Section 327 Advanced Mathematics

Style: Historical Author: braggartWords: 2968Update Time: 24/01/11 23:20:12
Today is another day to teach Feng Shan about discrete mathematics. Set theory, graph theory, mathematical logic, Boolean algebra, group theory...until the later automata theory, these contents were not learned very well by Vonn in the original time and space. He had failed in abstract algebra before, but now more than ten years have passed. , it is really difficult to pick it up and teach it to others.

But no matter how difficult it is, I can only bite the bullet and tell it in person. Although there are still a few elders with computer science background in the Senate, Feng Shan cannot be sent to others to learn. Firstly, his professional level will be greatly questioned; secondly, Feng Nuo also really doubts that they are no better than himself in this area; thirdly, Feng Shan goes to a fat house alone. He received one-on-one tutoring lessons from the IT veteran... Feng Nuo quickly shook his head and expelled the unpleasant images from his mind.

In the end, he just spent a few weeks finishing several basic discrete mathematics courses at the undergraduate level. He also considered the order and system of setting up these courses and prepared a training plan.

A few days ago, Dr. Zhong came over and proposed a new card reading mechanism and an independent digital wheel driven by an electric/escapement fork. The new digital wheel solution enables tabulating machines to count multiple digits while ensuring the correctness of carry.

He also proposed that the card should have positioning holes on the top and bottom, just like the perforated 80-column printing paper. A pair of pressed round rollers are used as a mechanism to contact the card. Metal contacts are arranged on the round rollers - this ensures that the holes on the card are aligned with the contacts through the positioning holes at the upper and lower ends. Because the card and the contact roller are in rolling contact. It is subject to pressure and slight friction without scratching the contact mechanism, which is beneficial to the life of the card and contacts. This avoids embarrassing situations where cards with high statistics/query frequency are very susceptible to damage - as was the case during the intensive testing of the tabulating machine last month.

While they were chatting, Feng Shan had been waiting at the door. Zhong Lishi felt strange, and after asking Feng Nuo, he found out that he had already started giving Feng Shan a discrete mathematics course, when it was supposed to be class time. So Dr. Zhong immediately listened to one of Feng Nuo's lectures with great interest.

Unexpectedly, after listening to the class, he suddenly became very excited. Not only did he praise it, he also said that it was an important exploration of higher education in the new time and space, and asked Feng Nuo to sort out the ideas and related materials for preparing these courses. Finally, Dr. Zhong emphasized that current higher education must combine the cutting-edge topics of technological recovery to set up majors, and asked Feng Nuo to pay attention to this when introducing his experience - he emphasized the word "technology" very strongly.

It is indeed true that Feng Shan is one of the very few naturalized citizens who has access to higher education. From this perspective, Feng Nuo's work is indeed exploratory. As for whether such progress is suitable for the abilities of ordinary naturalized people, he does not intend to consider it. For at least twenty to thirty years, only the brightest naturalized citizens will have access to higher education. All of these people are elites among the elites, and they basically don’t need to worry about whether they can keep up with the progress. Just like Feng Shan, her speed and ability to learn knowledge are extremely amazing. If she doesn't understand something, she will study and think about it all day and night. It's not like when Feng Nuo and the others went to college, they mainly played and studied.

Such an amazing receptive ability makes Feng Nuo very hard to prepare for these theoretical courses. Each one-hour course usually takes 7-8 hours to prepare. Some theorems that cannot be proved have to be vaguely skipped or not explained for the time being. Occasionally, they can be left to Feng Shan as homework, maybe she can understand the proof herself.

There are also endless other worries mixed in. A typical example is the conventional theorem names.

In slightly more advanced mathematics and physics subjects, there are many theorems and formulas named after people. The explanation of their origin is a big problem. This problem is not obvious in the current basic education of national schools in the Senate, and there is no systematic solution. However, several veterans who taught calculus to Feng Shan were already complaining. They had told Feng Nuo several times in "academic exchanges", and now Feng Nuo also experienced such troubles.

It is obviously impossible to change all the names. The elders are generally confused about these theorems and formulas, and if they change the names beyond recognition, I am afraid that these disciplines will be lost. Therefore, the general policy of the Senate is to try to say that these people are "Australian sages". The Truth Office has issued a general guideline, requiring that for "professional terms that cannot be changed with personal names," those with names that look like Chinese names should be described as Chinese as possible.

But no veteran has the energy to systematically sort out this matter - in fact, most of the leading veterans of the education sector are only primary and secondary school teachers. This is why Dr. Zhong strongly wants to place higher education under the Ministry of Science and Technology. As a result, several veterans who taught advanced mathematics to Feng Shan often explained it randomly.

Once, Feng Nuo heard Feng Shan say that the senior lecturer told her that Lagrange was a Mongolian; Euler, whose surname was Ouyang, was a descendant of Ouyang Xiu; Cauchy was the third of four brothers, and the second brother was As a criminal policeman... Feng Nuo suddenly became furious and almost led his students to come to the door for comment.

However, he himself can only start talking nonsense now. Today he plans to say that Cantor's surname is Kang and Russell's surname is Luo.

As for why some people have weird names that are not Chinese, finally there is the "Guidelines for the Interpretation of the Names of Foreign Personnel in Various Materials" in the "Historical Guidance Notes on Australian Travel in the Song Dynasty" issued by the Truth Office as a guide, so that the secret will not be exposed. .

Feng Shan, Qian Yuzhi, Li Janai, and the two young elders from the academy were already sitting in front of the small blackboard in the office.

After Dr. Zhong spread the news that he planned to systematically teach some basic courses in discrete mathematics, the Institute of Learning specially designated two young veterans with "mathematical talent" to study these courses. This made Feng Nuo suddenly realize that he had been stuck in the computer room for a long time and had contact with too few naturalized people. And he is also a "doctor". With such a level, when he travels across the empire in the future, there will be at least three or four schools named after him. It would be a pity if there is no inheritance.

Then he thought of Qian Yuzhi and Li Janai, two young girls who had just graduated. Although they had similar backgrounds - a vocational school and a liberal arts college, after all, they were already talents cultivated by formal education that was rare in this time and space. Teach the mind of two apprentices.

The two of them are not very old, so there should be room for shaping. Moreover, Li Janai is quite savvy and can be trained in software theory; Qian Yuzhi is also quite diligent, and maybe he can learn about system structure and application technology. . He asked Feng Shan to take some time to tutor the two of them in some high school and middle school courses. When he gave Feng Shan lectures, he also tried to let them sit in. However, Feng Nuo knew clearly that discrete mathematics was still very early for them, and most of them were just playing the piano to others. .

The facts were not far from Vonn's estimate. After listening to this lesson, Li Janai felt that his mind was very confused.

Now she and Qian Yuzhi have also called Feng Nuo "teacher". Feng Nuo also said that after the Chinese New Year, he would discuss with the Tiandihui to see if they could all be officially transferred over. Qian Yuzhi was still a little ignorant and didn't know the mystery of it, but Li Janai knew that this was an excellent opportunity.

Being transferred to the chief's side and becoming the chief's "student" is the best future for the chief besides being the "life secretary"!

However, after listening to several classes, she understood that this student was not that easy to be a student. And now the teacher gives them separate lessons, which is the so-called "different mathematics".

The math is really weird, it doesn't really work out. After a class, the blackboard was covered with strange graffiti. Senior Sister Feng Shan said that those characters that look like pinyin are called Latin letters, but they have no tones; other characters that look like ghost symbols are called Greek letters; in addition, there are many symbols that have never been seen before.

That's okay, the content seemed to be understandable at the beginning, and it didn't even use decimals, fractions, and multi-digit multiplication and division that she found a bit difficult. Once the teacher said seriously that at least two of the 13 people were born in the same month, and she almost laughed. Is this also called mathematics?

But then, the teacher immediately assigned an assignment: "If 101 Fubo Army soldiers stand in a row, then at least 11 of them can take a step forward to form a queue from small to large according to height, or form a queue from small to large according to height. Queues from big to small.”

She was immediately confused and didn't know how to think about this problem. Fortunately, senior sister Feng Shan didn't have the solution, let alone that idiot Qian Yuzhi. They looked at the teacher together, but the teacher only took a few minutes to prove this proposition. Afterwards, Li Janai spent an hour looking at the notes he had taken before he finally understood the proof process.

Another time, the teacher said that a fake map could use up to 5 colors to distinguish all the chief ministers, and it was clearly proved. Under their admiring gazes, Elder Feng seemed a little carried away and threatened that he could actually prove that he could draw with four colors, but the blackboard was too small to write on.

However, recently, what the teacher said has become more and more outrageous. She only felt cloudy and foggy during class, and she couldn't remember much after class. In this class, she only vaguely remembered the teacher talking about whether the barber would give her a haircut. It seems that the set of natural numbers is an infinite and countable set. Just kidding, since it is infinite, how can it be countable? The instructor of the training class said that the power of the Senate is infinite. Some students asked what infinity is. The instructor replied that infinity means endless and innumerable. The teacher also talked nonsense about how there are as many natural numbers as integers. ——Those who have been to elementary school will know that integers obviously have many more negative numbers than natural numbers!

--------------------------------------------

Next update: Volume 7 - Guangdong and Guangxi Strategy Chapter 54