迈克尔在数学方面可能是个笨学生，但他在语言方面是有天赋的。
Michael may have been a dunce at mathematics, but he was gifted at languages.
当我告诉一群表现出无助行为的学生说，是缺乏努力导致了他们数学上的错误，他们就学会了在问题变得棘手时继续尝试。
When I told a group of school children who displayed helpless behavior that a lack of effort led to their mistakes in math, they learned to keep trying when the problems got tough.
值得一提的是，在6岁到15岁的整个义务教育阶段，庞大的能力不同的班级都可以一起学习数学。
It is remarkable that large, mixed-ability classes could be kept together for maths throughout all their compulsory schooling from 6 to 15.
即使是在初高中，数学书也厚达300页。
Even in middle and high schools, the math book can be 300 pages.
在（纪录片）开头，袁的三个孙女回忆了她们祖父的故事，并提到祖父最关心的是她们的英语和数学学习。
In the opening parts, Yuan's three granddaughters recalled stories about their grandfather and said that he mostly cared about their English and math studies.
在高等数学界，多样性是个问题，这已经不是什么秘密了。
It's no secret in the advanced-math community that diversity is a problem.
心理学家苏珊·莱文是芝加哥大学研究幼儿数学发展的专家。她发现，在2岁至4岁之间玩拼图的孩子在后来会发展出更好的空间能力。
Psychologist Susan Levine, an expert on mathematics development in young children the University of Chicago, found children who play with puzzles between the age of 2 and 4 later develop better spatial skills.
在高中时他最好的科目是科学和数学，所以很多人都建议他学工程，他也的确进了工程系。
In high school his best subjects were science and mathematics so many people advised him to study engineering. And he did.
另外一些人认为程序员是天才，他们在电脑前能不断地解决复杂的数学难题。
Other people think that programmers are geniuses who constantly solve sophisticated math puzzles in front of their monitors.
格雷厄姆系数是一个在严谨的数学证明中被用到的最大的数值。
Graham's number is the largest number that has been used in a serious mathematical proof.
B我在大学里学的是数学。
第二个因素是“范围缩小“：用数学术语讲，正确的答案集中在群的边缘。
The second effect was “range reduction”: In mathematical terms, correct answers became clustered at the group's edges.
制造是如此容易，这就解释了为什么在软件开发中没有那么高的数学严密性。
Ease of manufacturing explains why we don't have much mathematical rigor in software development.
数学知识是确定无疑的，它给人们在沼泽地上提供了一个稳妥的立足点。
Mathematical knowledge was certain and offered a secure foothold in a morass.
我的外祖父是数学物理博士，在一所高级中学任校长，所以，也许还有些遗传的因素吧。
My maternal5 grandfather was a high school principal with a Ph.D. in mathematical physics. So there may be some hereditary6 factor as well.
我在一所大学教数学。你是做什么的？
W：我在一年大学教数学，你是做什么工作的？
事实上，他在学校表现很优秀，尤其是在科学和数学方面。
In fact, he did very well at school, especially in science and maths.
在我们社团工作要保证，我们当地的学校不忘记教授数学和科学，尤其是在工作需要他们，大量去海外的这段时间里。
Working within our communities to ensure our local schools do not forget about math and science during the period when jobs requiring them may increasingly be moving overseas.
数学分析的结果表明，如果婚姻双方在情感上是相似的，则他们有一个‘最优努力策略’，其结果是幸福、长久的婚姻关系。
The results of the mathematical analysis showed when both members of union are similar emotionally they have an "optimal effort policy," which results in a happy, long-lasting relationship.
她是一个聪明的女孩，在达吉斯坦的教育大学学习数学，是这个地区里第一个攻读硕士学位的人，而且还选修了第二学位心理学。
A bright girl, she studied mathematics at Dagestan's State Pedagogical University. She became the first person from her district to do a master's, and took a second degree in psychology.
我在本科学习的是数学专业，因而在我的脑子里有一个特殊的地方存放着几何学。
My undergraduate degree is in mathematics and I have a special place in my heard for geometry.
还是那个问题，到底多大程度上女性在科学、数学领域的缺位是由先天的，不可改变的能力决定的？
The question remains, to what degree is the absence of women in science, mathematics and engineering caused by innate, immutable ability?
这也就意味着我对他们作业的长篇大论更多的可能是满足我自己的意愿，想让他们在功课上像我一样成功，而不是对他们学习数学或者是化学的关心。
Which means that my homework haranguing may be more about my own need to make them as successful in school as I was than it is about their knowledge of math or chemistry.
这些技术的基础是阅读和数学，这是我们在小学低年级的时候都学过的，但是很久以来，对于很多孩子来说，他们从未完全掌握这些技能。
All skills begin with the basics of reading and math, which are supposed to be learned in the early grades of our schools.Yet for too long, for too many children, those skills were never mastered.
即使是在GSIA，重点学科领域也只有数学、经济学和行为心理学。
Even at GSIA, the important subject areas were mathematics, economics and behavioural psychology.
它由数学函数组成，这些数学函数是为在各种IBM计算平台上优化性能所设定的。
It consists of libraries of mathematical functions specifically tuned for optimum performance on various IBM computing platforms.
与动态分析方法相比，在静态分析中实际并没有任何执行行为：整个分析是建立在纯粹的数学模型基础上的。
In contrast to the dynamic analysis approach, in static analysis nothing actually gets executed: the whole analysis is based purely on mathematical models.
与动态分析方法相比，在静态分析中实际并没有任何执行行为：整个分析是建立在纯粹的数学模型基础上的。
In contrast to the dynamic analysis approach, in static analysis nothing actually gets executed: the whole analysis is based purely on mathematical models.
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