As the project continued to run non-stop and became more intense, and Wu Tong was away for three months, his family members were worried about him. After he came back, they did not arrange any immediate projects for him.
I spend half a day at school to check on the progress of the institute's team members' project development and results absorption, or to give guidance to new students.
Wu Tong spends the rest of her time trying to make more time to spend with her family. Her family is her warmest harbor, and they are always on her mind wherever she goes. Sometimes, Wu Tong feels that her family can't bear to leave her, but in fact, it's she who can't live without them.
If it weren't for the complexity of the research project and the two projects running concurrently, Wu Tong would have occasionally considered returning home. However, deep within the research institute, she was busy with a crucial project and couldn't afford to dwell on it. Going back would have caused too much trouble, so Wu Tong chose to finish the project as quickly as possible and return, rather than traveling frequently and causing more trouble for the security department.
Her family didn't need her constant presence, so when she had some free time, Wu Tong would study and research the ABC conjecture in number theory and long-pending new energy issues. She didn't treat these tasks as tasks she had to solve, but rather as a way to relax and enjoy her life, something she could start and finish anytime, anywhere.
For any constant ε greater than 1, there exists a constant C(ε) such that for most positive integer triples (a, b, c) such that a + b = c, c < (rad(a * b * c))^ε. Here, rad(n) denotes the product of all prime factors of n. The ABC conjecture was first proposed by Joseph Oesterlé and David Masser in 1985.
To put it more understandably, suppose we choose a=2, b=3, and c=5. Clearly, they satisfy a + b = c. We calculate their product: a * b * c = 2 * 3 * 5 = 30, and the product of their prime factors: rad(a * b * c) = rad(30) = 2 * 3 * 5 = 30. According to the ABC conjecture, we have c < (rad(a * b * c))^ε, which means 5 < 30^ε.
For any chosen constant ε, there exists a sufficiently large C(ε) such that the inequality holds.
Wu Tong has always felt that mathematics is a very interesting field, especially the field of pure numbers. In this world of numbers and symbols, people who don't understand mathematics may see them as freaks, boring, and incomprehensible.
However, Wu Tong truly found joy in this world. Perhaps, when she first approached mathematics, she wasn't fully committed to graduate school, but simply wanted to improve her grades.
When she wanted to take the Gaokao early and prepare for direct admission to the university, she encountered math competitions, which became her starting point for her journey into mathematics. Focusing on math competitions, she began studying university-level math in advance, delving deeper into the field, and becoming intrigued by the wonders of mathematics. Her interest grew into a liking for it, and then from liking for it to a passion for it.
Wu Tong feels she's quite serious about living up to this saying: "It all started with interest, grew out of passion, excelled at focus, and finally persevered." Mathematics has become an inseparable part of her life, her most fascinating lifelong pursuit and her most adept tool. What she learns is hers, irreplaceable and irreplaceable.
The sun is pouring down. Find a place where light and darkness meet. Take a book and move to a recliner or a single sofa. Find a comfortable position. Lean back and look out. You will see the bright sunshine, all things are full of vitality, and the vivid scene of tall buildings standing tall.
The room is equipped with central thermostat control, and the suitable temperature takes away the early summer heat. In her hands are the materials for her study and research. She studies in a lazy manner and enjoys learning in comfort. Beside her are her two loving elders, each busy with their own things. She can't distract herself from chatting with them. The weekends are filled with all the family members, and the happy and relaxing study life is really nostalgic.
What really made Wu Tong abandon her comfort zone was a sudden recollection of a rumor. It seemed that Japan's ace mathematician, Mochizuki Ichi, had claimed in August of this year that he had proved the ABC conjecture, claiming that this theory could be used to prove several other famous conjectures, including the ABC conjecture. His paper had been published in a mathematics journal for reference, and many people began to study his theory.
Because the proof was obscure and difficult to understand, many mathematicians were skeptical about his article. Therefore, until the end of her memory, she had never heard the news that the ABC conjecture had been verified and truly proved.
This piece of news had been piled up in an unimportant corner of her memory, classified in a section that was of little use. If she had not delved deeper into the ABC conjecture, she would not have remembered it. In the information age, many people open their browsers and pick out information without paying much attention to it. They basically just glance over it and throw it into the corner of their minds as a rumor.
However, regardless of whether this rumor is true or false, and whether Wangyue Mouyi has really proved this conjecture, Wu Tong thought that as a half-angry young person, she would rather fight for her reputation than for money, so she must be one step ahead and publish this proof before August, so that the honor of this proof will continue to belong to China.
August 1st is also August, and the end of August is also August. To ensure everything is safe, Wu Tong decided to use her birthday as the target. It is just right, as a gift she will give to the world this year to share the beautiful moments of her birth.
Thinking about it this way, it’s quite refreshing.
As for whether Japan would be angry because of this, Wu Tong said that if the secret research was leaked, she would have been wanted internationally many times! Anyway, she was destined to step out of the beautiful country in her life, and being refused passage there was nothing to her.
Therefore, Wu Tong immediately decided to do it. Instead of letting the world argue endlessly over a negative proof and letting them indulge in a dream of sensationalism, she would give the world a more affirmative answer and try to put an end to this problem.
Spending a month and a half researching a major problem of the millennium might be seen by others as a sign of Wu Tong's arrogance and ignorance, or as being too self-righteous.
Even Wu Tong himself felt that it was quite a challenge. However, it was only a difficult challenge, not an unachievable feat.
Trying to solve a problem that others might not even figure out in a decade or a lifetime in just a month and a half wasn't due to Wu Tong's arrogance or ignorance, nor was it due to his impulsiveness. Rather, it was due to Wu Tong's own deliberate attempt to gather and study knowledge in this area since last year.
Opportunities always come to those who are prepared.
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