这一结果唯一合理的数学解释就是哈代悖论。
The only mathematically consistent explanation known for this result is therefore Hardy's.
阐述了数学解释的定义，分类及其功能。
The definition, the classification and the function of mathematical explanation are expounded.
我们想让数学老师再解释一遍这个难题，但他拒绝了。
We requested that the math teacher explain the puzzle again, but he refused.
Nowak 解释说，“数学帮助我们看到了什么才是最重要而最有趣的实验。
Math helps us to see what the most crucial and interesting experiment is.
“我在那教数学”，我解释说。
这篇文章就从简单的数学原理出发，来解释运气，努力工作和成功的联系。
This article explains how luck, hard work and success are related in mathematically simple way.
门齐奥解释说， “另一种语言”其实是他准备到锡拉丘兹演讲的数学方程式。
Menzio explained that "other language" was a math equation for his speech in Syracuse.
坐下来，我会给你解释这道数学题的。
坐下来，我会给你解释这道数学题的。
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