The deceased Yang Le: a mathematical star who happened to be elected.

 

Cover picture Yang Le

On October 22nd, 2023, Yang Le, an academician of China Academy of Sciences, died in Beijing at the age of 83. People’s vision/photo courtesy

In 1981, the Chinese Academy of Sciences held a general meeting of faculty members, and Hu Keshi, then deputy secretary of the Party Group of the Chinese Academy of Sciences, reported to Deng Xiaoping. Deng Xiaoping specifically asked, "Is there anyone under the age of 50? Is there anyone under 40? " Hu Keshi said that the youngest is Yang Le, 41 years old.

From 1977, when his name appeared on the front page headline of People’s Daily, he became a national idol overnight and became the youngest academician, the curtain of Yang Le’s life really opened. In the next 40 years, Yang Le completed the transformation from a "mathematical star" to a manager, and became one of the masters in China’s mathematical field.

Qiu Chengtong, the first Chinese winner of the Fields Prize, said that if he chose a career, Yang Le would have a good chance. "But he doesn’t seek fame and fortune, and thinks that China’s mathematical future is more important than anything else. His selflessness is admirable, and he has made great contributions to the development of mathematics in China. ". Qiu Chengtong said: "He can afford the word" unparalleled national scholar "!"

On October 22nd, 2023, Yang Le died in Beijing at the age of 83. In the obituary, the Institute of Mathematics and System Science of Chinese Academy of Sciences wrote, "Yang Le is a leader in the field of mathematics in China and a model of an era."

Yang Le has been fond of mathematics since he was in junior high school. When I was in high school, it coincided with the implementation of the national "First Five-Year Plan". In response to the call of "concentrating on industrialization", many young people chose to study engineering. "The Department of Electrical Engineering in Tsinghua University is recognized as the most ideal department and major".

This made Yang Le feel contradictory, but he still felt that he was "more interested in mathematics". In 1956, Yang Le was admitted to the Department of Mathematical Mechanics of Peking University; Six years later, he and his classmate Zhang Guanghou were admitted to the graduate school of Mathematics Institute of Chinese Academy of Sciences in Xiong Qinglai. Xiong Qinglai is a senior figure in China mathematics, and mathematicians Chen Shengshen, Hua Luogeng and physicist Qian Sanqiang are all his students.

When he was in the graduate school of mathematics, Yang Le showed his academic talent. In college, Yang Le’s research direction was that the generalized analytic function was emphasized in function theory; After entering the Institute of Mathematics, Yang Le nominally majored in function theory, and the specific direction was determined as function value distribution theory. According to the training mode of the Institute of Mathematics, graduate students are equivalent to junior researchers, who can study and carry out academic research at the same time. Two years after entering the Institute of Mathematics, Yang Le began to publish articles in 1964.

"At that time, there was almost no communication between domestic academic circles and the international community, and we did not notice the latest international progress." Yang Le said that under the guidance of Xiong Lao, they quickly approached the forefront of research work and reached the international advanced level through in-depth study of French classical theories.

In January, 1965, Yang Le and Zhang Guanghou completed the paper "Research on Normal Rule of Analytic Function Family with Multiple Values I: A New Rule and Its Application" in French. In September of the same year, China Science published the paper.

If we want to trace back to Yang Le’s academic career, this paper co-authored by him and Zhang Guanghou may be a good start: since then, their research results have been recognized internationally.

Yang Le recalled that shortly after the publication of the article, the "Cultural Revolution" broke out and all academic activities stopped. It was not until 1971 that the policy of the Chinese Academy of Sciences was loosened that they had the opportunity to consult the literature.

In the library, Yang Le and Zhang Guanghou found that in 1969, an American scholar quoted an article co-authored by the two men and a paper published by Yang Le in 1964 in his doctoral thesis. The scholar’s paper was published in a very famous international mathematical journal.

The American scholar pointed out in his paper that the research by Yang Le and Zhang Guanghou "solved an unsolved problem raised by the British mathematician Walter Hayman at the International Conference on Function Theory in London in 1964". But because of the lack of academic exchanges, the two didn’t even know what the question raised by Watt Hyman was.

In the summer of 1965, Xiong Qinglai felt that the students had finished their studies and done a good job in research, so they could graduate early. To this end, he wrote a formal to the Institute of Mathematics

The two giants in the Premier League compete for it! 27-year-old star wants to go: 68 games with 32 goals, priced at 80 million.

The 27-year-old Ivan Toni is once again caught in a transfer rumor. On November 1st, the British Evening Standard revealed that Chelsea and Arsenal, the two giants in the Premier League, are competing and hope to sign Tony in January next year. Brentford offered Tony a price of 80 million pounds, and the players sought to leave the team and play for a better club.

There is no doubt about Ivan Tony’s ability. In the Premier League in 2022-23, Tony scored 20 goals, ranking third in the top scorer list, only behind Harland (36 goals) and Kane (28 goals). During his Premier League career, Tony scored 32 goals in 68 games, and his efficiency was not bad. However, Tony got into big trouble: he bet on a football match, was banned by the FA for eight months, and will be released on January 17th next year.

The Evening Standard pointed out that brentford was willing to sell Ivan Toni for 80 million pounds. Objectively speaking, this price tag is somewhat inflated: Tony’s contract is only one and a half years, the player’s valuation in Germany is 30 million pounds, and he has not played a formal game for half a year.

There is no room for a big bodhisattva in a small temple. For his future, Ivan Tony is very clear: he wants to leave brentford and go to an "elite club". To this end, Ivan Toni also changed his agent and let Banert (who used to be Bell’s agent) handle his own transfer.

According to the analysis of the Evening Standard, both Arsenal and Chelsea intend to make moves in January next year:

Arsenal’s goal is still to compete for the Premier League title. If a scorer with 10 goals in the middle of the game is introduced in January, it will be of great help to the championship. Although Arsenal have Jesus and Nketiya, they are not prolific centers. Arsenal manager Artta appreciates Ivan Toni’s scoring ability. This summer, Arsenal spent 200 million pounds to bring in Tony in the winter window. The Gunners need to sell players to raise funds first.

Chelsea, with deep pockets, also intends to supplement the front line. Chelsea spent 1 billion pounds, completely overthrown and rebuilt, and there was not much improvement. This season, the Premier League only scored 12 points in 10 games and scored only 1.3 goals per game. In January next year, Jackson will play in the African Cup of Nations. Chelsea, which was originally weak in attack, needs Tony’s help.

Tony, who returned from the ban in January, hopes to complete the transfer in the winter window, seize the opportunity of half a year, strive for more goals, win the trust of English coach southgate and be selected for the European Cup 2024. As an excellent striker in the Premier League, Tony has only played for England once, which is not in line with his strength.

Summary of Olympic Men’s Football Team: Invincible Argentine Entertainment China Football Laughs the World.

  After 32 contests, the Argentines won the championship as they wished, and the Olympic song ended.

  In this tournament, the Argentines won all six games, and their irresistible trend shows that the Argentines will be the favourites to win the championship in any adult event in the next decade; Nine teams from Europe, South America and Africa dominate the quarter-finals, which shows that Europeans, South Americans and Africans will still be the mainstream forces in international football in the future.

  Those who took advantage of the host to enter the international stage woke up after three sleepwalks. Our gamble turned out to be so naive and ridiculous.

  After this Olympic Games, the three-level world pattern of international football has not changed. Europe, South America and Africa are the overall leaders, while Argentines lead the super-class teams. Asia, Oceania and North America are still supporting roles. Taking the road of entertainment, China’s football has exploded all over the world.

  Four gold cups stand up the Argentine dream team

  If the "Dream Eight" on the basketball court is the scheduled champion, then the Argentine team on the football field is the "dream team" who came to receive the gold medal. In the end, the Argentine football dream team, which took the lead in holding the final, won the Olympic champion with a total victory.

  History tells you how strong Argentina is.

  In the 1997 World Youth Championship in Malaysia, the Argentine team won the championship under the leadership of captain No.8 Riquelme, and this time he led his teammates to get back the gold medal at the Olympic Games with the captain’s armband. At the 2004 Athens Olympic Games, Argentina won the championship with six wins without losing a goal. At that time, Mascherano, who was wearing the No.5 jersey, did everything he could to save the day. This time, Mascherano, an over-aged player, had stronger cleaning ability than four years ago. At the 2005 World Youth Championship in the Netherlands, Argentina regained the World Youth Championship. At that time, Messi, wearing the No.18 jersey, won the Golden Boot and the Golden Globe with six goals. At the 2007 World Youth Championship in Canada, the Argentine team won the championship again. At that time, aguero, the captain wearing the No.10 jersey, also combined the golden ball and golden boots with six goals and three assists. Even No.11 Di Maria, who scored the winning goal in the final between this Olympic Games and Nigeria, was a super substitute for Argentina to win the World Youth Championship last year, when he scored three goals in 255 minutes.

  Riquelme, the captain of the Malaysian World Youth Championship in 1997, and Mascherano, the main champion of the Athens Olympic Games in 2004, are over-age players. Messi, the MVP of the Netherlands World Youth Championship in 2005, and aguero, the MVP of the Canadian World Youth Championship in 2007, each led several outstanding teammates of the right age to form an Argentine dream team with four world champions as the team. This is the invincible Argentine team that won the men’s soccer gold medal in the Beijing Olympic Games.

  When such a team won the championship in Beijing Olympic Games, no amount of descriptions were pale. How to play football, technology, speed, strength, confrontation and tactics, this Argentine team is omnipresent and can be organically integrated. They are the blueprint of modern football; How to develop football, every youth competition will win the championship, and then the elites of various world champion teams will regroup and win the world championship. This is the Argentine theory.

  Argentina won the football gold medal in this Olympic Games. However, this is only the beginning of an era. In the next decade, this team composed of five world champions will be a strong contender for the championship in any event, whether it is the America’s Cup or the World Cup.

  Olympic quarter-finals draw international football map.

  If Argentina’s advantages and Argentine’s attention make them stand out in this Olympic Games, then Europe, South America and Africa have defined the mainstream power of international football in the future with their overall strength.

  Of the 16 teams participating in this Olympic Games, 4 are from Europe, 2 are from South America and 3 are from Africa. As a result, Belgium, Netherlands and Italy in Europe all broke through the group stage, C? te d ‘Ivoire, Cameroon and Nigeria in Africa reached the top eight at the same time, Brazil and Argentina in South America both reached the semi-finals, and there were 9 teams participating in Europe, Africa and South America. As a result, they swept all the seats in the quarter-finals.

  It is worth noting that although one of the four participating teams in Europe has fallen behind, their historical delay in emphasizing the league over the Olympic Games and even refusing outstanding players to participate in the Olympic Games proves that the fact that Belgium is the only representative in the semi-finals does not mean that European football has fallen behind. On the contrary, their league-based approach has ensured that European football always runs on a benign track.

  Brazil has not exhausted its elite. Although Ronaldinho, an over-aged player, played, the Olympic football match is more like Ronaldinho’s mandatory recovery training after half a year’s vacation. What we saw after the resumption of Serie A in September was the real superstar.

  As participants in Olympic football, seven teams from Asia, Oceania, Central and North America and the Caribbean exposed the gap in actual combat. Even the slightly better teams from South Korea and the United States can only get a draw against their rivals from Europe, Africa and South America, and more points can only be obtained from their rivals from Asia, Central and North America.

  Obviously, after this Olympic Games, international football will still be dominated by Europeans, South Americans and Africans, while teams from Asia, Oceania, Central and North America and the Caribbean will still be supporting players in international competitions in the next few years, and this pattern will basically be maintained in the 2010 World Cup in South Africa and the 2012 London Olympic Games.

  Entertaining China football laughs at the world.

  As the host, the China men’s soccer team occupied the leading role in the Olympic Games by stealing the drama. The hooliganism and the "Ah Q spirit" of both teams in the same group reached the semi-finals, and their tenacious defense when they were 0-3 behind Brazil was almost the same as that of the Seoul Olympic Games 20 years ago. Only this time, the China Football Association’s "calling for the semi-finals" forced FIFA to return the honor of "the least enterprising" to China football.

  After spending countless money and four years of careful preparation, China Football failed to form a complete team with its own style of play. In this Olympic Games, China players didn’t show their ability to play football at all. China Football Association used four years’ careful preparation to show their own "powerlessness". China football was not only extremely amateur, but even brought bad luck to all people related to China football.

  Two of Serbia’s three over-age players came from Shandong Luneng. Although Jifcovici and milian performed well, and milian, who played forward, scored a goal, Serbia’s performance was disappointing. They lost seven goals in three group matches ahead of schedule, the most of all teams.

  Two of Honduras’ three over-age players also came from the Super League, but striker Martinez from Shenhua failed to bring a goal to the team, and Ka barreiro from Yatai could not stop the team from conceding five goals. After three group matches, Honduras not only became one of the only two teams that lost all three games, but also ranked second from the bottom with five goals, just like China.

  A joke about reaching the semi-finals, two ugly red cards, three disappointing performances, in addition to the mocking slogans of Nigerian fans, the storm caused by Brazil year-on-year, and of course, the most classic is the cheers of China fans. There is a joke that entertains China football like this: After Argentina won the championship, Messi accepted an exclusive interview with Ole newspaper, in which he talked about the enthusiastic support of China fans for Argentina. At the time of the rise, the reporter asked him to say "Come on Argentina" in Chinese. He smiled shyly and clearly said "Xie Ya long xia Ke".

  (Ximu)

The Lakers did not hesitate to renew Brother Thick Eyebrows, who is the highest-paid contract in the NBA.

On August 5th, Beijing time, everyone was considering whether the Lakers would renew the contract with Brother Thick Eyebrow. After all, Brother Thick Eyebrow’s past injury history was not very good, but I didn’t expect that the Lakers could not wait to complete the contract renewal with Brother Thick Eyebrow on the first day when they were eligible to reach a contract renewal with Brother Anthony Davis.

Brother Thick Eyebrows didn’t hesitate. The two sides hit it off and signed the three-year contract with a total value of $186 million. For the Lakers, they are ready for James to retire. When James leaves, Brother Thick Eyebrows is their greatest reliance and can complete their rise.

It is worth mentioning that the average salary of this contract of Brother Thick Eyebrows reached 62 million dollars, which is the highest average salary renewal contract in NBA. I have to say that the Lakers have given Brother Thick Eyebrow enough respect, and Brother Thick Eyebrow also knows the sincerity of the Lakers, so the two sides will hit it off so well and have such a tacit understanding.

Last season, Brother Thick Eyebrows played 56 times in the regular season, averaging 25.9 points, 12.5 rebounds, 2.6 assists, 1.1 steals and 2.0 blocks. He became the third player in the history of the Lakers to average 25 points, 10 rebounds and 2 blocks in a single season since the 1973-74 season, so Brother Thick Eyebrows is still very strong.

Moreover, under the leadership of Brother Thick Eyebrows, the Lakers reached the Western Conference and narrowly lost to the Nuggets. In this offseason, the Lakers reinforced Vincent and other powerful experts, leaving behind a group of heroes. In the new season, the Lakers are still expected to hit the championship, even better than last season.

If Brother Thick Eyebrow is not injured, then the Lakers will have a backbone in the future, which is also the fundamental reason why the Lakers will not hesitate to renew Brother Thick Eyebrow. I hope Brother Thick Eyebrow can maintain a healthy body and not want glass attributes.

Goodbye Russell! Two for one to get 12+11, congratulations to James! The Lakers will take off.

On August 4th, Beijing time, the NBA free market has been opened. Among them, Lakers player Russell said in an interview with the media that I should do whatever the team asked me to do last season, so I don’t have to be the key.

Recently, according to Marc Stein, the Lakers are interested in pursuing cappella of the Hawks, and have offered a 2-for-1 trading scheme. The specific content of the transaction is that the Lakers send Russell and a second round of signing, and get cappella in exchange.

It is worth mentioning that Russell averaged 17.4 points, 2.9 rebounds and 6.1 assists, shooting 48.4% from the field and 41.4% from three points. Capella played 65 games for the Hawks last season, averaging 12 points, 11 rebounds and 10.9 assists and shooting 65.3%.

In this transaction, the Lakers got cappella, sent Russell and a second round sign in return. Cappella is 29 years old, 2 meters tall and weighs 115KG. She is the 25th show in 2014. He has excellent athletic ability and good ability to finish the ball near the basket. His conversion attack is excellent and he is a good pick-and-roll player. He has a keen sense of defense in the restricted area and excellent blocking instinct.

For the Lakers, this deal is worth considering. With cappella, the team will form the starting lineup of James+Davis+cappella+Rivers+Reddish. Cappella is a good fighter, and his defensive ability is very good. The inside strength of the Lakers can be improved, and the offensive and defensive ends will be more balanced. What do you think of this?

should i stay or should i go? Tenhage revealed the latest situation of Rachford’s future at Manchester United.

Eric Tenghage said that the contract negotiation with Marcus Rachford will be held later. He also believes that Rachford is willing to stay at Manchester United and hopes to have a positive result when negotiating a new contract with the player.

In an interview with reporters, Tenghage said: "I know it will take time. But I don’t talk about this process. At present, this is for me andRachfordIt doesn’t matter to me. For him, it is to score more goals this season. He is having a wonderful season and the team is also having a wonderful season. We have to get into the Champions League and focus on it.RachfordIf you want to stay, we also want him to stay, so I think we will reach an agreement. "

Rachford, whose current contract expires next season, is undoubtedly one of United’s best players this season, scoring 29 goals in 53 games.

Liverpool have become accustomed to robbing the rich and helping the poor this season, and there is no victory against the newly promoted Red Army.

At 20:30 Beijing time, Bournemouth played Liverpool in the Premier League. In the first half, Billing scored a goal, in the second half, jota made a point, and Salah missed a penalty. In the end, Bournemouth defeated Liverpool 1-0. Liverpool have no chance to surpass Tottenham in the standings and still rank fifth, while Bournemouth escapes from the bottom.

Liverpool have finished all the Premier League away games against newly promoted horses this season, but they have failed to win any of these three games.

Liverpool drew 2-2 with Fulham and then lost 0-1 to Nottingham Forest.

According to statistics, Liverpool have lost two games in a row against the team at the bottom of the standings. The last game was lost to Wolves, the team at the bottom, 0-3 on February 4. This is also the first time that Liverpool have lost to the bottom team twice in a row since 2011, when the team lost to Wolves and West Ham United.

In addition, Squawka statistics show that Liverpool have five Premier League games starting at 12: 30 noon (local time) so far this season, and they have never won in five games and scored only two goals.

The results of these five games are as follows:

Fulham 2-2 Liverpool

Everton 0-0 Liverpool

Nottingham Forest 1-0 Liverpool

Liverpool 0-0 Chelsea

Bournemouth 1-0 Liverpool