In 80 years of Beijing, although ten years of **** have passed, the topic of politics has always been the most popular chat topic among the elites. The difference is that compared with before, it is much more cautious in and out of words. For Junxin, political topics have never been his forte, so when the other three people in the dormitory exchanged politics according to the current elite communication method, Junxin took the initiative to find an excuse and avoided talking about it.

And just like that, soon the exchange of four people ended. And Junxin's bed was also made at this time, probably because of his long-term exposure to mathematics, so there is quite a kind of perfectionism of a mathematician. Therefore, the placement of objects unconsciously brings the characteristic pickiness of mathematicians.

In fact, in the eyes of Yang Wei, Dong Wei, and Wu Zhe, Junxin's mathematician's unique pickiness is completely a kind of nitpicking in the pursuit of perfection. However, the three of them did not judge this. At most, I just think that Junxin is a little difficult to get along with. However, those who can be admitted to Mizuki are all geniuses in this era, and it is understandable that geniuses have a bit of quirks.

Two days have passed, and even people like Junxin who are out of place with others are very familiar with the other three people in the dormitory. Also, there are very few people in Mizuki's mathematics department, and the 80 years are just the second class of students. In Junxin's view, only people with the same interests and hobbies can talk together, although the gap between the heart and these three people is too large, but the three people with the same research interests were quickly accepted by Junxin, and after two days, they are already friends who talk about everything.

Mizuki University, somewhere in office.

"Lao Liu, is the difficulty of the entrance exam a bit too difficult this time?" It was a middle-aged man who spoke, about thirty or forty years old, and a worry was showing on his face at the moment.

"Hehe, I'm measured!" The man named Lao Liu said with a smile, "How many students can be admitted to our Mizuki?" It can be said that there is not a single one! The requirements for these questions are just ordinary sophomore exercises or test questions, and they are not very difficult. ”

"But even so, high school mathematics is very different from college mathematics, and you are not afraid of overtaking the exam when you come to such a topic at first glance?"

"Lao Chen, don't worry about these, these problems are just some simple calculus equations, in fact, if you carefully study the university courses, you will not be unable to do them. The purpose of these questions is simply to tell them that college is about to start and that they should concentrate on preparing for the next course. The really hard part should be the last two additional questions! ”

"You don't know the intention of these two questions, Member Hu (a member of the Faculty in the 80s, equivalent to the current academician of the Chinese Academy of Sciences) asked to choose the best of the best, these two questions were proposed by his old man himself, even if we have to go through a long time of calculation to come to the answer, using this kind of question to test children who have just entered the university, this is really ......" Professor Chen shook his head, in fact, he did not agree with this suggestion, but out of respect for Member Hu, there was no objection at the final meeting.

"Lao Chen, don't think about it so much, think about how brilliant our Shuimu Mathematics Department was back then, although it has just been rebuilt, but the heritage still exists, who dares to apply for the mathematics department of our school, which one does not have extraordinary talent and superhuman mathematical skills? It is better to choose the best of these people, and it is naturally more difficult! ”

"Okay, I got it. I understand what you said, and besides, I'm not the kind of old stubborn who drills the horns, and I still make sense of that. Since it is everyone's decision, I also want to see if there are any good seedlings among this group of students. ”

The next morning, the weather was still sunny, but the dormitory of the mathematics department was already empty. All the new students in the Department of Mathematics obviously took this exam very seriously. So I came to the exam room early, ready for the exam.

Less than eight o'clock, a thin middle-aged teacher walked into the examination room, the teacher was wearing an old blue tunic, wearing a pair of black-framed glasses, and his face was expressionless.

In the teacher's hand is a stack of test papers. After glancing around, he just lightly asked everyone to do the prescribed seats, and then began to distribute the test papers. During this period, it was not like the repeated orders on the discipline of the examination before the examination in later generations. No matter how much you think about it, you know that the students who can come to Mizuki University, one or two of them, are top students, and they don't think that others are stronger than themselves, so they don't have any ideas about other people's answers, and cheating is naturally impossible to talk about.

After the test paper was sent, Junxin glanced at it casually, for such an exam, Junxin actually had no interest, during the time when he was studying at Princeton University, in order to learn physics well, he had to make up for physics. Although he later discovered his talent in mathematics, he studied under the introduction of Professor Witten with Professor Thurston, Professor Wiles, Professor Gowers and more than a dozen professors who had won the Fields Medal or the Wolf Prize in Mathematics. In addition, he participated in various types of exercises in the Department of Mathematics for three days. The number of exams is countless. And both the breadth and depth are far beyond the scope of the current test paper. So for this exam, Junxin actually doesn't attach as much importance as others think.

There are a total of 20 questions in the test paper, the first 14 questions are all fill-in-the-blank questions, and the last 14 questions are all fill-in-the-blank questions. In addition to these 20 questions, there are two additional questions, although they are the kind of questions that can be done or not done, but I think basically everyone will try to solve these two questions.

On the whole, only the first ten questions in this test paper are still in the high school mathematics category, but it is also the kind of finale question. In the future, it will be the last two big problems of that kind of math problem. The last four fill-in-the-blank questions mainly test the knowledge of differentiation and integration, as well as partial differentiation and full differentiation. And the big questions are basically all about advanced mathematics. It involves knowledge of probability theory, set theory, topology, Riemannian geometry, differential geometry, etc. Even if you are a sophomore or junior in the mathematics department, you may not be able to do it well.

The last two questions, one is the knowledge of number theory, which is influenced by the famous domestic mathematician Mr. Chen Jingrun to solve the Goldbach conjecture 1+2, and number theory is almost the best branch of mathematics to learn in China. The other is to examine some knowledge of low-dimensional topology.

The duration of the exam is three hours, and under normal circumstances, solving these problems is dangerous not to mention three hours, even five hours, or even a day's time. Because these topics involve almost most of the mainstream branches of mathematics. Seeing this, Junxin seems to understand the meaning of this exam.

For mathematicians, creativity and imagination are at their most abundant in the period between their twenties and thirties, and mathematicians seem to be the youngest in relation to the law that the older the older the more powerful in other disciplines. That's why the Fields Medal, the highest award in mathematics, is awarded to mathematicians under the age of 40. Although this test paper involves most of the branches of mathematics, in fact, in terms of difficulty, only the last two additional questions are more difficult, and the rest can be solved with some time for students who have already been exposed to advanced mathematics. Therefore, people who can accurately solve all 22 questions in three hours actually have the potential to climb the peak of mathematics to a certain extent.

Mathematics is the most talent-oriented subject, and for mathematics, one percent of inspiration is generally higher than 99 percent of perspiration. Being able to solve these problems means that you have a high level of mathematical talent, and it is natural that you will be valued by the Department of Mathematics at Mizuki University.