Future library

From ancient times to the present, there are thousands of geniuses studying Euclidean geometry, and there are countless successful ones among them. If we look at the qualifications for modern professor selection, the number of owners of these achievements can meet the needs of the entire Chinese academic community.

However, among the results derived from Euclidean geometry, the most famous are two outstanding people who went in the opposite direction, Lobachevsky and Riemann, who established the "non-Euclidean geometry" building.

The word "curvature" that often appears in science fiction novels actually comes from Riemannian geometry. In fact, the tools used by Einstein to describe curved space were also Riemannian geometry, but the source of their ideas is simple. Unbelievable.

It was people's continuous doubts about the fifth postulate of Euclidean geometry that gave birth to non-Euclidean geometry.

In order to prove the parallel theorem by contradiction, it is necessary to deny the fifth theorem of Euclidean geometry in the problem and try to prove that it is wrong. To many people's embarrassment, when the problem starts to work, we get Published a lot of new theorems, but could not go back to the problem and prove that the parallel theorem is correct, so a group of people who believe in Euclidean geometry went further and further on the anti-Euclidean road...

However, non-Euclidean geometry was a thing of the 19th century. Cheng Jinzhou did not believe that a small first-class star warlock could solve a 19th-century problem on the basis of 17th-century knowledge.

Xiang Xin waited quietly beside him. Seeing that Cheng Jinzhou didn't say anything, he took out the draft paper he carried with him and spread out the pages page by page. All of them were used to prove the parallel theorem by contradiction.

It was useless to think too much. Cheng Jinzhou took a breath and leaned over to take a look.

The star warlock, who was wearing gray and black robes, looked a little uneasy.

To those who don't know, this may seem like a strange thing. The arrogant star warlock shows his lack of confidence in front of an ordinary person. This kind of thing often only appears in romance novels...

While Cheng Jinzhou was watching, he was occasionally calculating with a quill next to him. If he were another doctor who was researching, he would already be familiar with the answers to the classic proofs from 300 years ago. He would not be able to do it anyway. , now I have to do it myself.

Fortunately, what he was looking at was only elementary geometry and very little advanced geometry knowledge, so Cheng Jinzhou was not at a loss to start.

The scratch paper is about 50 pages thick. Xiang Xin has far more knowledge than she had in Euclid's time. Standing on the edge of modern mathematics, she is able to look at problems from a more advanced perspective. At the beginning of the disproof, she uses various inferences very well. , while reading the first 20 pages, Cheng Jinzhou's uneasiness increased with time.

However, he soon felt relieved.

Because Xiang Xin began to use guessing sentences to make descriptive statements.

She has never been exposed to calculus. She just uses the concept of limits from hundreds of years ago, and she will not succeed even if she is exhausted.

Cheng Jinzhang breathed a long sigh of relief - God be damned, damn history will not change just because of a butterfly's show off. Without the world's leading scientific ideas, no matter how many books he has, he can't fight for them. A star warlock with extraordinary intelligence.

Xiang Xin had some misunderstandings. Seeing Cheng Jinzhou raise his head at the place where he was most worried, his whole face turned red with embarrassment, and he said in a confused tone: "The back part should have been removed, but I want you to give me some guidance..."

Although Xiang Xin has asked Cheng Jinzhou for advice these days, he has never said words such as "asking for advice" or "guidance". As a genuine star warlock, she has a much higher status than "lovers" like Wu Zong. While enjoying the authority and benefits of the star warlock, she also has unshirkable responsibilities, including maintaining the star warlock. image and dignity.

Being willing to lower his head and say the word "guidance" at least shows Xiang Xin's ability to recognize Cheng Jinzhou. If not for personal experience, Xiang Xin himself would not believe that there is a 13-year-old boy who has more mathematical knowledge than a first-level star warlock.

But when she lowered her head, she felt much more relaxed.

Cheng Jinzhou didn't understand the twists and turns, so he hesitated and said, "The angle you chose is not wrong, but you chose the wrong target."

"Target? You mean the parallel line that I should first assume..." Xiang Xin said the specific content at once.

Cheng Jinzhou shook his immature face and shrugged: "With your current knowledge base, you won't get the answer you want. You should try simpler questions first."

Xiang Xin's face suddenly turned red, and he stood up suddenly. After standing there for a moment, he said, "Are you saying that I'm not qualified to answer this question?"

If he were a native of the Great Xia Dynasty and was questioned like this by a star warlock, he would have collapsed a long time ago. Cheng Jinzhou just frowned and said: "There are many problems that you are not qualified to solve. Your attitude at the moment means that you are not qualified to solve such problems in this life."

"I..." Xiang Xin also understood and knew that she had lost her temper. However, she wanted to apologize to Cheng Jinzhou, but she couldn't lose face. After a short stalemate, she simply rushed out of the door.

Cheng Jinzhou shrugged and put a big stone on his chest.

If he continues to teach, this Xin may really touch the edge, and then it will be much more troublesome. This star warlock, who resembles a little nun, is actually one of the most outstanding geniuses Cheng Jinzhou has ever seen. He only spent more than a month studying, and then almost independently came to the conclusion that this level cannot be placed in any school in the 21st century. Colleges and universities are all very good, but Cheng Jinzhou would rather believe that Xiang Xin lives in an era of scholars.

In fact, in the 17th and 18th centuries in the history of the earth, it was precisely because of the rapid and alternate development of modern science that so many super geniuses were born. Only those years in the early 20th century can compare with the composition of geniuses.

A gust of wind blew the half-opened window and blew several drafts on the table to the ground. What was exposed on the outside was a series of extreme continuous calculations.

Cheng Jinzhou stared at the handwriting representing the embryonic body of calculus for a moment, then pushed the door open, strode out of the courtyard, and took a deep breath.

There was a smell of giants in the air.

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