Liu Sen sighed: "Classmate Yu, this is a test of my knowledge, sorry, I happened to see, the power of irrational numbers of irrational numbers may be equal to rational numbers, the earliest can be traced back to Hilbert's seventh problem, Aleksandr-Gelfond in 1934 and Theodor-Schneider in 1935 independently proved, this is almost a hundred years ago." ”

As soon as Yu Hanming heard him say this, he knew that he had gotten the knowledge point.

Brother, thank you for giving me a chance to pretend to be forced, it's really uncomfortable not to pretend for a day.

Liu Sen smiled and continued.

"The Gelfond-Schneider theorem, which assumes that α and β are both algebraic numbers, and if α is not equal to 0 and 1, and β is not a rational number, then the β power of the α must be a transcendent number. According to this theorem, we can immediately see that √2^√2 is really an irrational number, and the result is 1.6325269...... Not only that, but its square is also a transcendent number 2.6651441....... ”

"If you only say a theorem as a conclusion, and don't write the process, you will definitely think that I am playing a hooligan, and the most disdainful thing is to play a hooligan, to start: make aa = r, and the simplest fraction form is n / m...... Suppose that the simplest fraction form of a rational number r is c/b, then there is: (n / m) n / m = c / b or : nn · bm = mn · cm,mn is nn · The approximate number of BM. However, m and n are coprime ......"

Li Jie shook his head dejectedly, but unfortunately, this kid actually knew, and said, "Count Liu Sen as a solution." ”

Liu Sen said: "Actually, as long as you change √2 and log29 as the counterexample of irrational numbers, I am testing whether you can find the loopholes in my proof, yes, very good, Yu Hanming did not disappoint me, you other students want to review, why didn't you think about it? Especially Zhang Qian, you are on the same level as Yu Hanming, competing for second, obviously, you are a little worse than Yu Hanming, you have to work hard." ”

MMP, Yu Hanming looked depressed, why do I need you for sure?

Zhang Qian was even more depressed, I just wanted you to evaluate it today? Are you a green onion or a garlic?

Li Jiexin said, Sao Nian, on mathematics pretending, the old man has to obey you.

In this wave of force, 1,000 points of spiritual power were gained.

Liu Sen shook his head uncontrollably, sure enough, no creative force is not a good force, and it is not easy to tease the emotions of the top students.

Zhang Qian was very unhappy, and he couldn't come out of hibernation until he found the absolute pitfall.

Liu Sen was thinking with a little sadness, how can I make a group of school tyrants envious and jealous and hate me?

In the eyes of these guys, the curvature of the math problem is more charming than the curve of the girl.

It's not easy to find a beautiful girl to be stimulated.

It's useless to show off on external substances.

Liu Sen is not idle, the competition questions have been brushed, which is helpful to improve the soul power attributes, after completely digesting and absorbing to reach the second level of mathematics, and then look at these questions, there is no jerky sense of grievance, but the joy of problem-solving thinking.

Time flies.

Open the book, brush the questions, arrive at noon, eat, brush the questions, and come in the evening.

The white horse passes through the gap in general.

The students who challenged Liu Sen continued one after another.

"How many sets of non-negative integer solutions are there to find the equation x1 + x2 + x3 + x4 = 7?"

"It's too simple, design the model, the result is 120, don't let this student put water. ”

"It is known that there are six straight lines in space, and any three of them are not parallel, and any three are not intersected at one point and are not coplanar. ”

"How many times have I said that you have to learn to construct models. Liu Sen said very hotly, "There must be two straight lines of different planes in any three known straight lines, corresponding to two points connected by red line segments, otherwise connected by white line segments, so to establish a model, the problem is summarized as: know six points, any two of which are connected by red line segments or white line segments, any triangle with these points as vertices has one side is red, verify, there is a triangle, and all three sides of it are red......"

There are always people who come up with challenges.

Gradually.

Seeing the curvature of the corners of Li Jie's old fox's mouth, Liu Sen knew that he had fallen for the old guy's trick, and obviously delegated the task of training to him.

Friday afternoon.

In the toilet, as soon as Zhang Qian took off his pants, Yu Hanming flashed over and took off his pants as well.

The two looked at each other.

Tsk tsk.

Is this all better?

Fortunately, it is comparable, otherwise one side will be inferior.

"Hey, the two of us are fighting back and forth, but we have become the second in the fight. ”

Yu Hanming said.

The other two boys in the toilet gave them strange looks.

Zhang Qian said: "If you want the second child, give it to you, anyway, I won't fight for the second child." ”

"Do you want to be the first? The time is almost up, why don't you do it?"

"When he is most proud, when his mind is most relaxed, he goes straight to the point. ”

"Then I'll wait to see the play. ”

The two have a tacit understanding one after the other, and they don't walk together.

Liu Sen was lying on the table bored, there was no spiritual power in the account for several days, the egg hurt, in order to prepare for the upcoming magical academic, the soul power has also reached, physics level I, biology level I, chemistry level I, you must first buy a power control array, level I, 8800 spiritual power, and the remaining spiritual power is 15100.

The brilliance in the soul array flickered, in addition to capturing the array diagram there is another inscription, the control force accuracy is 0.2, the control inertia coefficient is 0.2, compared to the accuracy, the inertia coefficient is more important, for example, you violently punch a punch 300.2N of power, the direction is forward, and the next moment to the left 45 degrees to the left of the 287.2N power, then the shortest interval between the two is the inertia coefficient characterization.

Lighting up the force control array, there is a faint control connection with the cells in the muscles, and even the weak activity of the mitochondria in the cells can be felt.

All kinds of movements of the human body are realized by the contraction and relaxation of muscles to drive the movement of bones and joints under the regulation of the nervous system.

There are 639 muscles in the body, which are made up of 6 billion cylindrical muscle fibers.

The surface of each muscle is surrounded by connective tissue called the muscle capsule.

The first level of the power control array fully opens 639 muscles, but the muscle fibers that control the muscles can only open about one percent.

It's a good feeling.

Liu Sen subconsciously controlled the prostate muscle group, and the chicken popped out in a flash, wrapped in his pants, and almost exclaimed, the real man gritted his teeth and endured the bitterness, Nima, the feeling that every muscle can be controlled is really peculiar, where to try the muscles again?

After trying it for a while, I shouted that the 8800 spiritual power was worth it.

The flesh hurts, too.

Liu Sen stood up and said: "Students, the time for me to fight is almost up, can't you fight a little bit? Can't you find a question that stumps me? Are you indifferent to watching me go out happy? I went out with beautiful women." ”

Nima!

Jump like a grasshopper after autumn.

There is no demeanor of a scholar.

Grass, don't you know that invisible pretending is the most deadly?

Hey, no matter how he was complained about by his classmates, anyway, seeing that 900 spiritual power was nervous, Liu Sen was full of smiles.

Zhang Qian really couldn't bear it, he kept waiting for the opportunity, but he was so angry that he stood up and walked to the blackboard and wrote down the topic very hard.

said: "Prove: the ratio of the radius of the inscribed circle to the radius of the circumscribed circle of any triangle does not exceed 1/2. ”