Chapter 365 (1/2)
Chapter 368
Professor Fresnel delayed for three or four seconds before he forced himself to show a ”senior” smile.
He stroked his beard and reached for a sign, ”please start your show.”
Cheng Nuo arranges some thoughts in his mind, and after two or three seconds, he opens his mouth word by word.
”On the question of whether all real numbers are roots of algebraic equations”, we should first make a definite point. All rational numbers Q are roots of the algebraic equation X-Q = 0. Moreover, as long as anyone who has studied quadratic equation of one variable knows that although all coefficients are restricted 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.”
Pause a few seconds, Cheng Nuo clear throat, continue to say.
”Real numbers contain 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 term,... ”
If this problem is figured out, it is actually very simple.
The key point is to introduce the concept of transcendental number, which can not be represented by the roots of algebraic equations.
The most common numbers are π and E.
Cheng Nuo continued his performance. ”In 1874, the German mathematician Cantor proved that transcendental numbers are much more than algebraic numbers. It's easy to prove that not all real numbers are roots of algebraic equations
Cheng Nuo gives a negative answer.
After that, he raised his head and looked at Professor Fresnel in his office chair with a smile.
It took Professor Fresnel half a minute to digest what Chennault had said.
Although Cheng Nuo's thought is not the same as his thought of solving the problem, he can not find any flaws in Cheng Nuo's method.
Half a minute later, he raised his head and looked at Cheng Nuo's eyes. His thin face grinned, ”yes, it's much better than I thought.”
”So now...” Professor Fresnel got up and held out his hand. ”Welcome to my team!”
Cheng Nuo shook hands with a smile.
”Today, you should familiarize yourself with the environment first, and start to work tomorrow!” Fresnel opens.
Cheng Nuo nodded, a pair of staff attitude toward the boss, ”yes.”
Professor Fresnel motioned to hull, a white boy, ”hull, take this Chinese classmate out. Tomorrow we'll talk about which project he should join. ”
“OK!” Hal nodded, nodded to Cheng Nuo, and walked out of the office.
Outside the office.
Hull turned to Cheng Nuo with a smile and asked, ”were you nervous just now? Fortunately, you have passed the teacher's test. Otherwise, with his temper, you may sit on the bench until the end of your term of office. ”
Cheng Nuo relaxed a smile, ”OK?”
”Yes.” Cheng Nuo stretched out his hand, ”please take care of it later.”
Hull shook hands. ”Of course, we are a team after all!”
He pointed to several empty desks in the room. ”Choose one. It's estimated that this place will be your second home for a long time to come.”
Cheng Nuo chose a window position, in the windowsill position, also placed several pots of succulent potted plants.
”It's Sylvia. We're rough men. We don't take care of it.” Hull explained.
When hull finished speaking, a tall girl with blonde hair tied into a ponytail at the back of her head and blue eyes came up and said, ”Hal, I haven't settled with you for the last time. I just went out to communicate for a month. Eight pots of potted plants were raised by you. Four pots died. Hum, lose money