Chapter 192. Mathematical Analysis
Far away in the Material Realm, Fulan had no idea of the Lord of Radiance’s expectations. She was currently in a small room specially arranged for her by the Northern Society, writing furiously with her pen.
At the sa ti, she was also beginning to reconstruct works from Earth within her mind for reference.
She was now preparing her very first paper. In the first half of this paper, she intended, no matter what, to introduce a mathematical tool—calculus.
Given that she planned to write out all kinds of scientific achievents from Earth afterward, there was no way she could avoid using a tool like calculus.
Because among the theories she had learned, many theorems had to be explained through calculus, and quite a few of them had even been derived by working backward from mathematical formulas.
If she were to publish all those theorems directly, she would truly have to wonder whether the reviewers could even understand them.
So no matter what, she first had to promote calculus as a mathematical tool.
That way, if she later published sothing the reviewers could not understand, she could simply pull out the work she had already published and argue with them.
But after carefully learning the publication format for papers here, she realized that she had been thinking about things the wrong way.
In this other world, they simply did not accept the publication of any paper that contained no spell research.
For example, after her excellent ntor Habos’s paper on chanical assistance beca wildly famous, quite a few mages had taken chanical structures scavenged from among the common folk and written papers about them...
In the end, after all those papers were submitted, not a single one passed review. Only a very few that had genuinely studied the underlying chanisms and written about thods to enhance wind-elent spells had barely managed to pass.
As for how Fulan knew this, the answer was simple: she had spent one coin to buy an issue of Snowflake Weekly from that mage peddler, and it had been written there quite clearly.
Since Habos’s paper had truly beco far too popular, especially within the Northern Society where it had been published, nearly every featured column had been analyzing the subject.
And Snowflake Weekly had stated it very clearly:
【The reviewers of the Northern Society hereby remind everyone once again: please stop trying to pad the submission pile with papers that are of no use whatsoever to any spell. No matter how well you analyze your chanical structures, we will not approve them.
We reiterate once more: the Northern Society is a society of mages, and any research output submitted here must be based on spells...”】
Because of this, Fulan’s idea of directly submitting a purely mathematical analysis paper was shattered on the spot. She did not even need to think about it.
If she submitted that pure mathematics paper, those reviewers would definitely scold her and tell her that this was a society of mages...
So she had to change her way of thinking. For example, she could use calculus to analyze a spell and improve that spell’s efficiency. Only then could such a paper pass review.
It sounded easy when put that way, but once she actually began doing it, all kinds of unexpected difficulties began to appear.
In the end, she chose Fireball as the object of her analysis.
As the symbol of the Elental School, Fireball was also one of the oldest spells in this world. It could be said to be known by absolutely everyone.
In Snowflake Selections, the paper “Teaching You How to Cast Fireball” sat directly in the Classic Works section.
And that paper was also one of the rare free chapters. Any mage who arrived in the Northern Frontier could study it directly.
Quite a few mages, upon seeing that such a famous spell could actually be learned for free at the Northern Society, naturally went straight to search for it and study it.
As a spell that even an apprentice could cast, it was so basic that even the guards of the Northern Society could use it.
What Fulan wanted to study was how to use the least amount of mana possible to produce the largest fireball in the current environnt.
She had originally thought that the real difficulty would be how to construct a genuinely useful mathematical formula, but to her surprise, her greatest difficulty turned out to be at the level of definition itself.
That was right. As a magical world, there was actually no universally accepted standard unit here.
Throughout all of those papers, when describing mana, they used expressions like the amount of mana possessed by an average apprentice or the amount of mana possessed by an average First-Tier Mage. There was not a single precise unit of mana anywhere.
If she truly wanted to calculate the mana consud by Fireball, then she first had to define exactly what one unit of basic mana actually was.
She racked her brains trying to extract the tiniest possible unit of mana to make calculation easier, but once she discovered that her mana could be divided so finely that neither the naked eye nor even ntal perception could detect it, she gave up on that approach.
Instead, she chose a rather clever thod and worked in reverse, using Fireball itself to define a basic unit of mana.
【Inside a room with no elental activity whatsoever and no ambient mana dispersal, when a mage with no elental spell specialization fully releases their mana into the spell structure of Fireball, the amount of mana consud by the fireball produced is defined as one Standard Fireball.】
During the experint, Fulan cast Fireball several tis without activating any spell specialization, and confird that the mana consud by a fully charged Fireball did not change.
Then, through repeated experints in which she injected different amounts of mana, she asured the volu of the fireball and plotted the data on coordinate axes, forming an inverted U-shaped curve.
【When the input ntal power and the fireball’s volu are placed into a coordinate system, a curve describing the relationship between them is ford.
From this, a simple mathematical formula can be derived...】
After writing out that formula, Fulan felt as if inspiration were pouring forth like a spring. She beca completely imrsed in the concentration of writing.
She did not notice how quickly ti passed. It was only after she wrote the final letter and let out a sigh of relief that she realized the sun had already risen on the next day.
Fulan patted her face. “I stayed up the whole night...”
But right now, she felt no fatigue at all. Instead, her mind was in an even greater state of excitent.
After writing down the mathematical analysis of Fireball, all kinds of ideas began springing up in her mind one after another. Would this work for other spells as well...?
She rubbed her swollen temples and dismissed the thought of continuing her research. For now, she had to submit this paper first. The rest could wait until later.
At that mont, a notification from the panel appeared in her mind.
【You spent one night conducting a detailed analysis of Fireball, deriving many useful conclusions, and summarizing them into a form others can understand. Your understanding of Fireball has deepened. Fireball Proficiency 11000.】
Fulan looked at the notification that had appeared on the panel in delight. It had pointed out a path for her to rapidly increase the proficiency of her techniques in the future.
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