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Chapter 6 Flow Arithmetic and Infinite Series (8)

Ella wondered for a long time: Is she a snail or a turtle?

No one has told her the answer to this question. From the moment she regained consciousness, she was in a large room with shelves filled with books. Who is she, how did she get here, she

I can't remember anything.

Having had a small house since birth, she could only think of snails and turtles.

So is she a snail or a turtle?

This question is crucial. If she were a snail, she would have to carefully avoid chickens, ducks and birds to avoid being eaten.

Fortunately, this room seemed quite solid, and there were no birds visible outside. So she hid in this large room and worked on her math problems with peace of mind.

Outside the room, Jochebed’s frantic prayers could be heard all the time:

"His throne shines before him, and his palaces shine with splendor."

"How appropriate his majesty is, His divine light adorns him."

“His servants counted his mighty powers and his wonders and sang to her: Lord of lords and King of kings.”

"He surrounds the sky with a halo, and his light flows from on high."

"Boundless fire bursts out from his mouth, and the sky shines from his body."

Flames and storms prevented Jochebed's spirit body, but with the help of mantras and prayers, he struggled to ascend to the heavenly palaces one after another. As the journey continued, fire ignited in his body, and his physical body changed.

To become a torch, he must stand without his hands and feet, because his hands and feet have been burned off - this is a test that must be passed, and if he lacks the necessary knowledge, he will be burned to death in the flames.

Ella's house was built on Jochebed's right shoulder, and they rose into the sky together under Jochebed's protection. Because she was so small, Jochebed didn't notice her at all. She really looked like Ella.

A small snail climbing the stems and leaves of a plant.

Although she had even forgotten her own species, Ella still vaguely remembered the end point and purpose of their trip: it was the seventh heaven, where they would measure infinity.

After the long journey and the burning of the fire, Jochebed felt his mouth go dry. When he was about to reach the supreme throne, he suddenly heard a sound - like countless torrents, or like a storm shaking the sea.

The sound of churning.

He walked towards the direction of the sound, where the waves were rolling and almost came up to drown him. His desire for water made him almost jump into the water.

However, he suddenly remembered a warning in "The Technique of Ascending a Chariot to the Sky":

“When you come to a place where there is shining marble, do not say, ‘Water! Water!’ for it is written, A liar will not be allowed to remain.”

He gritted his teeth and stepped directly towards the water as if he hadn't seen the water. Then, the illusory water disappeared, leaving only the ground inlaid with marble slabs.

In 600 BC, philosophers first began to think about the origin of all things. Thales was the first to propose the answer to this question. He told people: The origin of all things is water. This was unacceptable to those who believed in the only God.

Deny the water, this is the final test.

They have arrived at the palace of the Infinite.

Ella carefully walked out of the library. A thick curtain stood between them and the Supreme Being.

Two straws slowly fell from the sky and fell into the hands of Jochebed and Ella respectively. A voice said to them: Go and measure the gods.

Joki grabbed the straw excitedly and rushed towards the curtain. Because the movement was too big, Ella and her library were thrown directly down. "It hurts..." Ella shouted. It actually happened.

She did not feel pain in her physical state, but she wanted to express her protest against Jochibe in this way.

As soon as it fell from Jochebed, Jochebed disappeared from her eyes. This meant that she was freed from the interference of Jochebed's spirit body. In an instant, the marble floor and the curtain that blocked God disappeared.

She stood alone on a small patch of hot earth, surrounded by a huge abyss.

The abyss extends to the end of the world, and the abyss drops to the endless underground. Except for the small piece of land where Ella is located, everything is an abyss.

The roar of a monster came from under the abyss. Its scream penetrated Ella's eardrums, showing Ella a clear concept - that is its name: integral.

Integral means complete. That is an important property of infinity. Because only infinity that contains all possibilities is complete. In the teachings of the Abrahamic Church, this property is unique to God.

Recently, Gottfried gave the word integral a new meaning: integral.

Ella nervously grabbed the straw and walked to the edge of the earth. She looked down. At that moment, the beast opened its eyes - not one, not two, but from right below Ella to

The whole abyss of the farthest horizon is filled with eyes.

Those countless pairs of eyes slowly squirmed, crawling towards the top of the abyss and towards Ella.

Ella screamed and ran back to her library.

"Why do you need to measure something like this?"

The monster's terrifying scream penetrated the wall of the room and continued to reach her ears. Ella knelt on the ground, covering her ears and shaking her head vigorously.

Not to mention measuring, even getting slightly closer to this monster made her hair stand on end.

She gave up. In front of the infinite monster, she felt her personal insignificance. Even the earth she was standing on was nothing in front of the infinite abyss.

She began to read a book. She would do this whenever she wanted to calm down. She took out the book from the bookshelf aimlessly and flipped through it aimlessly. From "How to Build a Well" to "Isuli"

"Asian Recipes", turn to "Introduction to Fishing", "Common Beasts and How to Avoid Them"

Of course she knew the monster was outside the room, but as long as she closed the door and didn't think about it, she could pretend it didn't exist.

Her spirit body slowly recovered as time went by. She thought of differentials, integrals, Gottfried, and Sibersos who was thrown into the sea.

The sea passed before her eyes, and the ship full of mathematicians passed by. Yes... not just her, all mathematicians, everyone was escaping from infinity.

It is natural to be afraid of the infinite. If you get involved too much, you will awaken the devil.

Ella suddenly wiped her eyes.

What she was holding in her hand was an ordinary prayer book. It was a palimpsest. Its parchment scroll had been cleaned once, and the original text had been erased and replaced with the current content.

She had opened this book once before, but didn't pay much attention to it. But now, she suddenly noticed that under the words of these prayers, some vague geometric figures and mathematical texts could be vaguely seen.

She keenly recognized the incomplete signature: Archimedes.

"This is a method that has not been truly proven." Archimedes wrote in the opening book.

"The reason why I wrote it down is because for future generations, if someone has used this method to obtain some knowledge related to the problem, it will be easier to argue than if there is no knowledge basis.

It’s easier.”

In the following text, Archimedes elaborated on an incredible, even deviant, mathematical method. He integrated his lever principle into mathematics, and by imagining a lever, he divided the figure, put it in, and maintained it.

The balance on both sides of the lever is used to calculate the area of ​​the curve and the volume of the sphere.

In this method, Ella vaguely saw the shadow of points.

Integral calculus a thousand years ago.

"A 'crowbar' for solving mathematical problems. I have transcribed this method on parchment that is not easily damaged or decayed, hoping that it will pass through the sea of ​​time safely."

Archimedes wrote this at the end of his manuscript.

"People in front of the parchment, if you understand what I am trying to do, then I still have something to say to you."

"I have never been afraid of infinity. However, the field of mathematics never ends. Even I have to bow before infinity in the end."

"So, I choose to hand this 'crowbar' into your hands. I hope you can make good use of it and find many other theorems that I have not been able to discover. Then, use this crowbar from generation to generation.

Pass it on."

"Please believe that human beings will eventually be able to control infinity."

"Because it's there."


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