied mathematicians。
美国两位应用数学家研究发现，一周中最郁闷的一天是周三，而不是周一。
No wonder it is sometimes said that Mr Gardner made mathematicians out of children and children out of mathematicians.
难怪时常有人说，加德纳先生使黄口小儿成为日后的数学巨匠，使数学巨匠的作品走入黄口小儿的世界。
However, in the mid-90s a group of mathematicians devised a technique for reducing the dimensionality of complex data sets.
然而，上世纪90年代中期有一组数学家设计出了一种方法，能够对复杂的数据集进行降维。
Siblings of mathematicians also have a higher risk of autism, suggesting the link between maths and autism is genetically mediated.
数学家们的同胞手足中有孤独症的比例较高，说明数学与孤独症的关联确有遗传学的因素在内。
Many mathematicians simply set nettlesome questions like these aside and get back to the more pleasant business of proving theorems.
许多数学家只是把这些恼人的问题简单地弃置一旁，而忙于类似定理证明这样更有趣的事务。
Many mathematicians simply set nettlesome questions like these aside and get back to the more pleasant business of proving theorems.
许多数学家只是把这些恼人的问题简单地弃置一旁，而忙于类似定理证明这样更有趣的事务。
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