Chapter 223

"This paper..."

director pasiwar didn't finish reading it. In fact, when he saw the title and author of the paper, he had already guessed a lot.

This paper of cyris was carefully read by pasival as early as ten years ago, which was proposed by his tutor Porto in a seminar.

Pasiwar still remembers that it was an afternoon when he saw this paper. His whole body was trembling like an electric current. Pasiwar couldn't believe that cyris, who was the same age as himself, had reached such a level.

When people of the same age are still worrying about the dishes of dinner and the weather tomorrow, cyris's eyes have drifted to the distant stars.

But there is a fatal flaw in this paper, which is the imaginary number set by cyris.

There is no doubt that in the real world, imaginary number does not exist. It is a purely virtual concept, which is not only difficult to understand, but also unable to have any connection with reality.

At that seminar, Bordeaux also expressed the same opinion. Although the formula in the paper is so simple and elegant, it doesn't make sense.

At this moment, pasiwar couldn't believe that in front of him, this paper appeared again.

It was also a seminar held by a young and gifted mage. Pasiwar felt a trance.

By the time pasiwar was lost, Roger had finished reading the paper first.

He put it down and said.

"Ridiculous, it's ridiculous!"

Obviously, he doesn't agree with the existence of imaginary numbers, and thinks it's whimsical.

"Imaginary number? Square equals - 1? What's on the mind of the writer of this paper? "

With Roger's words, several other people have gradually completed the reading of the paper.

Bear bell was silent. He was not very good at mathematics and didn't dare to express his opinions at will.

Hannah glanced at Percival and continued.

"This is a pure mathematical paper. The concepts in it seem to be set up just to solve problems. To be honest, I can't think of the significance of this imaginary number."

Igor heard several people's speeches, glanced at Lena, and then said slowly.

"Well, I think this paper may need a mage who specializes in this area to review it better. Some of the mathematical tools are beyond my knowledge."

Saffroth shook his head and did not say what he thought.

Seeing the appearance of the people on the scene, Lena was naturally prepared.

Ten years ago, no one could accept the existence of imaginary numbers. Ten years later, how could people change their views so easily.

He stood up and said.

"You must be confused about the imaginary number in this paper. You think it's meaningless to the real world."

"Isn't it?"

Roger asked.

"If I have an apple, it's normal and reasonable. But if I have an apple, what kind of apple do I have? Lena, can you show me? "

He used a very realistic example to make Hannah around him nod.

"Of course I can't show you, Lord Roger."

In the face of Roger's almost sarcastic question, Lena replied slowly.

"Numbers that can't exist in reality have no meaning of existence. Even though a set of theories about imaginary numbers are complete, they are just calculations on paper. What is the connection between them and the reality of our life?"

Roger continued that he was not aiming at Lena, but at a few others, hoping to seek approval.

"The reason why not many people devote themselves to the study of mathematics is not only that they can not get feedback from the world, but also that the pure number game can easily become an illusory theory like imaginary number, and become a trap of Mathematics for the sake of mathematics."

His words made people ponder. Indeed, if theory can't be applied to guide practice, the most exquisite theory is useless. The development of magic over the years has always been to seek solutions after meeting problems, instead of wasting energy to explore knowledge without practical significance.

This is just the pragmatism of the mage and the principle of efficiency first.

Everyone in this room looks at Lena, and they want to know what Lena will explain.

"Lord Roger, I think I need to popularize mathematics for you."

Lena went to the blackboard on the side of the conference room and picked up the chalk.

"You, what do you say?"

Roger was infuriated by Lena's attitude. He wanted to stand up, but reason restrained him.

Lena smiles, draws a line on the blackboard and makes an arrow.

"This is the number axis that we often use in mathematics. Now I'll mark three points here. - 1, 0 and 1, which are integers and negative numbers. The most basic content, even six-year-old children know."Some members of the jury who didn't know why watched Lena continue to mark on the number axis. He took half between 0 and 1 and marked 0.5.

"Integers can't fill the entire axis, because there are actually decimals on it. There are countless decimals between 0 and 1, but in fact, the axis is still not filled here."

Lena drew a square to one side, connecting its diagonals.

"Root 2, which is an infinite non cyclic decimal, that is, irrational number. It also exists on the number axis. In fact, by this step, rational and irrational numbers have filled the whole number axis."

Roger said after listening to Lena.

"Now that the whole number axis is filled, where is the imaginary number? Isn't it on this blackboard? "

He wanted to make fun of Lena, but he didn't expect Lena to nod.

"The imaginary number certainly does not exist in this axis, but at least it exists on this blackboard."

"What?"

Even pasiwar could not help but question. He took another look at the number axis. Rational numbers and irrational numbers have filled the whole number axis. Any number above should be included.

And that doesn't include imaginary numbers, of course.

"Imaginary number, here it is."

Lena picked up the chalk and made a dot on the top of the 0 on the number axis.

"Are you kidding?"

Roger stood up. He felt that Lena was laughing at him. He was about to drive the young mage down, but he was stopped by bear bell.

"Listen to him, Roger."

Bell, the bear, perceives something and looks at Lena.

"The position of the imaginary number I is just above the number axis, a unit length away from the origin."

At first, Lena's words sounded strange, but Igor's brain was spinning. Soon, in his field of vision, the number axis became extremely small, and the whole blackboard was displayed in front of his eyes.

"Yes, there is no way to represent all the points on the plane with a simple number axis, but if you add an axis, you can establish a coordinate system to represent all the points."

Igor suddenly realized that the rectangular coordinate system has been deeply rooted in the hearts of the people. People have long accepted the use of two numbers to represent the coordinates of a point, and the existence of imaginary numbers is a coordinate axis that breaks away from all the actual numbers in the past and broadens the world a hundred times!

With such a simple and clear concept, I didn't expect that none of you medium level mages had thought of it before Lena's demonstration.

Imagination limits their cognition!

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