PS: I'm sorry, I made a mistake yesterday when I made a mistake! Chebyshev's translation name in that world is actually "Chechev"!

On the evening of the day they received the periodical, Wang Qi and Chen Youjia both received a summons, the sender, Wanfamen Northern Kingdom, Che Xue Buddha. The content of the letter was simple: the monk and legend wanted to meet these two young geniuses who proposed the new law of large numbers, and exchange ideas.

Not to mention what Chen Youjia thinks, Wang Qi is very excited.

The northern lineage corresponds to the Petersburg School in the history of the earth, and the representative figures are Chebyshev, Markov, Lyapunov, etc. Although it is inferior to the European mathematical schools such as the Paris School, the Göttingen School, and the Polish School in terms of its name and presence in the history of mathematics, it is not inferior to any university school in its influence on later generations.

Che Xue Buddha is the founder of the Northern School of Ten Thousand Methods, and the overhaul of Ten Thousand Methods Gate is a rare strong person in the fields of number theory, functions, and integrals.

After the two of them replied, it took about a day to prepare. On the morning of the third day, they entered the Ten Thousand Immortals Fantasy Land together, and followed the sign sent along with the letter to a place in the Illusion Realm.

The scenery of the northern country, thousands of miles of ice, thousands of miles of snow drifting. In this silvery illusion, a semi-open hut is steaming. Two old men were sitting in front of a table, talking about something. Rich people always like to set the illusion of the chat room as they are most familiar with, and this king of the north is no exception.

The old man sitting on the main seat had white hair, but he did not see his old age, and he was full of energy. The flesh is strong. A crane's hair and a three-foot long beard are meticulously arranged.

Well. It was in stark contrast to the other old man next to him.

Wang Qi couldn't help but be surprised: "Teacher Feng, why are you here?"

Feng Luoyi's image is not so unbearable, but it is a little worse than Che Che Fu's meticulous appearance. I don't know who is a monk from the northern kingdom of Shangwu.

Feng Luoyi said with a smile: "Everything in the Ten Thousand Immortals Fantasy Realm is handled by me, and I am normal here. Besides, you've got something new that you've come up with that interesting, and I'd like to be a part of it—aren't you welcome?"

Chen Youjia pulled Wang Qi for a moment, bowed his head and said, "How come?"

For Chen Youjia, who is interested in applied arithmetic, Feng Luoyi, the strongest applied arithmetic, is simply an idol-like figure.

Cheche is much kinder than expected. After he heard Wang Qi blurt out "Teacher Feng" once, he glanced at Feng Luoyi slightly. Then he smiled at the two juniors: "You don't have to pay attention to this guy." Nor is he more suspicious of me. I just wanted to talk to you two young people about your thoughts on probability theory. ”

Probability theory......

Wang Qi looked at the old man with a complicated look in his eyes. The mathematical law he and Chen Youjia developed together is called "Chen Wang's Law of Large Numbers", which is called Chebyshev's Law of Large Numbers on Earth. In the face of this cotope, he always had a strange feeling.

What surprised him even more was Che Che Fo's latest paper, "A Popularization of Chen Wang's Law of Large Numbers".

That's clearly Markov's law of large numbers.

According to the mathematical history of the earth, this is the representative result of Markov, a disciple of Chebyshev, and is the cornerstone of modern probability theory.

Although they have known for a long time, the research ability and actual level of Shenzhou Xiaoyao are higher than their isotopes on Earth. But it was the first time that Wang Qi had been attacked in such a direct way.

- Well, I thought I could quietly brush up on the law of large numbers by myself. It's so naïve......

Shenzhou underestimated the role of probability, thinking that it was just some approximation of "absolute cause and effect". As long as we know all the conditions, we will be able to eliminate all uncertainties and arrive at the inevitable result -- this is the creed of Shenzhou. Because the calculation power of the Yuan Shen is too rebellious compared to the human brain, many monks simply use primitive statistical tools, and there are not many famous calculators who go back to the field of probability. Che Chev didn't have the idea of probability.

As for Markov...... He is also the "missing" person. There is no him in the history of Shenzhou, and most of his achievements in the history of mathematics have also been developed by the monks of the northern kingdom represented by Cheche Buddha.

Except for Markov's law of large numbers, which is an extension of Chebyshev's law of large numbers.

However, Wang Qi underestimated the world's freedom after all. Because the accumulation is deep enough, just a little bit of it can inspire them.

This is not necessarily good news for Wang Qi. In the future, he will not want to think about the idea of monopolizing the entire research chain. He did not memorize many papers before the crossing, and what he can remember now must be the achievements that he knew in his previous life and have an important place in the history of academia. I don't know how many great powers are staring at such achievements, as long as they break through, they will rush up.

However, it now seems that this is also an opportunity......

Chechev smiled: "I have seen your results, it is a great research. How did you two come up with this idea in the first place?"

Chen Youjia opened his mouth to say: "This is an idea I have had for a long time......

Wang Qi's voice was simply inserted neatly, cutting off Chen Youjia's words like a sharp blade: "Because this is the necessity of chance, the law of large numbers is the skeleton of the field of probability, and it is also the most practical problem in this field. ”

Che Che Fu's eyebrows curled: "Oh? 'most'?

Wang Qi was at ease and talked eloquently: "First of all, we need to think about a question, what is the significance of our arithmetic?"

What is the significance of mathematics?

Mathematics is a highly abstract, highly idealized fragile being, not the same thing as the material world. There are no perfectly probabilistic events, no truly uniform texture, not even standard straight lines, standard circles.

The only thing we can draw in the material world is "approximation". Approximate straight lines, approximate circles.

Strictly speaking, the preconditions of all mathematical theorems cannot be perfectly satisfied in the real world, and therefore the conclusions asserted by mathematical theorems cannot be perfectly established in the real world.

This conclusion can also be generalized to all theories. The laws that humans have in their possession are only statistical averages of random events, nothing more.

So, what is the meaning of science, the meaning of mathematics?

Feng Luoyi nodded affirmatively: "I understand what you mean." The law of large numbers is all the same, and the approximation makes sense. My Tao is not a Tao but close to a Tao, and this is probably the relationship between the theory of the Immortal Alliance and today's Dao, right?"

Necessity is included in chance.

Chen Youjia looked at Wang Qi stunned. Since she had never been expressionless, no one could see what was going on in his mind.

"This bastard...... I was the first to do it! You only got a kick in later! Why are you talking more beautiful than me?"

Chechev was full of affection for the young man: "You really have a lot of ideas. It seems that we need to communicate more. (To be continued......)