Master Tongtian

Rubbing the teacher's back for him happened a lot, and he became accustomed to it.

In the warm and bright independent bathroom of his new home, while rubbing Thrandis's back, Rosen didn't feel any fluctuation in his heart and could even focus on discussing spells.

During the discussion, he began to reveal his second purpose for coming back.

"Sweetheart, the count explained to me in detail the difference between the natural law system and the logical law system."

Thrandis lay on the edge of the tub, squinting her eyes like a cat under Rosen's comfortable touch.

She said lazily: "To get personal guidance from the earl so quickly, it seems that my apprentice has made a lot of contributions."

Rosen smiled slightly: "Whatever credit you have, they are all external things. What interests me the most is the knowledge of the logic system. When I was free, I thought carefully and got some inspiration."

With the war imminent, he naturally tried his best to improve his strength, so he did not hesitate to use calculus.

If it can be used, or even very easy to use, then his power will be greatly improved.

"Tell me about it. Oh, use a little more force. Don't use a bath towel, just use your hands. Here on the shoulder blades, rub it hard. The instructor seemed to have a stiff neck last night."

Rosen helped her loosen her muscles and bones and began to explain in detail.

"Last time, didn't I say that trigonometric numbers should be extended to two-axis cross marks?"

"Yeah, yes. Move it higher~ah~~~~ah~~~~it feels so comfortable!"

"I was wondering if the circle cutting technique of the math master Uloy could be extended to the two-axis cross mark."

As soon as he finished speaking, the lazy look on Thrandis's face disappeared instantly.

She suddenly turned her head to look at Rosen, but because the movement was too violent and involved her injured neck, she couldn't help but

He let out a scream and immediately turned his neck back.

"Hurry up and rub it for the instructor~ Ah, my neck feels like it's about to break!"

After saying that, he immediately said: "Ignore the instructor, just keep talking!"

Rosen continued to explain.

"Master Uloy used triangles to divide the circle to obtain the precise pi. But obviously, no matter how many triangles are used to divide the circle, the precise pi cannot be obtained."

"In other words, only by cutting with infinite triangles can we get accurate pi."

"So, I borrowed the concept of 'infinity' and changed the triangle into a rectangle that is more convenient for calculation. You see, that's it."

As soon as he had an idea, the mage's hand picked up the water and drew a cross mark and a parabola on the water.

Because of the soreness in her neck, Thrandis turned around and looked, her red agate eyes shining brightly.

"Ah~~How can there be such a wonderful thought in the world!"

Rosen was immersed in his own thoughts and did not notice Thrandis's movements. He started from the lowest level of thinking and introduced the knowledge of calculus bit by bit.

Thrandis listened very attentively, his eyes became brighter and brighter, and a thought kept echoing in his heart.

"My God, Golden God, what kind of apprentice have I accepted?!"

Rosen didn't notice her change.

He controlled the water with concentration, drawing mathematical formulas one after another in the air, and behind these beautiful formulas was Thrandis's beautiful snow-white body.

The smooth and thick oak bathtub, the flawless white beauty, the bright petals, and the clear warm water are all connected together by an unprecedented and exquisite logical wisdom.

In a trance, time seemed to freeze into eternity.

Thrandis bit her delicate lower lip subconsciously, looking through the shining mathematical formula with blurred eyes, looking at the young face behind the formula, and clearly felt the light of wisdom shining in the dark blue eyes. .

After a while, Rosen finished talking about the core idea of ​​calculus, which is 'infinity', also called 'limit'.

"Teacher, these are my initial thoughts. They are very immature and there are many things that cannot withstand scrutiny."

"But fortunately, I have nothing to do these three days, so we can study it in depth together. What do you think?"

"Ah~~This is a great honor for the mentor!"

She couldn't stay in the tub any longer, so she washed herself casually, put on her dress, sat in the big armchair, picked up a pen, and started writing furiously on the manuscript.

After Rosen cleaned the bathtub, he lit the fireplace brightly, making the entire indoor air warm as spring.

Afterwards, the two sat at the table and carefully studied the application of new mathematical ideas.

In the process, Rosen had advanced modern mathematics in mind.

He has a high command and can easily control the details of mathematics.

Even if the memory is a little blurry, you can open the adventure log and return to the university classroom of your previous life to seek clear memories.

Thrandis is knowledgeable and keen, and has the tenacity to delve into knowledge. His understanding of magic knowledge far exceeds that of Rosen.

In short, she is a pure and extremely outstanding scholar-mage.

With the cooperation of both parties, the entry was very fast, much faster than Rosen imagined.

It only took three days to achieve a very significant and unprecedented application of logic!

Late at night on the third day, there was a stack of manuscript paper on the desk in the study room, with "Dexterous Spellcasting" written on the first page.

This is not a spell, but a technique for casting spells.

Thrandis looked at the manuscript with deep reluctance in his eyes.

"The beautiful time is really short. It's a pity that you have to leave early tomorrow morning."

Rosen was carefully analyzing the new spell structure on the manuscript paper with a pen, and his mind was not idle, constantly inputting these new spell knowledge into the spell analyzer.

"Teacher, it's just a short separation. I will be back soon."

"Is the outside world really that wonderful?"

"There are two kinds of books in the world. The first is recorded on paper, and the second is recorded in mountains and rivers. And the content of the latter is infinitely many times that of the former."

Thrandis sighed softly, looking at his apprentice with a confused look.

"Well~you can always say philosophical words."

At this time, Rosen completed the calculation of the new spell and handed the calculation paper to Thrandis.

"Teacher, I have finished the calculation and found no errors. Please check to see if there are any omissions."

Thrandis took the manuscript and checked it carefully.

After a while, she gently put down the manuscript paper.

"I didn't find a problem either. But after all, this is a brand-new mathematical idea, and the time is short. I can't confirm whether there is a problem with this idea itself."

Rosen smiled faintly: "Regardless of whether there are problems or not, it is still very useful. Give this new idea a name, mentor."

Thrandis tilted his head and thought for a moment, then shook his head: "I can't think of anything, why don't you come and get one?"

Rosen had already thought about it and said: "It appears to describe smooth and continuous complex curves. How about taking the 'flow' of 'smooth' and the 'number' of mathematics to form a 'flow number'?"

Thrandis's eyes lit up: "Liu Shu. What a good name. Just call it that."

Rosen continued: "As for whether there are problems with this new idea, it is easy to verify."

"Shall I try the new spell directly? If there is no problem, then the spell can be cast successfully."

Thrandis rolled her eyes at Rosen: "If you make a mistake, the spell will fail. With your fire-polar magic power, you will light yourself up into a big candle."

This type of spellcasting accident occurs from within, and defensive spells are basically useless.

Unexpectedly, Rosen stood up directly and retreated to the corner.

"Just try and you will find out."

In fact, he had already completed the simulated spell casting in the spell virtual machine. He had known that the spell would be fine.

Thrandis was startled: "No!"

‘Shh~~’

Rosen smiled softly, and his mana surged, flowing according to the imaginary spell structure, and it was quickly constructed successfully.

A dazzling bright spot as big as a sesame seed slowly appeared in the air. Then, the bright spot became bigger and bigger, but the intensity of the light it emitted never changed.

This shows that the spell strength has not changed, only the spell scale has changed.

Anna watched with bated breath.

Because of the nervousness, she clenched her hands into fists so that her joints turned white. Alice, who should have been sleeping, also appeared in the form of a mana phantom, watching equally nervously.

When the bright spot reaches the size of a date core, the volume is temporarily stable.

Rosen said: "Mentor, this is a 20% scale micro missile."

Immediately afterwards, the size of the missile continued to expand.

"Now it's twenty. Thirty-nine eleven hundred. One hundred and fifty two hundred and twenty."

"It's reached its limit!"

The missiles in the air were slowly canceled. When the light disappeared, Rosen breathed a sigh of relief, and Thrandis also breathed a big sigh of relief.

When everything returned to calm, the two Thrandis spoke in unison.

"Successful."

Rosen nodded slightly: "Yes, it worked."

"Teacher, based on the latest dexterous spell-casting techniques, the spell scale of the standard missile spell can be adjusted between 10% and 220% to adapt to different needs."

Although it is still impossible to achieve truly unrestrained spellcasting due to the unique nature of mana, such a wide spellcasting space is undoubtedly a huge leap forward in logical spells!

With the blessing of this powerful spell-casting skill, Rosen felt that his combat effectiveness could at least double.

On the other side, seeing the success of Rosen's experiment, Thrandis felt itchy in her heart. She calmed down and began to cast spells.

Compared with Rosen's fire polarity magic power, her attribute is silver moon, and the light spots are silver, just like the stars in the sky.

However, because the contact time was too short, her understanding of the infinite thoughts of flow was still somewhat insufficient, so when she transformed the spell form, she was not as smooth and natural as Rosen.

But this is not a problem. If you practice a lot, you will become proficient naturally.

After finishing the spell, her cheeks were flushed and her eyes were bright.

"Rosen, I can feel that this brand-new mathematical idea has huge potential to be tapped. If we can study it in depth, maybe we can create high-level, even master-level pure logic spells!"

If that's the case, then their names will be recorded in the annals of history forever. No, no, just their creations are enough to glorify the annals of history!

Rosen nodded in agreement: "I think so too."

"Hey~ It's a pity that you have to leave tomorrow."

Thrandis sighed for the second time.

Rosen smiled and said, "I'll be back soon."

"Oh, by the way, your body is also very important. Don't forget about food and sleep and your life when I'm away."

With Thrandis's character, he would definitely focus on the numbers, so he reminded her like this.

"Rosen, you are really as worried as an old father."

Thrandis tried to resist.

"Mentor~~" Rosen raised his tone.

Thrandis immediately compromised.

"Okay, I'll pay attention."