I made science magic

Lin En knocked Alok from heaven to hell with just two short words. All the students present could not help but shudder.

"Mathematics Olympiad is an extremely precise course. We need to find the rules from a large number of extremely complicated data operations, and then summarize them into corresponding formulas, thereby simplifying the algorithm and improving the efficiency of the entire operation." Lin En looked around the classroom.

Everyone inside paused and spoke again.

"Of course the law summarized by Elok is not wrong, but the scope of application is too small. Since the exponential increase in the square can be 2 times, it can also be 3 times, 5 times, or 10 times! In this way, the law will change.

It no longer applies..."

"And this exponential summation formula is applicable to all exponential increases that meet the conditions!" Lin En snapped his fingers, and under the surge of magic power, the complicated formula appeared in front of everyone again.

When q≠1, sn=a1(1-q^n)/(1-q)

Jonny, Peirce and others stared at the so-called exponential summation formula. They thought hard for a while, and then they all picked up their quill pens to calculate. They listed sequences of two, three, and four multiples, looking for the rules, and then tried to sum them up.

Plug them into this formula.

With Aylock's previous summary and derivation through q≠1, Peirce soon realized that this symbol should refer to a multiple of increase, but why use one to subtract?

Peirce bit his finger and inserted the original 2-fold growth grid game into it. He ignored the following (1-q) and directly performed the calculation. He found that it was completely feasible, but the number he got was exactly the opposite.

is a negative number.

In other words, is the function of the following formula to convert negative numbers into positive numbers?

But if it were replaced by an exponential growth of 3 times, the amount would be completely wrong...

Peirce's brain was running rapidly, and he had vaguely captured the answer, almost, almost!

But what is it?

Throughout the classroom, people like Peirce were immersed in solving problems, pulling their hair, or scratching their heads, but no one chose to give up.

Is the learning atmosphere at Iyeta Magic Academy that strong?

Lin En is a little strange, these people also love learning too much...

Most of the class passed quickly. Just when Linn thought there would be no more results today, he raised one hand high.

"Professor Linn, I have some ideas!"

It was Jonny who spoke. After receiving the instruction, the girl stood up and said. "A1 in the summation formula should refer to the number placed in the first square, q refers to the multiple, and n corresponds to the grid

Amount, right? Professor?”

"Absolutely correct. After class, you can go to the entrance of the college to collect your reward!" Lin En nodded and responded. Although Jonny's statement was very general, it was indeed accurate.

Peirce on the side couldn't help but beat his chest. After Jonny reminded him, he quickly understood why, he was so close to solving it soon!

After waving his hand for Jonny to sit down, Linn explained to the apprentices present what a geometric sequence is, its general term, summation formula, and then how each formula is deduced.

.

The wizard apprentices below all picked up their quills very seriously and wrote down everything Lin En said on the page. Then they tried to change the first item and multiple to verify it repeatedly. The desk was soon full of them.

Various manuscript papers...

It has to be said that after having the general term formula and the summation formula, the calculation speed is several times faster, and the more complex the calculation formula, the faster the improvement.

Seeing these students who were more active in solving the questions, Lin En couldn't help but sigh, it was too easy for him to be a professor!

If schools across the federation are like this, why worry about technology not flourishing?

…

The second Mathematical Olympiad class ended soon. Alok and others left the classroom still unfinished, still discussing the derivation of the summation formula...

"Jionni, how much has the magic power you can control increased from last night to now?" A black-haired witch apprentice caught up, patted Joni on the shoulder, and asked curiously.

"About 10%?" The silver-grey-haired girl thought for a moment and replied casually.

"That's a little bit more than me." The black-haired witch apprentice curled his lips, but there was no expression of envy.

According to rumors, Airok stayed up all night calculating, and when he woke up the next day, he found that the magic power he could control had increased by about 20%. It was precisely because of this news that the entire Iyetta Magic Academy was detonated.

So this morning, all the wizard apprentices who didn't have classes came here and wanted to hear what kind of magical power this so-called Mathematical Olympiad class had, and she was naturally no exception.

The conclusion is also obvious. Complex and tedious mathematical calculations can effectively exercise their brain power. This process of logical deduction, finding, and deciphering numerical patterns is also interesting, at least more interesting than boring meditation.

Jonny ignored the words of the black-haired witch and looked back in the direction of the classroom, thinking to himself how many Olympiad questions Linn had done in the [Arcane Society] in the past six months to achieve today's achievements...

…

"Doing math problems can actually improve a wizard's control over magic power?"

Of course, Lin En could clearly hear the discussion among the students, and he was also a little surprised at the same time.

But if you think about it carefully, it seems normal. The reason why his mental connection with the brain has greatly increased his strength is precisely because the overload mode greatly increased his computing power, or in other words, his mental power.

This is extremely important to wizards, because the amount of magic they can control is closely related to the strength of the wizard's own mental power. What makes Lin feel a little helpless is that this happens to be his knowledge blind spot.

At least the process of forming a spell slot is a bit like practicing an action repeatedly to form muscle memory.

For example, if you pick up a wine glass from the table and drink it with your hands, if it is done by artificial intelligence, you need to first determine the distance, calculate the angle and strength of holding the water glass, and then analyze the most natural arc to pick up the water glass with your hands and bring it to your mouth.

.

Such a complicated process can be completed instantly under the control of the subconscious mind without any obstacles. The same is true for spell slots. As long as after a long period of practice, a single thought can release extremely complex magic.

There is just a premise, that is, the wizard's mental power is strong and can provide enough computing power. Otherwise, the process of casting the spell will be prolonged and flaws will be exposed.

Thinking of this, Lin En touched his chin, wondering if he should ask himself some advanced math questions...

Maybe it’s really useful?