After starting the new journey, Gu Xingyi continued to live a life of two points and one line in the library-home.

However, the books I have read are piled up one by one, and most of the system's concentration time has gone, and I still feel unable to start the thesis.

On this day, when Gu Xing came back with the book, he was in the stage of sighing or not.He clearly felt that the thesis was about to come out, but the inspiration was like an arrogant beauty, no matter how many jewels he sent, she still refused to favor her stingily.

Even Lou Jianyue could see his distress, he put a few extra pieces of meat on the dining table, and asked with concern: "Have you encountered any bottlenecks recently?"

"I have learned it, but I haven't figured out what to write in the thesis yet." Gu Xing crossed his fingers to form a platform, and said while supporting his chin.

"It's normal, how many Ph.D. students are stumped by their graduation thesis." Lou Jianyue saw that there were quite a few classmates and students, and he was not surprised at all, "Although you are extremely talented, you still haven't learned enough, not enough deep."

Gu Xingyi was not comforted and said: "Hey, what I want to write has ideas, others have written it, others have not written it, and I have no ideas, suddenly I have an idea, think about it carefully, hey, solve it. It's pointless to come out."

[The host is calm, the first child is always difficult to deliver. ] The system comforted with a smile in its mind.

[Go, I don’t have children. ] Gu Xingyi didn't like this description, but he felt strangely comforted.

At this point, the system becomes useful: [The host can use inspiration. ]

[Isn’t that what you use when you can’t find the answer to a puzzle? ] Gu Xingyi also remembered the unused props and asked.

[No, choosing a thesis topic also requires inspiration. ]

[Can it be used now? ] Gu Xing's eyes were shining.

[Sorry dear, for your own safety, this prop needs to undergo a full brain scan before using it. ] With a guilty conscience, the system used Taotao accent, the sweet and greasy female voice gave Gu Xing goosebumps all over his body.

[Then when will the scan be completed? ]

[Twelve o'clock tonight. ]

[Fine.Then you wake me up. ]

In the dead of night, Gu Xingyi was woken up by the system in a daze.

[Host, you can use inspiration! ] The system's tone was very excited.

[so sleepy. ] Gu Xing was complaining in a half-dream, half-awake state, and when he turned his head, seeing Yue Jing's side face upstairs, he suddenly woke up in a cold sweat.

In the past, Gu Xingyi would sleep until dawn and never wake up in the middle of the night, so he realized that he had been sleeping like this for half a month.No wonder he sleeps on all fours every morning. Brother Lou never said that he interfered with his sleep, that's right, who can move when tied up like this.

Gu Xingyi struggled for a long time, and struggled to be free like a butterfly breaking out of its cocoon.

Fortunately, Lou Jianyue sleeps very well and won't wake up easily, which allowed him to escape safely.

As soon as Gu Xing stood by the bed, he was shivered by the air conditioner, and quickly opened the door to the study.

The small warm yellow light in the study was turned on. Gu Xingyi sat on the chair and told the system: [Turn on the inspiration function. ]

[The function has been turned on, there is one more time left, I hope the host enjoys using it! ]

Gu Xing only felt a slight electric current flow through his brain, and he had a tingling, itchy feeling. After that feeling, he felt that his brain was clearer than ever before.

Meanwhile, a theory comes to mind - Morse's Theory.It can be applied to nonlinear Hamiltonian systems.

I have read a lot of related papers recently, but their basic ideas are similar, but I suddenly thought of an excellent use method!

[Inspiration is based on the deepest impression in the host's mind and the establishment of connections with the best knowledge. This paper should be a good proof.Does the host feel it? ] The system understands the activation principle of these functions in hand, and after explaining to the host, he can't wait to know how to use these functions. This is one of his jobs, and he will record it and hand it over to the database to improve the functions. .

[Exactly as you said, I feel like this is what I'm looking for these days. ] Gu Xing nodded and took out a large pile of A4 paper, then took out a pen, and happily wrote down the first line of formula, and the following arguments flowed out of his pen as smoothly as running water.

For things like papers, especially mathematics papers, the core part is actually the argumentation part, and other messy things will be completed after the argumentation part, but the core proof must be solved first.

Gu Xingyi did not turn on the computer to record. After all, when his mind was running wildly and he felt that the writing speed could not keep up, the typing speed would only become a bigger drag. After all, it is hard for everyone to imagine that a person can use the keyboard smoothly. Type integrals or symbols like ε, θ.

The proof of functional analysis has never been simple. Gu Xingyi was driven by his own thoughts to write all the way, and when he finally finished writing, he could close the pen and move his wrist, and nearly thirty draft papers had been densely filled.

Well, the next step is to delete unnecessary proofs, simplify the process, and conduct in-depth exploration and correctness scrutiny on the parts that are obviously skipped.

Gu Xing was in a great mood to solve a major matter, and if he was full of energy, he would devote himself to it.I don't know whether it is the continuous effect of inspiration or the high mood is conducive to breaking through the bottleneck, a thought flooded Gu Xingyi's mind again: "Is this the content of quantum mechanics?"

"I want to confirm." Gu Xingyi opened the tablet and began to search.

At this time, the street lamps outside gradually went out, and the sky turned white.

[Host, why don't we go to rest and get some more sleep. ] Previously, Gu Xingyi was obsessed with dissertations and couldn't be interrupted, but now the system is persuading him worriedly.

[No, I can still learn! ] Gu Xingyi is very energetic.

[Host, if you stay up late, you will become bald. ] The persuasion was fruitless, for the sake of the host's health, the system could only send out a warning.

Gu Xingyi shivered for no reason, and finally put down the quantum mechanics reluctantly, wrapped himself up, and stuffed himself into Lou Jianyue's arms.

Early the next morning, after repeatedly confirming that he still had thick black hair in the mirror, Gu Xingyi finally felt relieved.

The system saw him staring in front of the mirror like a peacock for a long time, and couldn't help complaining: [Host, what are you afraid of.Produced by the system, it must be a high-quality product.After drinking the body enhancer, I will not lose my hair for 100 years. ]

[Isn’t it because I’ve learned too much recently? Look at the professors in the Department of Mathematics. Except for my brother Lou, how many of them are not extremely smart? ]

[Heh, it’s not the same if you study physics, host, your hair doesn’t fall out enough. ]

[That is why there are dark circles under the eyes? ] Gu Xingyi looked at the faint marks in his eyes, a little afraid of being discovered by Lou Jianyue.

[snort! ] The system felt that this lifeless host deserved it if it was discovered, and that someone had better take care of it, so it sneered.

[Tong, is there anything I can use?Didn't it say a few days ago that you will get back the potion when you buy focus time? ] Gu Xing rolled his eyes and remembered the system notification he heard a few days ago when he was dizzy and studying.

I do remember now.The system is helpless: [In the backpack. ]

Gu Xing gleefully covered the potion with his hands and gulped it down. He was looking in the mirror, and the dark circles under his eyes disappeared.

"One by one," Lou Jianyue stood at the door of the bathroom with a helpless expression on his face. He had been waiting for a long time to go to the bathroom, but Gu Xingyi held on to the mirror and could only make room, "How about I buy it for you in the future?" A mirror in the bedroom?"

"No, no, no!" Gu Xingyi was taken aback. Fortunately, the potion produced by the system was petite and easy to cover up, and his movements could not be seen from Lou's angle.

Thinking about it, he hurried out of the toilet.

When Lou Jianyue came out, he had already obediently sat on his seat and had breakfast, but the mobile phone in his hand never took a break.

"What are you looking at?" Lou Jianyue was suspicious. He had never seen Gu Xingyi love looking in the mirror so much before, nor did he hold a mobile phone and look at it endlessly. All these situations were after letting him go to the library alone. It just appeared, could it be that I saw a girl I liked in the library?

"It's nothing." Gu Xingyi was holding his chopsticks in his mouth, forgot to eat, and said without raising his head, "I recently read the works on basic quantum mechanics, and I found it very interesting."

Lou Jianyue frowned slightly: "I remember you were preparing a math paper recently."

He watched Gu Xingyi study all the way down, and knew that his recent mathematics level was no problem at all, and the trouble in publishing the paper was the format and the time it took to pass the manuscript.He can spend time because he has reached the bottleneck period, but he can't waste his time because he likes the new and dislikes the old, suddenly turns around and plunges into a new field.The latter situation is common to Gu Xingyi, but it is the most disgusting behavior of Lou Jianyue, who has always been firm and steady.

As soon as Gu Xing was told by him, he had no choice but to put away his phone, raised his hands in surrender and said, "I've already decided on the topic."

"Or nonlinear functional analysis?" Lou Jianyue really didn't like this direction.

After all, pure mathematics papers do not require much data verification, as long as the reasoning is rigorous and error-free, but if it involves applications, it will be much more troublesome.What's more, if Gu Xingyi chooses the direction of number theory, he can provide some small work results that are icing on the cake, and he will be more confident in urging the editor to pass the manuscript.

Of course, it is undeniable that part of it is because he is a fan of pure mathematics, and he does not want the good seedlings he fancy to go on other paths.

It's a pity that the reason why Gu Xingyi became his favorite seedling was because he had the pride and firmness that an outstanding scholar should have.Gu Xingyi disdains to use other people's help outside of academics, let alone mix other people's things in his own achievements.

He understands, so he doesn't insult him by bringing up these things.

"Yes." Speaking of this, Gu Xing beamed with joy, ""Application of Morse Theory in Nonlinear Hamiltonian Systems", Hamiltonian systems can be used to solve boundary values, and there are many applications in physics and economics, but There are many limitations in traditional usage, and the error is also very large. I have sorted out a set of solutions here, but there is one point that is not clear. I found that this system in quantum mechanics overlaps with this one... and the LN equation... "

As he said, he couldn't wait to take out a stack of draft paper, almost hitting Lou Jianyue's face.

"When you came back last night, you were still holding this book with a sad face. When did you write it?" Lou Jianyue took a stack of papers, and his focus was completely different.

Gu Xing touched his nose: "I made it last night."

"You got up in the middle of the night to do it?" Lou saw Yue Fu'er, he slept soundly last night, he never expected that this little guy got up secretly and wrote more than 30 pages of proof.

Although Gu Xing's face was healthy and ruddy without any signs of fatigue, Lou Jianyue frowned and carried him to the bedroom, pressed him on the bed, and tied him tightly with a quilt: "Hurry up and go to bed now!"

Gu Xingyi struggled to get his phone back, but was easily suppressed by Lou Jianyue, who had also learned fighting skills and had a more dominant body shape.

It was a Fahai who fell from the sky and broke up a pair of mandarin ducks.

"I'm fine, I'm not sleepy at all." The effect of the energy potion used last night was still there, and Gu Xingyi was in high spirits, and didn't want to catch up on sleep.

"Your body, you have to take good care of it..." Lou Jianyue obviously didn't believe his nonsense, and persuaded him earnestly, trying to use Tang Seng Dafa to make Gu Xingyi fall asleep.

"Dingling!" A ring rang, it was Gu Xingyi's cell phone.

Gu Xingyi seemed to have a savior: "Let me answer the phone!"

Lou Jianyue was helpless, he behaved well and would not rush to listen to other people's calls, so he had to return the phone to Gu Xingyi.

"Well, okay, right away." Gu Xing answered the phone with a half-crying and half-smiling expression.

"What's wrong?" Seeing his distorted expression, Lou Jianyue asked concerned.

"My uncle is finally back."

The author has something to say: The title of the thesis is made up randomly.

However, Morse theory and Hamiltonian system are terms that do exist, and they are still quite important two.

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