Meet the principal

Act 79. Polar Coordinates Essay

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 acceptable, and then passed the extracted keywords to the audience of the three review committee members.

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 spell models, so mathematics If you have a good foundation, you will get mathematics-related papers for review.

He was not tall and had 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 delivered at noon.

Unlike many mages who are informal, Orb's desk is very neat, and everything is laid out in categories. This may be the obsessive-compulsive disorder of mages who study magic circles, 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 pungent gas made Orb suddenly energetic. This gadget called Coke has recently begun to be popular among the wizards of the Tower of Rainbow. It has quietly become popular, and its unique taste is deeply loved by people who like novelty, and Aub is naturally no exception.

The included mage cards have also become collectibles for some eccentric mage. They are not resistant to this way of depicting the life of a mage. On the contrary, some people even have the idea of ​​writing to the manufacturer and making their own. The idea of ​​​​cards is to increase publicity, but Orb declined to comment.

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

Rainer Ian Gray.

puff--

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

"Linard Ingle!"

In the past few decades, another mage whose thesis caused the cognitive collapse of the review committee, well, to be precise is the mage apprentice, Rainer Ingle's famous name followed him to obtain Hohenheim as an apprentice at a relatively young age. Since the beginning of the Golden Cup, it has spread in the Tower of Rainbow.

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 review committee called for the establishment of a complete protection mechanism to prevent such incidents from happening again.

To care for life and 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 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 clearly a mathematical paper.

As Reiner learned, the number of papers in mathematics is very small, because there is no feedback, and most mathematical theories are just simplified calculations, so there are very few people who specialize in mathematics and publish papers.

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.

"Thankfully it's a paper on mathematics."

Aub was relieved and picked up the paper that was 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. Its application in many magic models has been affirmed. If you want to propose a brand new coordinate system, you must face the coordinate system. The problem of conversion and 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. As he continued to read, he felt more and more that this coordinate system seemed more suitable for some special spell models.

"Eccentricity, unity of curve equations?"

When Orb read the polar coordinate equations derived by Reiner for several common curves, 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 also changed as described in the paper. , the mage stood up.

"This, this is wonderful!"

Orb 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 bothering him.

Time passed 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 was different from the original If the rectangular coordinate system is complementary, 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 the Orb's hands. Looking at several spells, the spell casting efficiency of mid-level mages has increased by 10 to 20 percent, 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, and the calculation process was even more complicated. It 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?

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