36. Hanon Fifty Hana
There is such a thing as a housing subscription system.
When a new apartment is built, it is a system that gives priority to the homeless to purchase an apartment.
When applying for a housing subscription, priorities are determined by considering various conditions, and the two most important conditions are the period of homelessness and dependents.
For example, the longer the period of homelessness and the more families you have to support, the higher the bonus points are given.
Past Life Yeong-mi and I were preparing to apply for an apartment, and I once talked about raising my mother as a paper dependent.
It was an attractive condition to add a whopping 10 points, but Youngmi shook her head.
At that time, Young-mi said, “I don’t want to profit from lies.”
“In my high school classmate, there is a kid who likes to step on other people with lies… I don’t want to be like him.”
I felt ashamed of Yeong-mi’s words, and Yeong-mi smiled and continued talking to me, who kept my silence.
“We don’t have a home, aren’t we without pride?”
* * *
After solving the problem, Youngmi raised her head with a bright expression.
“Wow! I did it again!”
I put my hands together and pretended to clap, and Youngmi said with tears in her eyes.
“Then why did you keep calling me a while ago?”
After a moment’s hesitation, I opened my mouth.
“Just, try the tangerines because they are so delicious.”
“what? It’s spicy… .”
Yeong-mi picked up a tangerine that I had peeled and put it in her mouth, and said with a wrinkled mouth.
“Five! Really tasty.”
“Is not it?”
While Youngmi smiled and nodded her head… .
I put the English and American workbooks back from page 241 to page 239.
If I help in this way and Youngmi wins the Olympiad… Young-mi’s pride won’t allow it.
* * *
After taking a picture with Youngmi with the podium in the background, I checked the time.
10:25 am.
After 5 minutes, Yoon Seok-yi hyung’s presentation begins.
The presentation location is room 311 in the same building.
My original plan was… When Yeongmi’s family returned home, she and her mother would watch Yun Seok-yi’s presentation and Professor Park’s speech at the closing ceremony of the conference.
However, Youngmi’s mother suggested that we have lunch together after walking around the campus for about an hour, and at her suggestion, my mother looked at me with a perplexed expression.
I told my mother.
“Mom, then, come take a look around the campus. I’ll be watching Yoon Seok-hyung’s announcement.”
“Isn’t that from afar?”
“It’s on the third floor of this building. After listening to Professor Park’s speech, I think it will be time for lunch.”
“Okay, so shall we meet again here at lunchtime?”
“Yeah, I’ll come down here to the lobby by 12 noon.”
Then Youngmi intervened.
“Jeong-ho, can’t I go with you too?”
After thinking for a while, Youngmi said.
“This is it, right? Are you going to Korea University once a month?”
ah… ! Come to think of it, Youngmi has been watching everything.
I know that for Youngmi, this is a secret, not a secret.
The deep-seated Yeongmi just didn’t ask me.
College of Science No. 311.
I entered the classroom just on time.
Yoon Seok-yi hyung started the presentation, and Yeong-mi and I sat quietly in the back seat of the lecture room.
＜Statistical study on non-obvious zero distribution of Riemann zeta function>
Yoon Seok-yi hyung’s voice, who started the presentation, was trembling badly.
It’s stage fright.
Seok-Yi Yoon started his master’s degree in August of this year.
It is not easy for a young graduate student to make a research presentation in front of numerous university professors.
So, many graduate students’ first conference presentations are often left as black history, but seeing Yoon Seok-i hyung nervous… It doesn’t seem that different from Korea or the US.
At first, even me was nervous and my hands were sweating, but as the presentation progressed, Yun Seok-hyung calmly continued his explanation.
The topic of the presentation was not much different from what I had previously explained to Professor Bosun Park.
However, Seok-Yi Yoon seemed to have done a really good statistical analysis.
When I first explained to Professor Park Bo-soo, the non-name zeros of the zeta function I found were only 800, whereas Yoon Seok-yi’s research used a whopping 250,000 zeros.
It wasn’t just that.
Seok-Yi Yoon also used as many as 20,000 eigenvalues of the Hermitian matrix made of random numbers for statistical analysis.
By the way, did you calculate the zero value of 250,000 visa names in just two months?
It was to the point of being stunned.
When I found the 800 non-name zeros, my home computer was running day and night all week… It takes 6 years arithmetic to find 250,000 zeros.
Even if you assume that you are using 100 computers at the same time… This is the amount of calculation required to run 100 computers 24 hours a day for a total of 3 weeks.
I don’t know how he found the 250,000 zeros, but looking at the results of the statistical analysis included in Yun Seok-yi hyung’s presentation… A clear correlation was confirmed between the non-obvious zero of the Riemann zeta function and the eigenvalue of the random number matrix.
After Yoon Seok-yi hyung’s presentation and the Q&A started, Professor Noh in the front row of the classroom opened his mouth with a hoarse voice.
“Did you even bring a supercomputer to the mathematics department at Korea University?”
Yoon Seok-yi, who looked very nervous at Professor Noh’s question, said.
“yes? that is… What are you talking about?”
“No, that we found 250,000 zeros of the zeta function… It doesn’t make sense. If I had even used a supercomputer, I wouldn’t know… .”
“Ah, that… I didn’t write a supercomputer. We used about 200 PCs in the campus computer lab to count each night.”
“Looking at the zero-point values I showed you, the number of digits… Wouldn’t it have been easier to calculate if we had used 1000 computers instead of 200?”
This is the part I also wondered about.
The 800 or so zero values I found were not very accurate.
For example, 32.9 or 37.6 are shown only to one decimal place, because these values are values found using the graph.
However, the zero-point values presented in the presentation by Yoon Seok-yi were up to 10 decimal places.
At Professor Noh’s question, Yun Seok-yi opened his mouth.
“First, I drew a graph to find the approximate zero value to one decimal place, and then I used the Newton-Raphson numerical analysis technique to obtain an accurate value to 10 or more decimal places.”
Only then did the old professor nod his head and say.
“Heh heh heh—. I’ve heard that they are doing math research using supercomputers in foreign countries, but seeing the results of this level of research with a PC… It’s weird, but it’s great anyway. By the way, did you say doctoral course?”
“no. Now I have started studying for my master’s degree.”
“haha–. Yes? Do you think your advisor paid great attention to the new research?”
At Professor Noh’s question, Yoon Seok-yi turned his gaze to me, smiled slightly at me, and opened his mouth.
“Yes, that’s right. From the research topic to the program to draw the zeta function… It is true that you paid a lot of attention to it.”
After the presentation, Yoon Seok-yi hyung came up to me and said,
“Jeong-ho, are you here?”
“Hello, brother. I really enjoyed the presentation.”
“Yeah, but… Who’s next to you?”
“ah… ! I came today with a friend.”
So Youngmi was introduced, and we left the classroom and went up the stairs to the small auditorium on the 5th floor of the building.
The closing ceremony of the academic conference was scheduled to be held soon in the small auditorium.
As I climbed the stairs, I said to Yunseok-hyung.
“Hyung, I have a question about what you announced earlier.”
“What?”
“You have a Hermitian matrix made of random numbers, right?”
What is a Hermitian matrix? .
A diagonal entry of a square matrix is a matrix composed of real numbers, and the imaginary parts of an upper triangular entry and a lower triangular entry are complex numbers with different signs.
Yoon Seok-yi hyung nodded, and I continued.
“When preparing the random number matrix, did you change the random number generator program to something else?”
“uh… ? that… Girl, how did you know?”
“I think you used three random number generators?”
Yoon-seok’s eyes widened at my question.
“What are you? That’s something the professor doesn’t know… .”
Among the presentations prepared by Hyung, there was an interesting graph, which visually showed the observed statistical relationship between the distribution of non-obvious zero values of the Riemann zeta function by section and the eigenvalues of the random number matrix.
The zero values drawn in this graph were divided into three groups, which, of course, were not clearly visible, but if you look closely, you can see that the distribution of the zero values per section has a specific pattern.
In response to my explanation, Yoon Seok-yi hyung put his palms together and said.
“ah… ! I finally know! So, if you change the zero value sample number, the covariance value changes little by little. I was worried it might be an error… .”
“If we divide and analyze the determinant eigenvalues from each random number generator, I think we can find the characteristics of the random number generator used.”
At my words, Yoon-seok-hyung’s expression changed to a very serious one.
“So, you mean you can trace back to the algorithm of the random number generator?”
I remembered the story that Professor Park Soo-soo had told me when he first mentioned Yoon-seok-hyung.
It is said that Yoon Seok-yi hyung is very interested in cryptography.
read at noblemtl.com
Now, Seok-yi Yoon’s question is… This means that the algorithm of the random number generator, which is the starting point of most cryptosystems, can be traced backwards.
I laughed at Yoon Seok-hyung’s question.
“Well, that would be difficult. still… If enough information is accumulated, then the story will be different, right?”
“It’s a different story, what do you mean?”
It can be somewhat controversial, but… .
The king of genius is, after all, John von Neumann.
Although Neumann’s official title was a mathematician, he made remarkable achievements in mathematics as well as in computer science, quantum mechanics, nuclear physics, biology, and economics.
Of course, he also made great achievements in cryptography and probability theory, and that is the first random number generation algorithm called the middle-square method.
After Neumann’s middle-square method, various random number generation algorithms have been developed so far, but there are only about 10 widely used random number generation algorithms.
This means that if you know in advance each pattern of these 10 random number generating algorithms, you can find out which algorithm the random number generator is based on.
Yoon Seok-yi hyung said in my explanation.
“Jungho, I feel like I have goosebumps all over my body right now.”