Chapter 172: Calculus' Idea and Sudden Attack
Tik's whole person was messy, he thought that he had studied the Olympiad for two months in advance, and his knowledge reserve was sufficient, so he should be handy in doing the Olympiad problems.
But this first question stumped him.
If this calculation stopped at a few hundred thousands, he could still bite the bullet and slowly calculate the result, but the last value was 9999900000......
No, the law, there must be some law!
Tik quickly reacted to the fact that when he was in the harbor of Iyeta, Lynn had done a square game of summing exponents, which was also a very complex operation, but with a wonderful exponential formula, the original complex calculation process was easily simplified to the point that an apprentice could calculate it with a little time.
Thinking of this, Tick picked up the quill, quickly calculated on the manuscript paper, listed the products of the first ten columns of exponents on the paper, and then added and summed them one by one, repeatedly deliberating the similarities and differences between each value.
【1、4、9、16、25……】
【5、14、30、76……】
Tik bit the end of his quill and meditated, the numbers flashing through his mind, and he tried to substitute the exponential summation formula he had learned in the Olympiad class, compare the calculated values with the results, and then keep changing the formula to find a correct answer.
No, ten is too few to confirm the pattern......
Tik's quill shook on the paper, and numbers and symbols were written out, only to be quickly crossed out and counted again.
Page after page was dropped to the ground, slowly reaching the ankle.
Before he knew it, the sky was already dark, and Tik had counted an afternoon and a night, his eyes were bloodshot, but his spirit was getting more and more excited, and finally he stood up suddenly, and he couldn't help himself.
"So that's it, so it's like this!"
Like a man walking in the desert who was already hungry and thirsty, suddenly saw an oasis, Tik energetically took a page of manuscript paper again, and matched the value he had found before with the answer calculated using the formula.
"It's all right, my formula is right!"
Tick was so excited that he imitated Lynn's exponential summation formula, and solemnly wrote down line after line of formula on the page.
【Sn=1/6(n+1)(2n+1)n】
After writing, Tik sat down again, feeling extremely comfortable, and the feeling of discovering unknown patterns and summarizing them was intoxicating.
Tik couldn't wait to move on to the next question.
[There are 5 monkeys who found a bunch of peaches on the beach and decided to come and divide them the next morning.] The first monkey was the first to come, but it could not divide the peaches equally anyway, so it ate the extra one, and divided the rest into exactly five portions, and it took its share and left.
Then the second monkey arrived, not knowing that a monkey had already come, and ate one, and divided it into five equal portions, and kept his own portion.
The third, fourth, and fifth monkeys were all like this, eating one peach, and the rest could be divided into exactly five equal portions. Q: How many peaches are there? 】
At the first glance of this problem, Tik breathed a sigh of relief, isn't this just a simple equation problem?
What jumping frogs, sliding snails...... He had seen the apprentices do it many times when he was in the harbor of Ijeta, and he only needed to set up a few unknown numbers and substitute them into the formula.
But it wasn't until he picked up the pen and was about to do the math that Tick suddenly realized that something was wrong, because this time Lynn gave too few conditions.
The only condition for knowing is that these peaches have been divided five times, and they have to be reduced by one before they are divided, and as for the number of peaches that are divided each time and how many peaches are left after the last monkey is divided, the whole TM is unknown.
Tik wrote down the existing conditions, thought about it for a long time, pulled out several strands of hair, and for a while had a feeling of not knowing where to start, and couldn't help but have an urge to beat the questioner violently.
Is this really a question that a human can make?
Tik had no choice but to estimate a random number first, assuming that it was the total number of peaches, trying to substitute the calculation, and then slowly looking for the pattern.
There were not a few wizards who were tormented by these brain-burning math problems this night, most of them fell on the first three questions, and in a rage, they tore the manuscript paper in half in front of them, or smashed the tables and chairs, but the real warriors were able to swim against the current and enjoy this feeling of pain and happiness.
……
At the same time, Lynn, who was remembered by hundreds of wizards and eager to beat up, was now building new scenes in the field of magic.
The second meeting place was made in the shape of a library by Lynn, filled with all kinds of Olympiad books, and Lynn began to think about what to use as bait to lure the wizards to stay in the magical realm for a long time.
It is not easy to crack the mental frequency of an official wizard in order to call up the other party's computing power.
It took a year or two for Helram to complete the cracking of the spiritual frequency of more than a dozen three-ring wizards.
Lynn didn't have that much time to wait slowly, so he thought of a way to speed up the progress, that is, to let these wizards stay in the magic field and frantically do problems to consume mental power, so as to speed up the progress of the brain.
Calculus may be a good choice, enough to burn the brain, many of the theories and formulas he proposed before, many wizards are still in a state of confusion that they know but do not know why, learning calculus also helps these wizards understand the derivation process of those formulas and theories.
Of course, the wizards of Greenriel were not ignorant of calculus, such as the circumcision method they used to calculate pi, which used the circumference of a regular polygon to keep the circumference of a circle close to it.
There are even wizards who have successfully used a method similar to the Mou Closed Square Cover to derive the calculation of the volume of the ball, and the results obtained are very accurate.
It can only be said that there are smart people everywhere, but there are not many wizards who are willing to focus on serious study of mathematics in the past.
Most wizards still prefer subjects such as elementalism and shaping, which allow them to gain power and master magic intuitively as long as they are studied, and basically only those who are alchemists will take the time to delve into this thing.
Just as Lynn was thinking about it, a palpitation that didn't come suddenly came to her mind......
Almost instantly, Lynn broke free from the realm of magic and opened his eyes suddenly, there was nothing in front of him, but the invisible barrier of magic had blessed him.
Then there was a faint, like the sound of a blade cutting through cloth, and a strange dagger slowly emerged from the air, densely covered with intricate runes, and slashed straight towards his neck.