Future library
Chapter 67 Curve Problem (1)
The airship is like an ultra-luxurious air yacht. It is faster than a ship, has more space than an airplane, and of course is more expensive. Even for a star warlock, it is a high-level one. Luxury.
The interior of the boat is luxuriously decorated. The wall curtains are made of silk and silk, covering the entire surface. The floor is covered with a thick wool carpet, and the soft fur covers the feet. Low tables made of precious furs such as cowhide, deerskin, and bearskin are randomly locked on the edge of the corridor for people to take a break and talk temporarily. More famous paintings and calligraphy are framed and stapled in conspicuous places. Considering the weight and factors, wooden or stone materials are rarely used on the ship, but after reasonable design, it will give people a solid feeling, which can even be regarded as Research in psychology.
Cheng Jinzhou went up one level and found the captain's lounge in the back cabin. The door was closed like other rooms. Xiao Cheng knocked on the door hesitantly and then asked: "Warlock Liu Kuangxing?"
"Jinzhou." Liu Kuang's slow voice came from inside, and the door opened silently.
In the room, Warlock Wang Ling Hexing and Warlock Liu Kuangxing were both present, each holding a quill pen and actually doing calculations on the whiteboard.
Cheng Jinzhou said in surprise: "You are starting to study now?"
Warlock Liu Kuangxing did not look back and said with a meaningful smile: "Time waits for me. At any time, you have to climb to a higher point to better appreciate the scenery below."
If it were two or three days ago, Cheng Jinzhou might have just smiled and fooled him, just like in his previous life. Playboys can always find the shortcut to Zhongnan, but when they can't find it, they often have no way out. As for now, having seen the great power of power and the loss of dignity without power, Cheng Jinzhou did not dare to hesitate any longer.
However, a dude is a dude after all. He thought about the idea of forging ahead, but he didn't take any physical actions. He just looked at the two star warlocks drawing and writing there, and he didn't even have a clear sense of direction - in fact There is nothing that he can study: he has either never learned mathematics at the medieval level, or has only a partial understanding of it, which is difficult to copy. There is no problem in using modern mathematics, and it is far beyond the ability of a cheating doctor to reproduce the verification process. Ability category; modern mathematics is the focus of his study, but it is barely 60 points. If he wants to research something new on his own - that is what Dr. Cheng's father and Dr. Cheng's mother do, not him as a cheating doctor accessible areas.
Perhaps, growing up quickly is what is needed most, Cheng Jinzhou thought strangely in his heart.
Seeing that he was idle, Liu Kuang simply threw him a pen and said, "You want to try too? Xiang Xin is not here, so we are working slower."
Cheng Jinzhou waved his hands repeatedly and said, "I'm just here to thank you."
He was a little afraid to actually go into battle. Even if he was doing the simplest questions, the simplified process, reaction speed, and mastery of formulas would all affect his speed on the spot. Cheng Jinzhou was worried that his secret would be revealed in two minutes.
Liu Kuang thought he was being modest, shook his head and said with a smile: "Thank you already. If you really want to say thank you, just help me draw the picture."
As he spoke, he turned around and said, "We are going to segment this graph now. Jinzhou, just try to find its extreme value and range."
What is being studied is the trajectory of graphics, which is a relatively elementary form of analytic geometry. Fortunately for Cheng Jinzhou, Dashun Dynasty, or Warlock Liu Kuangxing, chose to derive equations from trajectories instead of studying equations first and then deriving trajectories. The former was Descartes' research. direction, the latter being Fermat’s research direction. In comparison, Fermat's thoughts are more natural, closer to ancient Greek thought, and have a strong classical color, while Descartes is slightly deviant, but his work is also more groundbreaking - it turns out that Descartes' influence on the development of mathematics His contribution is greater, so in this regard, students mostly use Descartes as a model for research, and the same is true for Cheng Jinzhou.
Perhaps it is precisely because the astrologers do not agree with classical Greek mathematics such as Euclidean geometry that they are more able to develop according to their own needs, which can be regarded as getting into the category that Cheng Jinzhou is familiar with. If Liu Kuang and others followed the On Fermat Road, Xiao Cheng could only pretend to have amnesia except for being stunned and having a stomachache.
Dr. Cheng Da held the pen and glanced at the progress of Warlock Wang Ling Hexing with his right eye. He slowly calculated the extreme value. He didn't dare to get ahead or fall behind, even though it was very painful. Fortunately, the problem was relatively simple, and he deliberately ignored it. Go through the calculation steps and try to get the answer as directly as possible to avoid being discovered with ideas and calculation methods that are ahead of the times.
Liu Kuang did not notice this problem, but asked intermittently while processing the entire graphic: "I have already submitted your results on the balance design to the association for you... and wait until they are approved. After that, there should be a response... You still have 6 contribution points to reach the level of a one-star warlock... Don't worry, after all, someone has to use your results, and they need to complete the research and submit it to the association again... There won’t be much contribution to the association in a short period of time, everyone writes very slowly...but a 1-star warlock only has 10 points..."
He was remembering to say one sentence after another. If he was thinking or calculating, he would pause for dozens of seconds. He spoke for five or six minutes in just one sentence. Cheng Jinzhou's neck felt sleepy while listening, but he was just pretending to be calculating. He knows best the time and energy it takes to write a mathematics paper. In fact, relying on plagiarism to complete an inferior mathematics paper will also waste a month of guild CDs. How many people can read his results report and Not to mention, after reading the report, he still needs to use it. If he can use it, he must be able to write a paper recognized by the Star Warlock Association. Only in this way can he increase his contribution. After such a selection, the number will naturally be very small. If it weren't for Warlock Liu Kuangxing's introduction last time, he wouldn't have been able to easily obtain 4 points of association contribution.
Therefore, without Liu Kuang's explanation, Cheng Jinzhou did not focus on obtaining contribution points from the association. This must be a long-term work. Once you persist, you will have high profits, but it is very unrealistic to make short-term profits.
In about 10 minutes, Cheng Jinzhou completed the extreme value calculation of a partial function, hung it on the whiteboard and handed it to Liu Kuang for synthesis. The latter took a second look and then praised: "Yes, some parts are handled better than Xiang Xin's, but the process is too simplified."
As he spoke, he frowned and said, "Your way is a bit too..."
"It's not formal, right? I learned it myself, so..." Cheng Jinzhou explained the not-so-genius things in a genius tone.
Liu Kuang nodded noncommittally, frowning and said: "Cheng Jinzhou, do you think it makes sense to find the maximum and minimum values of a curve?"
This sentence is not a casual question. Although he asked Cheng Jinzhou to do the maximum and minimum values, whether it should be done and whether it makes sense is another question, and it is a very important question.
Cheng Jinzhou was speechless for a moment, not knowing how to answer. This is a famous public case in the history of mathematics. Descartes insisted that there is an essential difference between "straight" and "curved" and believed that only straight lines have definite values. Therefore, he rejected any exploration to find the length of curves and vigorously attacked Fermat's maxima and minima. , thinking that it violates strict deductive reasoning - there is no Descartes among the Star Warlocks, but the same question will still be raised, just like after people know the result of four times five, they still want to know the result of four times six Same.
For astrologers, certain numbers are quite useful. The value of curves often lies in calculations. If you insist on the distinction between "straight" and "curved", you will give up the practicality of analytical geometry. Liu Kuang expressed Cheng Jinzhou was even more confused than he expected, because he was following Descartes's route, but he unconsciously had to solve problems in a way similar to Fermat's. Although there were no Fermat and Descartes in the Great Xia Dynasty, there were supporters and opponents. This kind of animal will always live on the same soil.
"I'm not sure." Cheng Jinzhou didn't even dare to shrug.
Liu Kuang actually did not expect Cheng Jinzhou to solve such a theoretical problem. He just stretched his waist and said: "At this year's association, Warlock Jiang Huangxing is probably going to attack."
"Is he also a fourth-level star warlock?" Cheng Jinzhou asked carefully. Creatures called fifth-level star warlocks are extremely rare. According to the level of the Great Xia Dynasty, fourth-level star warlocks are the top.
Wang Linghe echoed: "Is he a royal star warlock, a fourth-level star warlock, or a four-star warlock."
The higher the Star Warlock's star level, the more valuable it is. A second-level Star Warlock may be more stylish than a two-star Warlock, but when it reaches level 3 or 4, it is often not as valuable as a Star Warlock of the same star level. Except for a few people , Star Warlocks with high star levels often have high levels. Warlock Liu Kuangxing is a fourth-level star warlock and a three-star warlock. It can be said that he is somewhat behind in terms of theoretical star magic.
The high-level struggle among the Star Warlocks was beyond the understanding of a novice like Cheng Jinzhou. He could only laugh twice and said: "Warrior Liu Kuangxing will definitely win."
"I hope so." Liu Kuang pursed his lips and said in a very confident tone: "If we can occupy the commanding heights on this issue, I think it will not be a problem to become a four-star warlock in the next term. Cheng Jinzhou, are you interested? "
"ah?"
"I need a larger team to complete these tasks." Liu Kuang tapped on the whiteboard: "You also want to learn astrology systematically. Most of the astrology mages in my team have undergone formal training."
Except for freaks like Cheng Jinzhou, there are probably very few star warlocks who have not undergone formal training. Cheng Jinzhou raised his eyebrows and declined, "I can't help you much."
Ever since he joined Liu Bin's transport department, warlock Liu Kuangxing seemed to have been trying to get him on the ship. The more so, the less he dared to agree.
Warlock Liu Kuangxing was also familiar with his temperament and did not force him. He just put on a new whiteboard and said: "Let's move on to the next proposition."
It seems that he prefers to create fait accompli.
As long as he doesn't get involved in some complicated whirlpool, Cheng Jinzhou doesn't mind getting closer to a few star warlocks. When he arrives in the capital, this relationship will probably be his only reliance.
Time always passes very quickly when starting to answer questions, especially the process of using knowledge. If it is smooth and smooth, it is quite pleasurable. Liu Kuang would not give Cheng Jinzhou difficult parts. In the initial stage of research, many of the contents were things Cheng Jinzhou had learned step by step, and he could do them extremely smoothly.
When Xiang Xin returned to the cabin, she found that she didn't have to do anything anymore, so she had no choice but to help the three of them. Her understanding of mathematics and physics could be regarded as an excellent and serious freshman, and her vision was perfect. It cannot be compared with Cheng Jinzhou. What's more, we are in the new primary stage of analytic geometry.
Cheng Jinzhou sighed while doing it. The mathematical development of the Star Warlocks was too unbalanced. They studied a lot of trigonometric functions and practical geometry, but few people touched other theoretical contents. It was also a loss for him because he was a theoretical physicist. A Ph.D., if replaced by a Ph.D. in Mathematics, would make me angry, anxious, and frustrated to the point of death.
After an unknown amount of time, the servant knocked on the door gently. After receiving Liu Kuang's response, he opened the door and said, "Masters, lunch is ready."
"What are you eating today?" Xiang Xin was bored to death and asked quickly.
"Chicken sauce cod, iron-fired thin lamb chops, wine-flavored dumplings and assorted sukiyaki, and two bottles of sake." After the servant knelt down to report, he walked backwards out the door. The space on the airship was limited, and the rules had also changed. .
"My chef makes very good thin lamb chops, try it." Liu Kuang stretched his waist, stood up and said with a smile: "The lamb chops are all taken from lambs of about 20 kilograms, as long as the middle one is Three ribs, with a little fat on the edges. Once the fire is over, the oil is almost completely burned, but a little bit is wrapped around the meat, making it very tender."
"My mouth is watering just talking about it." Cheng Jinzhou said politely.
"It's not easy to cook on an empty boat. The dishes have to be prepared below. So it's most difficult when traveling long distances."
Cheng Jinzhou couldn't help but want to slap his forehead after hearing this. The speed of this airship is a bit slow, but it travels absolutely smoothly. The comfort level is at least as good as that of private jets in later generations. Even for long-distance flights, it is more comfortable than ordinary luxury mail ships. Look. The fourth-level star warlock is also a picky master.
Xiang Xin packed up the whiteboard beside him. When Cheng Jinzhou was ready, he took out a small silk bag from under the table and handed it to him and said, "This is today's Cheng Yi. Please accept it."
Classmate Xiao Cheng took it without knowing why. His hand felt heavy and he couldn't help but wonder: "This is..."
"The star warlocks who participate in this kind of discussion are all under the control of Cheng Yi." Xiang Xin narrowed his eyes and said, "The Shu Xiu I gave you came from here."
Wang Linghe and Warlock Liu Kuangxing both nodded to him with a smile and walked out.
Cheng Jinzhou himself fell behind and poured out the contents of the silk bag on the table. There are exactly 4 small silver ingots. There is no need to weigh them with your hands. Just from the pattern twisted out from the top, you can tell that they are standard Kuping silver - the silver stored in the imperial court's inventory. The standard 10 taels are usually only used. For large-value transactions, they rarely circulate between markets, so there is less wear and tear.
If it is within the normal food price range, 4 taels of silver can read 10,000 words, and 40 taels of silver can read 100,000 words. The daily salary can just buy a book from the library. If the library books are regarded as equivalent, he The daily salary is equivalent to about 30 yuan. Calculated on 20 days per month, the salary is 600 yuan. In a small town like Shaonan, it is really a living standard, which is very similar to the situation.
Of course, 80 taels of silver per day was still very scary in the Great Xia Dynasty, and the monthly income of 1,600 taels of silver was more than the income of most shops. Cheng Jinzhou was secretly dumbfounded. It seemed that a star warlock without a level seemed to be quite wealthy. As a guy valued by a fourth-level star warlock, it was difficult for him to understand the life and mentality of a low-level star warlock.
…
Niaoyu: Let’s merge the two chapters. I couldn’t complete the update yesterday, so I’m very sorry.
…
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