In Archimedes' time, this was a mathematical message that no one could understand. So much so that the manuscript was purged and replaced by ignorant people with prayers.
However, the strong will remaining on the manuscript miraculously defeated time and finally came to Ella's hands safely.
Ella wiped away the tears that had filled her eyes for some time.
Then, she solemnly opened the door and stepped into the abyss.
"Come here, Infinite, I'm not afraid of you!" She shouted towards the abyss, "Give me a fulcrum and I can move the earth!"
Ella's voice angered the monster. Ella only saw a black mist rising upwards from the abyss. That fierce
The monster was hidden in the black mist. Soon, from the abyss to the clouds, the entire world in front of us was covered with black mist.
There were countless eyes exposed in the black mist, all of them staring at Ella.
Ella looked down at the straw in her hand and shook her head.
"This kind of thing cannot be measured to infinity."
She threw the straw on the ground. At the same time, a series of formulas appeared. They were glowing faintly in the dark mist, swirling around her - that was all the mathematical knowledge Ella had mastered so far.
They protected her from the darkness.
Ella stretched out a hand towards the black mist and chanted like magic: "Pythagoras' theorem."
A string of glowing formulas shot towards the black fog. After an explosive collision, the black fog became thicker and thicker. The thing in the black fog hit the land where Ella was. The earth was
A corner of it was broken in the trembling, Ella lost her footing and plummeted towards the abyss.
Ella stared hard at the countless eyes in the black mist and stretched out her hand in the air again.
“I’m not the only one challenging you!” she shouted, “try this—Archimedes’ integral method!”
The mathematical knowledge from Archimedes' manuscript flew into the black mist with dazzling light. Amid the explosion, an almost blinding flash shone between heaven and earth.
The black mist was dispelled, and the monster showed its shape in front of Ella: it was as black as a ball of liquid; it was so huge that it even topped the sky; it had eyes all over its body, and it was covered with eyes.
It has ears and tentacle-like arms all over its body. It is infinite, and people know nothing about it.
The disappearance of the black mist made it furious. It stretched out its tentacles to roll up Ella in the air and lifted her into the air. Ella could not bear its anger at all. Its tentacles only twisted slightly, and Ella was already
The fragmented spirit body was shattered again. Ella's eyes turned red, and she relied on her will to forcibly reunite the fragments into shape, but was bound by its tentacles again.
In the intense pain of being on the verge of disappearing, Ella bit the sticky tentacle hard.
"Knowledge from Mr. Gottfried - the formula for the sum of squares of infinite polynomials!"
The tentacles exploded, and Ella fell from the air to the ground. This further aroused the monster's anger. With an almost crazy scream, its entire body pressed towards the ground where Ella was like an overwhelming force.
.
The sum of squares formula alone is not enough. After using the exhaustion method to convert the integral into an equation, an infinite series of various powers appears. The sum of squares formula can only solve the tip of the iceberg.
Unless... beyond the sum of squares formula.
In Ella's mind, a series of mathematical proofs were going on quickly. Before the monster crushed the entire earth, Ella stretched out her hand with difficulty.
Taking the formula of the sum of squares of infinite polynomials as a special case, we can obtain a more general formula for the sum of positive integer powers above it!
"This is the most powerful attack I can use,"
After a crash like a mountain, a light that was more dazzling than any previous formula flashed out. Under the light of this light, the huge monster melted like an iceberg.
Ella laughed hard. In order to deal with this monster, she had exhausted all her talents.
However, before she could get up, the crazy screams suddenly came from all directions!
Ella only felt chills all over. She watched in horror as the points poured out from every direction, front, rear, left, and right, surrounding it like a cage. It turned out that the huge monster before was just a small part of its body.
It's just the part.
Nothing is left, the whole world is surrounded by this dark monster.
Ella cried. She was really helpless.
"God of Wisdom... If you really exist, if infinity can really be measured, then please show me a way."
This kind of pleading is meaningless. The god of wisdom is Hermes in the magic system of the Seven Hills Empire, but as far as Ella knows, Hermes' wisdom is completely reflected in alchemy. So what is "Jade Record"
》, the top comes from the bottom, the bottom comes from the top, etc., it has nothing to do with mathematics.
"The bottom comes from the top, and the top comes from the bottom?"
Ella suddenly realized something. He used countless figures to approximate the curve and calculated the sum of the areas of these infinite figures. This area summation operation in an infinite number of fields was discovered by Gottfried
Affectionately called 'Point' - that's the name of the monster in front of you.
If the integral belongs to "upper", then what should the corresponding "lower" be?
--differential.
In the void, the stone slab with the "Emerald Jade Record" engraved on it emerged. A voice like a god solemnly read the words on the "Emerald Jade Record":
——"This is the unquestionable truth"
——"The superior comes from the lower realm, and the inferior comes from the upper realm. The creation of miracles originates from one, just as all things are born from one and ruled by one."
Ella looked up at the monster that blocked the sky, and then looked at the inconspicuous differential at hand - it was lying quietly in the corner of a pile of mathematical formulas, glowing dimly.
The upper comes from the lower bound, and the lower comes from the upper bound. Could it be said that the integral comes from the differential, and the differential comes from the integral?
She grabbed it tentatively.
——“Rising from the earth to the sky, and descending from the sky to the earth.”
——"Thus, gain the power of the supreme and the inferior."
——"In this way, you can get the light within the light and escape from the darkness and ignorance."
In the reading of "Emperor's Record", a great god-like formula showed its shape between heaven and earth:
∫??f(x)dx=f(b)-f(a)
At that moment, the entire space was filled with light, as if a thousand suns had risen!
——"It can conquer all subtleties and drive away all roughness."
——"This is how the world was created, and there will be incredible changes from then on. And this is the method."
The infinite monster screamed, deformed and shrank under the same infinite light, and finally turned into a lake. Although it was still wide, it was no longer the monster that covered the sky and the sun before.
And the reading continued:
——"I am the triple great Hermes, because I possess the wisdom of three parts of the world."
——"This is the great work of which I am speaking."
