"This topic is to explore nonlinear inequality constrained optimization superlinear and quadratic convergence problems with the help of sequence linear equation technology and strong subfeasible algorithm ideas, right?" Qin Ke glanced at the large series of complex mathematical argumentation processes written on the blackboard.

.

This advanced algebra problem is the depth of a graduate student, but Qin Ke has now integrated and digested more than 50% of professional-level mathematics knowledge, including advanced algebra content on nonlinear inequality constraints.

After reading the argumentation process on the blackboard, he already had the numbers in mind, and then stretched out his hand and said, "Can you show me the current results?"

The female graduate student saw that although Shi Cunyuan had a straight face, he did not object, so she handed a few pieces of manuscript paper to Qin Ke.

Qin Ke looked at it for about five minutes, handed the manuscript paper back, and said with a smile: "The implementation teacher has pointed out the right direction, which is to first establish a new fast convergence algorithm with an arbitrary initial point. In this algorithm, only

The difficulty in solving a linear system of equations with a simple structure and then iterating is that the initial iteration point of the algorithm is arbitrary, and penalty functions and penalty parameters cannot be used."

He picked up the chalk and wrote a few equations on the blackboard: "I have a small suggestion. We can refer to the results of generalized Lagrange multipliers, generalized projection matrices, and classic conjugate gradients.

method to form a linearized quadratic model with spherical constraints..."

Qin Ke wrote while talking, and soon the entire blackboard was filled with: "Look, this can make it possible to achieve that during the iterative process, the feasibility of the iteration point sequence is monotonically unchanged. At this point, this algorithm based on strong subfeasibility

Has a new algorithm of thought been established? How to prove that under relatively weak assumptions, this new algorithm has superlinear and quadratic convergence, I don’t need to say it?”

The whole place was silent. Several graduate students looked at Qin Ke and the argument process he wrote with their eyes wide open. Their mouths opened subconsciously due to shock could almost fit an egg.

They had been thinking hard for more than three months, but could not find a breakthrough in the difficult topic. This junior high school student just looked at it for a few minutes and figured out the idea of ​​​​the new algorithm and the specific demonstration process?

Although Qin Ke has not written it completely, the most critical points have been written out. As long as they continue to deepen this idea based on Qin Ke, they will be able to complete this topic in less than a month!

Even Shi Cunyuan looked at Qin Ke with eyes filled with wonder and disbelief.

Although he knew that Qin Ke's mathematics level would not be worse than any undergraduate mathematics major from the two top universities in northern Qing Dynasty, he did not expect that Qin Ke could even solve graduate students' projects so easily!

Qin Ke threw down the chalk and said with some embarrassment: "Well... I'm just giving you a suggestion. All the senior brothers and sisters are better than me. Please give me some advice!"

The female graduate student was the first to come to her senses, her eyes glowing and she said, "Junior brother, are you tired? I'll help you beat your back."

Several other graduate students also gathered around. Some handed him wet wipes to help Qin Ke wipe his hands, some gave him snacks, and some wanted to rub his shoulders, as if he was filial to his boss.

Shi Cunyuan laughed and cursed: "Look at this little success you have! For this topic, you added Qin Ke as the author..."

Qin Ke quickly shook his head and said resolutely: "No, no, I'm just making a suggestion. I really don't need to sign it. The specific results will require the hard work of several senior brothers and sisters to demonstrate. There will be a lot of follow-up work. It won't be possible to actually write a paper."

It's impossible for a month or two."

To be honest, this paper is barely enough to be published in a core domestic journal, and Qin Ke really doesn’t like it. What’s more, with so many people signing it, 90% of the time the system won’t give academic points, so what’s the point of signing it?

Even if you sign it, it will only make people think that for such a simple project, you Qin Ke actually had to work with so many people to achieve results? - Anyway, Qin Ke felt that he could not afford to lose face.

Because his attitude was very resolute, several senior brothers and sisters looked at Shi Cunyuan indifferently.

Shi Cunyuan said angrily: "Okay, you go back and study Qin Ke's idea over and over again. Why is it that he can figure it out but you can't? All the knowledge points don't exceed Yan Er!"

He turned to look at Qin Ke: "Qin Ke, if I remember correctly, you are taking the National English Knowledge Competition finals today, right? Why do you have time to come here to me?"

"I have just finished the oral test. Qingjun has another oral test, which will take at least two hours to finish. I will come to visit you first and want to ask you some math questions." Qin Ke said sincerely.

Shi Cunyuan became interested. This guy's skills were much better than those of the graduate students he led. Could it be that he still encountered any difficulties?

He asked: "Oh? Do you have any other math questions that you need to ask me about?"

"Uh... Actually, it's like this. I haven't had much subject in mathematics recently. I happened to see some famous mathematical conjectures, such as 'Goldbach's conjecture', 'Hodge's conjecture', 'Riemann's conjecture', 'Merson's conjecture'

Prime number distribution conjecture', 'New Mersenne's conjecture', 'Twin prime number conjecture', 'Krammel's conjecture', 'Beer's conjecture'..."

Qin Ke glanced at several graduate students and senior fellow students, and said with some embarrassment: "I wanted to challenge one of these conjectures, but there are too many conjectures. I took a cursory look and didn't have any clue. Please ask Teacher Shi for advice.

, which conjecture do you think is more appropriate to set as the topic?"

Shi Cunyuan: "..."

Graduate students: "..."

We are still working hard on the problems of higher generations, but you have already set your sights on the world's problems?

At this moment, all the graduate students had mixed emotions like a dog.

A high school student actually wants to study a world-class mathematical conjecture. It sounds ridiculously arrogant, but the insight and thinking ability that Qin Ke showed on their project just now are so amazing that the graduate students present

No one dared to doubt that Qin Ke could not prove these famous mathematical conjectures.

This chapter is not over yet, please click on the next page to continue reading! They can only sigh in their hearts. Sure enough, people are different. Oh no, the difference between ordinary people and academic gods is not really about age and how many more years they have studied.

You can get closer.

Shi Cunyuan looked at Qin Ke with a strange look for a while, then asked: "Why did you decide to challenge these world problems?"

"Didn't there used to be a classmate Liu who conquered the 'Sitapan Conjecture' when he was 22 years old? I thought he was a few years older than me at the time, so I wanted to study it slowly first..."

Shi Cunyuan was silent for a while and then said, "Wait here."

He turned around and left, and after nearly ten minutes, he returned with an old, somewhat yellowed notebook in his hand.

"When I was a graduate student majoring in mathematics at the age of 26, I won the Chung Jiaqing Mathematics Award. After graduating from Ph.D. at the age of 30, I received the Chen Shengshen Mathematics Award. At the age of 32, I was appointed as a full professor. At that time, I thought very highly of myself.

Gao, was ambitious to challenge the 'Riemann Hypothesis', and was obsessed with it for five years. Finally, I found that all my ideas were wrong. I woke up from a dream and knew that I did not have the ability to prove the 'Riemann Hypothesis'.

I guessed it, so I devoted myself to mathematics education, thinking that one day, the students I taught would be able to do what I couldn't do..."

Shi Cunyuan gently stroked the cover of the old notebook, and his eyes finally fell on Qin Ke: "Here are recorded all my results and research on the 'Riemann Hypothesis' at that time. Although the results proved that my thinking at the time was wrong, but inside

My exploration should be of some reference to you. At least you can avoid the detours and wrong paths I took."

He placed the precious old notebook in Qin Ke's hands: "Qin Ke, I hope that one day you can prove the 'Riemann Hypothesis', so that our mathematics in Xia State can completely embark on the road of revival.

"

The notebook is not heavy, but Qin Ke can feel the weight of this trust.

He solemnly said: "Teacher Shi, I accept your notebook!"

If Qin Ke was Shi Cunyuan's registered disciple before, now that he has taken over the inheritance, he is a true disciple.

As the graduate students watched this scene, they felt a sense of solemnity in their hearts. The female graduate student even felt like crying.

They knew that this was an educator who dedicated his graduation energy to the mathematics community of Xia State and passed on his beliefs to the next generation of successors.

They are not capable of taking on such a heavy burden, so they can only hope from the bottom of their hearts that their little junior brother will one day turn this belief into a prairie fire and light up the mathematical world of Xia Kingdom with his brilliant mathematical achievements.

s future!

…

Qin Ke carefully put Shi Cunyuan's notebook into his schoolbag, and suddenly heard a loud voice coming from outside the door: "Why is the atmosphere here so solemn? Lao Shi, what are you doing?"

Qin Kexun looked up and saw an old professor who was less than sixty years old walking out. He had thin hair, a typical Mediterranean hairstyle, and wore high-end glasses. It made it even more obvious that his extremely small eyes were only a single line.

But the look in his eyes is very bright.

The old professor's eyes also fell on Qin Ke: "This is... the school uniform of Yingyuan High School? Are you Qin Ke?"

Qin Ke quickly stood up and said: "Hello, I am Qin Ke. Who are you..."

Shi Cunyuan wiped the moisture from the corner of his eyes, with a relaxed smile on his face. He pointed at the visitor and introduced: "This is Professor Ji Guanglan from the School of Computer Science at Yuanzhou University. You should have contacted each other through text messages last time."

Qin Ke said respectfully: "It turns out to be Professor Ji. Hello, I haven't thanked you for recommending the journal to me before."

Ji Guanglan looked at Qin Ke, with a smile of approval flashing in his eyes: "Speaking of this, I have to complain about Lao Shi again, which almost misled me and made me miss your good paper. Qin Ke,

The five papers you published last time on operating systems were very good, and I was one of the reviewers. How long have you been learning computer knowledge? "

"Professor Ji received the award! I have taken computer courses in junior high school and high school. I am also somewhat interested in this aspect and have been reading related books intermittently."

Ji Guanglan nodded. After several years of study, he almost finished it. He asked again: "What textbooks related to operating system development have you read?"

"In addition to the basic textbooks in school, I have read about thirty or forty textbooks on programming, operating system principles, microcomputers, and network communications. I read one book every three days on average. After reading some insights and inspirations, I try

Write so many papers."

At this time, Qin Ke had absorbed the informatics knowledge transmitted from the system, plus the knowledge from hundreds of textbooks obtained from the previous "artificial intelligence" mission, the total amount of knowledge exceeded 500 textbooks, which was a big discount.

.

"Reading a book in three days?" Ji Guanglan was extremely surprised. Although Qin Ke is an unparalleled genius, after reading a book in three days, can he really master the knowledge inside?
Chapter completed!