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Chapter 172 Math Games

Although Chen Zhou has decided to develop a difficult topic, such as the Goldbach conjecture, the twin prime number conjecture, the Riemann conjecture, the Hodge conjecture, the abc conjecture, etc.

He even thinks it is not suitable, firstly, it is a matter of time.

I'm afraid that the system tasks have expired for many years, and he may not be able to solve these problems.

First, these conjectures require a gradual progress in a certain sense.

Especially the conjectures of prime numbers.

When the screening method and the round method have approached the limit, it is difficult for Chen Zhou to break through for a while.

What this requires is accumulation.

Also, Chen Zhou felt that the solution to these conjectures might have to wait a moment.

Just when Chen Zhou was worried, the small class of the algebra discussion class began.

Chen Zhou thought that Professor Wu Xiping would be the first to hold a small class discussion class, but he didn't expect that he would be snatched from Zhang Zhongyuan's classroom.

However, the first class of the algebra discussion class did not discuss a certain issue as Chen Zhou expected.

Zhang Zhongyuan just asked some math questions casually and asked the students to answer them themselves. If they couldn't answer, he would answer them by the way.

Of course, it is impossible for all the students to collide with their thinking.

"Today is your first small class since you entered the Department of Mathematics of Yan University. I don't want to talk about something too profound. Let's just talk about mathematics and algebra."

Zhang Zhongyuan's opening remarks set the tone for this small class.

After saying that, Zhang Zhongyuan glanced at the students in the podium. When he saw Chen Zhou, he was a little surprised, but he roughly guessed Chen Zhou's thoughts.

Chen Zhou noticed Zhang Zhongyuan's gaze and smiled slightly at him.

Zhang Zhongyuan was stunned and immediately thought that it seemed that he had to do something difficult today...

Zhang Zhongyuan coughed lightly and continued: "Algebra is actually a more advanced evolution of arithmetic. When a large number of solutions to their respective quantitative problems are accumulated in arithmetic, in order to find more systematic and universal methods to solve various quantitative relationship problems, elementary algebras with the principle of solving algebraic equations as the center."

After pausing, Zhang Zhongyuan asked, "Do you know who is the one who really founded algebra?"

Someone replied: "The ancient Greek mathematician Diophantu."

Chen Zhou said in his heart: "No."

Sure enough, Zhang Zhongyuan shook his head slightly.

At this time, Chen Zhou heard Zhao Qiqi's voice, and he said: "It was Zhang Cang and Geng Shouchang, an ancient Chinese mathematician, who wrote "Nine Chapters of Arithmetic" and there was an equation problem."

Chen Zhou was slightly stunned. Unexpectedly, this kid knew a lot, but it was a pity...

Zhang Zhongyuan smiled and said, "Zhao Qiqi's idea is good, but unfortunately this is not a trace of the origin, but a question to whom it was founded."

Zhao Qiqi smiled foolishly and then there was no sound.

Zhang Zhongyuan waited for a while, but saw that no one answered, and was about to give the correct answer, but someone took the lead.

"It was the ancient Arab mathematician Mousa."

Upon hearing this, Zhang Zhongyuan looked at Chen Zhou who said this unexpectedly.

He didn't expect such a cold mathematical history, and Chen Zhou also knew it.

In fact, Chen Zhou just saw it by chance.

In the past two days, in order to systematically establish the idea of ​​choosing topics, he traced many branches of mathematics.

Moreover, he didn't plan to answer, but these small classmates were not good enough and none of them said it. Wouldn't it be that Professor Zhang would pretend to behave?

Chen Zhou naturally felt that it was inappropriate and still had to fight for their mathematics department.

That's why he answered out loud.

Seeing Chen Zhou looking at him, Zhang Zhongyuan nodded slightly: "That's right, it was indeed the ancient Arab mathematician Mousa who founded algebra."

Hearing Zhang Zhongyuan's words, these students from the mathematics department looked at Chen Zhou again with inexplicable eyes. Should we learn mathematics first and learn the history of mathematics well?

Zhang Zhongyuan didn't care about the students' thoughts. He coughed lightly, focused his classmates' eyes on himself again, and said again: "In fact, the research object of algebra is not only numbers, but more and more difficult, but also their abstract structures. We don't know what the relationship itself is, we only care about various relationships and their properties."

Speaking of this, Zhang Zhongyuan changed his tone: "Well, let me leave you a task. The next small class, what we want to discuss. Go back and carefully interpret the Galois theory."

Damn! Professor Zhang, what does it mean to interpret the Galois theory?

You should know that this thing is not that easy to interpret. The timeline here spans two or three centuries.

The establishment of the Galois theory not only completed the research started by Lagranges, Rufini, Abel and others, but also played a crucial role in opening up the path of abstract algebra.

Thinking of this, Chen Zhou looked at Zhang Zhongyuan with a strange look. He thought Zhang Zhongyuan was a little embarrassed by these people?

Zhang Zhongyuan also looked at Chen Zhou, smiled slightly, then stood up and wrote a line of words on the whiteboard.

The moment Chen Zhou saw this line of words, he was slightly stunned.

What is this routine? What does this lesson mean?

Although this question is considered the category of abstract algebra, what do you want to do?

Just when Chen Zhou was puzzled, Zhang Zhongyuan turned around, pointed to the content on the whiteboard, and slowly spoke: "Next, let's play a math game. You can bring you the number you like to your heart's content, calculate through the calculation rules I wrote, and see the final result."

Before Zhang Zhongyuan finished speaking, he heard someone ask, "Professor, is this a hail guess?"

Zhang Zhongyuan raised his eyebrows and replied: "That's right, this is indeed a hail conjecture. But we won't talk about the conjecture today, we only play games."

The man stopped talking, silently lowered his head, took a pen and randomly inserted the numbers to calculate.

Chen Zhou glanced at the whiteboard.

If he pushes this thing forward for a week, he is not very familiar with it.

But now, he is so familiar with it.

Life is inseparable from guesses.

Solving mathematical problems requires conjecture.

Scientific research is based on conjecture.

A guess is a corner that cannot be avoided.

Good conjectures are like guides, guiding the development of science.

From conjecture to discovery, there will be treasures in the process.

One day in 1976, the Washington Post reported a math news on its front page.

The article tells a mathematical story.

In the mid-1970s, people on campuses of famous universities in the United States wanted to go crazy, playing a number game day and night, day and night.

The game itself is very simple.

Write a positive integer n arbitrarily and transform it according to certain rules.

This rule is that if n is an odd number, the next step becomes 3n1.

If n is an even number, the next step becomes n/2.

Not only students, but even lecturers, researchers, professors and some old scholars who usually don’t show up have joined in.

They enjoyed playing this number game.

Why is this game so charming?

Because, after countless trials, they discovered.

No matter what kind of number n is, it will eventually be unable to escape back to the bottom and become the number 1.

To be precise, it is impossible to escape the magic of the number itself, and this number will eventually fall into the 4-2-1 cycle at the bottom.

Always like this.

This is the famous "hail conjecture".

Chen Zhou retracted his thoughts and substituted a special value of "27".
Chapter completed!
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