Omnipotent Data

Chapter 294

"You kid, you will demolish my stage as soon as you come back!"

Old Don looked at Cheng Nuo, who had obviously grown a lot while standing next to him, and couldn't help laughing and cursing.

Cheng Nuo smiled, "Teacher, I am not for the sake of the younger brothers and sisters, okay?"

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

Under the gaze of more than thirty students, Cheng Nuo took out a piece of chalk and said loudly.

"There is nothing wrong with the proof steps that Teacher Tang told you just now. So I didn't come up to find fault."

"It's just that you must have seen it. The proof process for this topic is too complicated."

Cheng Nuo put the entire blackboard formula in a big circle. Then write a proposition in the corner.

[As long as the initial six numbers are not even, odd, odd, even, odd, odd, nor all even numbers, then all numbers can be made equal to zero through a finite number of operations. 】

Cheng Nuo tapped his finger **** the blackboard.

"It can be clearly seen that the formulas on the blackboard and the classification discussion are all proving this conjecture. If you are okay in normal training and have plenty of time, you have enough time to calculate step by step. But in competitions In, time is a race for many seconds, so such a complicated problem-solving process is not suitable."

"The senior, you mean, do you have a simpler certification process?" The short man sitting in the first row, Chen Gong, raised his hand to ask.

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

Facing the student's question, Cheng Nuo just smiled and nodded slightly, "Yes, when I listened to Teacher Tang on this topic just now, I did think of a simpler method of proof. "

Chen Gong raised his hand again, "Senior, the problem-solving method you use is not something you only learned in college, right?"

Cheng Nuo shook his head, "No. To solve this kind of 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 is true within the entire (or partial) range of natural numbers. Divided into the first mathematical induction, the second mathematical induction, backward induction, and spiral induction.

Seeing the 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 others in the classroom, they still looked confused. Aren’t we discussing the issue of parity? Why did it involve induction again?

Cheng Nuo talked about his thoughts while writing.

"...The steps in the previous part remain the same, and the special value of 2 is obtained. Later, we begin to prove this proposition by induction. Choose the spiral induction in induction."

"To summarize n, when n=1, it is obvious...Next, set the given number a1≤a2≤...≤am, and set si=a1+a2+...+ai."

"...To sum up, n that satisfies the condition is 2 and all positive odd numbers."

The certificate is complete.

The answer given is exactly the same as the standard answer.

What's more terrifying is that 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 that was full of two blackboards.

Terrible, really terrifying!

Happiness!

Standing on the side of the podium, Old Tang raised his hands, applauded lightly, and looked at Cheng Nuo with approval and satisfaction.

Although Cheng Nuo was demolished today, Old Tang was not angry at all.

No matter how awesome Cheng Nuo is, he is still his own student! It is enough for him to brag about such a student from his hands.

Happiness!

Other students in the classroom also applauded. Some really admire Cheng Nuo's unique problem-solving ideas, such as Chen Gong. And some are purely unclear.

Suddenly, the sound of popping in the entire classroom was endless.

…………

In the corridor, Cheng Nuo is leaning on the railing and recounting the past with Comrade Tang. I saw a boy who was not tall, walking in the direction of Cheng Nuo with some hesitation.

Cheng Nuo knew him, he was the classmate Chen Gong who was sitting in the first row during the competition training.

I saw classmate Chen Gong hesitatingly walked to Cheng Nuo, raised his head, a little embarrassed, and hesitated for a long time before he said shyly, "Senior, can I add your WeChat?"

Cheng Nuo:? ? ?

I... I wipe!

For an instant, Cheng Nuo felt a cold breath rising from the chrysanthemum along the tail bone to his brain.

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

Why? Why are all the beautiful school girls who are looking for WeChat and become shy school girls?

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

Chen Gong's face flushed red, and he summoned the courage of his whole body and said, "Senior, I want to be your person!"

"Uh, wrong, wrong, wrong, to be someone like you."

False alarm... a false alarm!

Just now ~www.NovelMTL.com~ Cheng Nuo was so scared that he almost jumped directly from the fifth floor. It's so exciting.

Student Chen Gong explained the reason for asking for Cheng Nuo's WeChat, "Senior, I think I have any questions about mathematics, so I can ask you at any time."

"It's okay, just ask for advice, just ask for advice. You are my pro-school brother, I must give it my all." It doesn't matter if you ask questions or anything, as long as you are not someone who becomes me, everything is ok.

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

Next, Cheng Nuo and Old Tang strolled around the campus for a while. Originally, Cheng Nuo wanted to invite Tang to dinner, but Tang still had a few nights to study and stared at, so he could only change the day.

"The day after tomorrow, the school will have your lecture. After you go back, you must prepare well and give a class to the little guys in the third year. Try to get our second high school to win the college entrance examination."

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

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 phone prompts to receive a new message. I thought it was Mu Leng who sent himself a test question similar to taking medicine, but I didn't expect to open WeChat and see that it was not Mu Leng's beautiful girlfriend who sent the message, but the shy school brother Chen Gong just met today.

Chen Gong: "Hey, are you here?"

Chen Gong: "Can you help me see this question."

The following is a title photographed with a mobile phone.

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

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