Lin smiled and said, "It seems that you don't quite understand what this has to do with mathematics. You all know how to multiply, right? Today, I'll introduce a new concept: power. When two identical numbers are multiplied together, we can count them as the second power of a certain number. When three identical numbers are multiplied together, they can be counted as the third power. And so on and so forth. The zeroth power of all numbers equals one. As for why, we'll talk about it later. Let's write it down today. "
As he explained, Lin gathered the authorities that were shackled into cubes in the air according to the same color.
At the same time, he used the Whiteboard Brush to write down the zeroth power of two equals one in front of the black Mystery; the purple Perception was the first power of two equals two. After writing down the second power of two in front of the blue Dexterity, Lin deliberately asked the granddaughter of Kabanbai, who claimed to be a master of mathematics, who was also present, "What is two multiplied by two?"
"It's four."
"Smart." Lin praised. After writing down the answer, he continued to write down the next one, and then the next one. As the increasing powers of two were solved one by one, the sorcerers who realized something could not sit still anymore. They looked at the powers that they had always thought were just random numbers, but now, there was a rule that they did not know how to describe.
When the sequence of '2 ^ 0 = 1, 2 ^ 2 = 2, 2 ^ 3 = 4, 2 ^ 4 = 16, 2 ^ 5 = 32, 2 ^ 6 = 64, 2 ^ 7 = 128' was completed, Lin Li smiled and pushed forward the sequence of numbers written in the air with his Whiteboard Art, along with the shroud of authority that had been restrained into a cube. "Everyone, this is the only ratio that can maintain the static balance of non-elemental powers when Authority exists in the Magic Stone. No matter what level of magic stones, orange ingots, or yellow robes are the same. There are no exceptions. "
Before the sorcerers could fully understand what they were seeing, Lin began to adjust the spell model of the third-circle apprentice-level spell, Fireball, based on the static balance ratio of the powers.
In the standard textbook, the power ratio of all the nodes of Fireball and the linear distance between two nodes were explained. On the basis of mechanics, vectors were introduced to explain the mutual attraction between nodes. In order to achieve balance, the adjustments needed to be made. Sometimes it was to change the power ratio of nodes, and sometimes it was to change the distance between two points.
If the structural link between two points is not a straight line but a curve, the equation of the curve must be worked out. He also wanted to know what effect the curvature would have on the imbalance of authority and how to regain the balance.
If the scope of consideration is expanded to three or four points, the problem of the angle between different vectors will begin to arise. The tool to be used at this time was, of course, trigonometric functions.
However, there were too many aspects to consider. When pulling one hair and affecting the whole body, one would need to rely on simultaneous equations to find the only solution. Sometimes, in order to find some tricky answers, of course, he would use the various formulas of advanced mathematics, such as calculus, analytic geometry, vector algebra, and so on. The calculations were so dazzling that it made everyone who was listening to the lecture blind.
In fact, when he was optimizing apprentice-level spells, it was not as easy as it was today. He had pulled that Lich and even the two girls into the study together and brainstormed the best solution based on the apprentice-level spell model. The optimization of each spell model took a long time to complete.
But today's actions were like beating a bunch of old magicians alive. Although they didn't understand the calculation process, or why the relationship between the two nodes could be written in a mathematical formula and transformed, they could see that the calculated result was desperately moving closer to the power static equilibrium ratio introduced earlier.
The Mages who could and were willing to sit here were actually the kind of Mages who studied character, not the kind who loved fighting and killing and did things without thinking. Research, on the other hand, was all about rigor. A little more or a little less could lead to a different result.
It was exactly this kind of obsessive-compulsive personality that made them feel a strange sense of beauty and … pleasure when they watched the changes of the numbers finally become the perfect static balance ratio. Some of them even forgot that they were here to cause trouble. They immersed themselves in the world of numbers, searching for the beauty of harmony.
However, when the person in front of them said that he had improved the apprentice-level spell, it was really just an improvement. The spell model was still the same spell model, except that the angle and the length were adjusted. All the changes were rather subtle.
Even just looking at the two models before and after the improvement would make people wonder if such changes were necessary. However, when presented in numbers, it was precisely this small change that brought about earth-shaking changes.
It was not that no one had ever said that they could improve the apprentice-level spell. However, when the results were presented, it was simply another spell. There was no way to improve it.
However, today, they looked at the matter of improving the spell from a whole new perspective. The apprentice-level spell that was said to be unchangeable after being tempered thousands of times actually had so many imbalances hidden in it! Looking at how everything was being fixed, everyone felt a sense of comfort and contentment. They even had the illusion that even if the spell was not changed, it did not seem to be that important.
When the last adjustment was completed, all the nodes and connections that were related to each other achieved a perfect balance in one breath. At this point, the improvement of the fireball spell was completed, but everyone secretly heaved a sigh of relief in their hearts.
It was just that in the process of calculation, sometimes when a node achieved a balance, it would destroy another balance. Facing this kind of vexing situation, everyone almost couldn't breathe. Fortunately, in the end, it was a perfect result.
The person in charge of the calculation was not like the others who were worried about gains and losses. This was because it was just like playing Magic Cube. Even if one side was completed, in order to complete the other sides, it was necessary to destroy the completed side. To him, the result was already known, so there were no unnecessary emotions.
At this time, Lin just looked at everyone with a smile, holding up the improved fireball spell model and said, "Which senior can use the earth magic to make a target?"
As soon as he said this, authority gathered in the air in the lecture hall, silently condensing into several large stones.
The spell model constructed by using the Magic Whiteboard Pen was not real magic, because the authority in each node was only written in numbers. However, Lin controlled the eight sealed authorities in the air, which were the ones that were forced out of the red glare magic stone at the beginning.
He did not dare to pour the entire red glare's authority into the spell model, but only a trace of it, pouring it according to the needs of each node. The fireball spell was formed in the air, relying on the spell model.
Apart from a few people who were not Mages and did not even know magic, everyone present had been immersed in magic for at least ten years.
Perhaps in most situations, they would use support spells to support themselves in battle, but as an offensive spell, the fireball spell could be said to be an eternal classic. Therefore, everyone was familiar with what the fireball they cast should look like.
However, the fireball in front of them was really a little different. Most of the fireballs cast by magic apprentices were no different from the fireballs cast by a first-circle spell. It was just a ball of fire condensed in one's hand that could be thrown like a ball. At the level of Mages, they had a deeper understanding of magic and knew where the key was. Only then would the fireball look like what a fireball should look like.
However, the spell model of the fireball cast by that Mage was the one everyone saw, and the authority was also extracted from the magic stone, which meant that there was no room for cheating. However, the improved version of the 3rd circle Apprentice level spell, Fireball, could actually condense a fireball that was almost solid. Everyone couldn't help but be curious about the attack power of this fireball.
Lin controlled the spell and aimed at a random piece of soil. With a light wave of his finger, the fireball was thrown out.
They didn't know if the unknown Mage who cast the soil spell was too careless, or if the improved fireball spell was too strange. This fireball, which had an extremely stable spell model, actually smashed through the soil and broke through the outer wall of the lecture hall, flying outside …
With such an outcome, how could they not understand the value of this new fireball spell? No! It should be said that the mathematical method of improving the spell model was the real value.
However, the person who cast the spell was dumbfounded. The power of the fireball spell lay in the splash damage after the explosion, although it would affect a lot of people indoors. Considering that most of the people present were Mages, it was impossible that they did not have defensive measures to deal with unexpected situations.
Secondly, he had a backup plan that was enough to protect those who were not Mages. More importantly, the authority of this fireball was quite low. It had almost crossed the threshold of activating the spell, so it wouldn't be very powerful. Even if they couldn't dodge in time, it would still be easy to deal with a few blisters.
But now what? It smashed through the wall! If the original target was the wall, it wouldn't be surprising if it smashed through it, but it first aimed at the soil created by the Mage's spell!
Although the soil was only a first-circle spell and the fireball was a third-circle spell, according to the user and the method of casting, the level of the spell didn't represent the power of the spell. If it was smashed through by a Fireball with the lowest authority, it wouldn't be soil, it would be tofu.
Compared to Lin, the Mage who cast the soil spell was even more surprised. Although he hadn't made it to the second Golden Spike, in terms of strength and foundation of knowledge, he was considered one of the best among the veteran Mages. He didn't go easy on the spell just now, and even added a bit of extra. Besides really wanting to try the improved fireball spell, he more or less wanted to see someone embarrass himself.
But! The ending was not what he expected …
Fortunately, there were many other Magicians who were also casting Earth Block, and they were all casting spells without making a sound. Therefore, apart from himself, no one else knew who had cast the magically condensed clods of earth in the air. This allowed him to avoid a humiliating disaster. So he tried hard to pretend to be calm, not giving others a chance to see through it.
Faced with the damage he created, Lin said embarrassedly, "Well, that hole, I'll go fix it later."
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