Chapter 368

Professor Fresnel slowed for three or four seconds before he forced himself to smile like a "senior".

He stroked his beard and reached out to motion, "Please start your performance." ”

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

"On the question of whether all real numbers are the roots of algebraic equations, we must first make a clear point. All rational numbers q are the roots of the algebraic equation x - q = 0. Moreover, anyone who has studied unary quadratic equations knows that although all coefficients are limited to rational numbers, the root of algebraic equations is not necessarily rational. ”

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.

"Real numbers contain both algebraic and transcendental numbers. Rational numbers and √2 are examples of algebraic numbers; e and π are examples of transcendent numbers. Our question is ,...... by this new term"

If you figure this out, it's actually quite simple.

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

The most common are the 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. Quite simply, it can be proved eloquently that not all real numbers are the root of algebraic equations!"

Cheng Nuo gave a negative answer.

After speaking, he tilted his head and smiled at Professor Fresnel who was sitting in his office chair.

Professor Fresnel took half a minute to digest what Cheng Nuo had said.

Although Cheng Nuo's thinking is not the same as the problem-solving idea he thought of, he can't find any flaws in Cheng Nuo's method.

Half a minute later, he raised his head and met Cheng Nuo's gaze, the corners of his mouth on his thin face were grinning, "Yes, it's much better than I imagined." ”

"So now......" Professor Fresnel stood up and held out his hand, "welcome to my team!"

Cheng Nuo smiled and shook hands.

"You should familiarize yourself with the environment today, and start your job tomorrow!" Fresnel began.

Cheng Nuo nodded, with the attitude of an employee towards the boss, "Yes." ”

Professor Fresnel motioned to Hull, a white boy, "Hull, take this Chinese student out." We'll talk back tomorrow about which project to get him into. ”

"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, "You were very nervous just now, right? Fortunately, you passed the teacher's test, otherwise with his temper, it is really possible for you to sit on the bench and wait until the end of your tenure." ”

Cheng Nuo smiled easily, "It's okay!"

"That's right. Cheng Nuo stretched out his hand, "Please take care of me in the future." ”

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

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

Cheng Nuo chose a position by the window, and at the position of the windowsill, there were several pots of succulent potted plants.

"This is what Sivele did, we rough men, don't take care of this thing. Hull explained.

After Hull finished speaking, a tall girl with blond hair tied into a ponytail at the back of her head and turquoise eyes walked over, "Hull, I haven't settled accounts with you about the last time." I just went out to communicate for a month, and four of the eight potted plants were raised by a few of you, hum, lose money!"

"Isn't that why that guy Henry mistook the drink for water, I don't carry this pot!" Hull smiled helplessly.

Severe also saw Cheng Nuo, and her beautiful eyes lit up.

Sylvier gestured to Hull with her eyes, "Who is this handsome guy?"

Even from the perspective of Sylvier's Western aesthetics, Cheng Nuo is also a very handsome guy.

Hull introduced, "Oh, this is Cheng from Huaguo, a newly recruited teaching assistant. ”

"Hello handsome guy. Severle blinked.

"Uh, hello. Cheng Nuo smiled lightly.

Sylvester flashed her sparkling eyes and held her cheeks, "You look so young, are all the men in Huaguo so small and fresh?"

Cheng Nuo was full of color, "No, in fact, we Chinese men are still very manly! And I, I'm only twenty years old this year, so, um." ”

Twenty-four-year-old Severie was stunned.

Twenty years old?

"You're not a PhD student?" asked Hull this time.

Cheng Nuo shrugged, "Let me re-introduce, my name is Cheng Nuo, and I'm from Huaguo." He studied at Tsinghua University as an undergraduate and is currently preparing to study at the Massachusetts Institute of Technology. ”

"So. Cheng Nuo looked at the two. "Senior, senior, in the future in school, I will trouble you to take care of my junior brother!"

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

In the evening, He Youjun took Cheng Nuo to a luxurious dinner in a high-end Western restaurant, in the name of celebrating Cheng Nuo's successful entry into Professor Fresnel.

In the future, just with this title, Cheng Nuo will be enough to walk sideways in the entire world's universities.

"I really envy you, before you entered the school, you hugged such a thigh!" He Youjun inserted a steak and said inarticulate while chewing.

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

With the attitude of Professor Fresnel towards himself when I met him for the first time today, I am afraid that the future days will not be too comfortable.

"Just relax, you have to believe in yourself. He Youjun cheered Cheng Nuo up, "Your strength is there, it is not an exaggeration to say that it crushes the contemporary mathematical genius." Besides, you're still young. ”

"Wait until you have the Fields Trophy trophy in your left hand, the proof paper of Goldbach's conjecture in your right hand, and the $1 million prize awarded by the Clay Institute to prove the Riemann conjecture in your pocket. Let's see who else would dare to look down on you?"

Cheng Nuo imagined in his mind the life of the math boss depicted by He Youjun, and found that it was really cool!

So, roll up your sleeves and do your best!

"Well, by the way, let me tell you one thing. He Youjun suddenly seemed to remember something important.

Cheng Nuo looked up, "What's the matter?"

"Next week there will be a party organized by our Chinese students. When the time comes, most of the Chinese students studying at Princeton will go back, will you come?"

"I suggest that if you have time, you should go for a while, after all, they are all Chinese, get to know each other, in short, there is no loss. ”

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

He Youjun's fork trembled.

Big brother, your operation is a bit sassy!

He nodded, "Okay, we'll go together then." ”

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