After learning that the necessary exams would be held tomorrow, the nervous-looking apprentices were led by the staff to the second floor and the fifth area, which was specially used for resting, and Rosa also needed to register with the Wizard Management Department, and everyone left the hall one after another.

"Is there anything else you can do?"

The gray-haired staff member put his fingers on the bracket of his nose and asked Victor, who was still standing in front of him.

"Mr. Athor, I have a paper on arcane research that I would like to submit to the 'Skethiti Arcane Review and Assessment Committee'......"

Before Victor's words were finished, Artor couldn't help but interject: "Apprentice, I appreciate your courage. But you may not know the rules and regulations of the committee, as a fledgling who has just embarked on the path of truth, you are not qualified to submit a paper for review! What's more, the requirements for the writing format and word count of the paper...... And some things to pay attention to, do you know? ”

Victor, who was interrupted, didn't care about the other party's questioning, and replied politely, "I have a letter of recommendation from an arcane judge on me. ”

"Letters of recommendation?" Surprised, Thor asked, "Can I take a look first?" ”

"Yes, sir."

Victor reached out and handed the letter of recommendation written by Rosa to the elderly staff member.

Tor carefully read the contents of the letter of recommendation, and then looked up to re-examine Victor with a new gaze.

"Apprentice, I don't know how you got recommended by Mr. Rosa, a level 6 arcanist, but I have to warn you! This letter of recommendation can only be used once, have you really decided to use it here? ”

"Yes, Mr. Athor, I'm sure!" Victor's tone was firm.

"Well, I hope you can take advantage of this opportunity." Aalto shook his head, "Young man, it's just impulsive......"

Obviously, he was not optimistic about Victor, but even so, Tor fulfilled his responsibilities in accordance with the rules and regulations.

"Apprentice, this is the parchment for writing your dissertation, and you need to re-copy your arcane research on it......"

As he spoke, Thor pointed to the lounge area across the counter, "You can go there and write, it's still quiet." Also, remember to hand me the paper before the Tower of Babel closes, otherwise, it will be tomorrow. ”

Victor took the parchment and bowed politely again.

……

Under the effect of the magic array, the empty rest area was unusually quiet. Victor sat in front of a square desk with quills and inkwells, spreading out the parchment.

Calming down, Victor retrieved the relevant information stored in the superbrain and concentrated on writing his first paper in this world:

"Analytic Geometry" Derived from the Application of the Three Laws of Motion to "Projectile Objects"

"Keywords: projectiles; Spell model; Analytic geometry; The Three Laws of Motion. ”

"The establishment of the modern magical system marks the beginning of the most intense intellectual activity in the study of our arcane arts, and the minds of the mages have untied the ropes from the ancient moorings and set sail on the vast ocean of exploration and truth."

"It is well known that since the establishment of the modern system of magic, there have been concrete advances in most mathematical subjects: algebra has produced elaborate symbolic systems; The solutions to cubic and quadratic equations have been mastered; Negative roots and even false roots are also recognized by the mages; Trigonometry is no longer a proprietary product of the astrological system, but has developed into an independent discipline......"

"But we have to look squarely at the fact that progress in geometry has been slow, or not progressive."

"When I was researching the zero-ring spell 'Projectile Object', I was inspired by His Excellency Grant Einstead's exposition of the three laws of motion, and after combining some of the research results of the legendary mage Mellon Ribis, I proposed a new method for analyzing the spell model and dealing with the projectile...... I call it 'analytic geometry'. ”

“……”

Following the writing pattern of the papers published in the journal Nature, Victor wrote his research straight to the point after briefly describing the current form of arcane development.

The reason why "analytic geometry" was chosen as the main body of the paper is that this application of pure mathematics does not involve esoteric knowledge, but is only a new tool, a powerful tool in the search for truth.

And Victor is just one of the lucky guys who discovered this tool, so that his doubts will be minimized. What's more, Victor vaguely revealed in his paper that he had a plausible relationship with the legendary mage Mellon Ribis and the president of the Magical Society, Grant Ainsted, which was also a necessary way to protect himself.

“…… Using the coordinate system as a reference point to determine the position of a point is one of the results of the Arcane Empire, but analytic geometry is not the same......"

"The trajectory of the 'projectile' can be listed by the guò algebraic equation...... Whenever we find two unknowns in the final equation, we get a trajectory with a straight line or curve tracing the tip of one of them. Straight lines are simple and unique, while curves are infinite in number, including circles, ellipses, and parabolas. ”

"If the top of the unknown that constitutes a trajectory describes a straight line or a circle, the trajectory is called a planar trajectory; When it depicts a parabola, hyperbola, or ellipse, it is called a three-dimensional trajectory; If other curves are described, they are called linear trajectories......"

"If two curves are referenced on the same axis and in the same coordinate system, their intersection is determined by the solution of their equations."

“……”

Combined with the information in the superbrain, Victor wrote his own analysis of the "projectile item" spell model and the motion trajectory equation of the projectile item on the parchment paper in detail.

Because Victor had spent a lot of time researching them, his writing process was easy.

When Victor finished the main body of the paper and wrote the conclusion, he thought for a moment before he continued writing.

"Through my study of the practical application of the three laws of motion to 'projectile objects', I was surprised to find that geometric problems can be reduced to problems in algebraic form, so that all algebraic methods can be used in solving them."

"Since the language of algebra is far more revealing than the language of geometry, many unexpected properties can be discovered by performing some algebraic transformations after the problem has changed......"

"As an apprentice mage, my knowledge and abilities are not yet able to do a deeper study of analytic geometry...... I sincerely hope that 'analytic geometry' will inspire you in your arcane research. ”

Gently blowing the ink on the parchment, Victor checked the paper several more times.

Finally, before the staff member Ator was about to leave the Tower of Babel, Victor handed him the parchment that had been sorted out.

"Apprentice, what is your thesis about?"

"Well, it should belong to mathematics."

Artor activated Victor's paper by placing it in a simple magic circle with the word "Astrology" written on it on the counter.

With a soft spell glow, the parchment vanished.

"Apprentice, you'd better not get your hopes up too much, after all, you've just embarked on the path of a mage, and there are still many opportunities in the future......"

Artor kindly nodded Victor, and he took out the magic pocket watch in his chest pocket and looked at it, "It's not early!" The results of the audit will be available tomorrow...... You should also take a break early. ”

"Thank you for your concern, Mr. Athor."

After saying a polite farewell to the elderly staff member, Victor returned to his guest room on the second floor of the fifth district.