Throne of Magical Arcana

In the villa surrounded by flowers, Milina was looking at Lucien's paper on using unit circles to prove the compatibility of tower geometry and Levsky geometry. Once again, she was shocked by the beauty of mathematics. After a long time, she wrote:

"Wonderful ideas and concise arguments have fully shown us the beauty of mathematics, and at the same time proved the compatibility of Levsky's new geometry with tall tower geometry, irrefutably announced the establishment of the new geometry system, and subverted The mathematical world constituted by real experience and intuitive understanding reveals another path for the development and argumentation of mathematics. "

"This paper has a very important position in proving the establishment of the new geometric system. The mathematical ideas it contains are worthy of our exploration. It has a certain groundbreaking nature and establishes reward arcane points of forty and arcane points of five hundred."

Mirina gave the evaluation results strictly in accordance with the auditing standards, and did not let her preferences play a role. Otherwise, as an authority in the field of mathematics and science, a mathematician, she will definitely give this paper full of mathematical beauty Evaluation and rewards.

…………

Almost at the same time, Salguero was reviewing Lucien's "An Attempt to Explain the Geometry of Non-Tower Towers":

"The paper presents a mathematical model that violates intuitive knowledge but actually exists. It has made a breakthrough contribution in proving the establishment of Levski geometry, which makes us truly realize that this is indeed a fundamentally different from the high tower geometry. A new geometric system. "

"Given the breakthrough contribution of this mathematical model and the proof process in the field of new geometry, and its very important status, as well as its own content that is worth discussing and researching, establish reward arcane points 60 and arcane points 600."

When he put down his pen, Salguero discovered that the winter night had come, and the wind was roaring outside, it was dark, but from this cold darkness, he seemed to see a little light, the future development of the field of mathematics and light.

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

"Evens's idea of ​​axiomatization seems a bit interesting ..."

…………

A week later, Samantha went to the tower as usual to study with the teacher.

"Hello, Ms. Samantha." Several familiar low-level arcanists saluted Samantha after seeing them.

In the hall, the dome presents a heavy darkness, inlaid with a magic crystal lamp for lighting. They are distributed according to different galaxies and different constellations, just like a huge astrological picture.

Samantha nodded politely but politely, and then slightly puzzled and said: "Leo, Gina, what are you doing here so early?"

To her knowledge, the teachers of these low-level arcanists, her friends, the fourth-level arcanist and the fifth-ring astrologer Dassella, never taught students on Friday, and now at this time, the tower The laboratory and library inside are not yet open, and there is no need to come so early.

"Ms. Samantha, don't you know? Yesterday Tane issued a notice, and today there will be a new journal issue, we are very curious, so come and wait in advance." Round-faced cute Gina answered honestly.

Samantha spent the first two days staring out at night to improve some of her new magic, so she did n’t come to the tower to ask for leave, so naturally she did n’t hear about it. It changed in a timely manner and muttered to himself: "Is the new journal the Lucian Evans inscription?"

"No, I don't know." Leo, the little fat man who had been blessed less than twenty-five, shook his head blankly. Ms. Samantha seemed to know more than herself and others.

"Hi, Samantha, are you also coming to buy" Nature "?" Rachel's cheerful and lively hello came from behind Samantha, she was always so youthful, full of vitality, giving the feeling of sunshine and making people When she saw her, she became involuntarily better.

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

Rachel sighed deliberately: "Yeah, as a member of the Arcane Audit Committee, the top of the tower, my teacher Ms. Isabella should have received the treatment of direct mail, but she went out to explore, looking for new The illusion material is gone, I can only buy it pitifully. "

In the face of Rachel, Gina and others were obviously more respectful. First, they were not familiar with her. Second, Rachel was the winner of the wizard ’s laurel. The crystal-clear hairpin that is currently carried on linen hair is divided into The external earthquake shook their hearts.

"You know the content and inscription of" Nature "?" Samantha asked subconsciously, otherwise Rachel didn't need to come to the tower so early, and she was afraid to buy it in her status?

Rachel looked at Samantha in doubt: "I don't know, but as a journal's inaugural issue, how commemorative and collectible it is, especially when I bought it myself."

"..." Samantha found herself forgetting her friend's addiction.

At this time, the high tower library behind the reception desk opened, and the two female magic apprentices who were responsible for the reception removed a stack of thick black leather books from inside.

"Huh, I have to look at the direction of this" Astrology "affiliated journal." Rachel cried to Samantha curiously as she dragged her to the reception desk.

Samantha's expression of recollection: "Should it be related to math?" This was occasionally mentioned by her teacher Nesica, and when she helped the teacher return the review results, she had already seen the piece by Lucien Evans The New Geometry thesis was swollen by the inexplicable proposition that deviated from common sense, subconsciously resisted, and almost couldn't understand it.

But soon, she was shocked by the mathematical model provided later, and looked back and read it again. Then, 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 self-consistent logic and the appropriate model, letting her experience a similar The shaking of the brain in the cognitive world was in a state of daze and contradiction. It only took two or three days to slow down and began to accept the fact that the new geometric system does exist.

"Oh, has Tower finally decided to do a thesis in mathematics and science? This is really an excellent thing!" Rachel became quite excited.

Their magician, who was born in a tower, has more or less complex feelings in the field of mathematics and science.

"Two girls, can you come to two new journals?" Rachel took out her magic badge.

"Ms. Rachel, you don't have to be so polite." After receiving the wizard's laurels, the tower group was very few people who didn't know Rachel. The two young girls scrambled to put the magic badge into magic After deducting arcane points, he handed over two new journals to Rachel and Samantha.

"So thick!" In Rachel's sigh, the serious and deserted 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 on "Arcane", with deep black as the background, and the silver lines outline the mathematical symbols, formulas, theorems, numbers, and special geometric figures. They are converged separately, like stars in the dark universe.

"Draw the truth of the world in mathematical language ..." This is Samantha's direct association with the meaning after seeing the cover. 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 floral form, and ten letters are like a wonderful formula.

And under nature, there are a few rows of slightly smaller words:

"Your eyes will deceive you ..." Next to it is the number in the visible range.

"Your ears will deceive you ..." The numbers around the hearing range of human ears are also around.

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

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

Looking down line by line, with the intentionally embellished "pattern" next to it, Samantha seemed to understand the profound meaning of this simple discourse.

Moving her gaze to the end, she saw a simple and powerful sentence:

"But math doesn't!"

This sentence is one size larger than the previous ones, and there is no pattern next to it, but the mathematical symbols, formulas, theorems, etc. of the entire cover seem to provide proof for it, highlighting the unspeakable shock.

Samantha doesn't know what other people feel, but she knows that she seems to think a lot and understands a lot, but she seems to have thought nothing and nothing.

Beside the last sentence, there is a syllabic name: "Lucien Evans X".

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

Rachel next to her fell into the same stagnation after giving a "good" sigh. At this time, she heard Samantha's whisper, she quickly opened the journal and looked at the speech on the front page to make it clear Understand what Lucien wanted to express, and then quickly scanned the following papers, from time to time with a slight sigh and consternation.

After a long time, she seemed to wake up from her own world and sighed: "Is he still human?"

"Levsky geometry, Evans geometry, if placed in other magic fields, I don't know how many people's heads will burst, even if I have seen the proof and model behind, it is difficult to believe."

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

Gina, Leo, and other low-level arcanists around them also received the "Nature" journal, which was also deeply shocked by the inscription on the cover and the content of the home page, which was beyond words.In the following four papers on the new geometric system, they are hampered by their own standards. They only feel dizzy and can't understand it in a hurry. They plan to wait and go back to concentrate on the study, just as slowly and carefully as the past study textbooks.

…………

"... Mrs. Florence, Mr. Gaston, my teacher Mr. Larry, and others are very 'comfortable'. You turned your attention to the field of mathematics, so that the Arcanists in the council will be much safer, well, No kidding, they like me, I hope you do n’t delay in this new geometric field that has no practical arcane and magical significance, your talent, your talent should be used in the elemental world, in the field of atomic structure, and the new geometric things Let the Arcanists in the tower continue to study, your friend K. "

After the publication of the journal Nature, Lucien received many letters, congratulations, discussions, invitations to the department to organize lectures, and friends who were half congratulated and praised and well persuaded.In their eyes, the new geometry without actual arcane and magical meaning is best just Lucien's free time toys.

"The significance of the new geometry is greater and more terrifying than you think, and the same is true of the great development in the field of mathematics." Lucian sighed, put away the letter, and waited for the door, Annick, Heidi, Spring Apprentices like Kat and Katrina said, "Let's go for a walk in the garden together. I'll listen to your recent research results."

This is a way of free communication that Lucien has stolen from several physicists who are good at training talents.