Chapter 69 How many Mathematical Olympiad questions have you done to achieve today's achievement
Lynn's two short sentences knocked Ai Luo from heaven to hell, and the students present couldn't help shivering,
"The Mathematical Olympiad is an extremely precise course. We need to find the rules from a large amount of extremely complicated data calculations, and then summarize them into corresponding formulas, so as to simplify the algorithm and improve the efficiency of the entire calculation." Lynn looked around the classroom. Everyone in the room paused and spoke again.
"Of course the law summarized by Eloke is not wrong, but the scope of application is too small. Since the exponential increase in the grid can be doubled, it can also be three times, five times, or ten times! In this way, the law will change. It doesn't apply anymore..."
"And this exponential summation formula is applicable to all eligible exponential increases!" Lynn snapped his 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 the others stared at the so-called exponent summation formula, pondered for a while, and then picked up the quills to calculate, listed the number series of multiples of two, three, and four, looked for the rules, and then tried to combine They are substituted into this formula.
According to Ellok's previous summary, and deriving through q≠1, Peirce quickly realized that this symbol should refer to the multiple of the increase, but why use one to subtract?
Peirce bit his finger, substituting the initial double-increasing square game into it, ignoring the following (1-q), and directly performing calculations, he found that it was completely feasible, but the numbers obtained were just the opposite. is negative.
That is to say, the role of the following formula is to convert negative numbers into positive numbers?
But if it is replaced by a 3-fold exponential growth, the amount is completely wrong...
Pierce's brain was running fast, and he had vaguely grasped the answer, almost, almost!
But what exactly is it?
In the entire classroom, there are many people who are as immersed in the problem as Pierce, or pulling their hair, or scratching their ears, but no one chooses to give up.
Is the learning atmosphere of Iyeta Magic Academy so strong?
Lin En is somewhat 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, he raised one hand high.
"Professor Lynn, I have some ideas!"
It was Johnny who spoke. After receiving the instruction, the girl stood up and spoke. "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 number of squares, right? Professor?"
"Approximately correct, after class, you can go to the gate of the academy to collect your reward!" Lin En nodded and responded, although Jonny's expression was very general, it was indeed accurate.
Pierce on the side couldn't help beating his chest and stamping his feet. After Jonny reminded him, he quickly understood why, and it was almost a little bit, he was about to untie it soon!
After waving Jonny to sit down, Lynn explained to the apprentices present what is called a geometric sequence, its general terms, summation formula, and how each formula is deduced .
The wizard apprentices below all picked up the quills very seriously, and wrote down every word Lynn said on the page, and then tried to change the first item and the multiple to verify repeatedly, and the desk was soon full of All kinds of manuscript paper…
It has to be said that with the general term formula and summation formula, the calculation speed is several times faster, and the more complex the calculation formula, the faster the improvement.
Looking at these students who were more active in solving the questions one by one, Lynn couldn't help but sigh, it's too easy for him to be a professor!
If this is the case in all federal schools, why worry about the lack of technology?
…
The second Mathematics Olympiad class was over soon, and Ai Luoke and others left the classroom unsatisfied, still discussing the derivation of the summation formula...
"Jonny, from last night to now, how much has the magic power you can control increased?" A black-haired witch apprentice caught up, patted Jonny on the shoulder, and asked curiously.
"About 10%?" The silver-gray-haired girl thought for a while and replied casually.
"That's a little more than me." The black-haired apprentice witch curled her lips, but she didn't show any envy.
According to rumors, Eloque spent a night without sleep, and when he woke up the next day, he found that his mana that he could control had increased by about 20%. It was precisely because of this news that the entire Iyeta Magic Academy was detonated.
So this morning, as long as the wizard apprentices who had no class came, and wanted to hear what kind of magical power this so-called Olympiad class had, she was naturally no exception.
The conclusion is also obvious. Complex and tedious Mathematical Mathematical operations can effectively exercise their brain power. This process of logical derivation, finding and deciphering digital laws is also interesting, at least more interesting than boring meditation.
Jonny didn't pay attention to the words of the black-haired witch. He glanced back in the direction of the classroom and thought to himself, how many Olympiad questions did Lin En do in the [Secret Law Society] in the past six months to achieve today's achievement...
…
"Doing math problems can actually improve the wizard's control over magic power?"
Lynn certainly heard the voices of the students discussing clearly, but at the same time he was somewhat surprised.
But thinking about it carefully, it seems normal. The reason why his spiritual connection with the brain will greatly increase his strength is precisely because the overload mode has greatly enhanced his computing power, or mental power.
This is extremely important for wizards, because the amount of magic power they can control is closely related to the strength of the wizard's own spiritual power. What makes Lynn feel a little helpless is that this happens to be his blind spot in knowledge.
At least the process of forming a spell slot is a bit like practicing an action repeatedly to form muscle memory.
For example, pick up a wine glass from the table and drink it. If it is done by artificial intelligence, it needs to judge the distance first, calculate the angle and strength of holding the water glass, and then analyze the most natural arc of picking up the water glass and handing it to the mouth. .
Such a complicated process can be completed in an instant under the control of the subconscious, without any hindrance, and the same is true for the spell slot. After a long period of practice, a single thought can release extremely complicated magic.
There is only a premise, that is, the wizard has strong mental power and can provide enough computing power, otherwise the process of casting the spell will be prolonged, thus revealing flaws.
Thinking of this, Lin En rubbed his chin, wondering if he should come up with a few high-level math problems for himself to do the math...
Maybe it is really useful?
(end of this chapter)