Chapter 173 The idea of calculus and the sudden attack
Tike was in a mess. He thought that he had learned the Mathematical Olympiad two months in advance, and he had enough knowledge to do the Mathematical Olympiad with ease.
But the first question stumped him.
If this calculation stops at a few hundred thousand, he can still bite the bullet and calculate the result slowly, but the last value is 999.9 million...
No, the law, there must be some law!
Tick quickly realized that when he was in the port of Iyeta, Lynn had done a square game of exponent summation, which was also a very complicated calculation, but through a wonderful exponent formula, he could easily combine The original complicated calculation process has been simplified to the point where an apprentice can 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 indices on the paper, and then added them up one by one, repeatedly scrutinizing the interval between each value. similarities and differences.
[1, 4, 9, 16, 25...]
[5, 14, 30, 76...]
Tick bit the end of the quill pen and thought hard, and the numbers flashed in his mind. He tried to substitute in the exponent summation formula he had learned in the Mathematical Olympiad class, and compared the obtained value with the result, and then continued to Change the formula to find a correct answer.
No way, the number of ten is too small, not enough to confirm the law...
Tik's quill kept shaking on the manuscript paper, and numbers and symbols were written one after another, but they were quickly crossed out and the calculation started again.
Page after page was dropped on the ground, slowly reaching the ankle.
Before he knew it, the sky was getting dark, and Tike had counted one afternoon and one night, his pupils were bloodshot, but his spirit became more and more excited, and finally he stood up abruptly, so excited that he couldn't restrain himself.
"So it is, so it is!"
It's like walking in the desert. A person who is already hungry and thirsty suddenly sees an oasis. Tik takes another page of manuscript paper with great energy, and matches the value obtained before with the answer calculated by using the formula.
"It's all right, my formula is right!"
Tick was extremely excited, imitating Lynn's exponential summation formula, and solemnly wrote down one line after another on the paper.
[Sn=1/6(n+1)(2n+1)n]
After finishing writing, Tik sat down again, feeling extremely comfortable. This feeling of discovering unknown laws and summarizing makes one involuntarily addicted to it.
Tik couldn't wait to look at the next topic.
[Five monkeys found a pile of peaches by the sea and decided to split them up the next morning. The first monkey came first, but it couldn't divide the peach equally anyway, so it ate the extra one. The remaining one was divided into five parts, and it took its own part and left.
Then the second monkey arrived, unaware that another monkey had come, and ate one, and then divided it into five equal portions, and kept his own portion.
The third, fourth, and fifth monkeys are all like this. After eating one peach, the rest can be divided into five equally. How many peaches are there in total? ]
After seeing this question for the first time, Tik breathed a sigh of relief. Isn't this just a simple equation question?
Frogs jumping into wells, sliding snails... When he was in the port of Iyeta, he saw those apprentices do it many times, just set a few unknowns and substitute them into the formula for calculation.
But it wasn't until he picked up his pen to perform calculations that Tick suddenly realized something was wrong, because this time Lynn gave too few conditions.
The only known condition is that these peaches have been divided five times, and one must be subtracted before being divided. As for the number of divided each time and how many peaches are left after the last monkey divides, all TM is unknown.
Tik wrote out the existing conditions. After thinking for a long time, he pulled out several hairs. For a while, he felt a feeling of being unable to start, and he couldn't help but feel an urge to beat up the person who made the question.
Is this really a topic that humans can make?
Tick had no choice but to estimate a number at random, assuming it was the total number of peaches, try to substitute it into the calculation, and then slowly find the law.
There were not a few wizards who were tormented by these brain-burning Mathematical Olympiad questions like Tick this night. Most of the wizards fell on the first three questions, angrily tearing the manuscript paper in front of them in half, or smashing tables and chairs to pieces. , but the real warrior can swim upstream and enjoy this painful and happy feeling.
…
At the same time, Lin En, who was missed by hundreds of wizards and wished to beat him up, was currently constructing a new scene in the magic field.
The second meeting place was turned into a library by Lynn, which was filled with all kinds of Olympiad books, and then Lynn began to think about what should be used as bait to attract those wizards in the magic field stay for a long time.
It is not an easy task to decipher the mental frequency of an official wizard and thus transfer the other party's computing power.
The [Faceless Gathering] created by Herram took a year or two to complete the deciphering of the mental frequency of a dozen or so three-ring wizards.
Lin En didn't have so much time to wait slowly, so he thought of a way to speed up the progress, that is, let these wizards stay in the magic power field and spend their mental energy crazily, thus speeding up the cracking progress of the brain.
Calculus may be a good choice. It is enough brain-burning. Many wizards are still in a state of confusion about the many theories and formulas he put forward before. Learning calculus will also help these wizards understand those formulas and formulas. Theoretical derivation process.
Of course, the wizards of Greenriel are not ignorant of calculus. For example, they used the cutting circle method to calculate the ratio of the circle—using the circumference of the regular polygon inscribed in the circle to continuously approach the circumference of the circle, and they applied the calculus. Knowledge.
Some wizards even successfully used a method similar to that of Mo He Fang Gai to derive and calculate the volume algorithm of a sphere, and the results obtained are very accurate.
It can only be said that there are smart people everywhere, but there were not many wizards who were willing to concentrate on studying mathematics in the past.
Most wizards still prefer subjects such as elements and shaping, which can intuitively gain power and master magic as long as they are learned. Basically, only those alchemists will spend time studying this stuff in depth.
Just as Lynn was thinking, a burst of heart palpitations that didn't come suddenly appeared in his heart...
Almost instantly, Lin En broke free from the magic field, opened his eyes suddenly, and there was nothing in front of him, but the invisible magic barrier had already blessed him.
Immediately afterwards, there was a slight sound, like the sound of a blade cutting cloth, and a strange dagger slowly emerged from the air, covered with complicated runes, and slashed straight towards his neck.
(end of this chapter)