Omnipotent Data

Chapter 416

In the middle of the night, walking on the still bright campus path under the lights, Cheng Nuo smacked his mouth, a little bit lost in interest.

Not having fun!

He was immersed in the ocean of mathematical formulas just now, and he didn't notice the passage of time at all, so that he was woken up by the coffee shop owner when the door was closing.

But aftertaste, the feeling of ecstasy is still very cool. And the work efficiency has also increased by 40 to 50% compared to usual.

The impatient Cheng Nuo hurried back to the apartment. He didn't have time to say hello to He Youjun who was sitting on the sofa in the living room watching TV. He took a bucket of instant noodles and went straight into the bedroom to close the door.

It was hard for him to enter that state of selflessness. While he was still feeling a little bit, Cheng Nuo naturally seized all the time to work with the highest efficiency.

None of the three professors at Princeton had a fuel-efficient lamp.

With the hot instant noodles, Cheng Nuo started his night owl life.

…………

three days later.

Under the glare of the morning sun, Cheng Nuo drank the last sip of soup in the instant noodle bucket, packed all the data of the first task into a file, and sent it to the research group's chat group.

MIT Tom: "I've done work on converting topological counts to pure geometry, three can check. @PrincetonByrne @PrincetonMiller @PrincetonHatch."

It was only after six o'clock in the morning. Cheng Nuo thought that Professor Bourne and the three of them should not be awake at this time, so he planned to catch up on a nap before reading their replies.

But unexpectedly, only a few seconds after Cheng Nuo's message was sent, messages in the entire chat group began to beep.

"Princeton Byrne uploaded a file"!

"Princeton Miller uploads a file"!

"Princeton Hatch uploaded a file"!

Princeton Miller: "Hahaha, what a coincidence, Mr. Tom, I also just finished the work of studying the topological homology group theorem."

Princeton Hatch: "It seems that everyone's speed is good. I thought I was the first to finish it.

Didn't think let Tom you were the fastest! "

fastest man!

Although Cheng Nuo won this title, he was not happy at all.

Judging from the current situation, the research speed of the three of them is not slower than their own at all, and even faster than him.

After all, as soon as he finished it, he just checked it roughly and uploaded it directly.

Cheng Nuo frowned tightly, and couldn't help but feel that things were a little troublesome.

…………

Over there, Professor Byrne and the other three were not in a good mood either.

Cheng Nuo's document was only briefly checked, but the three of them were even worse. Because when Cheng Nuo uploaded the document in the group, the three of them had barely finished the first task.

As soon as I thought about checking the research results several times, I heard the phone beep, and the news of Cheng Nuoite and the others came into my eyes.

In a hurry, I didn't have time to check it, so I uploaded it directly.

Professor Byrne chatted with Miller in private, "Oh, we are still a little slow!"

Miller took a sip of the coffee at the table, pulled himself together, and typed with a wry smile, "I didn't expect him to be so fast. I didn't even have time to double-check it before uploading."

Professor Bourne: "Who isn't! Forget it this time, we have lost a city, and next time, at least a few hours earlier than him."

Miller yawned: "Definitely! If I explode my liver, I'm not afraid of anyone!"

Back then, in order to catch up with the progress of the project, he worked non-stop for two days and three nights.

"By the way." Miller continued to send a message, "I bought a few boxes of the drink called 'Kidney Treasure' from Huaguo through a purchasing agent. I heard that it has a miraculous effect on liver explosion. Do you want to try it, Mr. Bourne?"

"Bring me a box!" Professor Byrne was getting old and was about to reach the age where his liver could not move, so when he heard this "wonder medicine", his eyes lit up immediately.

"Send some to Hutch, we won't lose the chain for a while!" Professor Byrne added.

…………

In the subject group chat, after a minute or two of silence, Professor Byrne popped up and said, "Let's check these four documents first, so as to avoid problems when using them later."

Cheng Nuo typed "OK", downloaded the other three documents, and checked them roughly.

Half an hour later, Cheng Nuo typed, "No problem!"

After a while, the other three also typed "No problem".

"Since no problems have been found, let's continue to work and strive to end the subject research as soon as possible, come on!"

"come on!!"

"come on!"

"Fighting!"

In front of the screen, four people with dark circles under their eyes cheered each other on!

Cheng Nuo turned off his phone, looked up at the bright sunshine outside the window, and sighed heavily.

I thought I would sleep for a while after finishing the first task, but the current situation...

Still sleep with woolen wool, let's work hard!

Cheng Nuo opened a bottle of Kidney Treasure, gulped down half of the bottle, and instantly regained his energy.

Don't let the momentum of Massachusetts be weakened!

With a warning to himself, Cheng Nuo turned on the computer and created a new document.

Isn't it just three professors from the world's top 5 universities, I can figure it out!

…………

[Given the domain k (any feature) and K (the feature is 0), record the category V(k) of smooth projective varieties on k, and the category of graded K algebra is GrVet(K). Define the Weil cohomology functor as Inverse variable functor H*: V(k)→GrVet(K), for all d-dimensional projective series X, satisfies the following axioms:]

[Finite axiom: H^i(X) is a linear space of finite dimension K. 】

[Axiom of Vanishing: H^i(X)=0, unless 0≤i≤2d. 】

[Orientation axiom: H^2d(X)=K. 】

[Poincaré duality: there is a non-degenerate pairing H^i(X)"*"H^2d-1(X)→H^2d(X)=K. 】

[Kunnenth formula: there is canonical isomorphism H*(X)“*“H*(Y)→H*(X*Y). 】

[Closed-chain mapping: record the K-linear space spanned by the rational equivalence classes of the algebraic closed-chain whose codimension C^i(X) is i. It requires the existence of a closed-chain mapping lx:C^i(X)→H ^2i(X) satisfies the functor property, is compatible with Kunh's formula, and gives an embedding Q→K when X degenerates to a single point. 】

Done!

Cheng Nuo, with disheveled hair, typed the last line on the keyboard and snapped his fingers happily.

With the blessing of Shenbao, Cheng Nuo finally finished the next task after more than two days.

Through the research results of the last stage, six axioms that are satisfied for all d-dimensional projective clusters are deduced.

Without too much hesitation, Cheng Nuo briefly checked the document and uploaded it to the chat group.

Before Cheng Nuo could show off by typing without a trace, the three documents were uploaded in almost one by one.

Cheng Nuo's eyes, which were slightly swollen from staying up late for a long time, instantly turned red, staring at the screen, his eyes were bloodshot.

Those three guys are really too cruel!

Professor, you are professors! It shouldn't be normal to stay in the office and work leisurely with tea, do you need to work so hard with me?

I just want to save face for the school? !

Looking at the four documents lined up in the group, Cheng Nuo felt the urge to cry.

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