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1·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。《柯林斯英汉双解大词典》

2·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。《柯林斯英汉双解大词典》

3·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。

4·Mathematicians, by contrast, tend historically towards solitude.

相比之下，数学家在历史上倾向于独处。

5·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。

6·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。

7·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。

8·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。

9·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”。

10·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。

数学家

1·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。《柯林斯英汉双解大词典》

2·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。

3·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。

4·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。

5·Since Newton’s time, mathematicians and physicist have investigated the tides by considering the response of the oceans to the tide-generating forces.

从牛顿时代以来，数学家和物理学家们就一直通过考虑海洋对引潮力的响应来研究海潮现象。