90. Where the meaning lies
He understood every word Li Xuan said, but Xu Lingchu couldn't figure out how to reason and draw conclusions. He picked up the menu and looked at it thoughtfully, trying to follow Li Xuan's train of thought.
Other students also looked at Li Xuan in a daze, and were shocked that Li Xuan was so powerful in mental arithmetic and could calculate so quickly.
Lin Xuerui also picked up a menu to read and fell into silence.
She understands Li Xuan's reasoning, but she has to write to draw Li Xuan's conclusion. She cannot mentally calculate the solution to a system of linear equations. Li Xuan's computing power is incredible.
Recalling that Li Xuan gave three proof methods for Peng Serie's theorem last time, she saw that Li Xuan had a good sense of space.
But now Li Xuan has given him a new surprise, which is his strong logical reasoning ability and strong mathematical operation ability.
Lin Xuerui glanced at the menu for a few times, thought about it, and still found it incredible, "Li Xuan, can you really calculate in your mind that the braised pork is 16 yuan just by looking at it a few times?"
Li Xuan thought to himself that his computing power was not bad in the first place, but now his computing power has doubled than before. It would be strange if he does not crush the people around him.
However, Li Xuan couldn't tell anyone about this improvement in cheating. At the moment, he just said: "Coach, I am naturally better at calculations."
Liang Zhihui frowned after hearing this. Isn't Li Xuan good at geometry? When did he become good at arithmetic?
He admitted that he was jealous.
How could he not be jealous? He worked hard day and night just to surpass Li Xuan. Now he studies mathematics every day, hoping to be as tall as Li Xuan. However, the gap has not been narrowed, but has been widened.
The key is that now he feels more and more that Li Xuan is more talented than him, and this is the key point that hurts his self-confidence.
Li Xuan is a genius?
Lin Xuerui was also thinking about it, but quickly shook her head. Maybe she couldn't be considered a genius, it could only be said that her talent was better than hers.
Coming from the School of Mathematics at Peking University, she has never seen any real geniuses. She was admitted to Peking University and is considered a genius in the eyes of ordinary people, but she knows that so-called geniuses are just beautiful candy wrappers.
It's nothing more than spending all the time other people eat, sleep and play thinking. The time to think is ten times and a hundred times that of ordinary people, and the brainpower expended is ten times and hundred times of ordinary people, in exchange for ten times and hundred times the strength to crush the people around you.
Anyway, in Peking University, she has never seen anyone who can avoid falling behind without working hard. People who think they have a good brain but don't work hard will fail the class and repeat the grade. There is never a person who is born with it.
The title of genius must be backed by achievements to be worthy of the title.
It has fast response and fast calculation, but no academic achievements. It is an advanced computer at best. Without mathematical inspiration, it is still mediocre and of no use.
Some people are poor at calculations, but they have a computer as a tool, have good mathematical intuition, can think of things that ordinary people can't think of, and achieve fruitful scientific research results. They are still geniuses. Only academic achievements have a corresponding reputation, and scientific research has always been like this.
Mathematics is about cultivating thinking and leaving calculations to the calculator.
In mathematics competitions, there will be no extra points because you can calculate quickly. The examination leaves candidates with enough time to think, and it is also considered that no spiritual genius can be hidden.
Of course, fast calculation is not useless, it also has advantages, at least it saves unnecessary waste of time.
Therefore, it remains to be seen whether Li Xuan is a mathematical genius.
It is easy for future generations to deify their predecessors and raise their IQ to the level of gods. Scientology followers are all over the world.
But no one knows the actual situation. Mathematics attaches great importance to inspiration. Many people study for a lifetime, but they can’t compare to someone else’s sudden inspiration. People with strong mathematical intuition can be called mathematical geniuses regardless of their computing power.
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Speaking of mathematical geniuses, Lin Xuerui thought of Euler and Riemann.
If diligence is the most important trait of genius, she has never heard of anyone being more diligent than Euler, who studied mathematics until the moment he died.
Euler invented symbols such as the trigonometric functions sin, cos, tan, pi π, the natural base e, and the function f(x). He made complex knowledge easily understandable to ordinary people and influenced later generations for hundreds of years.
In the past, mathematicians tended to write complicated books, only writing conclusions and not thinking processes, for fear that others would learn from them. However, Euler kept his mathematical papers simple, for fear that others would not understand what he thought.
The four greatest mathematicians recognized in the history of mathematics are Archimedes, Newton, Euler and Gauss. Among them, Euler’s story is the least dramatic, and he is outside the three major mathematical geniuses. However, only when you come into contact with advanced mathematics will you discover
You can't get around Euler, he is everywhere and pervasive.
In addition, Euler's computing power was extremely strong, not only the four arithmetic operations, but also mental arithmetic in advanced mathematics. When he was blind, he pioneered "analytical mechanics" and "rigid body mechanics" and was hailed as the "incarnation of analysis" by later generations.
Li Xuan's computing power is first-class, better than her, and beyond the scope of ordinary people. Although it cannot be compared with super-class people like Euler, it is definitely better than 99% of people.
Inspiration, mathematical intuition, these things sound ethereal, and until the results are released, no one knows whether Li Xuan has them.
Of course, what she admires most is Riemann, the top genius in geometry. If Li Xuan had one-tenth of Riemann's creativity, he would be considered a genius.
If inspiration and creativity are another characteristic of genius, she could not find a mathematical genius more creative than Riemann.
After reading Riemannian geometry, she suddenly discovered that geometry could still be thought of in this way?
Riemann had a genius insight, proposed non-Euclidean geometry, the sum of the interior angles of a triangle is greater than 180 degrees, and discovered a new concept of space.
In Riemann's time, mathematicians believed that geometry was almost perfect. Like classical physics, it had reached a dead end and all that was left was tinkering. However, Riemann's pioneering work created new branches of mathematics.
.It is no exaggeration to say that he can be the father of modern mathematics.
Mathematics can be divided into algebra, geometry, analysis and number theory. His achievements in these four areas stand alone among the mathematicians of his time.
Later, Einstein didn't know how to describe his theory of relativity. After mastering Riemannian geometry, he opened the door to general relativity and completed the revolution in physics.
Einstein once said: "Only Riemann discovered a new concept of space in the last century... Space is no longer static."
Riemann left many difficult problems for future generations. The famous one is the Riemann Hypothesis, one of the seven major problems in the millennium world.
This kind of first-class mathematical genius shocked the past and the present, and is very rare in the entire history of mankind.
Due to various relationships, China has never had the soil for geniuses to appear. In modern times, our country has been plagued by disasters. Despite this, many famous mathematicians have been produced. Personal IQ and hard work are crucial.
The research time of several generations behind Westerners cannot be caught up in one generation, but will require the efforts of several generations. This is the meaning of mathematics competitions to select even just one mathematical genius who may have been buried.
Lin Xuerui looked at Li Xuan and thought a lot.
She was also a CMO gold medalist in high school and loved mathematics as much as life. However, regardless of the CMO gold medal, she had to accept her lack of talent. Without Riemann's abnormal mathematical imagination, even if it was only 1%, she would choose to study mathematics.
Keep going on this road instead of giving up halfway and become a Mathematical Olympiad coach.
It is difficult to say whether Li Xuan will embark on the path of scientific research in the future, but she feels that even if the probability is very low, if Li Xuan is really a mathematical genius, she cannot let the pearl fall into dust.
Chapter completed!