Chapter 75

In just an hour, Lena unified the four most common special curves in the low-order magic model into a mathematical formula. For Lena, this is the basic high school mathematics knowledge. He didn't remember it very well, and it didn't take much effort to deduce it himself. But this process still made Claire and Dana stand in a daze.

Dana, in particular, used to think that mathematics was a useless and very difficult subject, but now, in Lena's works, mathematics has some fascinating charm.

And Claire can only keep "meow, meow, meow..." I've lost my face.

"Mr President, since these four kinds of curves can be unified into this functional equation, can other curves also be expressed in this way? Like building the demilla spiral of surge

Dana asked, feeling that she had never been as curious about mathematics as she was now.

Surge is a low-level spell that creates a vortex in the current. Although in the hands of high-level mages, this spell can create a vortex that devours ships, in the hands of MAGE apprentices, the biggest use of surge is to clean clothes and tableware.

As a work study student, Dana is probably most familiar with this spell.

"It's possible, but I think you need to deduce it yourself."

Lena left a suspense, he has seen the light of seeking knowledge from Dana's eyes, for a student, interest is the best teacher, now, he has successfully aroused Dana's heart of inquiry, the rest is to give appropriate guidance.

"So this is what you call the improved spell model?"

Clare realized that what Lena said, indeed, although from the external point of view, different functional equations do depict the same trajectory, but their essence has been very different.

Although there is no change in the magic model, it has been "improved" in the paper world.

This is a pure mathematical deduction and a process of logical thinking. Without any magic or magic, such a unity can be achieved.

So is there a way to deduce magic only by mathematical proof?

Claire began to reflect on the real role of mathematics. There was no special mathematics class in new moon college. Students only came into contact with mathematics in courses involving magic models, such as Dharma array. Even Claire did not study mathematics in depth except building magic models.

"I'll give you an assignment, which is to show the magic model of illumination in polar coordinates. Three days later, we'll test the results in the school square. Of course, we can't put down the math papers these days."

Looking at the two girls who fell into thinking, Lena said, which made Dana's expression slightly stagnate, only nodded bitterly.

"All right."

"Your birthday is very recent. If you do well, for example, if you successfully cast light, I can consider making a big cake for you to celebrate."

Reiner added, brightening the eyes of the thrifty girl.

"Really?" "What's the size of the cake?"

Of course, at the same time, Claire's eyes are shining. She looks like a kitten with outstretched claws, looking at the food in front of her.

"I'll know then."

Lena has some helplessness. Girls have no natural resistance to sweets, especially adolescent girls. They often have to get into the tangle of sugar intake and keeping fit, but it seems that Claire doesn't care at all.

"Now."

Lena looked at the time.

"I have to sort out today's harvest."

...

"Research on a new coordinate system and its elliptic, hyperbolic, parabolic curve function equation in this coordinate system".

Lena finished his paper and looked at it again.

This paper is very simple. It is almost recorded after finishing what Dana explained in the classroom this afternoon. Apart from ellipse, hyperbola and parabola, Lena also deduces polar coordinate equations for other curves such as demilla spiral, and brings most curves in low-order magic into the polar coordinate system.

Of course, just like when Thales anarchy proposed anarchy's theorem for triangles, the feedback of the world did not appear, and there was no ripple in Lena's heart lake.

He sighed softly, but Lena didn't feel too sorry. At least he could use these theories when he advanced.

According to common sense, the standard for an apprentice to advance to a ring mage is whether he can engrave at least one ring spell into his soul.

This statement is somewhat difficult to understand. After reading the relevant literature, Lena summarized it.

If a mage is a computer, then the heart lake is equivalent to the operating system, and to engrave a ring of magic into the soul is similar to installing a program software in the operating system.

The spell engraved into the soul will change the heart lake to a certain extent. At the same time, the casting process of this spell will become extremely simple, just like clicking on an application in a computer.While other spells still need to be constructed repeatedly, which is relatively cumbersome. At the same time, a person's heart lake can carry a limited number of spells, which can't be engraved indefinitely, so it's very important to choose the engraved spell.

Lena also learned that the biggest difference between ancient magic and modern magic is the way of construction.

Take the computer as an example. The ancient mage is equivalent to getting a computer without any application software. All the magic needs to be programmed immediately, and once it is cast, it needs to be programmed repeatedly. The disadvantage is obvious, that is, the requirement for the mage himself is ten percent high, and the individual difference is huge. The advantage is that he can adapt to circumstances and is quite flexible.

The modern magic created by Herman Bragg is to fix all the magic and build a magic model. You only need to inject magic into it to use magic. It's like encapsulating a program into software and clicking on it when necessary.

As a result, magic can be popularized. Although it becomes a little inflexible, it is more approachable.

One of Lena's chosen spells is the simple fireball, which has a certain lethality enough to protect itself. At the same time, Lena's research on burning reaction can also help improve this spell.

Most importantly, Lena has always wanted to experience the pleasure of rubbing the big fireball!

At this time, he was sitting in his room. On the table was the Fireball's magic model, which had 32 magic nodes and 103 magic channels, including straight line, circle, parabola and hyperbola. Although the whole model was not asymmetrically distributed, it also had some strange aesthetic feeling.

Ready, Lena takes another look at the magic model, then slowly closes his eyes and starts to build the magic model of fireball.

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