Chapter 384 (1/2)

Chapter 387

”you see, what I said is true?” Cheng Nuo says with a smile.

”Great.” Helmwood nodded.

Hull was not surprised that it was fake, but when he recalled that Cheng Nuo finished the outsourcing project on his own in less than a week last time, the situation in front of him was not so bad.

Hull gave a wry smile. ”It seems that we all underestimated you.”

Cheng Nuo has long been used to this, and said with a smile, ”it seems that what I hide is not deep enough? Ha ha. ”

”By the way, in that case...” Hull looked at Cheng Nuo with a wisp of eagerness. ”It's no longer feasible for us to exchange tasks. Well, you can't give me any advice. Function theory is not really my strong point. ”

Well, Cheng Nuo didn't hesitate.

He nodded. ”OK.”

Hull's task is to study some properties of Lipschitz function and the transformation of Fritz John type optimality conditions, which he already knew when Professor Fresnel assigned tasks.

Cheng Nuo's level in function theory is higher than that in geometry.

So hull's thorny problems were nothing to him.

Put down the work in hand, Cheng Nuo also does not need long time to think.

A minute later, he picked up a piece of scribble paper and explained to hull, ”Lipschitz function is very simple as long as you find the right direction to cut in.”

”Since our subject is related to Riemannian manifolds, the first task is to connect Lipschitz functions with Riemannian manifolds, so as to facilitate subsequent research.”

”My idea is, first of all, Let f (x) be a real valued function defined on Riemannian manifold m, x0 ∈ u, (U, φ) be a coordinate card containing point x0. If x, y ∈ u, and there is a constant L, there are:

F (y) - f (x) | L | φ (y) - φ (x) |

then, it is obvious that f (x) satisfies the local Lipschitz condition near x0. Now

”You see, a mapping f: m → r satisfies the local Lipschitz condition near the point x ∈ m, then the mapping f (x; o): TXM → R is finite, positive homogeneous, sub additive, and fully satisfies | f (x; V) | ≤ L | V |, f (x; V) as a function of V satisfies at TXM....”

Hull sat by Cheng Nuo's side and listened attentively to Cheng's explanation.

As time went on, his eyes became more and more bright.

A feeling of sudden enlightenment filled his whole body.

Before all the confusion, all disappeared without trace.

Listen to your words, better than ten years of reading!

If hull had been in China for some time, he would have used this idiom to express his excitement.

”Well, that's it. Later, you can go back and deduce it yourself. ” Cheng Nuo raised his pen and wrote down the last line of formula on the paper.

Before the reaction, Cheng Nuo felt that he was held by a strong force, and then quickly released.

As soon as I look up, it's hull's back.

Cheng Nuo shakes his head and smiles, turns his chair and continues to work.

…………

In the afternoon, at 5:35, it was less than 30 minutes before work.

Cheng Nuo, who has been sitting in front of the computer all day, stands up and looks at the distant scenery through the window while exercising.

On the computer screen, Cheng Nuo has finished his task and put more than ten pages of formula in a document.

”I'm so tired!” Cheng Nuo stretched out a big stretch, overlooking the red water under the sunset in the distance.

MIT was built on the Bank of the Charles River, where Cheng Nuo can see a few small boats floating on the river.

When the project is over, you can go there.

With this in mind, Cheng Nuo copies the documents on the computer to the USB flash disk and walks to the front of Professor Fresnel's office.

He raised his hand and just wanted to knock on the door. His hearing was OK. Cheng Nuo heard a few laughs coming from inside.