Throne of Magical Arcana

In the villa surrounded by flowers, Milina was looking at Lucien's thesis on proving the compatibility of tower geometry and Levsky geometry with the unit circle. She was once again shocked by the beauty of mathematics. After a long time, she wrote:

"Wonderful idea, concise argument, fully demonstrated the beauty of mathematics to us, and also proved the compatibility of Levsky's new geometry and tower geometry, irrefutably announced the establishment of the new geometric system, overturned the The mathematical world composed of realistic experience and intuitive understanding reveals another path for the development and demonstration of mathematics."

"This paper plays a very important role in proving the establishment of the new geometric system. The mathematical ideas contained in it are worthy of our exploration. It has a certain degree of groundbreaking. The establishment rewards 40 arcane points and 500 arcane points."

Milina gave the evaluation results in strict accordance with the review standards, and did not let her preferences play a role. Otherwise, as an authority in the field of mathematics and a mathematician, she would definitely give a higher rating to this kind of paper full of mathematical beauty. evaluation and rewards.

…………

Almost at the same time, Salgueiro was also reviewing Lucien's "An Attempt to Interpret Non-Tower Geometry":

"The paper gives a mathematical model that violates intuitive understanding but actually exists. It has made a breakthrough contribution in proving the establishment of Levsky geometry, and made us realize that this is indeed a fundamentally different geometry from tower geometry. A new geometry."

"In view of the breakthrough contribution of this mathematical model and proof process in the new geometry field, its very important position, and its content worthy of discussion and research, the establishment rewards 60 arcane points and 600 arcane points."

When he put down his pen, Salgueiro realized that the winter night had fallen, and the wind was howling outside, making it pitch black, but from this cold darkness, he seemed to see a little light, the light of the future development of the field of mathematics and science.

"If the new geometric system has real arcane meaning..."

"Evans' idea of ​​axiomatization seems interesting..."

…………

One week later, in the morning, Samantha came to the tower to study with the teacher as usual.

"Hello, Ms. Samantha." Several familiar low-level arcanists greeted Samantha after seeing her.

In the hall, the dome presents a thick darkness, inlaid with magical crystal lamps for lighting. They are distributed according to different galaxies and constellations, like a huge astrological map.

Samantha nodded solemnly but politely, and then said with a little doubt: "Leo, Gina, what are you doing here so early?"

As far as she knows, the teachers of these low-level arcanists, her friend, the fourth-level arcanist and fifth-ring astrologer Da Serra, never teach students on Fridays, and at this point in time, the tower The laboratories and libraries in the city have not yet opened, so there is no need to come so early.

"Ms. Samantha, don't you know? A notice was issued in the tower yesterday, and a new journal will be released today. We are all curious, so we came and waited in advance." Gina, who had a lovely round face, answered honestly.

Samantha spent the past two days watching the stars day and night in order to improve a certain new magic of her own, so she asked for leave and didn't come to the tower, so naturally she didn't hear about it. At this time, her expression was very serious The place changed for a moment, and he muttered to himself: "The new journal, is it the one that Lucien Evans wrote the inscription on?"

"No, I don't know." The chubby Leo, who was already fat in less than twenty-five years, shook his head blankly. Ms. Samantha seemed to know more than herself and others.

"Hi, Samantha, are you here to buy "Nature" too?" Rachel's brisk greeting came from behind Samantha. As soon as I saw her, I couldn't help but feel better.

Samantha showed a rare smile: "You too?" The two have completely opposite personalities, but they are very good friends.

Rachel deliberately sighed: "Yeah, as a member of the Arcane Review Committee, a high-level member of the tower, my teacher Ms. Isabella should have received the treatment of direct delivery, but she went out to explore and find new ones. The illusion materials are gone, so I can only poorly buy them myself."

Facing Rachel, Gina and the others obviously respected her more. Firstly, they were not familiar with her, and secondly, Rachel was the winner of the wizard laurels. The crystal-clear hairpin on her flaxen hair was very special. The foreign land shook their hearts.

"Do you know the content and inscription of "Nature"?" Samantha asked subconsciously, otherwise Rachel wouldn't have come to the tower so early, and she might not be able to buy it with her status?

Rachel looked at Samantha suspiciously: "I don't know, but as the first issue of a periodical, it is of commemorative and collectible value, especially if I bought it myself."

"..." Samantha realized that she had forgotten her friend's collection habit.

At this time, the tower library behind the reception desk opened, and two female magic apprentices in charge of the reception moved out several stacks of thick black leather books.

"Phew, I have to see where this subsidiary journal of "Astrology" is headed." Rachel said to Samantha curiously, while pulling her towards the reception desk quickly.

Samantha showed an expression of reminiscence: "It should be related to mathematics?" This was mentioned by her teacher Nessica occasionally, and when she helped the teacher return the review results, she had already seen the new article by Lucien Evans. Geometry papers, which deviated from common sense and inexplicable propositions made my mind swell, subconsciously resisted, and almost couldn't understand.

But soon, she was shocked by the mathematical model provided later, and she went back to read it carefully again. On the one hand, she refused to accept it from the bottom of her heart, and on the other hand, she was persuaded by the rigorous and self-consistent logic and the appropriate model, allowing her to experience an experience similar to The brain oscillating in the shaky cognitive world was in a state of confusion and contradiction. It took two or three days to slow down and begin to accept the fact that the new geometric system does exist.

"Oh, has Gaota finally decided to publish a thesis in the direction of mathematics? This is really an excellent thing!" Rachel became quite excited.

Magicians from high towers like them have more or less complicated feelings about the field of mathematics and physics.

"Girls, can I have two new journals?" Rachel took out her magic badge.

"Ms. Rachel, you don't have to be so polite." After getting the wizard laurel crown, there were very few people in the tower organization who didn't know Rachel. The two young girls hurriedly put the magic badge into the magic circle. The arcane points were deducted in the formation, while handing two new journals to Rachel and Samantha.

"It's so thick!" Amidst Rachel's exclamation, the serious and cold Samantha couldn't wait to look at the front of the journal. The teacher's words made her curious for a whole week!

The cover is modeled after "Arcane", with a deep black background, and silver lines outline mathematical symbols, formulas, theorems, numbers, and special geometric figures. They converge separately, like stars in a dark universe.

"Depict the reality of the world with the language of mathematics..." This is the meaning that Samantha directly associates with after seeing the cover, and she also believes that this is the real meaning.

In the starry sky, there is a huge silver-gray word "Nature", which is written in a special cursive style, and the ten letters are like a wonderful formula.

And below nature, there are rows of slightly smaller words:

"Your eyes can deceive you..." is right next to the number for the range of visible light.

"Your ears can deceive you..." Surrounded by the same numbers as the hearing range of the human ear.

"Your experience will deceive you..." followed by the simple but significant formula in calculus, 0.99999...=1

"Your imagination can also deceive you..." Beneath it are saddle-shaped hyperboloids and spherical-like surfaces.

Looking at it line by line, combined with the "patterns" deliberately dotted next to it, Samantha seems to understand the profound meaning contained in these simple words.

Her gaze moved to the end, and she saw a concise and powerful sentence:

"But math won't!"

This sentence is one size bigger than the previous ones, and there are no patterns beside it, but the mathematical symbols, formulas, theorems, etc. on the entire cover seem to provide evidence for it, creating an indescribable shock.

Samantha didn't know how others felt, but she knew very well that she seemed to have thought a lot and understood a lot, but she seemed to have thought of nothing and understood nothing.

Next to the last sentence is a cursive name: "Lucien Evans X".

"Is this his thinking and opinion on mathematics?" Samantha whispered to herself.

Rachel next to her fell into the same stagnation after she sighed "so thick". At this time, hearing Samantha's whisper, she quickly opened the journal and looked at the speech on the front page, and it became clearer. He clearly understood what Lucien wanted to express, and then quickly glanced through the following papers, letting out slight sighs and sounds of surprise from time to time.

After a long time, she woke up from her own world and sighed, "Is he still human?"

"Levsky geometry and Evans geometry, if they are placed in other magical fields, I don't know how many people's heads will be exploded. Even if I have seen the proofs and models behind it, I still can't believe it."

Then, she showed a fascinated and excited expression: "But I like his words very, very much!"

The surrounding low-level arcanists such as Gina and Leo also got the "Nature" journal, and were also deeply shocked by the inscription on the cover and the content on the front page, unable to speak. For the next four papers on the new geometric system, due to their own level, they only felt dizzy and couldn’t understand them in a hurry. They planned to concentrate on studying them after returning home, and study them slowly and carefully just like learning textbooks in the past.

…………

"... Ms. Florence, Mr. Gaston, my teacher, Mr. Larry, and others are very 'gratified' that you have turned your attention to the field of mathematics and physics, so that the arcanists of the council will be much safer. Alright, No kidding, they want you as much as I do to not delay in this new geometry that has no actual arcane and magical meaning, your talent, your talent should be in the elemental world, in the atomic structure, and the new geometry thing Leave it to the arcanists in the tower to continue their research, your friend K."

After the publication of the "Nature" journal, Lucien received many letters, some congratulating, some discussing, some invited him to go to the branch to organize lectures, and some friends half-congratulated and half-kindly persuaded. In their eyes, the new geometry without actual arcane and magical significance is best just a toy for Lucien in his spare time.

"The significance of the new geometry is more important and terrifying than you imagined, and the significance of the great development in the field of mathematics is the same." Lucien sighed, put away the letter, and told Annick, Heidi, and Spring who were waiting outside the door. Te, Katrina and other apprentices said, "Let's go for a walk in the garden together, and I'll listen to your latest research results by the way."

This is a way of free communication that Lucien stole from several physicists on Earth who are good at cultivating talents.

The remaining two shifts are still at the old time, seven o'clock and eleven thirty. .