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。
Only when each logical step has been checked by other mathematicians will the proof be accepted.
这位未接受过正式教育的数学家对数字十分痴迷。
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。
The risks can be so complex that banks hire mathematicians to assess them.
相比之下，数学家在历史上倾向于独处。
Mathematicians, by contrast, tend historically towards solitude.
其中一些展示了丰富多彩的数学家的生活。
死亡的胜利，拉布引用了一段数学家帕斯卡的对话。
The Triumph of death, the dialogue of the mathematician Pascal is quoted by Rabb.
尽管爱因斯坦是更好的物理学家，但希尔伯特是更好的数学家。
Although Einstein was the better physicist, Hilbert was the better mathematician.
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。
Mathematicians describe his results as elegant and beautiful but they are much too complex to be appreciated by laymen.
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。
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.
根据法因戈尔德的说法，伏尔泰的书吸引了广泛的读者，因为“他既不是数学家也不是物理学家，而是一个远离牛顿思想学术之争的文学巨人”。
Voltaire's book commanded a wide audience, according to Feingold, because "he was neither a mathematician nor a physicist, but a literary giant aloof from the academic disputes over Newtonian ideas".
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。
About half of the mathematicians studied by Benjamin Bloom had little good to say about school.
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。
To mathematicians, a chair is equivalent to an apple; a mug—at least, one with a handle—is like a doughnut.
当然，你可以只写上你的名字和电话号码，或者按你的情况，写上数学家教的经历。
Of course you can only fit your name and phone number, and in your case, math tutoring on it.
祖冲之是中国古代最伟大的数学家之一。
Zu Chongzhi was one of the greatest mathematicians in ancient China.
这位伟大的数学家从未看到他的日历投入使用。
The great mathematician never saw his calendar put into use.
为了纪念祖，一些数学家建议称圆周率为“祖率”。
In order to remember Zu, some mathematicians suggest calling pi "Zu Lv".
1965年，一位想象力丰富的数学家欧文·古德推测说，人们终会发明出一台“超智能机器”，不管是多聪明的人，它都能远超其智力活动的总和。
In 1965, an imaginative mathematician called Irving Good predicted the eventual creation of an "ultra-intelligent machine…that can far surpass all the intellectual (智力的) activities of any man, however clever".
由于外尔是一个数学家，他完全不是一个物理学家。
Now Weyl was a mathematician. He was not a physicist at all.
他也是一位杰出的数学家，微积分的发明者之一。
He was a brilliant mathematician; he was one of the inventers of Calculus.
有一次，他告诉我，如果自己成长方式有所区别，可能会成为数学家。
Once, he told me if he'd grown up differently, he might have become a mathematician.
数学家就说啦：“不对。”
现在的用户似乎以数学家为主。
花几分钟思考专业人士、科学家、教授或数学家提高解决问题能力的典型特征。
Spend a moment thinking about the typical traits of a professor, scientists, or mathematicians to increase problem solving ability.
本质上，我们是工程师而不是数学家。
虽然父子俩都既是数学家又是艺术家，但他们各有特长。
While both men are mathematicians and artists, they have clear specialties.
尽管如此，直到1963年，数学家罗伊·科尔才发现了旋转的球形体的相应方案。
However, it wasn't until 1963 that mathematician Roy Kerr found the solution for a rotating spherical mass.
也就是，物理学家的势能和,数学家势能相差一个负号。
So, that means that physicists' potentials are the opposite of a mathematician's potential.
谈起新加坡非凡的教育时，浮现在人们脑海里的是成堆聪明年轻的数学家。
WHEN people talk about Singapore's education miracle, they normally think of rows of clever young mathematicians.
没人知道第一个女数学家是谁，但是海巴夏绝对是最早之一。
No one can know who was the first female mathematician, but Hypatia was certainly one of the earliest.
没人知道第一个女数学家是谁，但是海巴夏绝对是最早之一。
No one can know who was the first female mathematician, but Hypatia was certainly one of the earliest.
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