2021-09-06

Chapter 6 Thesis (2)

There is only one week before the start of the semester, and the teachers of Meng City No. 1 Middle School have already begun to prepare for the new semester Get ready.

Zhang teacher, the head teacher of Class 1 and 3, is sorting out the final grades of the last semester in the office.

Song Yiyang: Math 81, Chinese 75, English 90, Zhang Meng: Math 90, Chinese 85, English 86 Chen Shuxian: Math 95, Chinese 92, English 96 Chen Shuxian is the best student in the class. During the home visit, Chen Shuxian’s parents planned to let her study abroad, so she would not be able to take the college entrance examination. Zhang teacher is a pity.

Yang Hui: Math 75, Chinese 80, English 85 Li Mo: Math 70, Chinese 75, English 73

Calculating the grades of the students, Zhang teacher is a little worried. The grades of the students are much worse than those of the high one after another class and the high one and two classes. He knew the reason. When the high school started credit classes, the school assigned many good seedlings to the high one after another class.

This is something Zhang teacher knew when he started to take over the first and third classes of senior high school, and it was also a big hole dug for him by the dean of the school.

He knew it was a big pit or jumped without the slightest hesitation, because in his opinion, teacher is education for everyone, irrespective of background. Good students should be educated well, and poor students should be educated more carefully.

The reality taught him a hard lesson, and then the school announced that the head teacher of the class with the best scores in the college entrance examination every year will reward a house of 120 square meters.

How much he wants a house, he still lives with his father-in-law and his mother-in-law’s family. Although the two old people were very kind to him, he had long wanted a house of his own. His wife also muttered in his ear many times, but looking at the house price of more than 10,000 yuan outside, he knew that he couldn’t even pay the down payment.

After calming down for a while, teacher Zhang started to prepare for the school start. He remembered Li Mo’s prank call. It seemed that he was going to visit Li Mo’s house before school started. There is also Chen Shuxian’s house, who is the best student after all.

“Hey, look at the transcript, the grades of your class are 10 points lower than the average of our class. The house two years later will be mine.”

” The dean is my cousin!”

“Old Zhang, don’t bother thinking about the house, save some brain cells, and live two more years!”

It is Luo Peifen, the head teacher of Gao one after another class, a 50-year-old woman who wears makeup and powder. Her big brother is the dean of the school.

Zhang teacher ignored her, just walked out with the student’s information, and he also took it home to study how to help the students improve.

Woke up, refreshed. Although the Koraz conjecture has been proved, the paper has not yet been sorted out. Li Mo didn’t even have time to eat breakfast and started writing his thesis.

Title: “For each positive integer, if it is odd, multiply it by 3 and add 1, if it is even, divide it by 2, and so on, and finally get 1.” The establishment of the conclusion.

Abstract: This paper realizes the proof of the thesis through double inverse induction method

Text:

n is an even number, n/2 is an even number, …, Always divide 2 to 1; n is even, n/2 is even, until n divided by 2 to the X power, which is odd. We denote n divided by 2 to the power of X as n, which can be equivalent to n being an odd number. (When it is even, the number must be decreasing)

. . . . . . . . . . .

n is odd, n×2+n×1+1 2n+n+1, this must be even, (2n+n+1)/2 n+(n+1)/2, here There are two other cases, it is an even number, it is an odd number; if it is an even number, the cycle ① (the number keeps decreasing when it is an even number), until n+(n+1)/2 is an odd number.

Because: n is odd, and only if (n+1)/2 is even 1 n+(n+1)/2 can be odd.

n is odd, n+(n+1)/2 is odd, continue below:

n+(n+1)/2 is odd, ×2+×1+1 2n+n+1+n+(n+1)/2+1, if it is an even number, divide by 2 2n+1+(n+1)/4

Continue two cases, if it is an even number, it is Odd number, if it is even number, cycle ①, ②, (the number decreases when it is even number anyway)

, until 2n+1+(n+1)/4 is an odd number. Transform to n+(n+1)+(n+1)/4

because: n is odd, n+1 is even, there is only one (n+1)/4 that is even, n +n+1+(n+1)/4 can be odd.

. . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . .

n+2(n+1)+(n+1)/4+(n+1)/8 is odd, ×2+×1+1

10n+ 8+(n+1)/8, is even, divided by 2 5n+4+(n+1)/16

2n+4(n+1)+(n+1)/2 +(n+1)/4+n+2(n+1)+(n+1)/4+(n+1)/8+1

n+4(n+1) +(n+1)/16

Infinite loop until (n+1)/2 gets x power=1

The proof is complete.

From this, it can be determined that for each positive integer, if it is odd, multiply it by 3 and add 1, if it is even, divide it by 2, and so on, and finally get 1. This conjecture is absolutely correct.

Author: Li Mo Meng City 1st High, 1st and 3rd Class

The primary level study paper writing function in my head is really easy to use, Li Mo is almost in one go. Check it again and make sure there is nothing wrong.

He took out the piggy bank he had hidden under the bed, counted it carefully, there was 205.6 yuan left, he took out 20 yuan, and 185.6 yuan, ready to print and mail the paper.

The money in the piggy bank is what he usually saves from the few meals. I was going to buy a new basketball.

His annual New Year’s money was confiscated by Li Mo mother in the name of keeping. The New Year’s money was sent to the children who were pro-Qi Family, so Li Mo didn’t complain too much.

There was a knock on the door, Li Mo opened the door, and Li Mo mother was outside with a fruit bowl.

“Son, you are tired from studying. Eat some fruit.”

Li Mo took a step back, he was frightened by the super treatment.

“Mom, come in and sit.” Li Mo moved the only chair in the room.

“Mom doesn’t sit, just to see that you have been studying in the past few days? Did you get any stimulation?”

“Study is more important, and your body is more important, or you should rest Let’s play ball in the afternoon?” Li Mo mother asked softly.

Li Mo didn’t know whether to cry or laugh. It was the mother who “forced” him to study with sticks all day long. Now it is the mother who persuaded him to go out to play.

“It’s okay, mother, I’m in great shape. I want to review all the books before school starts.” Li Mo doesn’t have much time to go out now, he read two more books today, I got 20 points. Every time I see the points credited, Li Mo feels like playing a game.

It feels so good!

The two cans of coffee from lottery have been used up by Li Mo, and the rest of the can is to be kept. He found that it was a Divine Item.

Li Mo finished two more history books before dinner. 20 points were earned.

Li Mo father came back a little early today, and it was rare for the family to sit together for dinner.

“I heard from your mother that you have been studying in the past few days?” Li Mo father asked after hesitating for a long time.

“Well, I’m going to review it before school starts.” Li Mo made an excuse.

“Today, the manager of the factory, Old Chen, who used to live next door, gave me a ticket to the city planetarium. He wants you to take her daughter to visit tomorrow.” Li Mo father He hesitated to say.

“Since you still want to read, then I’ll call you to quit.”

Me? Chen Shuxian? City Planetarium? Li Mo is a little confused.

“cough cough. No refusal!” Li Mo mother heard Old Li’s words and hurriedly stopped her despite being almost choked on the porridge.

“Think about who Old Chen is, your immediate boss, I heard from Chen Shuxian’s mother that Old Chen is going to be promoted again. Who has been in the workshop all his life like you, offended him. Do you eat good fruit?”

“Chen Shuxian is so good at studying, it’s a good thing to learn from others together.”

“Besides, the tickets for the city planetarium More than a hundred?”

“How can such a good thing not go.”

Li Mo mother swallowed the porridge and said like a machine gun.

Old Li looked at Li Mo. Want to know his decision.

“Okay, I’ll pick her up at Chen Shuxian’s house early tomorrow morning.” Li Mo took the tickets.

I don’t realize that spring is deep before reading, an interval of time is worth an ounce of gold. It’s not the Taoist people who come to laugh, Zhou Qing Kong Si is looking for it.

Without the bonus of extraterrestrial coffee, Li Mo felt very tired after reading for two hours after dinner. Lying in bed, looking at the picture of Kobe on the wall, he knew he was getting further and further away from the NBA.

(End of this chapter)

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