我认为数学爱好者(数学家和真正的数学迷)也是这样阅读数学论文的。
I think that's how mathematically-inclined people (mathematicians and hobbyists) read math papers, or any old papers containing a lot of math.
在做了几年的业余数学爱好者之后，你打算做更多的数学，甚至你从没碰过铅笔和纸。
After a year of doing part-time hobbyist catch-up math, you're going to be able to do a lot more math in your head, even if you never touch a pencil to a paper.
在做了几年的业余数学爱好者之后，你可以在脑海里做很多数学题，即使你从没碰过笔和纸。
After a year of doing part-time hobbyist catch-up math, you're going to be able to do a lot more math in your head, even if you never touch a pencil to a paper.
我认为那就是数学爱好者(数学家和真正的数学迷)怎样读数学论文的，或任何包含了许多数学的论文。
I think that's how mathematically-inclined people (mathematicians and hobbyists) read math papers, or any old papers containing a lot of math.
孩子在他的早期以感性认识为主的阶段可以接触到真实的数学物体，能够使他有更大的机会成为一个真正的数学爱好者。
A child who is allowed to explore with real mathematical objects at an early, motor-sensorial age stands a good chance of becoming a real math lover later in life.
世界上有许多伟大的数学家和科学家都是益智游戏的爱好者。
Many of the world's greatest mathematicians and scientists are puzzle enthusiasts.
数学的爱好者可以通过对精算学的学习将他们的对数学的热情施展到解决金融危机的方案规划中。
Math lovers can apply that passion to problems of financial risk by entering the field of actuarial science.
数学的爱好者可以通过对精算学的学习将他们的对数学的热情施展到解决金融危机的方案规划中。
Math lovers can apply that passion to problems of financial risk by entering the field of actuarial science.
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