"This..."

Roger can be promoted to the middle rank, and naturally he can understand what Reiner means.

If the imaginary number is used to replace the vertical coordinate axis, then the number can be simply written in the form of X + Xi. At the same time, when the point expressed in this form is used for vector calculation, it can directly apply the conventional four arithmetic operation instead of using complex coordinate calculation.

As we all know, the rectangular coordinate system is closely related to the magic model, and the calculation of coordinates and vectors is a compulsory course for every mage. If the imaginary number system is introduced, the efficiency of constructing the magic model will be greatly improved.

More importantly, the introduction of imaginary numbers directly expands the level of the whole world, just like the number axis on the blackboard and the whole blackboard, which one is broader is self-evident.

"But it's just a mathematical game. Even if there are no imaginary numbers, coordinate calculation can still be carried out. It's really strange to use imaginary numbers to explain the equation of motion."

Hannah questioned that it is indeed the function of imaginary number to build a magic model more conveniently, but magic should avoid introducing unnecessary factors. Here, imaginary number is a redundant concept.

"Everybody, I believe you all know the Newington Holland equations?"

Instead of answering Hannah's question, Lena asked in reverse.

"Of course, these are the four equations that describe the electromagnetic field. You have proved that light is an electromagnetic wave."

Roger replied, a little curious why Lena suddenly mentioned it.

"What do you mean by that?"

"I mean, if we put the concept of imaginary number into these four equations, what would we get?"

Then Lena began to write formulas on the blackboard and skillfully transformed them into forms with imaginary numbers.

Undoubtedly, the Newington Holland equation with imaginary numbers is more concise and easier to understand.

"I think you all see the formula in the paper. If we take this formula into the equations and calculate it, we can find that the sinusoidal electromagnetic field with time-varying can be directly transformed into the exponential form, and at the same time, the exponential form can also be expanded into the form of trigonometric function."

Lena's explanation made several judges fall into a long thinking, because between these words, there seems to be some surprising facts.

"... wait a minute. What do you mean?"

As a member of storm Councillor, Igor often participates in the discussion about the nature of light. He is a firm supporter of wave theory, and Lena's words make his thinking quickly turn and think a lot.

"Cyris formula and cyris transformation represent that any exponential function can be transformed into the form of adding countless trigonometric functions... That is, the superposition of countless waves... If it is reflected in the real world, that is to say..."

muttered to himself, Igor's eyes widened, and it's hard to imagine that these words came from his own mouth .

"All things can be expanded by series and become the superposition of waves. This world is just the superposition of countless waves!"

"How could it be..."

Roger opened his mouth wide. He did not expect that simple mathematical inference could reach the essence of the world in a sense.

Of course, all Igor's conclusions are just conjectures. He has no way to prove them theoretically or experimentally. Naturally, he can't get feedback from the world.

But this is a very innovative idea, which provides a new direction for the mages who are committed to exploring the essence of the world.

"This is indeed a possibility, which may have to be explored by the Lords of the High Council."

Lena shrugged and continued.

"But the value of this paper, I think, is clear enough here."

At Lena's words, even Roger was silent.

Imaginary number, such a purely mathematical and incomprehensible concept, should be able to peep at the tip of the iceberg of the essence of the world through it, which is really unimaginable.

But all this is shown in front of the public, so that people can not refute.

Seeing the opposition subside, Lena said later.

"In fact, this paper was completed ten years ago. At that time, the Newington Holland equations were not put forward, and this paper was judged to be worthless. Its author had already died of illness. I took this paper from the author's mother, an old man who didn't even know a word."

His words surprised all of you. You know, ten years ago, the Newington Holland equations had not been put forward at all, and the application field of imaginary numbers was almost zero.

"as like as two peas, who read this paper, they are all alike in their first reaction. They all think that the content of the paper is of no value, because they can't help any real world. If you don't believe it, you can ask Mr. Percival, who is also one of those who have witnessed this paper."Said Lena in a deep voice. Looking at pasiwar, the mage was gloomy and silent.

"Indeed, as a mage, there is no problem in focusing on improving his magic power. Efficiency and pragmatism are the principles of mages. Therefore, it is indeed the behavior of a fool to spend time on seemingly meaningless mathematics."

In such a large conference room, the falling needles could be heard, and only Lena's voice echoed.

"The new magic effects are just like the flowers blooming on the hillside. They are beautiful and attractive, but we should not forget that there are roots under the blooming flowers and in the soil."

He said, the volume getting louder and louder.

"If elements, alchemy, laws and other magic factions are flowers, then mathematics is the foundation of all these. We can't ask all theories to produce beautiful flowers, because some things are the foundation! It's too short-sighted to judge something simply by whether it's meaningful and whether it can have an effect on the development of magic. "

Laina's words make Roger and others stare big eyes, but on the other side of the long table, a person secretly clenched his fist.

It's saffroth.

He spent ten years on his own compiling a dictionary that might never be useful. How could this be what people call "meaningless" work?

Strong resonance in saffroth's chest, he felt some acid nose, eyes, a little wet.

"Ladies and gentlemen, we are mages. Your definition of a mage is not a person who masters power, but a person who explores truth. Perhaps many people's original intention of learning magic has changed long ago. They learn magic in order to pursue stronger power, higher status and perfect life. I don't mean to blame these people. After all, that's also true One of the human pursuits. "

Said Lena, and then the conversation turned.

"But don't forget that there are still people in this world who study magic just to explore the doubts in their hearts and to open the door to the truth. These people should have been respected, but the reality is that many people who have gained power and status through magic will laugh at these" fools "who are dedicated to research and comment on their achievements They even think that those theories are meaningless. "

He went from the blackboard to the long table and came to pasiwar.

"I just want to say one word to those who ridicule other people's research."

Lennard paused, and continued.

"He doesn't deserve it."

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