Omnipotent Data

Chapter 368

Professor Fresnel waited for three or four seconds before forcing himself to show a senior smile.

He stroked his beard and stretched out his hand to signal, Please start your performance.

Cheng Nuo sorted out his thoughts in his mind, and after two or three seconds, he spoke word by word.

About the question of 'whether real numbers are all roots of algebraic equations', we must first clearly determine one point. All rational numbers q are roots of algebraic equations x-q=0. And, as long as anyone who has studied quadratic equations in one variable knows, Although all coefficients are restricted to rational numbers, the roots of algebraic equations are not necessarily rational numbers.

For example, the two roots of x2-2=0, √2 and -√2, are irrational numbers.

After a pause for a few seconds, Cheng Nuo cleared his throat and continued.

The real numbers include both algebraic and transcendental numbers. Rational numbers and √2 are examples of algebraic numbers; e and π are examples of transcendental numbers. Our problem uses this new terminology,  …

If this problem is figured out, it is actually very simple.

The key point is to introduce the concept of transcendental numbers, that is, numbers that cannot be represented by the roots of algebraic equations.

The most common ones are the two numbers π and e.

Cheng Nuo continued his performance, In 1874, the German mathematician Cantor proved that there are far more transcendental numbers than algebraic numbers. It is very simple and can be proved eloquently, not all real numbers are algebraic equations. root!

Cheng Nuo gave a negative answer.

After finishing speaking, he raised his head and looked at Professor Fresnel sitting on the office chair with a smile.

Professor Fresnel spent half a minute digesting what Cheng Nuo said.

Although Cheng Nuo's thinking was different from the way he thought of solving the problem, the road was the same. From Cheng Nuo's method, he couldn't find any flaws.

Half a minute later, he raised his head, met Cheng Nuo's gaze, grinned at the corner of his thin face, That's right, it's much better than I imagined.

Then now... Professor Fresnel stood up and stretched out his hand, Welcome to my team!

Cheng Nuo smiled and shook hands.

Today, you should familiarize yourself with the environment first.

Starting tomorrow! Fresnel said.

Cheng Nuo nodded, showing the attitude of an employee towards his boss, Yes.

Professor Fresnel signaled to the white boy Hull, Hull, take this Huaguo student out. Let's discuss which project to let him join tomorrow.

OK! Hull nodded, nodded to Cheng Nuo, and walked out of the office.

outside the office.

Hull turned his head and smiled at Cheng Nuo, and asked very familiarly, Are you nervous just now? Fortunately, you passed the teacher's test, otherwise, with his temper, it is really possible for you to sit on the bench until the end of your term.

Cheng Nuo smiled lightly, It's okay!

By the way. Cheng Nuo stretched out his hand, Please take care of me in the future.

Hull shook hands, Of course, we are a team after all!

He pointed to several empty desks in the room, Choose one, I guess you will make this place your second home for a long time to come!

Cheng Nuo chose a place by the window. On the window sill, there were several pots of succulents.

It was made by Xi Weier, we rough men don't know how to take care of this thing. Hull explained.

After Hull finished speaking, a tall girl with blond hair tied into a ponytail and blue eyes came over, Hull, I haven't settled with you for what happened last time. I just went out to communicate for a month. , Eight pots of potted plants were raised by you and four pots died, hum, lose money!

Isn't that why Henry mistook the drink for water? I don't want to take the blame! Hull smiled helplessly.

Xi Weier also saw Cheng Nuo, her beautiful eyes suddenly lit up.

Xi Weier gestured to Hull, Who is this handsome guy?

Even from Xi Weier's western aesthetic point of view, Cheng Nuo is a very handsome guy.

Hull introduced, Oh, this is Cheng from Huaguo, the teacher's new teaching assistant.

Hi handsome guy. Xi Weier blinked.

Uh, hello. Cheng Nuo smiled lightly.

Xi Weier fluttered her bright eyes and held her chin, You look so young, are all the men in Huaguo so small and fresh?

Cheng Nuo was all over the place, No, actually we Chinese men are still very manly! As for me, I'm only twenty years old this year, so, um.

Twenty-four-year-old Xi Weier was stunned.

Twenty years old?

Aren't you a doctoral student? Even Hull couldn't bear to ask this time.

Cheng Nuo shrugged, Let me re-introduce, my name is Cheng Nuo, and I am from Huaguo. I studied at Tsinghua University as an undergraduate, and I am currently planning to study at MIT.

So. Cheng Nuo looked at the two of them. Senior, senior sister, I will trouble you to take care of me, a junior, in school from now on!

…………

In the evening, He Youjun took Cheng Nuo to a luxurious dinner at a high-end western restaurant, in name of celebrating Cheng Nuo's success in joining Professor Fresnel.

From now on, with this title alone, Cheng Nuo will be able to walk sideways in the entire world's universities.

I really envy you, you have such a thigh before you even entered school! He Youjun inserted a piece of steak and said inarticulately while chewing.

Cheng Nuo didn't agree, I still don't know if I hugged a thigh or a time bomb?

With the attitude towards myself when I met Professor Fresnel for the first time today, I am afraid that the days to come will not be too comfortable.

Just relax, you have to believe in yourself. He Youjun encouraged Cheng Nuo, Your strength lies in it. It is not an exaggeration to say that you can crush the contemporary mathematicians. Besides, you are still young.

Wait for you to hold the Fields Medal in your left hand, the proof paper of Goldbach's conjecture in your right hand, and the $1 million bonus for proving Riemann's conjecture from the Clay Institute in your pocket. Let's see who will be there Dare to underestimate you?

Cheng Nuo thought about the life of a math tycoon described by He Youjun in his mind, and found that it was so cool!

So, roll up your sleeves and let's do it!

Oh, by the way, let me tell you something. He Youjun suddenly thought of something important.

Cheng Nuo looked up, What's the matter?

Next week there will be a party organized by our Huaguo students. At that time, most of the Huaguo students studying in Princeton will go back. Will you come?

I suggest that if you have time, you should go there. After all, you are all from Huaguo. If you get to know each other, there is nothing to lose.

Let me ponder. After Cheng Nuo finished speaking, he immediately replied, Go!

He Youjun trembled.

Big brother, your operation is a bit coquettish!

He nodded, Okay, let's go together then.

…………