Generally speaking, there are mathematical perspective, literary perspective, artistic perspective, philosophical perspective, economic perspective and historical perspective. ...

From a small point of view: some of us pay more attention to food, some pay more attention to sports, and some pay more attention to entertainment. ...

But no matter which aspect we pay attention to, in an era when this field is becoming more and more professional and sophisticated, suddenly looking at the same problem from one perspective to another will have a completely different feeling.

Like, the life meaning of those two mathematical formulas.

The teacher told us from an early age that we should persist in learning and doing things and have perseverance. Chinese teachers will use these idioms to describe the meaning of persistence.

However, we often regard doing something intermittently as persistence. After persisting for so long, it has no effect, and we forget to stick to the original appearance. We begin to doubt the significance of persistence.

I found the answer in two mathematical formulas.

One day I read the WeChat article and saw two formulas. They were there quietly, but they gave me a great shock.

These are two "trouble" formulas:

Basel problem:

Harmonic series:

I didn't pay attention to the first formula, the Basel problem. When I saw the second formula, I began to be shocked!

This shock comes from the comparison of the two formulas.

Basel problem: If you take all the complete square numbers and add their reciprocal, the result is π2/ 6, which is about 1.6.

Harmonic series is: if you add some decreasing numbers (which eventually tend to 0), you will eventually get infinity.

Infinite, infinite. Infinite! I meditated in a low voice, I meditated repeatedly in my mind, and I was completely shocked! That kind of shock is from the bottom of my heart to the brain, which is to blow a crack in the fuzzy and chaotic brain. I think I saw something.

Yes, this shows that although doing one thing intermittently will make progress, the result is only a little progress. And continuous efforts will achieve amazing results!

This effect may be endless wealth, endless knowledge and endless harvest!

Ah, I should have understood long ago. When I was preparing for the exam, someone told me: I want to learn English every day, even if it is only a little, and I can't stop.

Looking back now, I was confused at that time, just thinking of this, and now it is actually the starting point of my cognition. I am very grateful to my friends who said this to me. Otherwise, I may get lost for another few years, or I may stay where I am.

And this mathematical formula, that is, the hammer that makes people suddenly realize, suddenly knocked on the confusing door that blocked me. Simple and clear, intuitive and clear, which explains what I couldn't see clearly before. Explains my confusion clearly, and won't beat around the bush.

It seems that I understand the beauty of mathematics in the eyes of mathematicians.

Yes, it's beautiful and clearly tells us the power of persistence. But at the same time, it is cruel. It completely dispels a trace of luck left in our hearts, and makes us clearly see the great difference between long-term persistence and occasional efforts.

So, after talking for so long, what is the significance of persistence? I'm sure you have guessed.

The meaning of persistence is infinite, and persistence will have infinite power.

So, so many people will say: I have always believed in the meaning of persistence.