New Ideas
Yenching Big Mathematics Department Mathematical Sciences, ranked first in the country for mathematics, has seven academicians of the Chinese Academy of Sciences, which is exactly the same as the total number of academicians of the Chinese Academy of Sciences at Zhejiang University.
To better align with international standards, Yenching Big Mathematics Department has appointed two Wolf Prize laureates, Elias Stern and Peter Lax, as Visiting Professor.
Stern was more famous than Terence Tao, who became his student and surpassed him, winning the Terence Tao Fields Medal.
The two American gentlemen frequently lecture at Yenching University; they are considered leading figures in the international Mathematics Community.
The School of Mathematical Sciences is a large organization with functional units such as the Party Committee, the Youth League Committee, the Student Affairs Office, the Teaching Committee, and the Degree Committee.
In academics, the Institute of Mathematics of the Chinese Academy of Sciences is the central hub, with Academician Wang as the director, overseeing the most cutting-edge mathematical research projects.
Each of the five departments has one department head, one or two deputy department heads, and several heads of teaching and research offices for each research direction. They undertake teaching tasks while also being responsible for research projects. This is a cradle for young mathematical talents.
Another important front in the academic field of mathematics is the editorial office of the * Mathematical Herald *.
The Mathematical Herald is a national core journal with an impact factor (IF) of 0.502. There are only two mathematics journals in China with an IF exceeding 0.5; the other is the Journal of Mathematics, published by the Chinese Academy of Sciences.
As one of the top mathematics journals in China, the mission of <Mathematical Herald> is far more than simply publishing two mathematics journals every two months, one issue A and one issue B, with each issue containing 15-20 mathematics papers.
The more important task of the * Mathematical Herald * is to collect international and domestic mathematical information and updates as soon as possible, such as which leading figures have published papers, which promising young scholars have given presentations, and what key points they have discussed.
After collecting a large amount of academic information, the editorial department of the Mathematical Herald will conduct in-depth analysis to determine the most popular research directions in the international Mathematics Community, which topics have international research value, and so on. They will also provide timely feedback and communication to the academic leaders in charge of the School of Mathematics at Yenching Big Mathematics Department to formulate the school's medium- and long-term academic plan.
In the global information age, the old way of doing scientific research in isolation is outdated. The editorial department of the Mathematical Herald keeps abreast of the latest developments in mathematics at home and abroad, which is more valuable than their work of publishing 12 journals a year.
Nian Ruiming is not old, just over forty. He is the editor-in-chief of the Mathematical Herald, a well-known mathematics expert in China, and has a long list of titles, including Changjiang Distinguished Professor, leading talent of the "Ten Thousand Talents Program" of the Organization Department of the CPC Central Committee, national candidate of the "New Century Talents Project" of the Ministry of Personnel, Outstanding Youth Fund Recipient, etc.
The honorary editor-in-chief of the Mathematical Herald was Academician Wen. The old man would occasionally visit the editorial office. He had complete trust in Nian Ruiming's work ability and academic level. Nian Ruiming was Academician Wen's prized student and graduated from the Mathematics Department at Yenching University.
The editor-in-chief brews a cup of tea, lights a 0.5 Zhongnanhai, and flips through the latest issue of a leading domestic and international mathematics journal.
Zhongnanhai is probably the designated cigarette brand for the School of the Big Mathematics Department; everyone from academicians to researchers smokes this brand.
The cigarettes smoked by School of Physics, the School of Chemistry, and the School of Computer Science are slightly more expensive; they have brands like Zhonghua, Suyuan, and Huanghelou.
The four colleges of Mathematics, Physics, Chemistry, and Computer Science undertake the core academic research work of Yenching University. To delve deeply into scholarship, one must smoke; without smoking, there is no inspiration.
Nian Ruiming, smoking a cigarette, first flipped through three of the four major domestic mathematics journals. He didn't need to look at the "Mathematical Herald" because he was the editor-in-chief and knew it very well.
Next, Nian Ruiming quickly browsed through the second-tier core mathematics journals in China. He flipped through the magazines rapidly, reading ten lines at a glance.
Despite the seemingly cursory glance, the editor-in-chief, with his astonishing memory, remembered one name.
The latest issues of the journals * Journal of Mathematical Research *, * New Journal of Mathematics *, and * Journal of Algebra * all feature the same author, Shen Qi. His contact address is listed as "Mathematics Department, School of Mathematical Sciences, Yenching University - Beijing".
Nian Ruiming checked the student records of the School of Mathematics. Shen Qi was a freshman in the Department of the Mathematics Department, admitted through a mathematics competition.
"Oh, Shen Qi, that's the IMO gold medalist with a perfect score." Nian Ruiming has a good memory; he recalled something from a year or two ago in an instant.
"This student in my department is passionate about writing papers. He published three papers in core journals within a month. He didn't even finish his first semester of freshman year. He has a lot of potential." Nian Ruiming became more and more interested in Shen Qi. In fact, Shen Qi had four papers published within a month, as well as one paper in a general journal.
However, the editor-in-chief of the domestic popular mathematics journals did not take notice of Shen Qi, who thought that Shen Qi had published three papers in one month.
Of course, publishing three professional mathematics papers in a single month is quite an impressive output.
"Why doesn't Shen Qi submit any articles to our * Mathematical Herald *?" Nian Ruiming, carrying his briefcase, left the editorial office for a meeting. He was quite busy, and paying attention to a freshman was a rare moment of leisure. Editor-in-Chief Nian would never tell a freshman, "Young man, you're great, hurry up and submit your papers to our * Mathematical Herald *."
Not long after Nian Ruiming left, an editor from the * Mathematical Herald * sent an email:
"Hello Shen Qi, your paper, 'Analytical Problem of Generalized Nonlinear Complementarity with Linear Inequality Constraints,' has entered the peer review stage. Please revise your paper according to the comments of your peers and upload the revised paper to our journal's submission system..."
Meanwhile, Shen Qi bought Ou Ye some water at a coffee shop off campus. They were regulars at the coffee shop and had VIP card, enjoying the discounts offered by VIP members.
The coffee shop has a nice ambiance, with soothing saxophone music playing, and the Wi-Fi speed is super fast.
Shen Qi and Ou Ye sat in their usual booth number 3, each with a laptop, elegantly sipping the most expensive plain water.
"It's so difficult," Ou Ye said. The topic she was researching was the analysis of the generalized nonlinear complementarity problem with linear inequality constraints.
Before New Year's Day, Shen Qi asked Ou Ye to study this topic and see if he could find one or more new solutions.
A new solution can lead to a new paper; multiple new solutions can lead to multiple new papers. Keep practicing, keep practicing as much as you can.
"But I found a clue." Ou Ye operated her laptop and opened a LaTeX document for Shen Qi to see.
Ou Ye's document offers a new approach, which essentially states that if {xk}ΩR^n is a sequence of points generated by an algorithm, then a strictly complementary condition can be found for each limit point of {xk}.
Shen Qi carefully reviewed it and concluded. "Ou Ye, your approach is correct, but it's still a work in progress. I'll ask you, how do you prove that the sequence {Φxl(k+1)} is non-increasing for all k?"
"This is so difficult." Ou Ye shook her head, not knowing.
"The project I subcontracted to you, how could it not be difficult? If it were too easy, it would be an insult to you," Shen Qi said.
"Then can you vouch for me?" Ou Ye asked.
"Ou Ye, how could you do this? You back down when you encounter difficulties? Never give up when faced with difficulties; you must rise to the challenge." In fact, Shen Qi hadn't figured out how to prove it for the time being. He said, "Ou Ye, you should think about this new approach and the core proof steps again. I'm very busy; I also have to work on Professor Lu's project, which is even more difficult."
"Oh." Ou Ye nodded and switched to another document for Shen Qi to see. This was the second approach she had come up with, though it was still a work in progress.
"Hmm, {xk} has at least one limit point that is a stable point... This makes sense. Ou Ye, your thinking is quite active. In just one or two weeks, you've come up with two different methods. The second one isn't difficult to implement. Based on local Lipschitz continuity, it's equivalent to the existence of a constant... Never mind, I'll write it down." Shen Qi took Ou Ye's computer and started typing away, along with a few mathematical formulas that he considered essential.
"Done." A few minutes later, Shen Qi handed the computer back to Ou Ye: "Did you understand? Just follow my derivation logic, combine it with your previous analysis and calculations, integrate and organize it, and the second method will be perfected. You can publish a new paper now."
"Joint authorship?" Ou Ye asked.
"I've subcontracted this project to you, of course you'll be the sole author," Shen Qi said.
"Joint signature," Ou Ye insisted.
"Son, one day you'll have to learn to be independent." Shen Qi snapped his fingers and called the waiter over to refill the water.
After refilling his glass of water, Shen Qi agreed to Ou Ye's suggestion, "Alright then, joint signature."
He dared not refuse Ou Ye, otherwise Ou Ye would take her medicine in front of him again.
Bite!
Just then, Shen Qi's computer emitted a crisp notification sound: You have a new email.
Shen Qi opened the new email. "Great! The editor of <Mathematical Herald> finally wrote! My fifth paper has entered the peer review stage! I can go home and have a good New Year!"
"Congratulations," Ou Ye sent a congratulatory message.
"Wait a minute, what kind of lousy expert is this? They're talking complete nonsense!" Shen Qi was in high spirits when he clicked on the attached expert opinion and was dumbfounded.