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Just when Reiner and Dana were busy designing new school uniforms, which made Claire deeply uncomfortable, Reiner's paper on polar coordinates also arrived on the review committee.

The alchemy creature in charge of distributing the paper scanned the content of the paper, checked the similarity rate, and then passed it to the three reviewers based on the extracted keywords.

One of them was Orb, a fourth-ring mage.

There were not many mathematics-related papers, so there was neither a dedicated office tower nor a fixed review committee. Orb's main research direction was the magic circles. He was trying to simplify spell models to optimize the learning of spells. So his mathematical foundation was good, that was why papers related to mathematics would be reviewed by him.

He was not tall and had the same name as a mage in the same class, so for a while, he was also teased by other people as "short Orb".

Orb woke up from a nap, opened the door of the office, and saw the papers delivered at noon.

Unlike many slovenly mages, Orb's desktop was very neat and everything was arranged in different categories. This may be the obsessive-compulsive disorder of the mages who studied the magic circles, and they must be neat and tidy before they could start working.

He sat down, picked up the bottle in his hand, and took a sip of the black drink in it. The stimulating gas made Orb suddenly energetic. This beverage called Coke had recently started to become popular among the mages of Rainbow Tower. The unique taste of it was deeply loved by these people who liked novel things, and Orb was no exception.

And the gift card of the mages had also become a collection of some quirky mages. They were not averse to this way of depicting the life of mages. On the contrary, some people thought of writing to manufacturers and making their own cards to increase their fame. Regarding this Orb declined to make any comments.

While he was drinking Coke while picking up the paper waiting to be reviewed on the table, Orb saw the author of the paper.

Reiner Ian Gray.

Orb instantly spat a sip of Coke, which immediately dirtied the neat desk and the cover of the paper, but he couldn't think that much at this time.

"Reiner Ian Gray!"

For decades, this was another mage who caused the cognitive collapse of the reviewers with his papers... Er, to be precise, it was a mage apprentice. Reiner Ian Gray's name already started to spread in the Rainbow Tower since he won the Hohenheim Golden Cup Award as a young mage apprentice.

In the cognition of many reviewers, this mage apprentice's paper should not be underestimated, and a little carelessness may lead to cognitive collapse.

Because of the incident caused by Reiner, some of the reviewers even called for the establishment of a complete protection mechanism to prevent such incidents from happening again.

Caring for life, protecting the review committee, please support the key breakthrough paper pre-marking bill. This was the slogan and the bill that some mages tried to pass in the Rainbow Tower.

Was it finally his turn?

Orb was scared, and he quickly threw the paper to the corner of the table, as if just a glance at the title of the paper would disrupt the magic flow inside his body.

It took about five minutes for Orb to calm down before he dared to take a peek at the title of the paper.

A research about a new coordinate system and the functional equations of ellipse, hyperbola, parabola, and other curves in this coordinate system.

Coordinate System? Curves? functional equations?

This was obviously a paper on mathematics.

As Reiner had learned, the number of papers on mathematics was extremely small, because there was no feedback from the world, and most mathematical theories were just simplified calculations, so few people would specialize in mathematics and publish papers.

Even the calculus thesis of His Excellency Isaris Alberton was just a subsidiary chapter to describe the three laws of motion established by him.

More importantly, since mathematics did not cause feedback from the world, and naturally would not cause cognitive collapse, so Reiner's paper could be said to be safe and harmless.

"Fortunately, it is a paper on mathematics."

Orb was relieved. He picked up the paper that had been wet by Coke.

"But, a new coordinate system?"

Before opening it, Orb frowned slightly.

It was well known that the Loire coordinate system proposed by His Excellency Andre Loire was currently the most widely used coordinate system, and its application in many spell models had been affirmed. If anyone wanted to propose a new coordinate system, they had to face the problem of coordinate conversion, and how to promote it was a difficult problem.

Orb opened Reiner's thesis with questions, and the neat format as always made the meticulous magic circle mage quite satisfied, but when he saw the polar coordinates set by Reiner, he was silent.

Taking angle and radius as variables, it was obvious that this kind of coordinate system was more suitable for describing curve equations, Orb thought. And as he continued to read, he felt that this coordinate system seemed more suitable for some special spell models.

"Eccentricity, the unity of the curve equation?"

When Orb read that Reiner derived the polar coordinate equations of several common curves, the mage's hands were trembling slightly.

Because the equation that Reiner got, in the end, was so simple and elegant, full of harmonious beauty.

This was exactly what a mage like Orb was pursuing, constructing a spell model in the most concise way to maximize the use of magic!

Putting down the paper, Orb was not in a hurry to write the review comments. He picked up the calculation method and began to verify the content of the paper. When he saw that as the eccentricity changed, the whole curve also changed as described in the paper, the mage stood up.

"This, this is wonderful!"

Orb muttered to himself. He hurriedly sat down again, took up the paper and pen, and began to convert the polar coordinates of the several spell models that were bothering him.

Time flew quickly. When Orb raised his head, it was already sunset. He found that polar coordinates had a natural advantage in certain spell models, but they were more cumbersome in other spell models. If it is complementary to the original Loire coordinate system, many spell models that were considered difficult to simplify in the past can be further optimized.

For high-level mages, this optimization was meaningless, but it was an insignificant improvement in casting efficiency, but for mid-level and low-level mages, such optimization was already quite rare. At least judging from the spells in Orb's hands, the casting efficiency of the middle-level mages would be increased by 10 to 20%, and the lower-level mages would be even more!

Orb was still immersed in calculations. From the corner of his eyes, he suddenly caught a glimpse of the books on the three laws of motion that had been kept on the shelf for a while. Calculus was too difficult to understand for a middle-level mage like him. It went beyond common sense and was very cumbersome.

He suddenly had a bold idea, what would be the result if polar coordinates were applied to calculus?