In the flower-lined villa, Mirina was looking at Lucian's thesis on proving the compatibility of tower geometry and Levsky's geometry with unit circles, and was once again shocked by the beauty of mathematics.
"The wonderful conception and concise argumentation fully demonstrate the beauty of mathematics to us, and at the same time prove the compatibility of Levsky's new geometry with tower geometry, irrefutably announcing the establishment of the new geometric system, subverting the mathematical world composed of real experience and intuitive understanding, and revealing another path of mathematical development and argumentation."
"This paper plays a very important role in proving the establishment of the new geometric system, and the mathematical ideas contained in it are worth exploring, and it has a certain degree of pioneering, establishing a reward of 40 arcane points and 500 arcane points."
Otherwise, as an authority in the field of mathematics and a mathematician, she would definitely give higher evaluations and rewards to this kind of paper full of mathematical beauty.
…………
Almost at the same time, Salghero was also reviewing Lucian's "Attempt at Geometric Interpretation of Non-Towers":
"The paper gives a mathematical model that defies intuitive understanding but actually exists, making a breakthrough contribution to proving the establishment of Levsky geometry, making us truly realize that this is indeed a new geometric system that is fundamentally different from tower geometry."
"In view of the groundbreaking contribution of this mathematical model and proof process in the field of new geometry, its very important position, and its own content worthy of exploration and research, the establishment of a reward of sixty arcane points and six hundred arcane points."
When he put down his pen, Salghero realized that the winter night had fallen, and the wind was howling outside, 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 geometry system has real arcane significance......
"Evans' ideas about axiomatization seem a bit interesting......"
…………
A week later, in the morning, Samantha went to the Tower to study with her teacher as usual.
"Hello, Ms. Samantha." Several familiar low-level arcanists saluted and greeted Samantha one after another.
In the hall, the dome was thick and dark, inlaid with magic crystal lamps for lighting, which were distributed according to different galaxies and constellations, like a huge star map.
Samantha nodded seriously but politely, and then said with a slight doubt: "Leo, Gina, what are you doing here so early?"
As far as she knew, the teachers of these low-level arcanists, her friend, the fourth-level arcanist and five-ring astrologer Dasella, never taught students on Fridays, and at this point in time, the laboratory and library in the tower were not open yet, so there was no need to come so early.
"Ms. Samantha, don't you know? Yesterday the tower issued a notice that a new journal will be released today, and we are all curious, so we came and waited in advance." Gina, who has a cute round face, answers honestly.
Samantha had been stargazing day and night for the first two days in order to improve her new magic, so she took leave and did not come to the tower, so naturally she had never heard of such a thing.
"No, I don't know." Leo, the fat little man who had already gained weight before twenty-five, shook his head blankly, and Ms. Samantha seemed to know more than herself and the others.
"Hi Samantha, are you here to buy Nature too?" Rachel's light and lively greeting came from behind Samantha, she was always so youthful and energetic, giving people a sunny feeling, which made people feel better when they saw her.
Samantha showed a rare smile: "You too?" The two have diametrically opposite personalities, but they are very good friends.
Rachel sighed deliberately: "Yes, as a member of the Arcane Review Committee and a high-ranking official of the tower, my teacher, Ms. Isabella, should have been treated as a direct delivery, but she went out to explore and find new illusion materials, so I had to pitifully buy it myself."
Facing Rachel, Gina and the others obviously respected her even more, firstly, they were not familiar with her, and secondly, Rachel was the winner of the wizard laurel, and the crystal-clear hairpin on her current linen hair shocked their hearts.
"Do you know the content and inscription of "Nature"?" Samantha asked subconsciously, otherwise Rachel didn't need to come to the tower so early, and with her status, she was afraid that she wouldn't be able to buy it?
Rachel looked at Samantha suspiciously: "I don't know, but as the first issue of a journal, how commemorative and collectible it is, especially if I bought it with my own hands."
"......" Samantha finds herself forgetting her friend's collecting fetish.
At this time, the tower library behind the reception desk opened, and the two female magic apprentices in charge of reception took out several stacks of thick black books from inside.
"Huh, I have to see what direction this subsidiary journal of "Astrology" is." Rachel said to Samantha curiously, pulling her quickly to the reception desk.
Samantha showed a reminiscence expression: "Should it be related to mathematics?" This was occasionally mentioned by her teacher Nessica, and when she was helping the teacher return the review results, she had already seen Lucian Evans' new geometry paper.
But soon, she was shocked by the mathematical model provided later, and looked back and read it carefully, and 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 rigorous and self-consistent logic and appropriate models, allowing her to experience a brain shock similar to the shaking of the cognitive world, and was in a state of confusion and contradiction.
"Oh, has Gaota finally decided to write a thesis in the field of mathematics and science? This is really a great thing!" Rachel became quite excited.
Magicians like them, who were born in tall towers, more or less have complex feelings about 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 Laurel crown, there were very few people in the Tower organization who did not know Rachel, and the two young girls hurriedly put the magic badge into the magic circle to deduct arcane points, while handing Rachel and Samantha two new periodicals.
"So thick!" Amid Rachel's exclamation, the serious and cold 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 a deep black background, and silver lines outline mathematical symbols, formulas, theorems, numbers, and special geometric shapes, which converge separately, like stars in a dark universe.
"The real ...... depicting the world in 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 flower form, and the ten letters are like a wonderful formula.
And below nature, there are a few rows of slightly smaller words:
Next to "Your eyes will deceive you...... is exactly the number in the visible light range.
"Your ears will deceive you......" is also a number of the hearing range of the human ear.
"Your experience will deceive you......" is 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 ball-like surfaces.
Looking at the line by line, combined with the deliberately embellished "patterns" next to it, Samantha seemed to understand the profound meaning of these simple words.
Her gaze moved to the end and saw a concise and powerful sentence:
"But math can't!"
This sentence is one size larger than the previous sentences, and there is no pattern next to it, but the mathematical symbols, formulas, theorems, etc. on the entire cover seem to provide evidence for it, highlighting the 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, there is a name written in flower font: "Lucian Evans X".
"Is this his thinking and view of mathematics?" Samantha whispered to herself.
At this time, hearing Samantha's whisper, she quickly opened the journal, looked at the speech on the front page, and understood more clearly what Lucian wanted to express, and then quickly skimmed through the papers behind her, letting out a slight sigh and astonishment from time to time.
After a long time, she seemed to wake up from her own world and sighed: "Is he still human?"
"Levsky geometry and Evans geometry, if they were placed in other magical fields, I don't know how many people's brains would explode, even if I have seen the proof and model behind, I 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 they were also deeply shocked by the inscription on the cover and the content of the homepage, and they couldn't speak. In the last four papers on the new geometric system, they only felt dizzy and unable to understand in a hurry due to their own level, planning to concentrate on their research when they went back, studying slowly and carefully like the textbooks in the past.
…………
「…… Ms. Florence, Mr. Gaston, my teacher Mr. Larry, and others are all 'pleased' that you have turned your attention to the field of mathematics, so that the arcanists of the council will be much safer, okay, no kidding, they hope like me that you will not delay in this new realm of geometry that has no actual arcane and magical meaning, your talents, your talents should be used in the elemental world, in the realm of atomic structure, and leave the new geometry to the arcanists of the tower to continue studying, your friend K."
After the publication of the journal "Nature", Lucian received many letters, including congratulations, discussions, invitations to the branch to organize lectures, and friends who were half congratulated and half kindly persuaded. In their eyes, new geometry without actual arcane and magical meaning is best just a toy for Lucian's leisure time.
"The significance of new geometry is more significant and terrifying than you think, and so is the significance of the great development of the field of mathematics and science." Lucian sighed, put away the letter, and said to Annick, Heidi, Splinter, Katrina and other apprentices waiting outside the door, "Let's go for a walk in the garden together, and I'll listen to your recent research results by the way."
This is a free communication method that Lucian stole from several physicists on Earth who are good at cultivating talents.
The remaining two watches are still old time, seven o'clock and half past eleven.
(End of this chapter)