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, Feng Nuo did not learn these contents very well in the original space and time. Before,
I failed abstract algebra, but now that more than ten years have passed, it is extremely difficult to pick it up and teach it to others.
But no matter how difficult it is, I can only grit my teeth and tell it in person. Although there are still a few elders with computer science background in the Senate, you can't send Feng Shan to others to study. As a result, your professional level will be greatly improved.
Secondly, Feng Nuo also really doubted that their level in this area was no better than his own; thirdly, Feng Shan went alone to receive one-on-one tutoring lessons from a fat house 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, and then 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 solution driven by an electric/escapement fork. The new digital wheel solution enables the tabulator to count multiple digits while ensuring the carry.
Correctness.
He also proposed that there should be positioning holes on the top and bottom of the card, just like the 80-column printing paper with holes. A pair of compacted round rollers should be used as a mechanism to contact the card. The round rollers are arranged with metal contacts - this can
Ensure that the holes on the card are aligned with the contacts through the positioning holes at the upper and lower ends. Since the card is in rolling contact with the contact roller, it is subject to pressure and slight friction without scratching the mechanism at the contact point.
There are benefits to the longevity of the points. This avoids the embarrassing situation 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 talking, 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, and it was supposed to be class time. So Dr. Zhong
I 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 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 this progress is suitable for general naturalization
He does not intend to consider the ability of naturalized civilians. At least within twenty or thirty years, only the smartest naturalized civilians will be able to access higher education. These people are all the elites among the elites, and there is basically no need to worry about whether they can follow them.
It’s a question of 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 were in college, they played
Mainly, study is supplementary.
Such an astonishing receptive ability makes Feng Nuo extremely hard to prepare for these more theoretical courses. Each one-hour course often requires 7-8 hours to prepare. Some theorems that cannot be proved have to be vaguely skipped or temporarily ignored.
Instead of explaining it, you can occasionally leave it 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.
Plan. 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 senators are generally confused about these theorems and formulas, and if they change the names beyond recognition, I am afraid that these subjects will be lost. Therefore, the general policy of the Senate is to try to say that these people are "
"Australian Sages". The Office of Truth has issued a general guideline, requiring that for "professional nouns with personal names that cannot be changed", those with names that look like Chinese names should be said to be Chinese as much as possible.
But no veteran has the energy to systematically sort out this matter - in fact, most of the main 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 system. So several people gave Feng
The veterans who teach advanced mathematics tend to explain 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 was immediately furious and almost led his students to come to the house 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, we finally have the "Guidelines for the Interpretation of Foreign Personnel Names in Various Materials" from the "Historical Guidance Notes on Australian Tours in the Song Dynasty" issued by Zhenyi as a guide, so that the secret will not be exposed.
.
Feng Shan, Qian Yuzhi and Li Janai, as well as the two young elders from the academy, were already sitting in front of the small blackboard in the office.
After the news that he planned to systematically teach some basic courses in discrete mathematics was spread by Dr. Zhong, the Institute of Learning specially designated two young veterans with "mathematical talents" to study these courses. This made Feng Nuo suddenly discover that he had been staying in the computer room for a long time.
Inside, he has come into 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 talents cultivated by formal education that was rare in this time and space.
Teach two apprentices how to think.
The two of them are not very old, so there should be room for improvement, and 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 his best to let them observe. However, Feng Nuo knew in his heart that discrete mathematics was still very early for them, most of them.
Play the piano to the cow.
The facts were not far from Feng Nuo's estimation. 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 New Year, he will discuss with the Tiandi Society to see if they can all be officially transferred. Qian Yuzhi is still a little confused and doesn't know this.
The secret behind it, 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 learn. And now the teacher gave them separate lessons, which was called "different mathematics".
This mathematics is indeed very strange. It does not calculate very well. After the first class, the blackboard was full of strange graffiti. Sister Feng Shan said that those characters that look like pinyin are called Latin letters, but they have no tones; there are other characters that look like ghost symbols.
, called the Greek alphabet; in addition, there are many symbols that I have never seen before.
That's all. At the beginning, the content seemed to be understandable, and she didn't even use decimals, fractions, and multi-digit multiplication and division, which she found a bit difficult. Once the teacher said seriously that at least two of the 13 people were the same.
She was born in April, 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.
Queue from big to small.”
She was immediately confused and didn't know how to think about this problem. Fortunately, senior Feng Shan couldn't figure it out, 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 Ganai 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. In the eyes of several of them with admiration, Elder Feng seemed a little carried away and threatened to
In fact, he could prove that he could draw with 4 colors, but the blackboard was too small to write on.
However, recently, what the teacher said became more and more outrageous. During class, she felt cloudy and could not remember much after class. In this class, she only vaguely remembered what the teacher was saying about whether the barber would give her a haircut.
Thing. 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 once said that the power of the Senate is infinite. Some students asked what infinity is, and the instructor replied
, infinity means there is no end and can’t be counted. The teacher also talked nonsense about how there are as many natural numbers as integers. - Anyone who has been to a junior high school will know that integers obviously have many more negative numbers than natural numbers!
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Next update: Volume 7 - Guangdong and Guangxi Strategy Chapter 54