另一组无助的孩子仅仅因为解决了简单的问题就得到了奖励，这样并没有提高他们解决数学难题的能力。
Another group of helpless children who were simply rewarded for their success on easier problems did not improve their ability to solve hard math problems.
他把时间花在设计难以破解的数学难题上。
He spent his time devising incomprehensible mathematics puzzles.
杰克解出这道数学难题了吗？
真正的学习不只是记住历史事件或算出数学难题。
True learning isn't just about memorizing history facts and solving math problems.
我很乐意，但是我马上要帮约翰解决数学难题。
I'd love to but I have to help John with his math problems right now.
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.
我在做作业时中遇到一道数学难题，经过缜密的思考我解出来了。
I encountered a hard math problem when doing homework, but I successfully figured it out after careful thinking.
经证实这就是我那是一直着手处理的数学难题的一个实质上的突破。
It turned out to be a real breakthrough for solving the mathematical problem I was working on.
另一方面，很多人相信孩子们研究数学难题是没必要也是违反自然的。
On the other hand, many people believe that it is unnecessary and unnatural for children to study difficult math problems.
如果解一道数学难题算“思考”的话，电脑也会，而且比人脑快很多。
If solving a mathematical problem is "thinking", then computer can and does so much faster than a man.
在硅谷谷歌公司，厕所的门上都被贴上数学难题，以使大脑不空闲的。
At Google in Silicon Valley, maths problems are pinned to some toilet doors, so that brains need never be idle.
一天晚上，凯利把作业留在了桌上，竟然有人帮她解决了两道数学难题。
Someone even did two of Kelly's hard math problems one night when she left her homework out on the table.
如果用这种方法你解不出这道数学难题，为什么不试着换一种方式呢？
If you can't work out the math problem in this way, why not try doing it in another way.
她能够解答出许多复杂的数学难题，而我将会教她如何写出优美的文章。
She made some complex arithmetical problems clearer and I explained to her how to write an essay better.
举例来说，如果你想和我聊聊拳击比赛或是数学难题，那无异于对牛弹琴。
Give examples to say, if you want to have a chat boxing match or mathematics hard nut to crack with me, that just like in play piano the cow.
不过，我们当中有一些人，一遇到数学难题就轻易放弃，说：“这道题我做不出来。”
But there are some among us who are ready to give up when they come to a hard example in mathematics, and say, "I can't do this."
分别提出了基于一个数学难题和同时基于两个数学难题的多重数字签名方案。
The paper proposes a scheme which based on one mathematics problem and a scheme which based on two mathematics problem.
若川痛惜“我在计算方面出了很多错”已被他揭示解决数学难题关键点的能力所补偿。
"I make a lot of mistakes with computations" laments Ruochaun but this is more than compensated by his ability to uncover key ideas in math problem solving.
从长远的角度看，除非在医疗保健方面有所作为，几乎无法解决预算的这道数学难题。
And in the long run there's no way to make the budget math work unless something is done about health care costs.
作者就此诸多问题，基于离散对数这一数学难题，提出了一种安全的多级代理签名方案。
To solve all these problems, a more secure multiple grade proxy signature scheme is proposed in this paper based on the study of a difficult mathematical concept, the discrete logarithm.
巧用图表法，碰到有些数学难题，可将已知数和未知数之间的关系列成图表，找出解题的方法。
V. Using the chart method, some mathematical problems encountered can be given numbers and the unknown relationship between the lash chart, find the problem-solving approach.
马塞尔成功解决数学难题的主要因素是“激励”，尤其是“遇到难题执着前行”的那种“激励”。
" For Marcel a key ingredient for success in math problem solving is "motivation, " in particular a kind of "stubbornness to keep going even when things seem complicated.
解题当然是数学的一个重要方面，不管是课后习题还是未解决的数学难题，不过解题并不是数学的全部。
Problem solving, from homework problems to unsolved problems, is certainly an important aspect of mathematics, though definitely not the only one.
他们的成就包括人造血液，一种探测砷的生物传感器，以及能够在培养皿中像“有生命的计算机”那样解开数学难题的细菌。
Their accomplishments include artificial blood, a biological sensor to detect arsenic and bacteria that can act as "living computers" to solve mathematical problems in lab dishes.
旅行推销员问题是一个最受人喜爱的数学难题：如果一个推销员不得不访问几个城市，怎样走最短的路线使他一次到达这几个城市。
The traveling salesman problem is a favorite math conundrum: if a salesman has to visit a bunch of cities, how do you get him to all of them once via the shortest possible route.
Shaw公司。作为该公司严苛的遴选程序的一部分——在每500名求职者中，Shaw公司或许只会录用一位——萨默斯被要求解决数学难题。
As part of Shaw's rigorous screening process - the firm accepts perhaps one out of every 500 applicants - Mr. Summers was asked to solve math puzzles.
Shaw公司。作为该公司严苛的遴选程序的一部分——在每500名求职者中，Shaw公司或许只会录用一位——萨默斯被要求解决数学难题。
As part of Shaw's rigorous screening process - the firm accepts perhaps one out of every 500 applicants - Mr. Summers was asked to solve math puzzles.
应用推荐