Lynn's two short words sent Ellock from heaven to hell, and the students on the scene could not help shivering,
"Mathematical Olympiad is an extremely precise 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 entire operation." Lynn looked around everyone in the classroom, paused, and said again.
"Of course, the rule summarized by Ellock is not wrong, but the scope of application is too small. Since the index increase in the square can be twice, it can also be three times, five times, ten times! In this way, the rule becomes no longer applicable..."
"And this index summation formula is applicable to all eligible index increases!" Lynn snapped his fingers, and under the magic surge, the complicated formula appeared again in front of everyone.
When q ≠ 1, Sn=a1 (1-q ^ n)/(1-q)
Jonny, Peirce and others stared at the so-called exponential summation formula, thought hard for a while, then picked up a quill pen to calculate, listed two, three and four times of the number sequence, looked for the rules, and tried to substitute them into the formula.
With Eylock's previous summary and derivation by q ≠ 1, Peirce soon realized that this symbol should refer to a multiple of growth, but why use one to subtract?
Peirce bit his finger and substituted the square game with double growth at the beginning. He ignored the following (1-q) and directly carried out the operation. He found that it was completely feasible, but the figure obtained was just the opposite, negative.
That is to say, the function of the following formula is to convert negative numbers to positive numbers?
However, if the index increases by three times, the amount is totally wrong
Peirce's brain is running at full speed, and he has vaguely caught the answer, almost, almost!
But what is it?
In the whole classroom, there are many people who are immersed in problems like Peirce, either holding their hair or scratching their heads, but none of them chose to fish and give up.
Is the learning atmosphere of the Ivetta School of Witchcraft and Wizardry so strong?
Lynn is more or less strange. These people love learning too much
Most of the class passed quickly. Just when Lynn felt that there would be no more results today, one hand was raised high.
"Professor Lynn, I have some ideas!"
It was Johnny who spoke. After receiving the instruction, the girl stood up and said. "In the summation formula, a1 should refer to the number of the first grid, q refers to the multiple, and n corresponds to the number of grids, right? Professor? "
"Roughly correct. After class, you can go to the gate of the college to get your reward!" Lynn nodded and responded. Although Johnny's statement was very general, it was also accurate.
Peirce could not help beating his chest and stamping his feet. After Jonny's reminding, he soon understood why he was almost solved!
After waving his hand to let Johnny sit down, Lynn explained to a group of apprentices present what is called an equal sequence, its general terms and summation formula, and then talked about how each formula was deduced.
The wizards and apprentices at the bottom carefully picked up feather pens, wrote down every word Lynn said on the page, and then tried to change the first item and multiple to verify repeatedly, and the desk was soon filled with all kinds of manuscripts
It has to be said that with the general term formula and summation formula, the operation speed is several times faster, and the more complex the formula, the faster the improvement.
Looking at these more active students, Lynn could not help sighing that it was too easy for him to be a professor!
If the federal schools are all like this, why worry about the lack of technology?
……
The second Olympiad Maths class ended soon, and Ellock and others left the classroom with no intention of leaving, still discussing the derivation of the summation formula
"Johnny, how much more magic power have you been able to control since last night?" A black haired witch apprentice caught up, patted Johnny on the shoulder and asked curiously.
"About 10%?" The gray haired girl thought about it and replied casually.
"That's a little more than me." The black haired witch apprentice curled his mouth, but there was no expression of envy.
It is rumoured that Ellock stayed up for one night and found that his magic power that he could control had increased by about 20% the next day, which was precisely because this news triggered the whole Yieta School of Witchcraft and Wizardry.
So this morning, as long as all the wizards and apprentices who didn't have classes came here to listen to the magic power of the so-called Olympiad Maths class, she was no exception.
The conclusion is also obvious that complex and tedious mathematical operations can effectively exercise their brainpower. This process of logical derivation, finding and breaking the laws of numbers is also interesting, at least more interesting than boring meditation.
Johnny ignored the words of the black haired witch, looked back at the direction of the classroom, and thought to himself how many Olympian math questions Lynn had done in the [Secret Arts Society] in the past six months, so that he could make today's achievements
……
"How can doing math problems improve the wizards' mastery of magic?"
Of course, Lynn could hear the voice of a group of students' discussion clearly, and at the same time, he was somewhat surprised.
However, after careful consideration, it seems normal. The reason why his mental connection with his brain has greatly increased is that the overload mode has greatly enhanced his computing power, or mental power.
This is extremely important for wizards, because the amount of magic they can control is closely related to the psychic strength of the wizard itself. To Lynn's frustration, this is also his blind area of knowledge.
At least the process of forming a magic position is a little like repeatedly practicing a movement to form muscle memory.
For example, if you pick up a glass of wine from the table and drink it with your hand, if it is done by AI, you need to first judge the distance, calculate the angle and strength of the glass, and then analyze the most natural radian when you pick up the glass with your hand and pass it to your mouth.
Such a complicated process can be completed in an instant under the control of the subconscious mind, without slightest hindrance, and so can the spell position. As long as it is practiced for a long time, an idea can release extremely complicated magic.
There is only one premise, that is, the psychic power of the wizard is strong and can provide enough calculation power, otherwise the casting process will be prolonged, thus revealing flaws.
With this in mind, Lynn touched his chin and wondered whether to give him some advanced math questions
Maybe it is really useful?