Chapter 6 Flow Arithmetic and Infinite Series (10)
Ella lay quietly on the broken earth, staring at the void with nothing in it. Her mission had been completed, and she didn't know where she was going.
As time went by, her spirit body recovered more and more completely. She thought of the Ancient Abrahamic Church, the Orthodox Church of Abraham, the Carrot Act and the Pants Act of the Count of Île-de-France, and that she came to Aleman
A trader in the Nigerian Federation remembered that he was the King of Sweden - and then, he remembered that he was Baselisa.
As his consciousness gradually became clearer, everything he had seen following Jochebed became more and more like a dream.
Gradually, the earth, mountains and rivers appeared in this empty world. A full moon hung in the sky, and many stars moved around it.
Suddenly, a voice rang in her ears:
"Why are you still lying here? Everyone has been waiting for you for a long time."
Ella sat up in confusion. She saw a middle-aged man wearing a toga, with a beard as thick as a philosopher and a pair of piercing eyes.
"Who are you?" Ella asked.
The man replied: "My name is Apollonius."
Apollonius was a great mathematician of the same generation as Archimedes. His book "On Conics" was the first to give names such as parabolas, ellipses, and hyperbolas in the book, and listed the names of these conic sections
The nature net is exhausted.
"Apollonius? Didn't you already exist more than a thousand years ago...are you a spirit body floating in the world? Or is this the kingdom of heaven after the death of the soul?"
"Both and none... let's go, everyone has been waiting for you for a long time."
After saying that, he turned and left. Ella took a few steps to catch up with him and asked, "Where are we going?"
Apollonius pointed to a high mountain in the distance: "There."
"What mountain is that?"
"That is the mountain of mathematics, which leads directly to the throne of heaven."
"The throne leading to the sky? But we are on the seventh heaven?"
"Yes. And no. Remember: 'Everything is shaped by the mind. As it is in the sky, so it is in the world.' The mountain is a mountain that only you can see, and I am also a me that only you can see."
"All that exists is shaped by the mind?"
Ella repeated this sentence several times, but still didn't understand it.
They passed through a grassland, a desert, a swamp, and crossed several rivers. When they were about to reach the foot of the mountain, an abyss blocked them.
"Is the road broken?"
"There is no such mountain in the world, but man has created this mountain. There is no road leading to this mountain in the world, but man has created the road."
"Man has created a way?"
Apollonius motioned to Ella to look carefully at the abyss - there were two iron cables running across it, leading to the north and south sides of the mountain respectively.
"Pythagoras created the road on the left, which is called number. Euclid created the road on the right, which is called geometry. Since then, all mathematicians have relied on these two iron ropes to reach the mountain of mathematics.
.Remember, depending on the path you choose, the scenery along the way will also be different.”
Ella nodded: "I understand."
She walked to the two iron ropes, looked to the left, then to the right, and finally stared at the gap between the two iron ropes.
"Since roads are created by people, then I will create the middle one. Its name is - analytic geometry."
As her voice fell, a series of wooden planks were placed between the two iron cables, forming a bridge.
Apollonius nodded with satisfaction: Very good, a third way has indeed appeared. My mission ends here, step on it and move forward, a coronation ceremony will be held for you."
Crossing the wooden bridge, Ella met another person. He was also wearing a toga, and he was holding an extremely gorgeous cloak in his hand.
"O climber, you are about to reach the pinnacle of human wisdom. Put on this cloak."
Before Ella could react, he had already put the cloak on Ella and fastened the buckle on her chest.
"Remember, from this moment on, everything under your feet is number. It is the essence of all things, the mother of the gods, the universal origin. Its nature will prevent people from exploring it, but the mountain has already
There are many footprints left, and with the help of them, you can move forward safely."
Ella took a few steps forward, suddenly remembered something, turned around and asked, "Who are you?"
"Pythagoras."
"Pythagoras?" Ella was surprised, "Aren't you the leader of the Pythagorean school... Why are you at the foot of the mountain?"
Pythagoras closed his eyes and sighed helplessly: "I can't move forward because I'm afraid of it deep in my heart. Go up the mountain alone, there are two people waiting for you on the mountain."
Ella thanked her and continued to climb up. At first, the ground was covered with footprints, but as the height increased, the footprints became sparser and sparse. When she reached the mountainside, the front was even covered with a thick layer of fog.
of fog.
The third mathematician was waiting for him on the mountain. He was holding a scepter in his hand. When Ella arrived, he bowed and said: "I am Euclid, the father of geometry. In front of me is Euclid.
There are so many fogs. If you want to continue climbing up, you have to find your own way, but it seems that you have found a way to solve these fogs."
Ella nodded: "My intuition in geometry is not as good as that of my master Gottfried. So I found my own stupid way. Using coordinate axes and functional expressions, geometric problems are just more complicated.
It’s just a math problem.”
Euclid nodded and handed the scepter to Ella's hand.
"Keep climbing. There is a warrior trying to harness infinity waiting for you there for a thousand years."
Ella put on her cloak and held her scepter, and continued to climb up. The temperature became lower and lower, and finally, there was even snow on the road.
As Euclid said, there was an old man standing there holding a crown. Perhaps he had waited too long, and his hair, beard, and shoulders were covered with white snow.
Ella had seen this old man in the portrait. She shouted in a voice that was about to cry with excitement: "Archimedes? Is that you?"
Hearing Ella's voice, Archimedes stirred, shook off the snow on his body, and said in a voice that was so excited that he finally... after a thousand years, someone finally came here. My child, you can control it.
It’s infinite, right? Come, come, kid, you have taken off the crown of mathematics, let me crown you!”
The crown was inlaid with a huge pearl, which was more dazzling than the crown that Ella wore in the Seven Hills Empire. Ella bowed her head, and Archimedes put the crown on her head.
At the same time, he whispered in Ella's ear:
"Remember, you are still just a mortal."
The coronation was over. Archimedes pointed to the higher point of the mountain and said to Ella: "Go up. Although you still cannot reach its top, there is a throne reserved for you above!"
Ella walked up a few steps and suddenly turned back and asked: "Archimedes, can you do magic?"
Archimedes was stunned for a moment: "Yes, why do you ask this?"
“∫??f(x)dx=f(b)-f(a)”
Ella tried reciting the formula, but nothing happened. It turned out that everything before was just an illusion seen by her spirit body under the influence of Jochebed, which was no different from a dream.
Although she had expected it, at that moment, Ella still had an expression on her face that looked like she was about to cry.
"Sure enough... I'm the only one who doesn't know magic."
She lowered her head and took the crown off her head.
Archimedes saw this and shook his head.
"Son," he said, "do you know when I learned magic?"
"Early adulthood? Or earlier?"
"It was when I realized my own powerlessness and surrendered to the infinite."
Ella raised her head in surprise. Archimedes smiled, stretched out his rough hand and touched Ella's head, as if touching his own child.
"Child...I hope you never learn magic."
"But...but magic..."
Archimedes gently pressed Ella's mouth with an index finger.
"Child, you think people who can use magic are very powerful, don't you?"
Ella nodded her head unwillingly.
Archimedes laughed again.
"Then let me tell you something interesting - a little trick that can trick the magician into the palm of his hand."