For instance in the past, we had that silly little program for computing the average of some quizzes and it was actually a pretty bad implementation because I had essentially hard coded in the number of quizzes.
比如在以前,我们做了一个,计算平均数的程序,这是一个相当挫的实现,因为我硬编码了测试的数字。
Numbers are hard. That's why we teach whole semesters worth of courses in number theory.
因此我们整个学期关于数学理论,的学习也是物有所值。
It's actually not impossible, but hard, and there are a number of challenges.
事实上,它并非不可能,只是很艰难,要面对很多挑战。
It's a secret number so that if Julius Caesar scrambled his message with the key 13, well, then the recipient had better know what that number is or realistically, -- and this is why it's kind of hard to buy -- into some of these age old algorithms, -- what would an alternative approach be to figuring out Julius Caesar's messages to his generals if he didn't know that secret number was 13?
它是一个机密的数字,以至于,如果凯撒大帝使用密钥13加密了它的消息,然后接收者最好知道那个数字是什么,实际上--这就是为什么很难,破解这些古老的算法-,有什么变换方法使凯撒大帝的将军,可以解密凯撒大帝的消息,如果他不知道,那个机密数字是13呢?
Problem is here, that Player II has a continuum of strategies and trying to draw all possible probabilities over an infinite number of objects on the board is more than my drawing can do. Too hard.
现在问题是,参与人II的策略是连续的,想要把无限可能性的概率,做成图都画在黑板上,是不可能的了
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