Lynn's two short sentences knocked Elok from heaven to hell, and the students present couldn't help but shudder,

"Olympiad mathematics is an extremely sophisticated course, we need to find the rules from a large number of extremely complex data operations, and then summarize them into corresponding formulas, so as to simplify the algorithm and improve the efficiency of the whole operation." Lynn looked around at everyone in the room, 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, five times, and ten times! This law no longer applies......"

"And this index summing formula applies to all eligible index increases!" Lynn snapped her fingers, and under the surge of magic power, the complicated formula appeared in front of everyone again.

q≠1, Sn=a1(1-q^n)/(1-q)

Jonny, Peirce, and others stared at the so-called exponential summation formula, pondered for a while, and then took a quill and calculated, listing a series of two, three, and four multiples, looking for the rules, and then trying to substitute them into this formula.

With Erocle's previous summary, and then deduced by Q≠1, Peirce quickly realized that this symbol should refer to a multiple of the increase, but why use one to subtract?

Peirce bit his finger and substituted the first two-fold checkered game into it, ignoring the later (1-q) and doing the math directly, and found that it worked completely, but the number obtained was the opposite, negative.

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

However, if you add it to a three-fold exponential increase, the amount is completely wrong......

Peirce's brain was racing, and he had vaguely caught the answer, almost, almost!

But what is it?

In the whole classroom, there were many people who were immersed in questions like Peirce, or pulling their hair, or scratching their ears and cheeks, but no one chose to give up.

Is the learning atmosphere at the Iyeta Academy of Magic so strong?

Lynn is a little strange, these people are too keen to learn......

Most of the class passed quickly, and just when Lynn felt that there would be no more results today, a hand was raised high.

"Professor Lynn, I have some ideas!"

It was Jonny who spoke, and after receiving the instructions, the girl stood up and spoke. "A1 in the summation formula should refer to the number of first squares, q refers to multiples, and n corresponds to the number of squares, right? Professor? ”

"Roughly correct, after class, you can go to the door of the academy to claim your reward!" Lynn replied that although Jonny was very general, it was accurate.

Peirce on the side couldn't help beating his chest, and after Jonny's reminder, he quickly understood, why, it was almost a little bit, he was about to solve it!

After waving his hand to sit Jonny, Lynn explained to the apprentices what a proportional sequence was, as well as its general terms, summation formulas, and how each formula was derived.

The wizard apprentices below all took their quill pens very seriously, wrote down every word Lynn said on the page, and then tried to change the first item and multiple to verify it repeatedly, and the desk was soon filled with all kinds of manuscript paper......

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

Looking at these students who are more active than one by one, Lynn can't help but sigh that she is too easy to be a professor!

If the schools in the federation are all like this, why worry about the lack of technology?

……

The second Olympiad lesson was soon over, and Elok and the others left the classroom with a lingering discussion......

"Jonny, how much has the magic you been able to control since last night?" A dark-haired witch apprentice caught up and patted Jonny on the shoulder, asking curiously.

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

"That's a little bit more than me." The black-haired witch apprentice pursed his lips, but he didn't have any envious expression.

According to rumors, Elok didn't sleep for a night, and when he woke up the next day, he found that his controllable magic power had increased by about 20%, and it was precisely because of this news that the entire Iyeta School of Magic detonated.

So this morning, as long as the wizard apprentices who have not had classes have come, they want to hear what kind of magical power this so-called Olympiad math class has, and she is naturally no exception.

The conclusion is also obvious, the complex and tedious Olympiad operation can effectively exercise their brain power, and this process of logical deduction, finding and deciphering the laws of numbers is also interesting, at least more interesting than boring meditation.

Jonny didn't pay attention to the black-haired witch's words, glanced back in the direction of the classroom, and secretly thought to himself, how many arcane math problems Lynn 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 mastery of magic?"

Of course, Lynn heard the sound of the discussion of the students clearly, and at the same time felt a little surprised.

But if you think about it carefully, it seems to be normal, the reason why his strength will increase greatly when he connects with the brain is precisely because the overload mode greatly increases his computing power, or 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, and what makes Lynn feel a little helpless is that this also happens to be his knowledge blind spot.

At the very least, the process of forming spell slots is a bit like practicing an action over and over again to form muscle memory.

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

Such a complicated process can be completed in an instant under the control of the subconscious, without the slightest hindrance, and the same is true for spell bits, as long as it is practiced for a long time, a single thought can release an incomparably complex magic.

There is only one premise, that is, the wizard's mental power is strong and can provide enough computing power, otherwise the process of casting spells will be prolonged, thus revealing flaws.

Thinking of this, Lynn touched his chin and wondered if he should come up with a few advanced math questions to calculate for himself......

Maybe it really works?