2770: C2770 Field Proof

C2770 Field Proof

"Although the differential equation of a single-valued group does not mean that it is a top problem, it is not something that can be solved in a short period of time."

"Qin Luo definitely won't win this time!"

Regarding this, Richard Miller was very confident …

Time flew by and in the blink of an eye, several days had passed.

In these few days, Qin Luo spent most of his time, other than the first day, in the Yanjing University Research Institute.

Under the disdainful efforts of Qin Luo, Zhou Minggang and everyone else, the technology that changed course on its own had made great progress.

Coincidentally, Deligne came to Yanjing University today.

He happened to see Qin Luo.

Deligne: "?"

Shouldn't Qin Luo be preparing for the award ceremony now?

Why did he suddenly appear here?

When Deligne saw Qin Luo, he was stunned!

"Qin Luo, why are you here? Aren't you supposed to be studying the differential equations of the unimodal group right now? " Deligne frowned and asked.

Yes, according to his script, Qin Luo should be studying the single-valued group differential equations right now.

But he suddenly appeared here!

Deligne almost couldn't believe his eyes.

"Teacher, we need to study the single-valued group differential equations, but we can't let go of the manned spaceflight either, don't you think?" Qin Luo chuckled and said, "And Teacher Deligne, if I told you, you might not believe that I have already researched the single-valued group differential equations."

Deligne: "?"

What did he hear?

Qin Luo has already completed the proof of the differential equation of the single-valued group?

Am I dreaming?

The moment Qin Luo finished his words, Deligne froze on the spot.

Qin Luo has completed the proof of the differential equation of the single-valued group! He could hardly believe his ears.

How could there be anyone in the world who could complete a topic in just a few days?

Although this topic was only the third type, it was impossible for anyone to complete it in a short period of time.

"Cough cough ~" Deligne coughed awkwardly and then said, "Qin Luo, you sure don't want to make fun of me!"

A joke?

Emm.

Qin Luo shrugged his shoulders as a helpless smile flashed across his face.

No one would believe it.

"Professor Deligny, what I said was all true. If you don't believe me, I can count it out for you to see." Qin Luo said.1

Calculate on the spot?

Actually, it wasn't impossible.

Deligne nodded heavily and said, "In that case, let me see the calculus. I would like to see how you can prove the single-valued group differential equation in such a short time of a few days!"

"No problem!" Su Yun replied and then waved his hand at the staff member beside him, who quickly brought a few pieces of paper over to Qin Luo.

"Teacher, should I start now?"

"Hrm ~"

Nodding, Deligne stared at Qin Luo unblinkingly, afraid that he would miss out on any of Qin Luo's actions.

Smiling, Qin Luo unscrewed the cap and then began to write: If the function f (x, y) is continuous in the rectangular field R and the equation dy/dx = f (x, y) about y satisfies the Lipschitz condition, then the equation y/dx = f (x, y); there is a unique solution y = φ (x), defined at the interval | x-x0 | = h, continuous and satisfying the initial value condition φ (x0) = y0, where h = min (a, b/M), M = max | f (x, y) |.

Let y = φ (x) be the solution of the equation defined in the interval x0 = x = x0 + h, and satisfy the initial value condition, then y = φ (x) is the continuous solution defined in the integral equation y = y0 + f (x, y) dx, x0 = x = x0 + h, and vice versa. The solution of the integral equation y = y0 + f (x, y) dx, x0 = x0 + h is defined in the interval x0 = x = x0 + h.

For all n, the Pika Stepwise Approximation function,? n (x), is defined at x0 = x = x0 + h and is continuous and satisfies the inequality |? n (x) -y 0 | = b.

… ….

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