研究表明，男孩通常比女孩在科学上表现更好，但他们在数学上几乎没有差别。
The study shows that boys generally did better than girls in science, but there was little difference between them in maths.
他断言，在理解冗长且完全抽象的一系列观点方面，他的能力非常有限，因此他深信自己在数学上永远不会成功。
He asserted that his power to follow a long and purely abstract train of thought was very limited, for which reason he felt certain that he never could have succeeded with mathematics.
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.
由于他的粗心大意，他在数学上丢了3分。
祖不仅在数学上很成功，而且在天文学上也很成功。
多亏了你的鼓励，我在数学上不断地取得进步，最终决定在大学里学习数学。
Thanks to your encouragement, I made continuous progress in math, and finally made up my mind to study it in the university.
心理异的数学上是等价的信息
Psychological nonequivalence of mathematically equivalent information
任何给定用户的公钥和私钥在数学上是不能相关的。
The public key and private key for any given user aren't mathematically related.
您需要寻找强mdd相关的文件组(考虑数学上的闭包)。
You want to look for groups of strongly MDD-related files (think mathematical closure).
然后我们会说明为什么会这样，逻辑上的说明，而不是数学上。
And then we can reason why it came out the way it came out. Logically, without actually doing math.
在PISA评分系统中，上海在数学上得到了600分。
In the PISA scoring system, Shanghai scored six hundred in math.
在数学上，它是一个参数，用于确定一个算法的函数输出。
Mathematically, it is a parameter which determines the functional output of an algorithm.
他在数学上创立的“二进位制”奠定了现代控制论和计算机原理的基础。
His binary notation in mathematics laid the foundation for modern cybernetics and computer theory.
但仍有一个很重要的例外：在曲线顶端，男生仍然比女生强，尤其在数学上。
There is one important exception: Boys still beat out girls at the very top of the curve, especially in math.
根据一个数学上设计更为客观的新生活质量指数，美国的生活质量位列全球第二。
The US comes second in a new quality of life index designed to be mathematically objective.
这是因为散列可以将输入值转化为新的值，而这些新值不能从数学上逆向生成原始值。
This is because hashing an input value converts it into a new value that is mathematically impossible to undo to produce the original value.
李群有多个族组成，四族“简单”的和其他五族在数学上而言不那么简单的。
There are four “simple” families of Lie groups and five others—this beingmathematics—that are notquite so simple.
Bonnet认识到树枝和树叶具有一种螺旋布局模式，在数学上可以用分数来表达。
Bonnet saw that tree branches and leaves had a mathematical spiral pattern that could be shown as a fraction.
想象一下你们必须，从数学上来考虑，这样你们不得不，从这点开始将所有mi求和。
Imagine that you had to do this mathematically, that you actually had to do an integration of all these elements mi from this point on.
即使在美国，很多人仍然把教育的“性别差异”与女孩儿在数学上的落后表现联系起来。
Even in the United States, many people still associate the educational "gender gap" with girls left behind in math.
随着能力的提高，研究显示已经十分清楚，即平均起来，女性和男性在数学上有相同的能力。
As far as ability goes, studies are pretty clear that on average women and men are about the same at math.
然而，威斯康星医学院的著名色视觉专家杰·奈茨说，单从数学上解释，其差别会令人震惊。
But mathematics alone suggests the difference would be astounding, said Jay Neitz, a renowned color vision researcher at the Medical College of Wisconsin.
这是一个数学上的复杂的比照，它把动物实际的脑重量与按照动物身体尺寸所预期的脑重量比较。
It is a mathematically sophisticated comparison of the actual brain weight of an animal compared to the expected brain mass for that animal's body size.
如果你不管实在教室外还是在教室内都不愿意融入数学学习的进程，你将会在数学上有大麻烦咯。
If you aren't willing to be actively involved in the process of learning mathematics, both inside and outside of the class room, then you will have trouble passing any math class.
你或许有机械方面的、数学上、音乐上，或上千种其他不同的恩赐，这一切的才干能力都能令神欢喜。
You may be gifted at mechanics or mathematics or music or a thousand other skills. All these abilities can bring a smile to God's face.
我知道复杂性有三到四种数学上的定义，但没有哪种可以大体上解答我刚刚提出的这类问题。
I am aware of three or four mathematical definitions for complexity, none of them broadly useful in answering the type of questions I just asked.
这种对人的动机和行为的假设的做出通常都是以内省、考虑特殊情况、以及在数学上易于处理为基础的。
The assumptions about human motivations and behaviors have usually been made on the basis of introspection, inspection of special cases, and mathematical tractability.
如果经验观测与模型不符，无论这个模型概念上多么精致或者数学上多么简洁，它必然被抛弃或被修正。
If empirical observation is incompatible with a model, the model must be trashed or amended, even if it is conceptually beautiful or mathematically convenient.
如果经验观测与模型不符，无论这个模型概念上多么精致或者数学上多么简洁，它必然被抛弃或被修正。
If empirical observation is incompatible with a model, the model must be trashed or amended, even if it is conceptually beautiful or mathematically convenient.
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