Movie Poster of Dream Journey —— Why did Dream Journey win the Oscar?

Stefan Zweig, an Austrian writer, wrote a famous biography "When the Stars Glow" (there are several Chinese versions), and there are also popular mathematics books with similar themes in China, namely "The unreachable man: the stars glow in the mathematical sky" by Professor Cai Tianxin of Zhejiang University (published in 2009 and later renamed as "Mathematical Legend"). The stars are shining, which seems to be an appropriate description of many great men in the past. Perhaps it is more appropriate to describe great mathematicians in the past-it is said that mathematicians will never die, they just went to heaven. Last year, a wonderful film reflected a similar theme, that is, the travel notes of the dream ring.

Movie poster of "Dream Tour Ring"

As the Dream Tour Ring says:

Therefore, great musicians will never die, because their music has been sung by the world; Similarly, great mathematicians will never die, because their mathematics has been interpreted by the world.

The lives of Ka Kui Wong and Leslie Cheung are continued through Days of Our Lives and Ghost Story, and Jin Yong's martial arts novels will always have readers. Atiyah is remembered because his exponential theorem (together with Singer) has been used repeatedly, just as we still mention Euler, the great mathematician of18th century. I believe that after several years, "there are still (faint) whispers in the world, pursuing their legends."

In essence, they-whether musicians, actors, writers or mathematicians-are all one kind of people: artists. Artists are immortal because they have immortal works of art, for example, Cao Pi said in "Dian Lun Paper": "Building a chapter is a great cause of governing the country and an immortal event." The article is like this, and so is music mathematics.

Of course, the slight difference is that it often takes much more effort to appreciate mathematics (in essence, to understand mathematics), so only a few people can realize that mathematics is an art like music and articles.

Perhaps the best shortcut to truly understand this point is to listen to what these great mathematicians themselves have to say. We once shared the stories of some great mathematicians in the Series of Contemporary Great Mathematicians. Today, we will add the stories of three mathematicians. They are:

Sir Michael Atia.

SirMichaelFrancisAtiyah

algebraic topology

Fields Prize, Abel Prize

Former Dean of Trinity College, Cambridge University, the first director of Newton Institute, and honorary professor of mathematics at Edinburgh University.

Many scientists in the 20th century had complicated immigrant backgrounds and were forced to emigrate to other countries because of the persecution of German Nazis. This forced cosmopolitanism may broaden the horizons of these immigrant scientists and promote their subsequent careers. Although I am not a Hitler refugee, I spent my childhood wandering between Europe and the Middle East. My mother is Scottish and my father is Lebanese. We live in Khartoum. I attended high school in Egypt until I was 16 years old. My grandmother lives in Lebanon.

1945 We moved to England. After I finished my studies at Cambridge University, we stayed in the United States for a long time. I find it difficult to answer this question: where are you from? Similarly, when asked what kind of mathematician you are, I find it equally difficult to answer. I usually answer this question like this, but simply speaking, I am a geometer in a broad sense, which seems to find comfort in the famous saying "God is a geometer". For me, it seems that there is only one world, although some parts of it are more familiar than others, so there is only one math. I don't like political or cultural barriers. I find that ignoring them is an important stimulus to creative thinking. Ideas should flow out naturally without hindrance.

My mathematical development started with algebraic geometry, and then slowly and naturally turned to topology and differential geometry, then to analysis, and finally to theoretical physics. Every stage is a wonderful process, and I have established close friendship with many collaborators and broadened my horizons. FritzHirzebruch of Bonn is my first colleague and mentor, and his annual math meeting will be the gathering place of my generation. In Paris and Princeton, Jean-PierreSerre educated me through his clear and beautiful ideas and explanations.

At Princeton, Harvard and Massachusetts Institute of Technology, I have established close cooperation with RaoulBott and IsSinger, who taught me grouping and functional analysis. Back in Oxford, under the guidance of my old friend RogerPenrose, I took the first tentative step towards modern physics. Stimulated and guided by EdwardWitten, this gentle participation later developed into the mainstream. In the next few years, I was lucky enough to attract many smart graduate students, some of whom eventually became my colleagues and collaborators. I learned a lot from them, and I also realized how math taste and skills reflect a person's personality. The diversity of styles and viewpoints is welcome, and creativity is most prosperous with the least guidance and the most freedom and encouragement.

Mathematicians are usually regarded as intelligent machines, and their brains can process numbers and output theorems. Actually, as HermannWeyl said, we are more like creative artists. Although we are strongly bound by logic and physical experience, we use our imagination to jump into the unknown. The development of mathematics for thousands of years is a great civilization achievement. Some mathematicians, most notably G.H. Hardy, admire and despise anything with practical application value because of the "purity" of mathematics. I hold the opposite view. If anything I do finally finds practical value, I will be very happy. More generally, I think mathematics should contribute to science and society, and mathematics is one of the main parts of education and learning.

Because of these views, I always think it is my responsibility to play some general roles, such as Pugwash, President of the Royal Society and Dean of Trinity College, Cambridge. [Note: Pugwash is an organization composed of influential scholars and public figures who are concerned about reducing the danger of armed conflict and seeking cooperation to solve global problems. ] chairman. The future of mathematicians and their research privileges ultimately depend on society. Therefore, in return, we must repay this debt in various ways and urge our compatriots to adopt a friendly and tolerant attitude towards this strange profession.

Phoenix Braud

Felix. Browder

Functional analysis, partial differential equation

Professor of mathematics, former vice president of Rutgers University; Mei Sen is an emeritus professor of mathematics at the University of Chicago.

1927 was born in Moscow, Russia in July, and was brought to the United States at the age of five. My father, Earl Braud, was the leader of a dismissed American political party. He didn't even finish primary school. My grandfather is an unemployed primary school teacher. He is tutoring children, while my father is basically self-taught. My father opposed the first world war. He was the social leader of the anti-war movement in Kansas City, Missouri. Because he opposed war, he was imprisoned in 19 17- 1920. He has accumulated a library with more than 10,000 books in his life.

My mother was interested in astronomy at first, but she got a law degree from St. Petersburg University. This was very difficult before the Russian revolution, because she was Jewish and Kharkov was the only city where she could practice law. She became the mayor's secretary. Unlike her, the mayor is not from party member. My parents met in Moscow on 1926, when my father was visiting Lenin School, which was a school for training party leaders. At that time, he worked for the Kremlin in the Red Trade Union International (that is, a international trade union confederation). He is one of the American representatives of an international organization.

My two brothers Andrew and William and I are mathematicians. My brother William and I are the only brothers and academicians of the National Academy of Sciences. We are both presidents of the American Mathematical Association. 1970- 1980 during these eleven years, I was the head of the Department of Mathematics at the University of Chicago. In the middle period, William and Andrew were the heads of mathematics departments of Princeton University and Brown University respectively. I don't know why we are all attracted to mathematics.

I 1944 graduated from yonkers High School, and then went to MIT to study mathematics. I graduated from 1946 with a bachelor's degree. I am one of the top five winners of Putnam Competition, a math competition for American undergraduates. 1946, entered Princeton University. 1948, aged 20, received his doctorate with a paper on nonlinear functional analysis and its application. In the next 60 years, this field and partial differential equations have become my main interests, especially the nonlinear monotone operators from Banach space to its dual space.

From 1948- 195 1, I was one of the first two Moore mentors at MIT. Before 1955, there was no difficult time for mathematics employment, and I only had a lecturer position. Although I was recommended by the Department of Mathematics, any permanent or long-term position was rejected by MIT. 1953 I got the Guggenheim research fund. At the same time, I was assigned to the American army. In the army, I was listed as a dangerous person, and finally I was tested for it, and finally my innocence was cleared. From 65438 to 0955, I left the army and became a teaching assistant at brandeis University. From 65438 to 0956, I went to Yale University, where I went through all the academic steps and became a professor. 1963, I came to the University of Chicago and stayed there for 23 years. 1986, I retired from the University of Chicago and went to Rutgers University as the vice president. From 65438 to 0999, I won the National Science Medal of Mathematics and Computer Science.

You may want to know why I am sitting in a seemingly empty room. This is because we are going to move into this new house. One reason why we want to move is that I need more space to store my 35 thousand books. This library has many books on different subjects, including mathematics, physics and science, philosophy, literature and history, as well as some books on modern politics and economics. This is a rich library. I am interested in everything, and my library reflects all my interests. Taking mathematics as my profession is an adventure in my life. Among mathematicians I know, it is very rare to be interested in everything. One exception is the recent Gian-Caloro Tower.

Harold Kuhn

Harold William Kuhn

Game theory, mathematical economy

Honorary Professor of Mathematical Economics, Princeton University.

As I grow older, I believe more and more that our lives are controlled by accidents and the influence of others. My own life confirms this argument. Let me just talk about my life experience.

My math career will start with my electrical teacher, Mr. Brockway from Fuxi Junior High School in south-central Los Angeles. When I was eleven years old, he taught me the miracle of logarithm and let me solve some problems-setting switches (unipolar and bipolar) to control lighting in a complicated way. These "puzzles" are essentially combinatorial problems and play a central role in all my research. Mr. Broakeway also provides high-simulation, long-term audio equipment for Hollywood studios on a part-time basis, which gives me the ambition to become a radio engineer.

In arts and crafts high school, we benefited from the fact that teachers were stable jobs during the Great Depression. So our high school teachers are all doctors in chemistry or physics. Moreover, it was my physics teacher, Mr. Patten, who took me to visit the science and technology exhibition of California Institute of Technology, laying the groundwork for me to become an electrical engineer at California Institute of Technology one day. I have a letter of guarantee at UCLA, which accepts any high school student in California with an average grade of ~B~ or above. However, UCLA has one drawback. As a university established by the government, it bothers me that students are required to participate in military training of the reserve forces.

So, in the autumn of 1942, I became one of the 60 freshmen of Caltech/kloc-0, and the only one who didn't live on campus. The reason is simple: my parents are poor and can't afford my room and board at California Institute of Technology, so they moved to Pasadena and rented a house near the campus for $25 a month. My father suffered from severe heart disease in 1939, and the annual income of the whole family came from a disability insurance of about 1200 US dollars. My parents have never been to the fifth grade of primary school, so my academic ambition is a miracle for them. In the middle of the third year of California Institute of Technology,/kloc-0 was drafted into the army in July, 1944, and he changed from an electrical engineer to a double degree in mathematics and physics.

After completing the basic training of infantry regiment, he obtained the qualification of Japanese military professional training program and was sent to Yale University. E.T.Bell taught me several courses. He introduced me to OysteinOre, and OysteinOre allowed me to listen to his abstract algebra class for graduate students. At the same time, EarnieRauch, a friend of California Institute of Technology who joined the army with me, retired for physical reasons and has transferred to Princeton University to complete his undergraduate course in mathematics. I managed to cheat a week's leave from Yale to visit him, so I sat in the class of EmilArtin, ClaudeChevalley SalomonBochner, which convinced me that Princeton was a paradise for mathematics graduate students to further their studies.

1946 after I was discharged from the army, I returned to California Institute of Technology and completed my undergraduate study in June 1947. At that time, I knew very well that mathematics was my mission. My feeling was further strengthened by the appearance of FredericBohnenblust at California Institute of Technology, who was brought to Princeton by HermannWeyl. Bonenburst brought a breeze to the mathematics of California Institute of Technology, and he provided a modern point of view for the English stylistic analysis that was blocked in the early 20th century. He also supported my application for postgraduate study in Princeton. One weekend, he came to my home (the home was poor and there was no telephone) and invited me to meet Lefschetz, who was then the head of the mathematics department of Princeton University.

In this way, along this winding road full of accidents, I was finally led to the real training as a mathematician. However, opportunities once again played a role in shaping my career. RalphFox and I did a doctoral thesis on group theory, and when we proved some algebraic results by topological methods, we cooperated with AlTucker and graduate student DavidGale in a summer project to study the relationship between the newly born game theory and linear programming. This project determined the direction of my subsequent academic career, focusing on the application of mathematics in economics.

Every mathematician has his "favorite child". Personally, they are: using tree (a concept in mathematics) to represent extended game, Hungarian method, rotating shaft method approaching fixed point, and an elementary proof of the basic theorem of algebra. These are all combination problems, so they belong to the same type as the switch design problems I encountered when I was eleven years old.

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Lin thanked Northwest University volleyball friends Li Ru, Su and Li Ideality for their technical support!

Reprinted to the WeChat public platform "Fun Mathematics"

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Shu Xue ying Cai

Why did Dream Journey win the Oscar? I think "Dream Tour Ring" tells people the meaning of living, the pursuit of dreams and the discussion of family ties. Previously, "Dream Journey" was released in Chinese mainland, and the box office made great strides, not only because of the masterpieces of Pixar and Disney, but also because the film aroused widespread concern in society, and some people sang bad songs.

The story of Journey to the Dream Ring takes place in a small town in Mexico, where the protagonist MiG and his great-grandmother Coco were born. However, the MiG family may be the only "freak family" in this town. A shoemaker family who regards music as a scourge may be influenced by his grandfather, and the family can't stop MiG's love and pursuit of music.

With the arrival of the annual traditional festival-Day of the Dead, on this day, every family will stick distinctive Mexican paper-cuts on the windows and take out photos of their deceased relatives, so that the deceased relatives can reunite with themselves from the dead world through a "magpie bridge" composed of hundreds of marigold plants. However, because of an accident on the Day of the Dead, MiG crossed into the kingdom of death. MiG knows that he can't return to the real world before sunrise, and he will stay here forever. So MiG took the skeleton musician "eckert" and the dog Dante he met on the road to start a wonderful adventure.

If you happen to have never seen this movie, but read it here, you may think the story is old-fashioned, but Pixar and Disney can always bring these old-fashioned plots unexpectedly.

The main line of the story has the following two points: first, MiG's exploration in the undead world; The other is the feelings of great-grandmother Coco for her father (MiG's great-grandfather).

MiG's family hates music because MiG's great-grandfather "abandoned" his family and children (Coco) in pursuit of his musical dream. Even if MiG's musical talent is extremely high, his family will not let him engage in music-related activities. Mig gave up his dream for his family. When his dream collided with his family, MiG made the first choice.

Grandma Coco always remembers the children's song "RememberMe" written by her father, and her feelings for her father are vividly reflected with the children's songs that Coco hummed. The same is true of the embodiment of affection, and I never forget my loved ones.

With the end of the film, when coco was about to forget this children's song, MiG sang "rememberme" on the guitar, which awakened grandma's memory of her father and made people burst into tears. MiG is persistent in his dreams after all. It is precisely because of MiG's firmness in her dreams that she awakened the memory of her father in Grandma Coco's heart. All misunderstandings have vanished, and MiG will never be reprimanded by his family for his love of music.

I think it's not just poetry and distance, just like MIG, living in the present and doing what I like, just like MIG said in the movie: "Music is my life!" " Chasing the dream you love is also the meaning of living. Love what you love and think what you think.

The poster of "Journey to the Dream Ring" reads: "Please remember me before the memory of love disappears, our love will not disappear!" But what I want to say is: "I will never forget the memory before love disappears!" "

That's why I know Dream Journey won the Oscar.

Dream Tour Ring: Why death is not terrible, but being forgotten is terrible? This is a very good-looking movie, with love, affection, success, conspiracy, dreams and reality. Not only suitable for adults, but also very suitable for children.

The film tells us that death is not so terrible. They tell us the importance of love and what is real death. It's pathetic to have no friends. It can also cure pain.

The douban score of this film is 9. 1, and it has also won many awards, such as the 90th Academy Awards, the Best Animated Feature Film Award and the 75th Golden Globe Award, which is well worth seeing.

Movie bill

Wonderful fate, precious affection

The film is about a fantasy dream-seeking journey of a boy of 12 years old, and a wonderful journey of finding relatives.

MiG, the hero of the film, is a boy with a musical dream, but he was born in a family cursed by music, and he was not allowed to touch music at home. The contradiction began, and the story officially entered the theme.

By chance, he was transported to the land of the dead, so he wanted to go back to his idol: the famous god of songs.

On the way, he met Hector. MiG wants to get out of the dead land and return to the real world. Hector also wanted to go back to reality and see his daughter, and wanted to put his only photo on the family altar to change his fate that he might disappear completely at any time, so they left together.

Fate is so wonderful. It turns out that hector turned out to be MiG's great-great-grandfather. The famous song god he always worshipped killed his great-great-grandfather and stole hector's musical achievements, which made hector unable to fulfill his promise to his wife, making her hold a grudge against him and forbade her family to learn music.

In the film, MiG and Hector go forward together, experiencing difficulties and obstacles, and also enhancing mutual understanding and feelings. This road is also the road of his growth, which makes him understand the value of family ties.

Of course, in the end, everyone was happy, and the bad guys were punished. Hector did not disappear, because his photos were placed on the altar of the family, and his great-great-grandson still remembered him, and more people will remember him in future generations.

family reunion

The real death is being forgotten. It's pitiful to have no friends.

There is a point in the film that when the soul leaves the body and the body disappears, it is not the time when a person really dies.

Real death is: when no one in this world remembers him and there is no trace of him, it is a real death of a person, and this is the ultimate death.

David Eagleman mentioned in the Life List:

A person will die three times in his life.

For the first time, when your heart stopped beating and your breathing disappeared, you were declared dead biologically.

The second time, when you were buried, people in black attended your funeral. They announced that you no longer exist in this society, and you quietly left.

The third death is the last person in the world who remembers you and forgets you. Then, you really die, and the whole universe is no longer related to you.

How many people remember those who have passed away?

In the land of the dead, like the real world, there are prosperous places, dilapidated places, rich areas and slums. Of course, the god of songs is still respected by people, because many people remember him and he lived like this when he was alive.

But Ekto, a good friend of the former singer, is a lonely and wandering singer. He doesn't know where his future is, and he is in danger of becoming gold powder at any time.

Hector took MIG to borrow a guitar from a friend, watching his friend disappear in front of him, but he could do nothing about it, imagining his future and feeling dejected. "When no one in the world remembers us anymore, we will disappear into this world, which is called ultimate death."

Without friends and no one to care about, it is very difficult and pitiful to be a forgotten person and live in the land of death. So please be kind to our relatives and friends!

Keep me in mind.

Death is not terrible, but sacrifice is a memorial.

The film tells us that death is not terrible, and birth, old age, illness and death are normal phenomena.

When we lose the people we love and those who love us, don't be sad, don't get hurt, they are still there.

Death makes them exist in another form. Although the people we love are gone, we still remember them and remember the love they left us. They are still alive. This understanding also soothes our hearts hurt by the loss of our loved ones.

True love makes memories last forever, and true love makes those who have passed away still live in our hearts and in a corner of this world.

Death is not terrible. What is terrible is loneliness and isolation. When you have no contact with the world and no one remembers you, you are a completely forgotten person, a person abandoned by the world. This is the most terrible thing.

Sacrifice is a way for the living to remember, remember and commemorate the dead, and tell them that we still remember them, and they still live in our hearts no matter how time changes.

Sacrifice is a ceremony, an attitude and a way of remembering. Sacrifice is when we talk to them wholeheartedly. Whenever this time, I will tell them my recent situation, tell them the recent situation of other relatives and tell them not to worry. We are all fine, but we miss them very much.

We are still together.

Indeed, this film also has the function of healing pain, giving us another understanding of death and making us feel better at the same time.

Through movies, we know that the real death is: no one in this world remembers you anymore, not just the passing of the body.

By watching movies with children, we can talk with children about the topic of death, the importance of sacrifice, the meaning of survival and death.

Let life be beautiful like summer flowers and death like autumn leaves. Tagore

Live well and live with high value. And a person's value depends not only on his personal success, but also on how many people he helped and how much value he created. We find the value of our existence by helping others and realize our value by helping others.

So please be kind to your family and people around you, leave more beauty and let more people remember us, and life will be better.