Throne of Magical Arcana

In the villa surrounded by flowers, Milina was watching Lucien using a unit circle to prove that the tower's geometry is compatible with Levsky's geometry. Once again shocked by the beauty of mathematics, after a long time, she wrote:

"Wonderful ideas and concise demonstrations have fully demonstrated the beauty of mathematics, and at the same time proved the compatibility of Levsky's new geometry with the tower's geometry, and irrefutablely announced the establishment of a new geometric system, subverted The mathematical world composed of real experience and intuitive understanding reveals another path for the development and demonstration of mathematics. "

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

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

…………

At almost the same time, Salguero was reviewing Lucien's "An Attempt to Explain the Non-High-Tower Geometry":

"The thesis presents a mathematical model that violates intuitive understanding but actually exists. It has made a breakthrough contribution in proving the establishment of Levsky geometry. Let us really realize that this is indeed a fundamentally different from the geometry of high towers. New geometry. "

"Given the breakthrough contribution of this mathematical model and proof process in the field of new geometry, the very important position, and what it is worth to explore and study, establish a reward of sixty arcane points. Six hundred arcane points."

When he put down his pen, Sarghero realized that the winter night had come, and the sound of the wind outside was dark and black, but from this cold darkness, he seemed to see a little light, and the future development of the mathematical field was bright.

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

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

…………

In the morning a week later, Samantha went to the tower to follow her teacher as usual.

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

In the hall, the dome was dark. Inlaid with a magic crystal lamp for lighting. They are distributed according to different galaxies and different constellations, like a huge astrological chart.

Samantha nodded solemnly but politely, 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, fourth-level arcanist and fifth-circle astrologer Da Serra, never taught students on Fridays. At this point in time, the laboratory and library in the tower are not yet open, so there is no need to come so early.

"Ms. Samantha, don't you know? Tane issued a notice yesterday, and a new journal will be released today. We are all curious, so we wait in advance." Gina, with her lovely face, answered honestly.

Samantha stared at the sky day and night in the past two days in order to improve one of her new magics. Therefore, she did not come to the tower and naturally did not hear about it. It changed a bit and murmured to himself, "Is the new journal the one with Lucien Evans' inscription?"

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

"Hey, Samantha, do you come to buy" Nature "?" Rachel's brisk greeting came from behind Samantha. She was always young, full of vitality, giving people a sense of sunshine and people. When she saw her, she couldn't help herself.

Samantha gave a rare smile: "You too?" The two had opposite personalities, but they were very close friends.

Rachel deliberately sighed: "Yeah, as a member of the Arcane Audit Committee, the high-level of the tower, my teacher Ms. Isabella should have been sent directly, but she went out to explore and find new The illusion materials are gone, and I can only buy them poorly. "

In the face of Rachel, Gina and others obviously have more respect. Once they are not familiar with her, Rachel is the winner of the wizard's laurel. At present, the crystal-clear hairpin on the linen hair is divided. The external earthquake shook their hearts.

"Do you know the content and inscription of" Nature "?" Samantha asked subconsciously, otherwise Rachel didn't have to come to the tower so early, because she was afraid she couldn't buy it?

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

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

At this moment, the high-tower library behind the reception desk was opened, and the two female magical apprentices in charge of the reception carried a few stacks of thick black leather books from it.

"Huh, I have to see what direction this affiliated journal of Astrology is." Rachel said curiously to Samantha, and dragged her towards the reception desk.

Samantha's expression of recall: "Should it be related to mathematics?" This was mentioned by her teacher Nessica occasionally, and she had already seen Lucian Evans's article when she helped the teacher return the review results. The new geometry thesis was swollen by the inexplicable proposition that departed from common sense, and subconsciously resisted, almost incomprehensible.

But soon, she was shocked by the mathematical model provided later, and read it again carefully. Then she refused to accept it from the bottom of her heart, and was persuaded by a rigorous and self-consistent logic and appropriate model. The shaken brain of the cognitive world is in a state of perplexity. It only slowed down after two or three days and began to accept the fact that the new geometric system does exist.

"Oh, has the tower finally decided to do a dissertation in mathematics and physics? This is really a wonderful thing!" Rachel became quite excited.

They are towering magicians who have 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 getting the wizard's laurel, there are very few people who don't know Rachel inside the tower organization. Arcane points were deducted in the field, while two new journals were handed to Rachel and Samantha.

"It's so thick!" In Rachel's sigh, the serious and deserted Samantha couldn't wait to look at the front of the journal, and the teacher's words made her curious for a whole week!

The cover is modeled after Arcane, with dark black as the base, and the silver lines outline mathematical symbols, formulas, theorems, numbers, and special geometric figures, which converge separately, like the stars in the dark universe.

"Depicting the reality of the world in mathematical language ..." This is Samantha's direct association with meaning after seeing the cover. She also believes this is what it really means.

In the stars. There is a huge silver-grey word "nature", which is written in a special flower form, and the ten letters are like a wonderful formula.

Below nature, there are a few smaller rows of words:

"Your eyes will deceive you ..." There is a number in the visible range next to it.

"Your ears will deceive you ..." There are numbers around the human ear's hearing range as well.

"Your experience will deceive you ..." followed by simple but significant formulas in calculus. 0.99999… = 1

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

Look down line by line. Combine the "patterns" deliberately dotted next to it. Samantha seemed to understand the profound significance of this simple discourse.

Her eyes moved to the end, and she saw a concise 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. However, the mathematical symbols, formulas, theorems, etc. on the entire cover all provide evidence to support it, and set out an inexplicable shock.

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

Next to the last sentence, there is a flower-written name: "Lucien? Evans? X".

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

Rachel, who was next to her, fell into the same stagnation after sighing "good thick". At this time, hearing Samantha's whisper, she quickly opened the journal and looked at the speech on the front page, which became clearer. He understood what Lucien wanted to express, and then glanced quickly through the following papers, and from time to time he gave a slight sigh and amazement.

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

"If Levsky geometry and Evans geometry are placed in other areas of magic, I don't know how many people's heads will burst, even if I have seen the later proofs and models, it is hard to believe."

Then she showed a look of excitement and excitement: "But I like his words very much!"

The lower-level arcanists such as Gina and Leo also received the journal Nature, and were also deeply shocked by the inscription on the cover and the content of the homepage ~ www.readwn.com ~ can not be said. The next four papers on the new geometric system, because of their own standards, they felt dizzy and couldn't understand between them in haste. They planned to concentrate on the research after returning, just as slowly and carefully as the learning materials in the past.

…………

"... Ms. Florence, Mr. Gaston, my teacher, Mr. Larry and others are very 'gratified' that you have turned your eyes to the field of mathematics and physics, so that the Arcanists of the Council will be much safer, okay, No kidding, they, like me, hope you do n’t delay in this new field of geometry that has no practical arcane and magical meaning. Your talents and your talents should be used in the world of elements, in the field of atomic structures, and in new geometry. Just leave it to the Arcanists of the High Tower to continue your research, your friend k. "

After the publication of the journal Nature, Lucien received numerous letters, some were congratulated, some were discussed, some were invited to the branch to organize lectures, and some friends were congratulated and praised and kindly persuaded. In their eyes, the new geometry without actual arcane and magical meanings was best just a toy for Lucian in his spare time.

"The significance of the new geometry is greater and more horrifying than you think, and the significance of the development of the mathematical field is the same." Lucian sighed, put away the letter, and waited for Annick, Heidi and Spring waiting outside the door. Te, Katrina and other apprentices said, "Let's go for a walk in the garden together. I will listen to your recent research results by the way."

This is a free way of communication that Lucian stole from the few physicists on the planet who are good at training talents. (To be continued ...)

ps: The remaining two changes are still old time, seven and eleven thirty. .