future library.

Chapter 67 Curve Problems (1)

An airship is like an ultra-luxury air yacht. It has faster speed than a ship, more space than an airplane, and of course a higher price. Even for an astral warlock, it is a high-level Luxury.

The interior decoration of the boat is luxurious, the wall hangings are made of silk as the base, and the silk is used as the side to wrap the surface.The floor is covered with a thick wool carpet, with soft fur covering the feet, and short tables made of precious fur such as cowhide, deerskin, and bearskin are randomly locked on the side of the corridor for people to rest and talk temporarily.There are even famous calligraphy and paintings that are mounted and bound in conspicuous places. Considering the weight and factors, wood or stone materials are rarely used on board, but after reasonable design, it will give people a sense of solidity, which can even be regarded as a ship. Psychological research.

Cheng Jinzhou went up one level and found the captain's lounge in the rear cabin. The door was closed like other rooms. Xiao Cheng knocked on it with some hesitation, and then said, "Warlock Liu Kuangxing?"

"Jinju." 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 there, each holding a quill pen, and they were actually doing calculations on the whiteboard.

Cheng Jinzhou was quite surprised and said, "Have you started researching it now?"

Warlock Liu Kuangxing didn't look back, and said with a meaningful smile: "Time doesn't wait for me. At any time, you can only enjoy the scenery below better if you climb to a higher point."

If it was two or three days ago, Cheng Jinzhou might have fooled it with a smile, just like his previous life.Playboys can always find a shortcut to the end, but when they can't find it, they often have nowhere to go.As for now, after seeing the great power of power and the loss of dignity without power, Cheng Jinzhou dared not hesitate any longer.

However, a dandy is a dandy after all, thinking about the idea of ​​forging ahead in his heart, but he didn't take any physical actions. He just watched the two star warlocks draw and write there, without even a clear sense of direction——actually In fact, there is nothing he can study: he has either never learned medieval mathematics, or has only a half-knowledge of it, and it is difficult to replicate it; modern mathematics can be used without any problems, and if he wants to reproduce the proof-seeking process, it is far beyond the cheating doctor. The scope of ability; modern mathematics is the focus of his study, but it is barely 60 points. If he wants to research something new by himself-that is what Dr. Cheng's father and Dr. Cheng's mother did, not he is a cheating doctor accessible range.

Perhaps, growing up quickly is what is most needed, Cheng Jinzhou thought strangely.

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 took a little longer."

Cheng Jinzhou waved his hands repeatedly and said, "I just came to thank you."

He was a little afraid to really take part in the battle, even if it was a simple task, the simplified process, the speed of reaction, and the mastery of the formula proficiency would all affect the speed of the scene. Cheng Jinzhou was worried that he would be exposed in 2 minutes.

Liu Kuang thought he was being modest, shook his head and said with a smile, "Thank you already, if you really want to thank me, please help me draw the picture."

As he said that, he turned around and said, "We are going to segment this graph now. Jinzhou, you should try to find its extremum and range."

What he studied was the relatively elementary graphic trajectory of analytic geometry. Fortunately for Cheng Jinzhou, Da Shunchao or Liu Kuangxing, the sorcerer, chose to deduce the equation from the trajectory instead of studying the equation first and then deriving the trajectory. The former is the study of Descartes. The latter is the research direction of Fermat.In comparison, Fermat's thought is more natural, closer to ancient Greek thought, with a strong classical color, while Descartes is slightly deviant, but his work is also more breakthrough-it has been proved that Descartes has a great influence on the development of mathematics. Therefore, in this regard, students mostly use Descartes as the blueprint for research, as does Cheng Jinzhou.

Perhaps it is precisely because astrologists do not agree with Greek classical mathematics such as Euclidean geometry, so 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 follow the path On the road to Fermat, Xiao Cheng can only pretend to have amnesia besides being stunned and having a stomachache.

Dr. Cheng Da held a pen, glanced at the progress of Warlock Wang Ling Hexing with his right eye, and slowly calculated the extreme value, not daring to go ahead or lag behind. Through the calculation steps, try to get the answer directly, so as not to be found out of the thinking and calculation methods of the times.

Liu Kuang didn't notice this problem, but asked intermittently while processing the entire graph: "I have already submitted your results in the balance design to the association for you..., wait until the review is passed. After that, there should be a response... You still have 6 contribution points to reach a one-star warlock... Don't worry, after all, someone needs to use your results, and he needs to complete the research and submit it to the association again... In a short period of time, there will not be much contribution to the association, and everyone writes very slowly...but a 1-star warlock is only 10 points..."

He wanted to say a sentence, if he was thinking or calculating, he would pause for tens of seconds. A short sentence made him speak for five or six minutes, and Cheng Jinzhou's neck felt sleepy when he heard it, but he just pretended to be calculating.He is most aware of 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's CD of the guild. How many people can read his report? Needless to say, after reading the report, he still needs to be able to use it. If he can use it, he must be able to write a paper that is recognized by the Astromancer Association.If it wasn't for the introduction of Warlock Liu Kuangxing last time, he couldn't easily get 6 points of association contribution.

Therefore, without Liu Kuang's explanation, Cheng Jinzhou did not put his mind on obtaining the contribution points of the association. This must be a long-term job. Once he persists, he will have high returns, but short-term profits are very unrealistic.

In about 10 minutes, Cheng Jinzhou completed a calculation of the extreme value of a partial function, hung it on the whiteboard and handed it to Liu Kuang for synthesis.The latter glanced at it first, and then praised: "Yes, some parts are handled better than Xiang Xin, but the process is simplified too much."

He frowned as he spoke, and said, "Your way is a bit too..."

"Isn't it formal? I learned it myself, so..." Cheng Jinzhou explained the not-so-genius things in a genius tone.

Liu Kuang nodded noncommittally, frowned 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 while, not knowing how to answer, as a famous koan in the history of mathematics.Descartes insisted that there is an essential difference between "straight" and "curved", and believed that only a straight line has a definite value, so he rejected any exploration to find the length of the curve, and aggressively attacked Fermat's maximum and minimum values , thinking that it violates strictly deductive reasoning-there is no Descartes among astrologists, but the same question will still be asked, just like people want to know the result of multiplying four by five after knowing the result of multiplying four by six Same.

For astrologists, definite numbers are quite useful, and the value of curves often lies in calculations. If you insist on the distinction between "straight" and "curved", it is tantamount to giving up the practicality of analytic geometry. What Liu Kuang showed It was even more confusing than Cheng Jinzhou expected, because he took the route of Descartes, but unconsciously he had to use a method similar to Fermat to solve problems. Although the Great Xia Dynasty did not have Fermat and Descartes, the pros and cons This kind of animal will always live on the same soil.

"I'm not sure." Cheng Jinzhou didn't even dare to shrug his shoulders.

In fact, Liu Kuang didn't expect Cheng Jinzhou to solve such a theoretical problem, he just stretched his waist and said, "At this year's association, the warlock Jiang Huangxing is going to make trouble."

"Is he also a fourth-level star warlock?" Cheng Jinzhou asked carefully.Creatures called fifth-level star warlocks are extremely rare, and at the level of the Great Xia Dynasty, fourth-level star warlocks are the top.

Wang Linghe echoed, "Is it the royal star warlock, the fourth-level star warlock, or the four-star warlock."

The higher the star level of the star warlock, the more valuable it is. A second-level star warlock may be more prestigious than a two-star warlock, but at the third and fourth level, they are often not as valuable as the star warlocks of the same star level. Except for a few people , high-star star warlocks are often very high-level.Warlock Liu Kuangxing is a fourth-level star warlock and a three-star warlock. It can be said that in terms of theoretical astrology, he has somewhat fallen behind.

The high-level struggle of the star warlocks is beyond the comprehension of a small shrimp like Cheng Jinzhou. He can only laugh a few times and say: "The star warlock Liu Kuang 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? "

"what?"

"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 astrologists who have not received formal training.Cheng Jinzhou raised his eyebrows and declined, "I can't help you much."

Ever since he joined Liu Bin's transshipment envoy, Liu Kuangxing Warlock seemed to have been trying to pull him aboard. The more so, the more he dared not agree.

Warlock Liu Kuangxing was also familiar with his temper, and he didn't force it. 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 flies quickly when doing the questions, especially the process of using knowledge, if it is smooth and smooth, it is quite a pleasure.Liu Kuang would not give Cheng Jinzhou difficult parts. In the initial stage of research, many of the contents were learned step by step by Cheng Jinzhou, and he did it very 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 development of mathematics among astrologists is too unbalanced, such as trigonometric functions and practical geometry, but few people touch other theoretical content. Ph.D., replaced by a Ph.D. in Mathematics, you have to be angry, anxious, and depressed to the point of death.

After an unknown amount of time, the servant knocked lightly on the door, and after receiving Liu Kuang's response, he opened the door and said, "Masters, lunch is ready."

"What's for dinner today?" Xiang Xin was so bored that he asked quickly.

"Chicken cod, iron fire thin lamb chops, wine-flavored puffy skin and assorted sukiyaki, and two pots of sake." After the servant knelt and reported, he walked backwards out the door. The space on the airship is limited, and the rules have also changed. .

"My chef, the thin lamb chops are very good, try it." Liu Kuang stretched his waist, stood up and said with a smile: "Lamb chops are all taken from lambs weighing about 20 catties, as long as the middle one is Three ribs, with a little fat on the edge, once the fire is over, the oil is almost completely burnt, but there will be a little bit wrapped around the meat, which is 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 head when he heard this. The speed of this airship is a bit slower, but it can travel absolutely smoothly. The comfort level is at least at the level of private jets in later generations. Even for long-distance flights, it is more comfortable than ordinary luxury cruise ships. Look The fourth-level star warlock is also a picky master.

Xiang Xin packed the whiteboard next to him, and when Cheng Jinzhou was ready, he took out a small silk bag from under the table and handed it to him, "This is Cheng Yi for today, please accept it."

Classmate Xiao Cheng didn't know why he took it, and felt his hands sinking, he couldn't help but doubt: "This is..."

"The astrologists participating in this kind of discussion are all taken by Cheng Yi." Xiang Xin blinked narrowly and said, "The Shuxiu I sent you came from here."

Both Wang Linghe and Liu Kuangxing Warlock nodded to him with a smile, and walked out the door.

Cheng Jinzhou himself fell behind and poured out the contents of the silk bag on the table.It happened to be 4 small silver ingots. You don’t need to weigh them with your hands. You can only know that they are standard Kuping silver from the design and color twisted from the top. For large transactions, it is rarely circulated between markets, so there is less wear and tear.

If it is within the normal grain price range, you can read 4 characters for 1 taels of silver, and 40 characters for 10 taels of silver. The daily salary is just enough to buy a book from the library. My daily salary is about 30 yuan, calculated on 20 days a month, the salary is 600 yuan. In a small town like Shaonan, it is really a barely living standard, which is very similar to its situation.

Of course, 80 taels of silver a day was still terrifying in the Great Xia Dynasty, and the monthly income of 1600 taels of silver exceeded the income of most shops.Cheng Jinzhou was stunned inwardly. It seemed that even an astrologer without a level seemed to be quite wealthy—as a guy valued by a fourth-level astrologer, it was difficult for him to understand the life and mentality of a low-level astrologer.

……

Niaoyu: Let’s merge the two chapters. I’m sorry that the update volume was not completed yesterday.

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(End of this chapter)