As soon as the contestants entered the arena, they were divided into several teams, and each group discussed and completed the task together.

The group members discuss and solve the problems within the allotted time.

This is usually a tight time that requires players to quickly brainstorm and use their mathematical talents.

and complete the answer within the stipulated time.

In the math competition, the third group is the lucky winner of Fermat's law, and they gather to devote themselves to research.

Wang Jun began to say: "Fermat's law is a very challenging mathematical problem, although it is an unsolved mystery in the world, but we still have to do a good job in the basic part of the early stage of the debate, it is related to the existence of integer solutions. Let's start with Fermat's final theorem, which is that a^n + b^n = c^n, when n is greater than 2, there is no integer solution. ”

Li Ming added: "Yes, Fermat's final theorem is our core problem. We need to explore the mathematical implications of Fermat's law. Before that, let's start by familiarizing ourselves with relevant mathematical knowledge, such as modular operations, number theory, etc. ”

Zhang Yue began to explain: "Modular operation is a mathematical operation that we can use to deal with the cyclic nature of integers. For Fermat's theorem, modulo operations can be a powerful tool for us. ”

Li Tao continued: "We also need to have an in-depth understanding of algebraic geometry. The proof of Fermat's law may involve the properties of triangles and polygons, which we need to deduce using algebraic geometry. ”

Liu Ting looked at the whiteboard and began to illustrate with geometric figures: "We can assume that there are integer solutions a, b, and c, and then try to deduce them with counterproofs through the knowledge of number theory and algebraic geometry." If the assumptions are wrong, then it will lead to contradictions. ”

In the ensuing discussion, the group members continued to study mathematical formulas and reasoning methods, exploring various possible avenues. They exchange ideas with each other, constantly revise their proof schemes, and try to find the most effective solution.

The discussion went on for several hours, and the minds of the group members were already a little tired, and they knew that it was the big problem of the century, but they still persevered and did not give up.

Eventually, the panelists found a way to prove Fermat's law.

Although they have not yet come to a final conclusion, the process has already provided them with many valuable clues and ideas.

This is also the original intention of the professor who came up with this question, that is, if you can solve this kind of problem, you must solve the problem first, and you need this kind of strength not to admit defeat.

meanwhile

On the other side, Zhang Tao's team also entered the white-hot discussion stage.

Their group should be regarded as the luckiest group in the audience, at least they didn't draw the world's unsolved mysteries, and several of them were from the same school before, so they had a sense of intimacy with each other.

Jin Kaiyue was a little deflated: "The function is too complicated, it is estimated that the graduate students in Qingbei may not be necessarily." ”

Zhang Qiang, who was next to him, sighed when he heard this: "It's all here, let's do our best." ”

Although he said positively, it was impossible to write all over his face.

Zhang Tao immediately realized the danger of this matter.

Give everyone this negative energy at the beginning. How to actively solve the problem together in the future.

If you take the other members away, you'll be in trouble.

"We are all selected scholars, and if we do too simple questions, we will be looked down on too much."

Jin Kaiyue immediately retorted: "If we don't do it, then I really look down on myself." ”

Zhang Tao felt that he should not continue to refute him at this juncture, otherwise the two sides would fall into a constant cycle of rebuttal, and he still had to be encouraged.

"I haven't started to do it yet, I don't believe in myself, you see we have a teacher, and the problem he studied is unprecedented, isn't it still studied by him, this question is much simpler than his question."

"It's just that many things go from impossible to possible, and the kind of topic that tickles is not in line with our temperament."

Xueba is somewhat superior, and this sentence immediately came to the spirit.

I didn't continue to greet each other later, after all, there is a countdown to the exam. The few words just now really made them quickly get into the groove.

The questions on the test paper are filled with various mathematical symbols and terms, such as group theory, ring theory, homomorphic mapping, generative elements, etc., which can be daunting.

Zhang Tao took a deep breath, and then said: "This problem involves the isomorphism and homomorphism mapping of groups, we first need to prove that one companion set of a group is the equipotential of another companion set, and then deduce the relationship between isomorphism groups and homomorphic groups. ”

Not to be outdone, Zhang Qiang added: "Yes, we also need to use the generators of the group to construct a homomorphic map to ensure that the mapping maintains the computational characteristics of the group structure. ”

"At the same time, we also need to discuss the nature of the union and intersection of the coset of the group to derive the relationship between the kernel and the coset of the homomorphic map." Jin Kaiyue said.

"We also need to prove the relationship between the image and the kernel of the homomorphic map, making sure that the image is a subgroup." Li Ming, a member of the group, said.

"That's right, and we also need to analyze the role of the nucleus and image of the homomorphic mapping to make sure that the homomorphic mapping of the group is full." Liu Li, a member of the panel, added.

The whole process of discussion is getting smoother and smoother, and although the problems are difficult, they have found some new ideas in the maze of mathematics.

Eventually, the team worked together to solve the math puzzle.

They wrote the answers on the test papers, looked at the strings of precise and complex mathematical symbols, and finally breathed a sigh of relief.

The on-site competition is in full swing, and netizens are very lively in the comment area at this moment.

From the moment the contest started, the live broadcast was on.

"It's really the first time I've seen a top student compete in a live competition, it's so exciting!"

"It's all about reading, right? At this age, I'm still looking at the Armored Warriors, and they've all been guessed by Fermat."

"Are you sure we're all the same species? How do you feel like you're making up the numbers? ”

"Is this the unevenness of human beings? When Nuwa was pinching me, she probably forgot to put her brain in. ”

"Write a few words about netizens praising other people's children in the comment area of the live broadcast room."

"Watching the top students show off their operations here, I feel like a weak chicken, it's really admirable to the point of explosion!"

“.”

Netizens never skimp on their praise.

(End of chapter)