House of Thrandis.

Bathroom on the second floor.

Thrandis lay on her stomach in the tub, her eyes closed comfortably, her mouth bursting with dreamy words.

"My dearest apprentice, you must remember that imagination is always the basis of all spells. Figuration and geometry are all for the aid of imagination, not imagination itself. ”

At the bathtub, Rosen's mentality has changed a lot.

Yesterday, he was full of thoughts, and the sheep in his heart desperately wanted to get out of the sheepfold.

Now, just the thought that the woman lying in front of him might be a cruel murderer makes his heart feel cold.

Not to mention Qi Nian, being able to maintain composure is already the limit.

But his pursuit of spells remained the same, and when he heard Thrandis's words, his thoughts were involuntarily guided.

After thinking about it for a while, he said, "Teacher, you mean that a mage's hand doesn't have to be to imagine a hand. ”

"Correct."

Thrandis nodded approvingly, and turned over in the tub again, the snow-white mountains looming among the rose petals.

"As a basic trick, the reason why the mage's hand is easy to grasp is because it borrows the deep embodiment of the soul from the hand."

"But if you think about it, do you really need to imagine an entire arm to move an object from one place to another?"

As soon as these words came out, Rosen felt a bright light suddenly flash in his mind, and the preconceived ideas in his mind were split into pieces.

'To move an object, it is not the hand that is needed, the essence is that there is an external force to work on the object! ’

More essentially, it's because of the transfer of energy! ’

'Ah~~ The evil master really harms people! That guy Cyrus was half-talking, and I got stuck in a puddle of mud. ’

At this moment, Rosen even had an idea in his mind, even if Thrandis was really a murderer, as long as she didn't harm herself, she would still be his most respected magic teacher.

Feeling that the towel had stopped moving, Thrandis turned his head and looked at Rosen with a lazy gaze, and saw him standing there in a daze, his eyes blank, so he did not speak, and waited patiently.

After a long time, she felt the towel on her body move again, and then she asked, "My dear apprentice, tell me what you think, and let me see if I have gone astray." ”

The last sentence reminded Rosen and dispelled the idea of concealment.

Of course, he naturally does not directly say what geophysics says.

Carefully arranging the language, he began to speak his thoughts.

"Teacher, I thought, there are countless ways to move an object, and it can move more than just using your hands, wind, currents, or even just moving an object into the air."

"I suspect that there must be a commonality. And this commonality is the most direct and effective way to imagine the hand of the mage. ”

Hearing this, Thrandis's face was full of languidness, and his eyes were fixed on Rosen's face.

After looking at it for a long time, she suddenly sighed lightly: "I really didn't expect that I would hear the most outstanding words of wisdom in the world from the mouth of a 15-year-old magician. ”

'Whoa~'

She got up from the tub and took Rosen into her arms, despite his resistance.

"My dearest apprentice, don't struggle, let the mentor feel your presence. After all, as you grow, there will be fewer and fewer opportunities like this. ”

There was no desire at all in her tone, only exclamation.

Rosen stopped struggling: "Mentor, I have to warn you that not everyone likes this kind of almost rough expression of feelings. ”

"Hee-hee~ As long as you're my apprentice, then you'll have to put up with this."

Thrandis let go of Lawson and lay back into the tub again.

"The 'commonality' you just mentioned is the goal that all mages have been pursuing in the past hundred years."

"Unfortunately, so far we have not found a convincing statement, so we can only get as close to this goal as possible."

Rosen was slightly stunned, and couldn't help but think secretly: "This commonality is the transfer of energy, is it so difficult to find?" ”

But when I think about it, I don't think it's strange.

Even on Earth, it took thousands of years for humans to evolve modern science since they had civilization.

And in this different world with spells, subjectivity and objectivity are extremely indistinguishable, and idealism and materialism are mixed together.

The observer effect, in particular, is ridiculously strong.

A mage with mana will inevitably interfere greatly with the target as long as he observes it intently.

If you want to extract the basic laws of the material world from the chaos, the difficulty is only higher than that of the earth.

"Mentor, where are we now?"

Thrandis smiled lightly: "Didn't you see that? ”

Rosen was stunned for a moment, and then thought: "You mean, exact geometry?" ”

"That's smart."

Thrandis couldn't help but admire: "From ancient times to the present, mages have been searching for the most efficient way to use mana. ”

"This process is also a process of gradually eliminating everyday experience and entering the world of pure logical thinking."

"As a result, moving an object becomes the trajectory of imagining the movement of the object."

As he spoke, a rose petal floated from the pool, drawing a standard circle in the air.

"Do you understand, my dearest apprentice?"

Rosen nodded slowly, his mind moving as another petal floated, drawing a standard equilateral triangle in the air.

Thrandis encouraged, "Can it be more complicated?" ”

Rosen thought for a moment and replaced the equilateral triangle with a parabolic curve.

"Going from straight to curved is a huge step forward, but can it be more complicated?"

Rosen immediately swapped it out, replacing the parabolic curve with a trigonometric sinusoidal oscillating wave.

Thrandis's eyes lit up: "Aha~ Is it a water wave?" Now it's even more interesting. ”

Rosen nodded, his mind moved slightly, and the amplitude and phase of the sine wave changed continuously, as if it were a wave of water flowing forward.

Thrandis looked at it, and became interested, trying to imitate the waves of water with the petals of a flower.

But she soon discovered that she could indeed mimic water waves, but it was far less stable than Rosen's, and the curve transitions were far less natural and precise than his.

She stopped, tilted her head to look at Rosen, a hint of doubt flashing in her eyes.

"You...... Found a mathematical tool to describe water waves, right? ”

Only by describing geometry in numbers can the imagination be truly regulated.

Because of this, Thrandis was able to draw perfect circles, and it was precisely because she did not have the mathematical method of describing water waves that she could not do the same thing as Rosen.

Rosen didn't hide it because it wasn't that hard.

The world may not have existed yet, but on the basis of current mathematics, the sinusoidal curves described by trigonometric functions are already on the horizon, and it is only a matter of time before they are discovered.

"Tutor, when I was reading The Principles of Exact Geometry, I accidentally discovered that when the trigonometric number is expanded in the crosshair, it becomes a water wave, and by modifying some of these parameters, you can modify the intensity and phase of the water wave at will.

"Well, the word phase is my own coin, which means the time when the crest of the wave appears."

Thrandis did not speak, she fell silent, her eyes glazed, apparently thinking about Rosen's words.

After a while, she 'sobered' up and looked at Rosen with a hint of shock in her eyes.

"Rosen, I don't know what words to use to describe you, please forgive me for my frivolity in the past."

"Oh no, this is an important achievement, and it has very broad application prospects. I've got to write a spell paper right away! ”

She didn't care about bathing anymore, and floated out of the tub.

The newly bought bath towel quickly flew to her side, quickly wiped off the water stains on her body, and at the same time, with her arms extended, she put on the newly bought bathrobe, which was like life, 'automatic' to fit her body, and 'automatic' to fasten her belt, while the quill and wood grain paper were already ready on the table.

When she was seated, the quill jumped up as if it had come to life, and she wrote quickly on the paper.

At the same time, a towel flew and rubbed her long, thick fiery red hair that was still dripping water.

The whole process is smooth, and at the peak, more than 10 lines of operation are displayed at the same time.

Not to mention, in every line of operation, the use of the Mage's Hand has reached a natural level.

It's as if she's the master of this side of the world.

Seeing such a level, the little pride that had just risen in Rosen's heart immediately disappeared.

He secretly alerted: 'Rosen, Rosen~ Do you want to your tail for a small achievement? You're not even close! ’

After writing for a while, she turned around and said, "Rosen, are you going to be the first author of the paper?" ”

Lawson shook his head without hesitation.

"No, no, no, my only contribution is to provide some inspiration, but my shallow knowledge of spells and narrow experience are not enough to write a formal treatise on spells. So, don't mention my name. ”

He already knew that mathematics was just a tool to help cast spells, and that what was really valuable was how to apply mathematics to spells.

And he is still in a state of ignorance about this.

Thrandis thought about it seriously and nodded in agreement: "Indeed, you are too young and too weak to afford this reputation. ”

Writing a few more words, she pointed to the tub: "Clean them up, and then leave here without making any noise that might disturb my thoughts." ”

"Mentor, do you want to deliver food?"

"Yes!"

"Yes, Mentor."

Rosen was silently doing the aftermath, and when everything was cleaned up, he was about to go downstairs when a voice came from behind him.

"My dear apprentice, the evening study plan remains the same, but don't forget it."

"Yes, Mentor."

He was very happy, and left the room on the second floor with brisk steps.

As he closed the door, a thought crossed his mind.

"Such a powerful mentor, could it really be a perverted murderer?"

"With what I've observed, it's impossible."

"But in order to protect themselves, murderers are usually extremely good at disguise, and it is common for people to be the same before and after others."

"In addition, the instructor was acting insane. At present, it looks like a double personality, but maybe there is a hidden third personality? ”

"However, rabbits don't eat the grass next to the nest, I should be safe, keep observing."

Back in his small room, he began to seriously experiment with his new knowledge.

In the next time, the master and apprentice, one worked the second floor, and the other learned spells on the first floor, without interfering with each other.