Greetings, Mister Principal: Polar coordinates paper

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

The alchemical creature responsible for distributing the paper scanned the content of the paper, confirmed that the repetition rate was qualified, and then passed it to the audience of the three review committee members based on the extracted keywords.

One of them is Orb, a fourth-ring mage of the law system.

There have never been many mathematics-related papers, so there is neither a dedicated office tower nor a fixed review committee. Orb's main research direction is magic circle science, which is the knowledge of trying to optimize spell casting by simplifying magic models. , so the mathematical foundation is good, and only then will mathematics-related papers be reviewed.

He is not tall and has the same name as a mage from the same sect, so he was teased as "Short Orb" for a while.

Aub woke up from his nap, opened the office door, and saw the papers that had been delivered at noon.

Unlike many informal mages, Orb's desktop is very neat, with everything laid out in categories. This may be the obsessive-compulsive disorder of mages who study magic formations, and they must be neat and orderly before they can start working.

He sat down, first picked up the bottle in his hand, and took a sip of the black drink in it. The irritating gas made Orb suddenly energetic. This gadget called Coke has recently begun to be used by the wizards of the Rainbow Tower. It has quietly become popular among them, and its unique taste is deeply loved by those who like novelty, and Orb is naturally no exception.

The included mage cards have also become collections of some eccentric mage. They are not resistant to this way of depicting the life of the mage. On the contrary, some people even have the idea of ​​writing to the manufacturer and telling them Orb declined to comment on the idea of ​​making his own cards to increase his popularity.

While he was drinking Coke and picking up the paper waiting for review on the table, Orb saw the author of the paper.

Linard Ian Gray.

Poof——

Aub squirted out a mouthful of Coke, immediately staining the neat desktop and paper cover, but he couldn't care less at the moment.

"Lyner Iain Gray!"

In the past few decades, another mage whose thesis caused the cognitive collapse of the review committee was, well, to be precise, it was a mage apprentice. Rainer Ingle's name followed him as an apprentice at a relatively young age. After winning the Hohenheim Gold Cup, it spread in Rainbow Tower.

In the opinion of many review committee members, this mage apprentice's paper should not be underestimated, and a slight failure to pay attention may lead to a cognitive breakdown.

Even because of the incident caused by Reiner, some members of the jury called for the establishment of a complete protection mechanism to prevent such incidents from happening again.

Care for life, protect review committee members, please support the bill for advance annotation of key breakthrough papers.

Is it finally your turn?

Aub was furious and quickly threw the paper to the corner of the table, as if just looking at the title of the paper would cause a reverse flow of magic power in him.

After about five minutes, when Orb calmed down, he dared to take a peek at the title of the paper.

"Research on a brand-new coordinate system and its functional equations of ellipses, hyperbolas, parabolas and other curves in this coordinate system".

Coordinate system? curve? Function equation?

This is obviously a mathematical paper.

As Reiner learned, there are very few papers in mathematics. Because there is no feedback, and most mathematical theories are just simplified calculations, there are very few people who specialize in mathematics and publish papers. And little.

Even the calculus paper written by Lord Isharis Alberton of the Department of Laws was just a subsidiary chapter to describe the three laws of kinematics he established.

One more important thing is that since mathematics does not cause feedback from the world and naturally does not lead to cognitive collapse, Reiner's paper can be said to be safe and harmless.

"Fortunately it's a paper on mathematics."

Aub was relieved and picked up the paper stained by coke.

"But, a new coordinate system?"

Before opening it, Orb frowned slightly.

As we all know, the Loire Cartesian coordinate system proposed by His Excellency Andre Loire is currently the most widely used coordinate system, and its application in many magic models has been affirmed. If you want to propose a brand new coordinate system, just Facing the problem of coordinate conversion, how to promote it is a difficult problem.

Orb opened Reiner's paper with questions. The neat format as always satisfied this meticulous magician. However, when he saw the polar coordinates set by Reiner, he fell silent. .

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

"Eccentricity, the unity of curve equations?"

When Orb read the polar coordinate equations derived by Reiner for several common curves ~IndoMTL.com~ the mage's hands actually trembled slightly.

Because the equation obtained by Reiner in the end was so simple and elegant, full of a harmonious beauty.

This is exactly what mages like Orb pursue, to build spell models in the simplest way and maximize the use of magic power!

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

"This, this is wonderful!"

Ob murmured to himself. He hurriedly sat down again, picked up paper and pen, and began to perform polar coordinate conversion on several spell models that were troubling him.

Time passed very quickly, and when Orb looked up, it was already sunset. He discovered that polar coordinates had natural advantages in certain spell models, but in other spell models it was more cumbersome. If it is complementary to the original rectangular coordinate system, many spell models that were considered difficult to simplify in the past can be further optimized.

For high-level mages, this kind of optimization is meaningless. It is just a slight improvement in spell casting efficiency. But for mid-level mages and low-level mages, such optimization is already quite rare, at least from Orb. Judging from the above spells, the spell casting efficiency of mid-level mages has increased by 10% to 20%, and the efficiency of low-level mages has increased even more!

Orb was still immersed in calculations. From the corner of his eye, he accidentally glanced at the book on the three laws of kinematics that had been put aside before. Calculus was too difficult for an intermediate mage like him to understand. The calculations in it The process goes beyond common sense and is very cumbersome.

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