The second semester of the sophomore year at Sakura Garden Private High School will start on February 25th, so there is still a short period of time during the winter vacation, and many students are in the final carnival stage.

But for Qin Ke and Ning Qingyun, the remaining winter vacation is precious study time. They rarely go out and mainly study in Green Village.

Teacher Liang, a senior in high school, once again had the honor of becoming a "delivery agent". He followed Qin Ke's text messages every day to help purchase daily necessities and ingredients and deliver them.

However, because there are still nearly five months left before the IMO exam, Qin Ke's special training for Ning Qingyun is not as intensive as it was in January, and he only spends about four hours a day tutoring her for the Mathematical Olympiad.

The difficulty of IMO is indeed higher than that of the national competition, and it puts forward higher requirements for flexible mathematical thinking and broad mathematical vision.

Qin Ke's current special training is basically to select the most suitable questions for Ning Qingyun based on her level. Each question is repeatedly broken down and explained in detail, and the knowledge points, problem-solving skills and strategies are continuously extended and diffused, making

Ning Qingyun's science potential was maximized as much as possible.

This requires a lot of questions. Fortunately, Qin Ke has a large number of IMO question banks and problem-solving techniques provided by the system in his mind. Naturally, he no longer has to worry about finding questions to explain to Ning Qingyun, but he also has to put them in his mind first.

A large number of question banks were analyzed question by question to select the most suitable questions for Ning Qingyun, and many of them were in English. If Qin Ke's English level had not been improved to CET6 level, it would have been a bit of a headache.

Ning Qingyun learned much more easily, partly because her Mathematical Olympiad level had indeed risen to a very high level. Looking at the entire Xia Kingdom high school students, she was second only to Qin Ke.

On the other hand, Qin Ke has reduced the pressure and intensity of the course, and Ning Qingyun's face is no longer as pale and haggard as before.

The two also continued to play badminton in the morning, lunch and evening every day. Qin Ke also provided delicious lunch and dinner every day. Ning Qingyun's thin face finally regained a little roundness, but compared with the Mathematical Olympiad exam in December

Before, I still looked a lot thinner.

Feeling that IMO's special training was enough, Ning Qingyun offered to continue tutoring Qin Ke in liberal arts, mainly English and Chinese, for one hour each.

Qin Ke didn't object. Anyway, one hour of English learning and one hour of Chinese language learning every day were just a way to relax.

Now Qin Ke's talent in liberal arts is basically the same as that of Ning Qingyun, and it is quite easy to learn Chinese, especially his English level. After receiving the knowledge systematically transferred and mastering it, his actual level is already above Ning Qingyun's.

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However, Qin Ke still likes to see Ning Qingyun teaching him English carefully and seriously, and teaching and learning complement each other. When Ning Qingyun teaches him English, his English level continues to improve.

Of course, Qin Ke did not deliberately hide his English ability. At least in terms of spoken English, he gradually showed that he was able to keep pace with Ning Qingyun. Ning Qingyun was surprised and surprised. He could only lament that Qin Ke had suddenly suddenly

"It's enlightening" and I have mastered the secret of learning English.

In addition to preparing for IMO and continuing to study liberal arts with Ning Qingyun, Qin Ke also took the time to go to the bookstore with Ning Qingyun and bought a lot of tutoring books for physics, chemistry, and biology competitions, plus the ones provided by the school.

There are a large number of real questions and practice questions from previous competitions, which are basically more than enough to cope with the municipal preliminary competition.

In the chemistry subject, Qin Ke just hurriedly flipped through the tutorial books and real questions to verify the knowledge passed down to him by the system and then put it down and ignored it. His main focus was physics and biology, especially physics.

Biology will be unlocked after completing the preliminary tasks, so you don’t have to worry too much when it comes to the provincial competition. However, physics is different. Physics cannot be unlocked until at least the summer vacation. This also means that the provincial competition must also rely on the knowledge and skills he has mastered.

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Qin Ke's independent study naturally focuses on physics. He started the problem-solving strategy one step earlier than Ning Qingyun to continuously exercise and improve his level of physics subjects.

The two study intensely and regularly. In their free time, they also watch Ultraman together and go for a walk outside.

The most frequent one is the campus of Huahai University of Science and Technology. Under Qin Ke's strong request, Ning Qingyun rarely wears school uniforms when the two of them are alone anymore, so the two of them walk hand in hand on the university campus, and they look a bit alike.

Although the freshman couple who just entered college attracted attention, no one was too surprised.

What makes Qin Ke most happy is that he can feel that Ning Qingyun's attitude towards him seems to have changed since Valentine's Day.

I can’t tell you exactly, but he is more gentle and smiles more often in front of Qin Ke.

Sometimes Qin Ke would look up and meet her eyes, and then the girl would look away shyly.

And when the two of them went out together, when Qin Ke didn't hold her little hand, she would blush, and timidly reach out her hand to hook Qin Ke's finger.

She would also help Qin Ke take back the clothes he had hung out on the balcony, fold them one by one, and put them back in the closet.

Qin Ke was a bit lazy. He threw his clothes into the washing machine, and sometimes they were inevitably not clean enough. Ning Qingyun didn't say anything when he saw it. He just took it back and went to the bathroom to help him wash it carefully with his hands.

Dry again.

Ning Qingyun has begun to look like a girlfriend, but the girl refuses to even admit that the two are "best friends", let alone a further relationship. Qin Ke deliberately teased and teased her several times, and she turned red.

His face ignored him.

But Qin Ke is not in a hurry. To be honest, he enjoys this young and pure feeling now.

Besides studying, what Qin Ke spends the most time on is writing papers.

It was not until February 22, three days before the start of the second year of high school, that Qin Ke finally wrote the first version of the academic paper "Proving the Existence and Multiple Solutions of Nonlinear Fractional Differential Equations with Infinite Point Integral Boundary Conditions"

, and copied it to a USB flash drive, preparing to visit Professor Shi Cunyuan at Yuanzhou University.

When it came time to actually write this paper, Qin Kecai found that it was more difficult than imagined.

It was not a question of knowledge points. He spent only two nights writing the knowledge and proof steps involved in the paper, but the subsequent writing of the text was his headache.

The "scientific style" required for academic papers requires plain, rigorous, and concise writing. Qin Ke, whose original writing skills were not very good, repeatedly revised according to the "model essay" standards sent by Shi Cunyuan. Later, Ning Qingyun

Seeing him frowning as he wrote, he sat next to him and helped him figure out the words.

It took the combined efforts of two people and three or four days of free time to write the first version of the paper that relatively met the requirements of an academic paper.

Then he wrote the abstract, adjusted the format of cited documents, formatted the paper, and translated it into English... These non-academic steps kept Qin Ke busy for several days before he finally finished the first version.

paper.

Qin Ke couldn't help but sigh, writing a paper is indeed not easy.

Originally, Qin Ke wanted to include Ning Qingyun as a co-author, but Ning Qingyun did not agree.

Coming from an academic family, she understands the significance of these papers' signatures better than Qin Ke. She can't even read the paper. She just helps figure out the words, translation, and typesetting. How can she sign her name?

Seeing that her attitude was unprecedentedly resolute, Qin Ke stopped trying, so the first author only wrote the word "Qin Ke".

As for why he had to use a USB flash drive instead of sending it directly via email, Qin Ke felt that it was a matter of attitude and sincerity.

Although Professor Shi is very nice to him and appreciates him, Qin Ke himself can't be too proud. Just send an email and ask a respected old professor to help you revise your paper? Do you really take yourself too seriously?

Anyway, Qin Ke couldn't do such a random thing, and he didn't have such shamelessness. Not to mention that Shi Cunyuan was still a teacher he respected very much. They hadn't seen each other for half a month, so it was time to contact him and establish a relationship.

It just so happened that he also wanted to ask about the selection status of the national team, and it was estimated that the results would be out soon.
Chapter completed!