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Chapter 62 The Limits of Natural Growth

Why can you memorize so many?

This is indeed an intriguing question.

Lu Yuan smiled and looked at Su Mei: "Do you know there are two transcendent numbers in nature?"

The so-called transcendent number is actually a mathematical concept, that is, a number that is not an algebra and does not cycle indefinitely.

There are two most famous transcendent numbers in nature, one is the more well-known π, which is pi.

The other is the so-called base of natural logarithm, that is, e, which is also a transcendent number.

Su Mei nodded.

Lu Yuan continued, "Look, since so many people have memorized pi, then there is nothing strange about memorizing the natural logarithmic base?"

There is nothing strange about it, Su Mei looked at Lu Yuan: "But why are you sure e is the answer to this puzzle?"

"And what happened to the four operations you wrote about the addition, subtraction, multiplication and division?"

"This is actually very simple to explain." Lu Yuan smiled: "First, the four operations of subtraction, addition, multiplication and division are to teach us the basic concepts of Arabic numerals, as well as addition, subtraction, multiplication and division."

"Otherwise, whether I write the lowercase letter of e or use Arabic numerals to express this transcendent number, it is not something that this stone, or the essential bronze door can understand."

"Maybe it can understand, but I don't want to take this risk." Lu Yuan said.

Su Mei nodded uncontrollably. Yes, if the bronze door had enough intelligence and computing power, then it would be clear that these passwords written by Lu Yuan could be cracked.

Because mathematical laws can be said to be one of the relatively stable basic laws in this world.

For example, one plus one equals two, for example, one multiplied one equals one.

In this world, it can be said that in a sense, mathematical laws are laws that are even more underlying than physical laws, and are also a basic discipline that almost all civilizations in this universe will not miss.

The only thing to consider is probably the expression of the digits and numbers.

If the operator symbols and numbers written by Lu Yuan are actually treated as a riddle or unknown number, as long as the sample is large enough, the relationship between them can be easily calculated, including the references of Arabic numerals and what those operator symbols represent.

After teaching the basic concepts of bronze doors, Lu Yuan’s next answers were recognized by the bronze door.

"What did you think of it?" Su Mei asked in surprise after he communicated these things.

"Probably out of machine programming intuition?" Lu Yuan shrugged and smiled: "The machine language used by machines cannot be understood by humans. Similarly, human language cannot be understood by machines. The so-called programming language that connects the two is the so-called programming language."

"The addition, subtraction, multiplication and division are not only the basis of mathematics, but also a language that is very suitable for basic programming languages."

Lu Yuan explained this.

Su Mei looked at Lu Yuan: "Okay, I understand this."

"So why do you determine that the base e of natural logarithm is the answer to this puzzle?"

"Because if I were them, I would choose to try to examine something that is universally applicable." Lu Yuan said: "For example, the three laws of mechanics in classics have the movement of stars as their greatest multiples."

"Pi controls almost half of the geometric world."

"But relatively speaking, the base of natural logarithm rarely appears in daily life, at least we generally don't see it."

"It was born too late, and it did not have those allusions that were talked about for people to chew and taste like Pi."

"But in fact, there are some things that exist from the day that exists in nature."

“It will always be there.”

"The bottom of natural logarithm is such a universal mathematical concept, one of the most important constants in the mathematics world."

“Because it discusses the limits of natural growth.”

Su Mei didn't say anything, and at this time she chose to listen quietly.

"If you make an assumption, we imagine an ideal physical model." Lu Yuan said with a smile: "We don't imagine a smooth plane, or a small ball without volume, we imagine a cell."

"A cell that can divide."

"If this cell is supposed to divide once a day, how many cells will be there the next day?"

"Two." Su Mei replied.

Lu Yuan nodded: "Yes, two."

"This is a normal splitting mode, that is, the legendary exponential splitting. Even if the cell only divides once a day, then sixty days later, it will cover all its offspring throughout the world."

"This is the terrible thing about life proliferation."

"Almost all life in nature has the instinct to reproduce offspring, otherwise it would not be able to pass on its genetic material, which would mean extinction."

"However, there is no life in this world that has been able to continue to this day since its birth."

"How can there be immortality in the world?"

"That's the reason."

"Based on this cognition, we assume that this cell wants to reproduce as quickly as possible, but in the same way, it must follow some rules."

“For example, it can double its own a day.”

"Then it's twice the next day."

"But if it grows by half of its own one-half day, then the first half of its day will have 1.5, and the second half of its day will have 2.25, right?"

"We'll do it like that."

"If it grows by a quarter of its own one-quarter of its day, then the final answer is 2.44 and a little more."

"Then if one-eighth of your own one-eighth day, then the final answer will still increase."

"We will get a rule that if we divide unlimitedly and make this unit of growth smaller unlimitedly, the number we get will get bigger and bigger."

"However, no matter how big this number is, it will have a limit. Even if we divide the number infinitely and multiply it by infinite ones, in the end, the number we get will not exceed 3."

"Of course, if we really divide infinitely and multiply infinitely, then the number we get is the so-called natural logarithm, which is the second transcendent number in nature besides π."

“e.”

"It represents the limit of natural growth and is also something that can reveal the most fundamental secret of life."

"Of course, since there are no such cells that can proliferate infinitely in real operations, we usually use it to calculate interest, because only interest can increase endlessly."

"It's just that humans who are too lazy have never thought of calculating interest in hours, minutes, seconds or even smaller units of time."
Chapter completed!
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