I Just Want to Be a Quiet Top Student

"Dear Professor Muller, may I ask what that bastard Manning did to you?" Shen Qi asked with great concern. He has a strong interest in the history of mathematics.

Whether it is the history of ancient mathematics or the history of modern mathematics, Shen Qi has certain research experience.

When he was training in the Provincial Mathematical Olympiad team during the second year of high school, ancient Babylonian mathematics brought Shen Qi into the vast history of mathematics, and his interest in and research on the history of mathematics began at that time.

Shen Qi can tell some anecdotes about any famous mathematician, unless the mathematician's daily life is dull.

In the history of modern mathematics, Shen Qi has never heard of Tony Manning, and he is very interested in learning about it.

"People are so close, but their souls are far apart." Professor Muller sighed with emotion, recalling the New Jersey past between him and Tony Manning in a vicissitudes tone of a black and white documentary.

In the 1970s and 1980s, Muller followed his mentor Gödel in Princeton and spent the last part of his life with the mathematician Gödel.

According to Muller's recollection, this was the most important period for him, and it was his academic maturity and finalization period.

In addition to academic achievements, Mueller also found love and friendship during that time.

Muller fell in love, he fell in love with an American girl.

The American girl is kind, sexy, passionate, and beautiful. She is a dancer in a club. She also loves Muller. Their love quickly heats up. After three months of knowing each other, they entered the palace of marriage.

At the same time, Muller met his important academic partner Tony Manning, a muscular young American.

The two young mathematics researchers have a high degree of agreement in academic thinking, and they can be called heroes. They have successfully cooperated in many projects. Tony Manning was once nominated as a candidate for the "MacArthur Genius Award", which is only awarded to the United States. Indigenous scientific genius.

But Tony Manning has a bad hobby. He likes to gamble and often goes to Atlantic City not far away to try his luck.

Tony Manning, who is proficient in mathematics, is lucky. Others lose nine out of ten bets, but he wins nine out of ten bets.

Moreover, Manning can control his desires. Every time he gets one or two thousand dollars or even hundreds of dollars, he will leave the casino and spend a lot of time drinking to have a good time.

No matter how careful you are, accidents still happen.

Once Tony Manning missed, he failed to suppress the devilish impulse, gambled big, lost all his savings overnight and owed as much as $150,000 in debt.

Usury loans are calculated on a daily interest basis. If the money in the underworld is not repaid when it is due, the consequences will be very serious.

Tony Manning, unable to pay back, loaded the magazine of the revolver with bullets, ready to see God once and for all.

It was Mueller who saved Manning's life, and Mueller helped Manning pay off his debts.

Muller spent all his money and sold one of his two limited-edition classic cars.

Manning had nothing to repay, and vowed to repay Mueller's life-saving grace with his life and faith.

The "Muller-Manning Theorem" was put forward during this period. Manning played a certain role in the conjecture and proof of the theorem, and was extremely active.

Then Muller went on a business trip to Europe. Because the meeting was temporarily canceled in the middle of the meeting, Mueller returned to the United States ahead of schedule.

Opening the door, Muller found his wife and Manning having a passionate scene in the living room, so passionate that the sofa pillows were torn apart...

...

"The room smelled so dirty that it was suffocating. I wanted to kill them both and then commit suicide." Decades later, Mueller is still brooding: "But I didn't kill in the end, I left the United States Back in Germany, found a new job at the University of Bonn."

"Bastard, Manning is a damned bastard! An ungrateful super scumbag, he must go to hell!" Shen Qi angrily thumped the table, understood, and understood this history of mathematics.

Wealthy and loyal German middle-class scholars raised American white-eyed wolves who are proficient in eating, drinking, whoring and gambling.

The summary is that I, Muller, treat you Manning as a brother, and help you pay off your gambling debts, so that you can avoid the tragic fate of being tied up by a black society and thrown into the Atlantic Ocean to feed fish, but you, Manning, slept with my wife and tore up my sofa pillow.

After returning to Germany, Muller found a divorced German female accountant, and the two got married, both of whom were second marriages.

"My current wife is very nice and gentle, so the past, let it go." Mueller returned to his normal state of mind after telling the exciting history in a sad and indignant mood.

"I'm sorry to hear this, Professor Mueller." Shen Qi felt sorry for Professor Mueller, and at the same time thanked Professor Mueller for sharing with him this unforgettable past that made him want to commit suicide.

This shows that Professor Muller did not regard Shen Qi as an outsider. It takes a lot of courage to speak out about being raped by his best brother, and he will only tell his confidantes.

"Shen Qi, you must not get involved in gambling, otherwise I will not admit that I am your mentor." Mu Le warned Shen Qi seriously.

"I have no interest in any form of gambling. Don't worry, I will never touch this in my life." Shen Qi said solemnly.

Mueller nodded gratified: "Good boy, let's discuss the re-proving of the 'Muller-Shen Theorem' in detail."

"Okay, let's start now."

Strictly speaking, the "Muller-Shen theorem" can only be called the "Muller-Shen hypothesis" at this stage.

Anyone has the right to put forward any form of hypothesis or conjecture, and publish it on the world's largest public website.

"I predict that there must be life on planets 3.28 million light-years away from Earth. They have a body structure and civilization similar to humans. We can become friends."

This is a conjecture, put forward by a 13-year-old middle school student in Ohio, USA, and posted on his mother's Twitter, which attracted many fans to comment and like.

If scientists can't come up with strong evidence to deny the middle school students' conjecture, then this conjecture will always exist until it is proved or overthrown.

It's just that scientists don't pay attention to a middle school student's conjecture. This kind of conjecture has no academic value, and it is difficult to verify it with the current experimental equipment.

For the unconstrained, seemingly absurd, worthless conjectures put forward by unknown people, the attitude of scientists is mostly: You can make conjectures at will, and I will seriously count myself as the loser.

Scientists often pay attention to conjectures or hypotheses proposed by well-known scholars that are professional, logically supported, have academic value, and are theoretically verifiable at the current stage, and carry out verification.

The "Mill-Manning Theorem" has professionalism, logic and certain academic value, and was first proposed jointly by Muller and Manning.

In Shen Qi's view, the three theorems of the "Muller-Manning Theorem" are theoretically valid. The reason why they have not been recognized by IMU for more than 30 years is because there are loopholes in the proof.

That exciting thing happened between Mueller, Manning, and Mueller's ex-wife. Mueller and Manning haven't seen each other for more than 30 years.

Therefore, the revision of the "Muller-Manning Theorem" was interrupted, spanned a century, and dragged into the 21st century.

The late Manning was blacklisted by Muller, and Shen Qi is now taking Manning's place to complete the follow-up work.

The "Muller-Shen theorem" follows the three assertions of the "Muller-Manning theorem" verbatim, and the core work is to use the mathematical methods of the 21st century to complete the rigorous proof.

More than 30 years have passed, mathematics is improving, classical theories are still classics, and specific processing methods are being updated.

After a week of discussion, Shen Qi thought that approximation should be redefined.

This is the premise, the foundation, and the weapon.

Muller agrees with Shen Qi's idea setting. He seems to have regained the passion he had when he was immersed in learning.

"Recalling the history of approximation compactness and related definitions, this definition was first proposed by Gefimov as a property of Banach spaces that can guarantee that any x∈X has an optimal approximation element in a non-empty closed convex set. "Shen Qi found a bunch of literature, and while working on professional topics, he also sorted out the history of mathematics in more depth and detail.

Shen Qi has always wanted to write a history of mathematics, which he thinks is very meaningful.

However, due to his limited level and insufficient accumulation, Shen Qi is still in the stage of conception, learning, and accumulation.

Compared with the vast variety of professional mathematics textbooks, there are too few books related to the history of mathematics. The truly classic reference books on the history of mathematics can be counted with a slap.

The most classic history of mathematics recognized in the industry is "Ancient and Modern Mathematical Thoughts" compiled by American Klein. Shen Qi recognized the academic status of this history of mathematics.

However, the history of mathematics written by Klein is not suitable for people other than mathematics professionals to read. Most of the content in the book is advanced mathematics professional theory, and mathematics students with poor grades may not understand it.

Shen Qi's ambition is to write a history of mathematics that is both in-depth, accessible and interesting.

Chinese people with a score of 100 or above in mathematics in the college entrance examination (the full score is calculated as 150 points) should be able to understand half of the content of Shen's history of mathematics.

People who have never passed high mathematics in college should be able to understand 90% of the content of Shen's history of mathematics.

Even if you don't understand mathematics at all, as long as you can read characters, you should be able to understand one-fifth of the content of Shen's history of mathematics.

This is Shen Qi's setting for a history of mathematics that can be widely circulated, and he hopes to accomplish this meaningful thing.

"Yes, I remember that in the late 1970s and early 1980s, Magneson proved that X is locally uniformly convex at the midpoint, if and only if the closed ball of X is an approximate compact Chebyshev set." Professor Muller will Shen Qi pulled back from history to reality.

"It was at that time, Professor Muller, that you proved that if C is an approximate compact set, then the projection operator is upper semi-continuous." Shen Qi said.

"Yes, this was probably the only valuable thing I did at the time. But it was useless, and other discussions could not be effectively connected, so the IMU has not recognized the theorem I proposed in 1982." Muller in his sixties When I was in my thirties, I summed up my performance in my thirties. All in all, I think young people are inexperienced.

"So based on Professor Mueller's proof, I boldly propose a new definition, please see..." Shen Qi handed a blank sheet of paper to Mueller.

After reading Shen Qi's manuscript, Mueller said with certainty: "I think the IMU will recognize the 'Muller-Shen Theorem' within three months."

"Perhaps it should be called the 'Shen-Muller Theorem'. Shen Qi, you have made a greater contribution." Professor Muller added.