Scholar’s Advanced Technological System

Chapter 389 Proof of Horn Valley's Thoughts

Hearing the praise, Vera's mouth curled with a happy curve.

For her, it was undoubtedly the best compliment in the world.

Standing next to the ark, she said softly.

“Your guess is correct, Horn Valley's guess is a mathematical problem, but also a compound analysis problem...”

As early as 1994, L.Berg and G. Meinardus demonstrated that the 3n +1 guess equates to the function equation h (z ³) = h (z ^ 6) + {h (z ²) + λh (λz ²) + λ ² h (λ ² z ²)} 3z (where λ = e ^ (2πi3)) in the unit disk {z: | z | 1} resolves the function in the form of h (z) = h0 + h1z (1 − z). (h0 and h2 are complex constants)

On this basis, D.Schleicher et al demonstrated in 1998 that any whole function h (z) satisfies g (z) = z2 + (1 − cosπz) (z +12) 2 +1π (12 − cosπz) sinπz + h (z) sin ² πz: N ⊂ Φ (g).

Based on these two conclusions, Vera demonstrated the existence of the whole function h (z) by constructing a clever transcendent whole function, such that for each branch D in the above conclusions, where g (z) and Φ (g) contain a positive integer, z0 × D exists, so that {g ^ ok (z0)} ∞ k = 1 converges to 1.

So it's not hard to launch, Horn Valley guesses!

“Excellent proof...” smiled with comfort on his face, the ark saying from the heart, "Excellent surprise me. ”

From the summer of '16 until the end of' 17.

He was pleased to see that his students grew up.

It is also a pleasure to see that the theory of "group method” that I have constructed for the issue of additive mathematics has not stopped at Gothenbach's assumptions, not only that, but that it has been passed down to my students.

He now has some sense of what kind of emotion the system portrays as "joy”.

“... thanks to your pointers.” Bent the corner of his mouth, Vera humbly said, her eyes filled with gratitude.

Although she did the process, the whole proof line was provided by the Ark.

From her presentation at Berkeley at the beginning of the year to her final proof of working with Qin Yue and Hadi, all work revolves around this line of thinking.

She knows better than anyone how important these unheard of jobs are.

The Ark laughed, “Don't be modest, I'm just offering directions, running to the end of the line for you. ”

Paused for a moment, he continued: "… I suggest you contribute to the Mathematical Yearbook, but the editorial staff are on vacation these days, you can hang the paper on Arxiv first… I don't know, the editor of the Mathematical Yearbook will give up the rest of your vacation. ”

Hanging a paper on Arxiv as a preprint can play a role in the pit, but even if it doesn't, it doesn't matter. Horn Valley guessed it was popular in the 1980s and 1990s, but putting it in is not a popular research direction so far, and the probability of crashing is almost nil.

The Ark, of course, also has a little bit of its own selfishness in making this suggestion.

Based on his reasoning in resolving Gothenbach's assumptions, the system's principles for determining mission completion are based on the time of publication of the paper.

So just hang the paper on Arxiv and you're done.

After listening to the ark, Vera nodded seriously.

“I know, I'll do it right away. ”

The Ark laughed: “So that's it, as for the formula on the blackboard, I'll wipe it off for you... thanks for the gift. ”

Upon hearing this praise, Vera's face revealed a happy smile.

After a while, she suddenly lowered her head and her cheeks were slightly reddened.

“Professor. ”

Ark: “What's wrong? ”

Courage grew in her heart, and she raised her head and looked at the ark.

“I… can I make a wish for you? ”

“I'm not Santa Claus and may not be able to put what you want in your nightstand socks.” The ark made a joke, paused for a moment, and continued, "But as long as it wasn't anything against the principles, and I could do it, I would definitely help you. ”

“I…”

Vera just opened her mouth.

However, at this point, she suddenly realized that her own heart might be bothering him.

That almost reached the mouth, somehow couldn't say.

“I… want to read your PhD. ”

"Welcome," said the boat, smiling. Instead, if you suddenly want to change your mentor, it will strike me. ”

I got some comfort from that sentence, and Vera smiled a little weakly.

She sighed silently in her heart about her indignation.

Though I am more courageous now than I was two years ago...

But isn't it enough?

……

After a crazy day at Princeton Institute of Higher Studies, the ark returned home with a small gift from students and colleagues.

Gifts are not precious, they are small gifts up to $30, but they are light in value and expensive.

As for the pen he gave to the students, it was collected from the conference sponsors while he was attending academic conferences all over the world.

These gifts are equally priceless but memorable.

After putting these gifts away, the ark sat on the sofa by the fireplace, closed its eyes and sank consciousness into the system space.

Two lines of transparent text appeared in front of the translucent holographic panel.

[A. "Research on Even Coherent States of Q-Deformed Oscillator in Finite-Dimensional Hilbert Space”. Student: Wei Wen. Student participation: 25%. Experience Type: Mathematics, Physics.

[B. Horn Valley Speculation Topics. Students: Vera, Qin Yue, Hadi. Student participation: 70%. Experience Type: Mathematics.

By the time he got home, Vera would have finished the paper and uploaded it to ARXIV, fulfilling the requirements of the system. So the entries about Horn Valley guesses are also logged on the task list.

Although it is not known how the system determines who is its own student, it has to be said that it determines quite accurately.

Not only that, but it even quantifies their participation throughout the work.

“Is this a choice question? ”

Look at the two options on the screen, wrap your arms around the ark in front of your chest, and speak to yourself thoughtfully.

According to the system's description of the task, he can choose a paper submission task.

Determine the total reward experience based on the academic value of the proposition included in the topic, then multiply by the coefficient boost of student participation to calculate the final experience value.

In fact, it can be seen from the design of the task that the system wants him to cultivate more scholars who can carry out their research independently, so he is required to avoid direct involvement in the subject in the task.

In fact, the Ark is avoiding doing the same.

However, it now appears that even if he strives to avoid providing direct assistance to Vera, his contribution is judged by the system to be 30 per cent.

Because at the beginning, he set out a clear research direction for them, and a framework for the whole research idea.

And it was along his lines that they came up with the final proof.

The Ark was expecting the system to ignore this, but now it sees itself purely thinking too much.

“It really doesn't give me any space to drill. ”

Looking at the translucent holographic panel, the ark shook its head helplessly.

Nothing more, he reached out and selected “B” and in the dialog box that popped up afterwards, clicked the Confirm Submission button.

Soon, a light blue light swept through the holographic screen and a line of fantastically large words popped up.

Congratulations host, complete the task!