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Chapter 48 Author's Words Review of Chapters to
Chapter 36: The Twelve Natural Elements

This chapter writes about five things.

The first thing to do is return to school after the snow stops.

The second thing is the characteristics of the twelve natural elements, the first and second order. Water, fire, wind, earth, space, time, metal, wood, earth, lightning, light, dark, elemental harmony, elemental domination.

Elemental Synchronize is very limited, and it only provides some immunity, not complete immunity. Elemental Domination is slightly better, but compared to the Second Asymptote itself, Elemental Domination is just icing on the cake.

The third thing is to go to the cinema to celebrate New Year’s Eve.

In the summary of the previous chapter, it was mentioned that although the subjective description of "Happy Superman League Star Power" in the article is only one sentence, this sentence can already show that the author has really watched "Happy Superman League Star Power". Then, this chapter mentions "Soul". Has the author watched "Soul"? No.

In the plot of this chapter, the author never wrote what kind of movie "Soul" is or what kind of story it tells, not even a single word.

The author has not read "Soul". There is only one sentence describing "Soul" in this chapter, which is what Xu Yingze said, "I like its name", and that's all.

Let me add a digression here. Every character in the book is the author, whether it is the protagonist or the supporting role, whether it is a positive character or a negative character. Xu Ying only looks at the name, and the author also only looks at the name.

So, can the author spend some time to watch the movie and then add the plot and feelings of the movie into the article? Yes, but it is not necessary.

The film has already served its purpose in the article. If more words were spent on it, it would not only be considered as a waste of words, but would also make readers mistakenly believe that the two protagonists liked the film very much. Whether the protagonists liked the film or not is a question that is not answered in the article.

The fourth thing was the dinner at Xu Yingze’s house.

The article describes in detail in chronological order the three dinner parties at Xu Yingze's home.

The first time was tomato and egg noodles.

The second time was the meal after the semi-finals, which included steamed sea bass, fried hairtail, cola chicken wings, stir-fried wild rice stem with shiitake mushrooms, boiled broccoli, and stir-fried cauliflower.

The third time was this time, stewed with winter bamboo shoots, yellow fish soup, boiled shrimps, braised pork, stir-fried beef slices with mushrooms, and shredded cabbage.

It is not difficult to see that the price of the third dinner is the highest.

The fifth thing is the conspiracy between the two protagonists. The conspiracy is divided into two themes.

The first topic, Xu Yingze's elemental attribute is water, and she guessed that Mu Zhengguang's elemental attribute is one of water and fire. But Mu Zhengguang is afraid of fire, so he didn't test it. In this matter, Xu Yingze did not force him.

The second topic is returning to hometown.

When plotting, Mu Zhengguang mentioned the "test annual fee". What annual fee is this? Some readers may be able to guess that the annual fee for multiple enhancements is 4399... This is not the point, I will write about it later.

Finally, let’s analyze two sentences from this chapter. Xu Ying said, “It’s the same whether you come to me tomorrow or I come to you today.” Mu Zhengguang said, “Okay, there are only good reviews, no bad reviews.”

Although these two sentences seem to lack a bit of "sincerity" and seem a bit perfunctory in their literal meaning, they are both true and the words and actions of the two people are consistent.

Because Xu Yingze really bought the movie tickets to come to him. Because Mu Zhengguang really thought that the stir-fried beef slices with mushrooms had merits, and in Chapter 41, when Mu Zhengguang cooked the dish himself, the beef tasted bland.

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Chapter 37: A Long and Full Day

This chapter is too "long", with more than 3,000 words. The theme of this chapter is "nostalgia", and the emotional tone is slightly sad.

Look at the first paragraph. What did Mu Zhengguang say? "The speed of buses is too slow. It seems that it will be difficult to sell buses in the future." This is just the tip of the iceberg of the changes of the times. The difficulty in selling buses is just a small matter. This matter is so small that it is almost not worth mentioning. The real big thing is that almost everything is difficult to sell.

Now let's digress. Asymptotes greatly enhance people's physical fitness, so can fitness equipment still be sold?

In the absence of an asymptote, even if one can reach the level of a top athlete through fitness, such as 9.58 seconds for the meters, what is the lower limit of the speed of a first-order asymptote? Ten meters per second. Are the two very close? But one is the lower limit and the other is the upper limit.

In addition to fitness equipment, medical equipment, various medicines, and health products, especially those that taste bad, are also not easy to sell. So are school supplies easy to sell? Not so easy to sell, because the extra points for the modeling competition are too high, and these extra points do not need to be obtained through learning. Moreover, you can't get these points by studying hard.

In later chapters, especially in the third and fourth volumes, these "digressions" will be incorporated into the main text.

Back to the topic, this chapter actually only writes about one thing: the two protagonists return to their elementary school alma mater, and Xu Ying digs out the yearbook there, from which she draws strength.

Before returning to school, the article spent a lot of time introducing the schools in Yuantian Town, and wrote in detail about the situation of the alma mater, how it was in the past and how it is now. It also extended from the alma mater to Xu Yingze's home, not only describing the appearance of the villa, but also her bedroom.

These contents are not written in vain. Even if these settings will not be used in the future, they cannot be omitted.

The more detailed the writing, the more meaningful Xu Yingze's question "How does it feel to revisit the old place?" is. The past and the present are clearly different. With these contents as support, it is natural for Xu Yingze to ask this question in this situation. In addition, if the description of his alma mater is omitted, Mu Zhengguang's answer of "a better learning environment" will not be confirmed.

One thing to note is that these descriptions of the environment are not narration. From the pronouns, we can see that this is written from Mu Zhengguang's perspective.

Xu Ying said, "I have a bad memory," which is not accurate and should not be taken seriously. But she said, "I can't remember," which is true.

In the article, Xu Ying said, "Before you are consumed by time, become my strength first." This sentence is similar to what she said in Chapter 31, "Before you lose to others, lose to me first."

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Chapter 38: A Gift Across Time

Readers who have read this chapter must understand that the gift mentioned in the title refers to clothes: Xu Ying used her school uniform to make clothes for Mu Zhengguang.

In these little things and details of daily life, the plot slowly advances, and the characters become more and more perfect. At the same time, the power of Asymptotes is constantly revealed, penetrating into every aspect of life: food, clothing, housing and transportation.

The first half of this chapter talks about "strengthening oneself". In this chapter, the explanation of strengthening is not clear. More words will be spent on describing this strengthening in the next few chapters.

The second half of this chapter is about making clothes. This matter is written in great detail, so I won’t summarize it here.

There is a sentence in the text, "You are very considerate to me, but I only give you the silver key and the golden hairpin", which is what Mu Zhengguang thinks. This statement is not rigorous and should not be taken seriously.

Chapter 35 clearly mentions the gold powder ink, and that bottle of ink is for Xu Yingze. Of course, in Mu Zhengguang's opinion, the ink is not worth mentioning, so it is ignored.

Chapter 40 describes the delivery in detail.

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Chapter 39: Medieval Mass Formula

The article describes the relationship between the formulas, but does not include numerical calculations. Let's calculate it here.

M1=ρV, V=4πR/3, R=r/(200p), p=n^n.

M2=mk/1000, k=(r/p), p=n^n.

r is the domain radius, n is the order. ρ = 3.34 g/cm, m = 14200 g.

Chapter 70 states that "the domain radius is 35 meters" and "the radius of the full moon is 1200 centimeters and weighs 70 kilograms", that is, r=1, n=1, and M599.845=.

第二十九章里写了“域半径74米，所画事物重5754.2千克”，即r=74，n=1，则k=405224，M2=405224×14.2÷1000=5754.1808。

当ρ=3.34g/cm、m=14200g、r1=r2、n1=n2时，M2=8.12M1，但这不能说明前者强于后者。戴文鹏在实战中不能发挥出全部的M2，失血过多会要命。

The standard mass formula of the ancients: M = αk/1000, k = (r/p), p = n^n. For the same individual, α/1000 usually does not change much, and it is regarded as a constant, recorded as C, then the formula can be simplified to M = Ck.

When k=（r/p）, n＜4、r＜10000, the growth rate of r is obviously faster than that of p (r increases from 10 to 9999, p increases from 1 to 27). Later on, the growth rate of r also far exceeds the growth rate of p (for example, n1=9, n2=10, p2=25.8p1, but the upper limit of the radius of the tenth-order domain is definitely not only 25.8 times the upper limit of the radius of the ninth-order domain).

Therefore, we can conclude that as r and p increase, k will get closer and closer to r (it is undeniable that k is still much larger than r, because p is a very large number), that is, M gets closer and closer to 4ρπr/3, that is, replace R in Guo Qiwei's mass formula with r, which means that the radius of the full moon is "equal to" the domain radius. In other words, the larger the domain radius of a person, the larger the "earth ball" he can make.

By then, the existing mass formula will no longer apply to the ancients. However, because p is too large, it is very difficult to completely eliminate p, so the mass formula applicable to the next stage will appear very late. When R=r, the book is almost finished.

That’s all about the formula, let’s get back to the original text.

Talking with classmates in the classroom and getting colored ink from Lu Hao are all trivial things, but without these little things, the character's personality is not comprehensive. In terms of the character and image shown by Lu Hao in this chapter, he can be called a close friend.

Mu Zhengguang's elemental attribute is fire, but he can suppress natural fire. This is what makes him different from most people, because the ancient people are different from most people.

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Chapter 40: Strange Ways of Strengthening

Three things. The first thing is the discussion about love that arose because of ink.

Ignoring the conversation between the two protagonists at the beginning of the chapter, this chapter describes the relationship between the two protagonists from a side perspective.

This chapter mentions dedication and contingency. These concepts are not unique to the book. They are very common in daily life, but they are not necessarily the original words.

In the summary of Chapter 13, the "view of admiration" is mentioned. What is the view of admiration? Simply put, it is the view and opinion on "admiration". "Devotion" and "randomness" are part of the protagonist's view of admiration.

Mu Zhengguang thinks that he does not give Xu Yingze as much as Xu Yingze gives him. Is this true? In the existing chapters, make a comprehensive calculation. Things that are too cheap are not included, such as ordinary ink and snacks.

Mu Zhengguang gave Xu Yingze gold powder, ink, a golden hairpin and a silver key.

The silver key can be counted or not, because the source of the silver key is quite special. But the gold powder ink must be counted, this thing is not cheap. Lu Hao used the gold powder ink to repay the favor, and he added gold powder to the ink.

It is worth mentioning that if there is only one dinner party, then this dinner party is not counted in the total. For example, the article clearly states that during the preliminary round of the modeling competition, Mu Zhengguang invited Xu Yingze to dinner, and this meal was not counted.

Xu Ying gave Mu Zhengguang clothes, food for dinner parties, ways to strengthen, and sealed powers. Mu Zhengguang also gave sealed powers, but there is a sequence of sealing. The first sealed is considered as giving, and the later sealed is considered as gain. Mu Zhengguang had eaten at her house more than once, and the money for these meals must be calculated. However, the purchase of movie tickets was only once, so it was not counted.

From the perspective of price, Mu Zhengguang gave more. From the perspective of asymptote, Mu Zhengguang also gave more. From the perspective of healing and competition, Mu Zhengguang gave more. If Mu Zhengguang didn't help, Xu Yingze would not be able to enter the finals because of her deep sleep.

So, from which perspective did Xu Ying give more? In the process of getting along with each other, Xu Ying was more attentive. In dealing with many trivial matters and facing the changes of the times, Xu Ying gave more, such as strengthening methods and sealed powers.

With Mu Zhengguang's character and ability, he would not fall into a trap at this point in the plot. However, as the plot develops further, without Xu Yingze's reminder, it is only a matter of time before he falls into a trap.

Chapter 21 says that “people’s destiny is like a written book or a movie played in reverse.” This sentence is mentioned again in this chapter.

Next, let’s analyze “contingency”. The word “contingency” in the text is in quotation marks. We cannot look at its literal meaning, but its opposite meaning. The quotation marks actually refer to inevitability. There is another word in the text, which is natural. This word is also in quotation marks.

This has gone a bit off topic, so let’s get back to the main topic, the second thing, which is the discussion about strengthening strength.

Before talking about this, let me first talk about Lu Hao’s view on power: Lu Hao believes that power can change destiny.

Only Mu Zhengguang and Lu Hao participated in the discussion, but Zhang Sutian also heard their intelligence. Although the reinforcement method proposed by Mu Zhengguang was effective, there was no evidence. Or, Mu Zhengguang did not tell Lu Hao the evidence, and he had no obligation to tell Lu Hao about Xu Yingze's private affairs.

The third thing is Mu Zhengguang’s speculation on the cause of asymptotes.

The asymptote is not produced without reason. "Darkness" is only one of the factors, and "heart" is also one of the factors, but "heart" is too vague and difficult to measure. In this chapter, Mu Zhengguang begins to narrow the scope of "heart". There will be a more accurate description in the next chapter.

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Chapter 41: The Road to Your Wish

The first thing Mu Zhengguang did was to write down his ideas on paper.

Analyze the content of the note in detail.

1. Narrow the scope of "heart" and separate two factors related to asymptotes from "heart": thoughts and wishes.

2. Mu Zhengguang’s premonition: fulfilling wishes and strengthening power.

3. The role of relevant factors: "Darkness" gives people asymptotes according to their thoughts, characteristics, and nature, and writes the strength of power and the size of the asymptote according to each person's wishes.

4. The tendency of "darkness". If the "darkness" is sincere enough, the desire to be chosen is probably the one that stays in people's hearts for a long time.

5. Rename the asymptote: the asymptote of wish. The asymptote is connected to the heart, it helps people realize their wishes, it is the intermediate process and the only way to the result.

Xu Ying relied on her intuition and creativity to find ways to strengthen the system, and Mu Zhengguang explored the nature of asymptotes based on this.

The second thing is the casual chat between the two protagonists.

The two people's wishes are the same, they obtain power at the same time, and they are the same type of people recognized by fate.

This once again confirms that the two were already very close before the advent of "Darkness". The emergence of the asymptote only accelerated the progress and provided material and power guarantees for the two to get together.

The third thing is the strengthening of Mu Zhengguang, and the auxiliary variables increased by 5%.

The key word is "auxiliary variables". Mu Zhengguang's explanation of this word is very long, so let's simplify it: the auxiliary variables change, the characteristics remain unchanged, and vice versa.

What the addition of auxiliary variables means is not described in this chapter, but Guo Qiwei’s strengthening results are described in the next chapter.

The fourth thing is Lu Hao’s strengthening.

Lu Hao's enhancement is not clearly stated in this chapter, but Zhang Sutian's enhancement is mentioned in the next chapter.

So far, the author has not dared to use narration to directly write about the relationship between "Darkness" and the heart. According to the author's plan, this part will not be written in detail until the second volume. From the perspective of the protagonist, they are still some distance away from the truth, and the person who can tell them the truth will appear in the next volume. However, each volume has 70 chapters, and the first volume is already halfway through.

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Chapter 42: The Glory of Eternal Youth

The first thing is the strengthening of Zhang Sutian.

The first-order asymptotic rate dropped from 504 days to 378 days, an acceleration of 126 days. The effect is significant, allowing people to cross levels, but they cannot make the transition.

This type of enhancement can turn a weak ordinary person into a strong ordinary person, jumping from a share of 93.09684% to a share of 0.41376%.

This chapter mentions the proportion of modern people, which is 6.46506%.

To summarize, the medieval period is 1/96674 (sometimes also said to be one in a hundred thousand). The recent period is 1/4300. The transition period is 0. The modern period is 0.41376% (four thousandths). The modern period is 6.46506%. The contemporary period is 93.09684%.

The sum of these proportions is 99.99995%, leaving 1/2000000. Is this 1/2000000 the proportion of the ancients? The order of magnitude is correct, but the values ​​are quite different because the previous numbers are rounded off.

The second thing is the Institute’s use of product variables (the product variables mentioned by the Institute are the auxiliary variables defined by Mu Zhengguang).

The details are not summarized here, but Guo Qiwei's example is worth mentioning, as it is used to illustrate or even replace the setting.

Regarding the setting of the product variable, you can completely ignore it. As long as you remember the changes of Guo Qiwei's full moon, it is enough to understand the meaning of "product variable" in this book.

The variation is 0%, and the average density of the full moon is 3.34g/cm.

There is a special number in the text, 53.55, which is approximately equal to 2/1 of e to the power of 10π.

The percentage increase in the density of the full moon is also related to the power of e.

The variation is 53.7%, and the average density of the full moon is 5.71 g/cm.

The cumulative variable is close to full, and the density of the full moon has increased by 71%.

In addition, the masses of the two balls are not equal, but their orbital energy is equal (the article does not mention the rotational energy). To put it bluntly, the orbital speed of the small ball is twice that of the large ball.

This incident gives us a glimpse into the style of the institute, or rather the style of the dean. The dean has extraordinary power and ability, but his methods are relatively gentle.

The third thing is that Mu Zhengguang received two good news. Xu Yingze's news, the auxiliary variable is strengthened to 5%. Here is Xu Yingze's conclusion: "Dark" chooses wishes, opinions determine abilities, and wishes can overlap with opinions.

Mu Zhengguang separates wishes and thoughts, but Xu Ying believes that the two can overlap.

According to Lu Hao's news, the asymptotic rate is decreasing.

The fourth thing is Mu Zhengguang and Xu Yingze’s vacation time.

The fifth thing, and this thing is finally related to the title, “The Glory of Eternal Youth”.

The "eternal youth" in this chapter is different from the literal meaning. The bodies of the two people do not grow or age, which sounds beautiful, but it is harmful to Mu Zhengguang. Xu Ying can think of this, which shows that she is really thinking about things, and she is thinking about a lot of things.

Mu Zhengguang realized this matter late, and when Xu Ying reminded him, he didn't immediately think of why keeping a baby's appearance forever is harmful. From this we can see that keeping a baby's appearance forever is harmful, but the harm is not great.

Xu Yingze's psychological description is also the key point. She doesn't take the competition to heart, but she is worried about whether Mu Zhengguang is injured. In her eyes, "eternal youth" is also a kind of injury.

The sixth thing, which is the last paragraph, is that "the two once again verified the magic of auxiliary variables." On whom did they verify it? On Xu Yingze's cousin.

(End of this chapter)