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0当时追重启人生这个剧的时候就好奇过为什么女主是重生五次，还有我们为什么总说三岁看大或者三十而立。以及为什么我们都在说人越大是约不容易被改变的。
其实调和级数可能已经悄悄给了我们答案！
1岁出生的时候遇到的每个人每件事对你的影响都是1/1
1岁的时候重生一次
n= 4的时候(1+1/2+1/3+1/4) = 2.08333；4岁重生一次
n=10的时候 (1+1+1/2+1/3+....1/10) =2.92897；10岁重生一次
n=30的时候等于3.99499； 30岁重生一次
n=82的时候等于4.99002；82岁重生一次
这个道理我觉得也可以放在研究上面；我们的投入产出比也是需要找到这么一个平衡！
这次在南大听到很多朋友们做的很有意思的研究，在我听来真的都是很值得尊敬很令人倾佩的探索。我觉得更好的方向不是放弃本来自己选好的，不是重开这把你玩的很顺手游戏（不论当初是被迫选择还是主动选择），而是尝试去加一丢丢新的想法，去买个新的装备！找找新的交叉方向！这样你又可以很轻松的把本来就很棒的作品重生啦！
因为你相信我，你讲你感兴趣的东西时，你的眼睛真的在发光！而且你现在对自己的本体研究的一种抽象和虚无的感觉也都是完全合理的。
但是，我需要在这里重申，这里绝对不是鼓励投机取巧的研究，只有当你想这样做的时候一切才真的是有意义。如果你真的喜欢一头扎进古籍分析文献，我是发自内心的佩服，而你内心获得的满足早就够你重生多次啦～只是希望更多人可以看到你的成果！祝一切都好！
When I was watching "Rebooting" I wondered why the heroine experiences five rebirths. It also made me think about why we say "three years old sees the adult" or "standing firm at thirty," and why people are said to be harder to change as they grow older.
Maybe a mathematical formula (Harmonic Series) has quietly given us the answer!
- At 1 year old, every person and event you encounter has a 1/1 impact on you.
- Rebirth at 1 year old.
- When n=4: (1+1/2+1/3+1/4) = 2.08333; rebirth at 4 years old.
- When n=10: (1+1+1/2+1/3+....1/10) =2.92897; rebirth at 10 years old.
- When n=30: equals 3.99499; rebirth at 30 years old.
- When n=82: equals 4.99002; rebirth at 82 years old.
I believe this principle can also be applied to research; we need to find a balance in our input-output ratio! Recently at Nanjing University, I heard many friends share fascinating research that I find truly respectable and admirable. I believe a better direction is not to abandon what you originally chose, not to start a new game that you're already good at (whether it was a forced choice or a voluntary one), but to try adding a bit of new ideas, buying new gear in the language game! Explore new interdisciplinary directions! That way, you can easily rejuvenate your already excellent work!
Believe me, when you talk about what interests you, your eyes really shine! The abstract and nihilistic feelings you have about your ontological research now are entirely reasonable.
However, I must reiterate that this is not about encouraging opportunistic research. Everything is meaningful only when you genuinely want to do it. If you truly enjoy delving into ancient texts and analyzing literature, I deeply admire you, and the satisfaction you gain from within is enough for multiple rebirths! I just hope more people can see your results. Best wishes!
Remember!! Despite the terms getting smaller and smaller, the series does not converge to a finite limit. Instead, the sum of the terms grows without bound as more terms are added :)
