Rebirth in 1998 is also a kind of life

"Are you insulting me?" In the reception room of Zhuhua Genetics Laboratory, Lin Keran looked at Yang Zhu unkindly.

Although it is said that Yang Zhu is her half-idol, who has surpassed her by eight blocks in terms of professional and commercial achievements, it does not mean that Yang Zhu can despise herself so much.

This guy has been with his stupid wife for a long time, is he used to treating all women as idiots? ——Lin Keran, who knew the little girl, her former subordinate very well, thought bitterly.

Indeed, the Euler function sounds very high-level, but if you don't do derivation and practical application, as a basic knowledge in advanced mathematics, this thing is actually very simple.

………………

欧拉函数：φ(n)=n*(1-1/p1)*(1-1/p2)*......(1-1/pn)；其中(p1.....pn)为n的素因子。

Leaving aside those seemingly dazzling formula symbols, the Euler function itself is unbelievably simple, but also absurdly unbelievable.

简单点来说……如果有人问你，1+2+3+4+5+6+……∞等于多少？

Well, under normal circumstances, many people will tell you that it will be equal to infinity.

However, Euler, who is also known as the four kings of the history of mathematics with Archimedes, Newton, and Gauss, will tell you that the correct answer to this question is -1/12.

According to the understanding of normal people, the numbers on the left are all positive numbers, and they are all greater than 1. How can it be possible to get a number less than 1 after adding, and it is also a negative number?

But the top boss Euler will tell you with the logical Euler function...it is equal to -1/12!And I will tell you that this is a miracle; only the omnipotent God can make these numbers add up to a negative number without violating the basic mathematical logic!

In fact, the academic circles have an unanimous consensus on this Euler function, which obviously violates common sense - this thing is the formula invented by Euler, who believes in God, to prove the existence of God!

………………

Seeing the displeasure on Lin Keran's face, Yang Zhu just smiled: "Since you know the Euler function, you also know the genius mathematician Ramanujan, right? You should also know the Riemann function?"

Lin Keran nodded, as if he vaguely understood something, but he was even more puzzled.

Ramanujan is one of the most famous mathematicians in the history of the Three Kingdoms, and is also recognized as a genius in the mathematics circle;

Of course, this genius is famous for one more thing—he is another mathematician who believes in God after Newton, Einstein, and Euler, and he publicly declared that all his research results were told to him by God (this is The reason why my buddy is suspected by later generations of netizens as a time traveler - after all, this buddy often comes up with a mathematical formula that can be verified for no reason, but there is no word in the derivation process in the middle. The reason for using it is [These formulas God told him]).

However, these things are not important, the important thing is... This buddy perfectly proved the mathematical logic of the Euler function with a series of formulas that elementary school students can understand.

简单来说，第一步先把1+2+3+4+5+6+∞的和记为s1；即：s1=1+2+3+4+5+6+∞

第二步：引入s2；s2=1-2+3-4+5-6+∞；

The third step: s1-s2; can get the equation

s1-s2=4+8+12+16+20+∞

=4+8+12+16+20+∞

=4(s1)

Step 1: Convert the expression of the function relationship; thus, s1=-3/2*s[-].

At this time, you only need to find out how much s2 is equal to, and you can know how much s1 is equal to;

这时候，再拿出一个s2来。设定其为s2=1-2+3-4+5-6+∞；

Then add the two s2 dislocations, as follows

s2=1-2+3-4+5-6+∞

+

s2=1-2+3-4+5-6+∞

2s2=1-1+1-1+1-1+∞

Then 4s2=1

由此可知，s2=1/4；于是s1=-1/12（作者后台的位置是对齐的，就是不知道传上去后齐不齐）

则可以得出2s2=1-2+3-4+5-6+∞

Although Ramanujan proved the Euler function with a simple and clear formula, people always feel that this thing is too contrary to common sense; so for the purpose of refuting the Euler function; after Ramanujan, people began to verify Euler function to - this time, people used the Riemann function.

Not to mention the derivation process of the Riemann function, people found that... the final answer is still the damn -1/12!

Perhaps people could not accept this mathematically impeccable, but completely impossible result in reality; so mathematicians at that time, in order to figure out what was going on, visualized the proof process of the Riemann function step by step , and finally... came up with a pattern that shocked the mathematicians at the time, but the philosophers were ecstatic - the inverted c-shaped pattern (no way, can't draw pictures, not very intuitive.)

The general meaning expressed by this pair of patterns is... the sum of this group of numbers, at the beginning, presented an arc and gradually increased; when it became very large, it suddenly made a sharp turn and began to gradually increase. Small, showing an inverted C-shaped curve on the coordinate quadrant diagram, like a circle with a hole missing.

As an anecdote in the history of mathematics, even high school students in future generations will know this story and the inverted C-shaped curve, not to mention Lin Keran who was tortured to death by high mathematics courses;

It's just... Although she knew that the focus of Yang Zhu's chat was the inverted C-shaped curve, she didn't understand why Yang Zhu wanted to talk about this?

........................

Seeing Lin Keran's confused look, Yang Zhu smiled: "I once saw a story on the Internet;"

"500 years ago, A and B stood on the plain and watched the sun set together, and they couldn't help but feel emotional;"

"A sighed and said: the sun sets, and the heartbroken man is at the end of the world;"

"B is thoughtful: Do you mean that the place where the sun sets is the end of the world? Then, if I keep going west, will I see the end of the end of the world and the place where the sun sets?"

"A fell into deep thought and remained silent for a long time;"

"Seeing this, B bid farewell to A, and walked west unswervingly;"

"A sees the back of B going away, and thinks, maybe I will never see B again in my life?"

"However, a wonderful thing happened - a year later, in the same place, A saw B again;"

"A was very strange and asked: How did you come back?"

"B replied with a puzzled face: I didn't come back, I have been traveling to the west, I don't know why, but I came back here again;"

"A's face is incredible: you have been walking west, shouldn't you be getting farther and farther away from me? How could you return to the same place?"

"So... here comes the question. This kind of thing, which is completely contrary to people's cognition, has become a living fact?"

Lin Keran was about to say, isn't this nonsense, everyone knows that the earth is round!

But suddenly remembered the "500 years ago" preset in Yang Zhu's story, and swallowed the words abruptly;

After thinking about it carefully, I just feel that the inverted C-shaped curve derived from the Euler function and Riemann function that connects this story to the previous one feels that the information density in it is astonishingly large; The bigger the head, the more distracted the thinking becomes.

Seeing this, Yang Zhu nodded approvingly—this long-legged beauty with panda eyes is not a vase after all, and she is not stupid enough to take it for granted that the earth is round.

He sighed at the moment: "If a person who travels through the past in the future is present, then he can tell them confidently that the earth is round, and walking in one direction will return to the origin. Isn't it a matter of course? But... 500 People who lived a few years ago, who knew that the earth was round?"

"So... this story tells us that any so-called [common sense] has the limitations of the times; any [natural] does not mean it is correct-the limitations of A and B also exist in our era ;"

"In business talk business, the reason why you wonder why I value those scientific researchers so much is because you still take the knowledge in textbooks as a standard, and take the so-called common sense of the moment as a matter of course, so you are also like A and B in the story. Same, limited to it!"

Even though he was used to Yang Zhu's "by analogy" teaching, Lin Keran still couldn't stand this guy's pretentiousness, and immediately rolled his eyes: "Hero Yang, can you please tell me something human?"

Yang Zhu shook his head, and glanced at this guy with a rotten and indestructible eyes: "It's still the same sentence, it's hard to say whether the end of philosophy is theology; but the end of mathematics must be philosophy!"

"After Einstein saw the Euler function, he used a philosophical point of view to explain the rationality of this formula-the solution to a major problem can never appear in the dimension that produces this problem!"

"And this is the reason why I attach so much importance to genetic engineering and these scientific researchers—from the small business economy to the great rejuvenation of the entire Chinese nation, they are inseparable from their research results;"

"It can be said that their importance far exceeds your imagination. The sum of ten Lin Xiongs is not worth as much as one finger of Director Xie!"

Hearing that Yang Zhu was cueing his father again, Lin Keran rolled his eyes. After secretly hating this guy for taking things away, he turned his face and refused to recognize him, and sneered: "Oh? Are you not indifferent to the situation in our country now? I understand, it was pointed out in the previous meetings. What is lacking in the country is advanced enterprise management system and high-quality management personnel. Tell me... When will my dad not be able to compare with other people's fingers? "

This is actually a fact. Since we have joined the WTO, under the environment of global economic integration, the competition between countries and the pursuit of interests depend largely on the improvement of the competitiveness of enterprises themselves. However, the management of domestic enterprises is now Notoriously stretching across; therefore, any leader of a large enterprise with a little management ability is within the scope of the above attention. He can't wait to organize learning exchanges every day, so that other enterprises and units can go to learn advanced experience. It's not very heavy, but Lin Xiong's old fox was able to make Nuo Da a group flourish in just three years, so it is enough to be ranked in the top 20 on the provincial watch list.

Seeing Lin Keran's unconvinced look, Yang Zhu sneered: "Please find out, your father and Director Xie's values ​​are not directly in the same dimension, okay?"

"Indeed, I admit that there is an urgent shortage of advanced management systems and high-quality management talents in China, but in the final analysis... [management] is just to achieve the optimal allocation of resources. At most, it can change from 0.1 to 1; there is absolutely no way to change from 1 has changed to 1.1!—In essence, management is a job of dealing with the deployment of resource stocks!"

"And our country has its own reality and cultural genes. Even if it looks messy at the moment, in a fully competitive environment, we will naturally find out one or more management systems that are basically in line with China's national conditions. Come out—by then, excellent management talents will definitely be indispensable!"

"But Director Xie and the others are researching something different, which is to change 0 into 1, and then from 1 to 100; if you are lucky and really succeed, it is not just about creating a new incremental market. That's it—it may even allow our country to overtake in curves on some major tracks!"

Lin Keran naturally knows the huge difference between "0.1 to 1" and "0 to 1", but she still has some doubts about Yang Zhu's words - after all, in her opinion, with the current level of commodity abundance, the world has entered an obvious, The all-round stock market is all about the ability to optimize resources. Except for the two industries of computers and mobile phones, even if there are technological innovations in the rest, they are only negligible "minimally invasive". Where is the new incremental market?

Hearing Lin Keran's question, Yang Zhu sneered: "There are some things, it's not convenient for me to say now, I can only tell you..."

"Twenty years ago, when the asphalt roads in the city were not yet popular, and the whole city traffic collapsed in the mud after heavy rain, how many people in the country would have thought that there was something called an overpass in this world?"

"Ten years ago, China started the process of urbanization, and when the parked cars of the bosses in Shencheng crowded the narrow roadside, how many people in the country knew that there was another kind of car in this world? Something for the underground garage?"

"Similarly, you think that the world has entered the stock market stage, and domestic companies can only compete with price and cost control methods; but...is this really the case?"

Lin Keran was thoughtful: "You mean... the direction of genetics can really break through a huge blank incremental market?"

Yang Zhu chuckled, but shook his head: "Miss Lin, your vision is too narrow!"

"Let me ask you a question... If you make the Taiji diagram three-dimensional, what will it look like? What is your intuitive feeling?"

Lin Keran hated Yang Zhu's teaching method by analogy, but when she heard Yang Zhu's question, she closed her eyes obediently and imagined it.

"Huh? If you make the Taiji diagram three-dimensional, it looks like two celestial bodies entangled in space... just like the real trajectory of the sun and the earth in the universe!" After 1 minute, Lin Keran seemed to have discovered The eyes of New World are full of joy.

Yang Zhu nodded: "That's right, this is the real way to open Taiji Diagram!"

"If you regard technology and the market as two intertwined celestial bodies in the Tai Chi diagram, you will find that...they are two major factors that support each other and spiral forward;"

"Just like the trajectories of celestial bodies, after each complete spiral winding, they can move forward a lot under the action of force-from an economic point of view, it is a combination of market demand and technology upgrade. Qualitative change; and the tail behind those two spheres is the long-tail market and secondary extension technology!"

"That is to say, once a technological upgrade is completed, in addition to breaking through a huge incremental market, it can also radiate and expand a derivative market that is ten times larger than it, and it can also jointly build a new one with the original old market." A multi-level three-dimensional market space with promotion channels!"

"And the reason why I value genetic engineering and these scientific researchers so much is because they are an important fulcrum that provides the spiral upward force for the [technology] sphere;"

"Perhaps it would be extremely difficult to provide spiraling force for the sphere of technology if they were the only ones to rely on; but don't forget...my sphere representing [the market] is constantly providing traction force by the side!"

"With my help, as long as they are willing to cooperate, the possibility of both sides completing a spiral movement will be greatly increased!"

"And once the spiral winding action is completed... hum!"

When Lin Keran saw Yang Zhu, who was a little pissed off, he naturally knew what the result would be, and suddenly realized: "No wonder you used the Euler function to derive the inverted c-curve of the Riemann function at first!"

"From the point of view of economics + philosophy, the curve is clearly rising, and the potential energy has been weakened to a negative half spiral! - If there is no assistance to help it rise, then it will form a reincarnation; if there is assistance to help it complete Spiral winding, then this curve can increase one dimension and enter the next cycle!"

Yang Zhu nodded: "So, the energy of mathematics is philosophy! Simply looking at numbers is of little value!"

Lin Keran breathed a sigh of relief, pondered for a while, and asked curiously: "Idol, if there is a breakthrough in genetic research, how can we open up a blank market? After all, even if the output of food crops Improvement is nothing more than an extremely important resource supplement in the existing dimension, and it doesn't seem to be a breakthrough!"

Yang Zhu smiled: "Who told you that my genetic research project is only for food crops?"

"Also, have you forgotten that although the first three industrial revolutions were mainly aimed at the four T1-level needs of human beings, food, clothing, housing, and transportation, they also brought a qualitative leap;"

"But... on top of the t1-level demand, there is still a t0-level demand. Once there is a breakthrough in this market, the market potential is simply hard to estimate!"

Lin Keran took a deep breath: "T0 level needs!? You mean...?"

Yang Zhu chuckled: "That's right, it's life!"