Omnipotent Data

Chapter 294

You boy, you will tear down my platform as soon as you come back!

Old Tang looked at Cheng Nuo, who had obviously grown up a lot standing beside him, and couldn't help laughing and cursing.

Cheng Nuo chuckled, Teacher, I'm not doing this for my juniors, okay?

Old Tang pushed to the side of the podium and left the stage to Cheng Nuo. He signaled to Cheng Nuo, Start your performance.

Under the watchful eyes of more than thirty juniors, Cheng Nuo took out a piece of chalk and spoke loudly.

There is nothing wrong with the proof steps of this question that Mr. Tang told you just now. So I didn't come up here to find fault.

It's just that you must have seen that the proof process of this question is too complicated.

Cheng Nuo used a large circle to cover the entire blackboard. Then write a proposition in the corner.

[As long as the initial six numbers are not even, odd, odd, even, odd, odd, and not all even numbers, then it will be possible to make all the numbers equal to zero through a limited number of operations. 】

Cheng Nuo tapped the blackboard heavily with his fingers.

It can be clearly seen that the formulas on the blackboard and the classified discussions are all to prove this conjecture. If you are okay in normal training and have enough time, you have enough time to calculate slowly step by step. But in the competition In the process, time is a matter of minutes and seconds, so such a complicated problem-solving process is not suitable.

Senior, do you mean that you have an easier proof process? The short boy sitting in the first row, Chen Gong, raised his hand to ask the question.

Chen Gong was sitting upright in his seat at this time, looking up at Cheng Nuo who was very confident and eloquent on the podium, with a slight dissatisfaction in his eyes.

Facing this junior's questioning, Cheng Nuo just smiled and nodded lightly, That's right, when I was listening to Teacher Tang's lecture on this topic just now, I did think of a simpler way to prove it.

Chen Gong raised his hand again, Senior, the problem-solving method you use isn't something you only learned in college, right?

Cheng Nuo shook his head, No. To solve such a difficult problem, the knowledge learned in high school is enough.

Cheng Nuo turned sideways, wiped off half of the blackboard, and wrote three large characters on it.

Induction!

Induction, a very basic mathematical proof method in high school, is usually used to prove that a given proposition holds within the entire (or partial) range of natural numbers. It is divided into the first mathematical induction method, the second mathematical induction method, the backward induction method, and the spiral induction method.

Seeing these three words on the blackboard, Chen Gong's eyes lit up, and he seemed to understand something, but his thoughts were still blurred.

As for the other people in the classroom, they still had confused expressions on their faces. Isn't it the issue of parity? Why is it involved in the induction method again?

While writing, Cheng Nuo explained his thoughts.

...The steps in the previous part remain unchanged, and the special value of 2 is obtained. Later, we start to use the induction method to prove this proposition. Use the spiral induction method in the induction method.

Induction to n, when n=1 is obvious... Next, set the given number a1≤a2≤...≤am, and let si=a1+a2+...+ai.

...In summary, satisfying the condition n is 2 and all positive odd numbers.

Certificate completed.

The answers given are exactly the same as the standard answers.

What's more, Cheng Nuo's proof step only used half a blackboard and a dozen lines of formulas. It is very different from the previous proof formula full of two blackboards.

So scary, really scary!

Clap clap!

Old Tang, who was standing on the side of the podium, raised his hands, applauded lightly, and looked at Cheng Nuo who was beside him with approval and satisfaction.

Although he was torn down by Cheng Nuo today, Old Tang wasn't angry at all.

No matter how awesome Cheng Nuo was, he was still his student! Being able to get such a student out of his hands is enough for him to brag about for a lifetime.

Clap clap!

The other students in the classroom also applauded. Some really admired Cheng Nuo's unique problem-solving ideas.

Like Chen Gong. And some are just plain ignorant.

All of a sudden, the crackling sound in the whole classroom was endless.

…………

In the corridor, Cheng Nuo was leaning on the railing to catch up with Comrade Tang. Then he saw a short boy walking towards Cheng Nuo with some hesitation.

Cheng Nuo knew him, that is, Chen Gong, who was sitting in the first row during the competition training just now.

I saw Chen Gong walked up to Cheng Nuo hesitantly, raised his head, a little embarrassed, hesitated for a long time, and then said shyly, Senior, can I add your WeChat?

Cheng Nuo:? ? ?

I... I rub it!

For a moment, Cheng Nuo felt a cool air rising from the chrysanthemum along the tailbone to his brain.

One sentence of mmp is enough to express Cheng Nuo's current mood.

why? Why is it that the girls who are asked for WeChat are all beautiful girls, but now I have become shy girls?

Cheng Nuo subconsciously leaned towards Old Tang, You...what do you want to do?

Chen Gong's face was flushed, and he summoned up all his courage and said, Senior, I want to be your man!

Uh, no, wrong, wrong, to become someone like you.

False alarm... a false alarm!

Just now, Cheng Nuo was so frightened that he almost jumped off the fifth floor. So fucking exciting.

Chen Gong explained the reason for asking for Cheng Nuo's WeChat, Senior, I think I have questions about mathematics, and I can ask you anytime.

It's okay, just ask for advice, just ask for advice. You are my apprentice, and I will teach you everything I can. It doesn't matter if you ask questions, as long as you don't become my person, everything is ok.

After getting Cheng Nuo's WeChat ID, Chen Gong left happily.

Next, Cheng Nuo and Old Tang walked around the campus for a while. Originally, Cheng Nuo wanted to invite Old Tang to have dinner with him, but Old Tang still had a few evening self-study sessions to watch, so he had to wait another day.

Your lecture will be given at school the day after tomorrow. When you go back, you must prepare well and give a class to those little guys in the third year of high school. Try to make our No. 2 Middle School the number one student in the college entrance examination.

Cheng Nuo smiled wryly and nodded yes. It seems that no school has ever achieved this in history.

After saying goodbye to Old Tang, Cheng Nuo found a small restaurant to make do with dinner, and then took a taxi home.

As soon as he returned to the bedroom, Cheng Nuo's mobile phone notified that he had received a new message. I thought it was Mu Leng who sent me another test question like taking medicine, but I didn't expect to open WeChat and saw that the message was not from Mu Leng, a beautiful girlfriend, but from Chen Gong, a shy junior whom I just met today.

Chen Gong: Hey, is the senior here?

Chen Gong: Can you help me look at this question.

Attached is a picture taken with a mobile phone.

[Suppose f(x)=5x+2=f1(x), fn+1(x)=f[fn(x)]. Proof: For any positive integer n, there is a positive integer m such that 2011|fn(m )】

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