The dean's words evoked Jiang Chanji's memories.

When he was still living an ordinary life in an ordinary high school as an ordinary person, exams were commonplace, and the more he got to the senior year, the more he took a small test every three days and a big exam every five days, and the most difficult thing for most of the students in the class was definitely the math exam, whether he planned to study literature or science in the future, he had to be beaten by the math test before finishing his high school studies.

In terms of the average academic ability of most middle school students, assuming that the full score is 100 points, the mathematics test basically hovers between the passing line and 80 points, and those who can score about 90 points are already considered the top students in the class, and the full score is basically unimaginable.

The last big question on the math test is the finale and is often the litmus test of math proficiency. The purpose of the exam is to divide students into three, six, nine, etc., to produce a degree of discrimination, and the difficulty design of the finale question must be to let most students stare dryly after writing a "solution" or "proof" two words, and even some students who are slow to do the question have not written the finale, and the exam time is over.

Jiang Chanji is not much better than the average student, and it is good to get half of the score in the finale, while the two or three top math students in the class who are qualified to participate in the Olympiad can only get a full score in the finale in a few cases, and compared to the cumbersome process of solving the problem, these Olympiad players can often find another way to solve the problem with a fairly concise and clean idea, sometimes more concise than the standard answer provided by the teacher.

For a while, he was at the same table with an Olympiad player, and the two of them were doing practice problems together, and when he saw a particularly complicated problem, his head was a mess, all of which were full of various mathematical symbols, and after a few strokes on the scratch paper, he quickly found an idea, and wrote it with brushes, which made him secretly frustrated.

Therefore, the same question, in the eyes of ordinary students, is probably different from that of Olympiad players, right?

Moreover, this is still the Olympiad players in the class, at best, it is amazing to win a gold medal in the provincial Olympiad competition, when the difficulty is further improved, in the national Olympiad competition, when facing the national Olympiad players, these provincial Olympiad players are not just like ordinary students when they face them?

Does the same question look the same in the eyes of provincial and national Olympiad players?

However, this is not the end, even the students who have won the gold medal in the International Mathematics Olympiad have basically stood at the top of the mathematics level of middle school students, but the gold medalists who have been cultivated over the years are only geniuses in solving problems, and how many mathematicians have grown into the founding of the sect and left their names in history?

The gap between an ordinary middle school student and a mathematician is not an exaggeration to describe it as "one out of a million", so the question of the dean can also be extended to - does the same math problem look the same in the eyes of ordinary students and in the eyes of genius students who have the potential to become mathematicians in the future?

Do ordinary people feel the same piece of music as they do when they listen to Mozart?

Definitely not the same.

It may be that considering that there are students like Fu Su who have not experienced beatings in ordinary schools, the head of the academy took the initiative to answer this question after leaving them some time to think.

"In the process of selecting teachers for our school, I sent representatives to visit a lot of math geniuses – real math geniuses, not just problem-solving geniuses. In order to understand their thoughts, the delegates I sent listened carefully to their lectures and carefully studied their papers, which represented that they had a certain degree of mathematical attainments, but after listening to and reading them, they found that their thinking processes were not at all understandable by the representatives. "Can you understand how it feels?" the dean came back to me and told me that she could understand what they were saying, what they were writing, but she just couldn't understand how they came up with it. ”

In fact, Jiang Chanji wants to say that in the mathematics class of those daughters in this school, there is really no need to spend a lot of money to invite a math genius to be a teacher...... Of course, this is a joke, those teachers must also be responsible for the scientific research of basic science, and the lessons to students are just entertainment and adjustment.

"I wonder if you've heard of Hilbert the mathematician?" asked the dean.

They shook their heads.

"Hilbert is a very powerful man, known as the 'Wizard of Mathematics', and he came up with the concept of Hilbert space, but today I am not going to tell you about his mathematical achievements, but to tell you a little anecdote about him - it is said that he has a special ability. The dean said mysteriously.

"Huh, he's transcendent?"

None of you know that this mathematician is long gone.

"No, but his ability, even if it is supernatural, is not an exaggeration - he can 'see' shapes in high-dimensional space. The dean explained, "Attention! He doesn't imagine what a high-dimensional space looks like, but 'sees' it with his eyes!"

As three-dimensional creatures, the vast majority of human beings can't even imagine a high-dimensional space, but this person can actually "see" ...... If you think about it, it's no wonder that you will become a generation of mathematicians.

If even high-dimensional space can be directly "seen", then if it is a mathematical problem drawn on paper such as solid geometry, no matter how complicated and cumbersome it is, people will be able to find the solution immediately at a glance, right?

The example given by the head of the academy made them clearly understand that the same math problem is absolutely different in the eyes of ordinary people and in the eyes of a very small number of math geniuses.

It is not as practical as Hilbert, Jiang Chanji seems to have heard a certain mathematician say that he saw a mathematical formula like seeing a string of jumping notes, concise and beautiful, while ordinary people may immediately have a headache when they see a mathematical formula.

"I use Hilbert as an example to give you a better understanding of the Chief's abilities. "Similar to Hilbert, the world in the Chief's eyes is different from the world in the eyes of ordinary people, and it is difficult for ordinary people to imagine what the world is like in the Chief's eyes. ”

After a pause, the head of the academy looked serious, "I want to state first, what I am going to talk about next is my speculation, not necessarily the truth, the truth of the facts, maybe only the chief himself knows...... No, maybe even she doesn't know about herself. ”

Everyone was a little confused, how could it be that even the chief himself didn't know?

Jiang Chanji suddenly thought, could it be that the chief is also like the head of the courtyard, who has some kind of spiritual or psychological ...... Abnormal?

"So people who have dealt with the chief will feel that the chief's behavior is a little ...... Strange, but that was a few years ago, and I don't know if the chief has changed now. The head of the academy continued, "Most people think that her 'weirdness' comes from the primitive culture she has been trained in, she is chattering, and in many ways she seems stupid, and people of her status can't speak English, so many people think that the witchcraft tribe is the weakest of the several transcendent organizations. ”

Jiang Chanji also felt the same, the chief seemed to be the only leader in several major organizations who was not good at force, and even Luisa, who was the chief priest, was not good at force, and it seemed ...... under the backdrop of other organizations It's very weak, and people tend to only respect the kind of hard power that can be seen.

"As the 15th says, every decision made by the chief is in hindsight so wise that it is as if he could predict the future. The head of the academy looked at him, "But I don't believe that anyone can predict the future, so I consulted many experts and scholars, and vaguely guessed the true ability of the chief. ”

"Have you ever heard of the word Apophenia? It's not that I deliberately said it in English, but there is no official Chinese translation of this word, which is a rare word that exists in psychology and programming, and if you want to translate it, it can be translated as 'excessive delusional delusion'?"

Everyone was confused when they heard it, and the word was very obscure whether it was English or Chinese, and they couldn't guess what it meant.

"In simple terms, it boils down to a ...... Spiritual paranoia. The head of the academy tapped his temple, "People with this tendency will obsessively look for patterns from irregularity - you may think it is funny when you hear this, it is obviously irregular, and you insist on finding patterns from it, isn't that a fool who does useless work?"

The words of the dean of the college reached everyone's hearts.

"However, this 'irregularity' is the definition of ordinary people, and it is the irregularity that ordinary people feel. The dean of the academy said in an accentuated tone, "So is the 'irregularity' defined by ordinary people really irregular?"

Such a simple sentence made Jiang Chanji's scalp tingle, and the roots of their hairs stood up.

Hundreds of years ago, ordinary people still thought that the sun revolved around the earth, and the cutting-edge truth was never in the hands of ordinary people.

"Note that people who suffer from excessive delusional delusions, they will persistently look for patterns from irregularity, but I don't say that they will definitely find patterns, in fact most of them are pure delusions, and delusions are delusions, but a very small number of them will have in some cases." 'Epiphany', really found the law, and these people who had the epiphany, no matter what kind of work they were engaged in, would become peerless geniuses in that field, and there was absolutely no one else in the field who could match it, because no one else had mastered the law - in a country full of blind people, the one-eyed dragon was the king. ”

The more Jiang Chanji listened, the more cold sweat broke out, and he asked tentatively, "Headmaster, what do you ......mean?"

"If I'm not mistaken, the chief suffered from excessive delusional delusions as a child, but she grew up in an environment where no one would take her to the doctor, and according to the memories of her neighbors and playmates when she was a child, she was considered to be a dull and stupid child because she was often in a daze with the air, and no one could imagine what a bizarre and magnificent world she saw in her eyes, and when she awakened her abilities, she might have seen the pattern of the 'world'. "In her eyes, we are just pawns on a chessboard, and she is one of the two opponents, and her opponent is called 'Goddess of Fate'." ”

The same math problem is different in the eyes of ordinary people and in the eyes of math masters like Hilbert, the same world is different in the eyes of ordinary people and in the eyes of chiefs, and ordinary people can't imagine what Hilbert sees math problems like, and they can't imagine what the world looks like as the chief.

"People divide the transcendent into Lv.1 to Lv.9, but in my opinion, there are only two classes of transcendentals, one is the ordinary level, and the other is the god level, and the god-level transcendent is only one and a half, and the head of the house is counted as half. ”

The meaning of the academy leader's words was obvious, the only god-level transcendent was the chief.

The other transcendents, strong or weak, are nothing more than rooks, horses, elephants, pawns, and no matter how great they are, they are at most kings and queens, and the chief is one of the two opponents sitting behind the chessboard.

The head of the academy said faintly: "This is a chess game based on years, both sides of the game must plan and then move, and there is no regret in moving the chess, and it may not be possible to move a chess piece in a year or a few years...... The chief is at a disadvantage in this game, not because she is weaker than the goddess of fate, but because she cannot treat each piece as a pure pawn like the goddess of fate, she knows that every pawn is a flesh and blood person, and to be eaten by the other party is to die forever, and there is no chance to start the game again. ”

Heaven and earth are unkind, and all things are used as dogs, which is probably what it means.

If there is love in the sky, a sentient chess player must be in a weak position in the face of a ruthless chess player, she can not give up her feelings for each chess piece, and the chess layout will be tied, but in the eyes of the ruthless chess player, in addition to the "king" can not be checkmated, in order to win, all other chess pieces can be used as discarded pieces and shields.

"Going back to Fu Su's original question, is the chief predicting the future? I prefer to think that she is trying to confront and rewrite the future, so that the future becomes what she wants it to be...... But no one knows what the future she hopes will look like, and no one knows if she will succeed, because her opponent is unimaginably powerful for human beings!"

Not only Jiang Chanji and the others were shocked to hear it, but even the squid whiskers seemed to be able to listen to it, because the squid whiskers had also fought against fate and then failed...... No, it can't be regarded as a failure, because although all their chess pieces have been eaten, the "king" has not yet been checkmated, and may even rely on cheating methods, taking advantage of the fact that the goddess of fate thought that she had won and didn't pay attention, she took out Jiang Chanji, a pawn like Jiang Chanji, and quietly made up for the corners of the chessboard, and theoretically there was still the possibility of turning the game or drawing chess.

Although it is just a pawn, it can only move forward step by step like a turtle, but if there is a day when it breaks into the bottom line of the opponent's position, the pawn can transform gorgeously and become almost any chess piece on the chessboard, even the unhindered "back", which is called "Soldier Promotion".

"Oh, by the way, this year the chief moved a chess piece. The dean smiled, "She sent Luisa, a 'vaulting horse' that can't fight head-on, but can save the country." ”

Stealing incense