I made science magic

Chapter 173 The idea of ​​calculus and the sudden attack

Tik's whole body was in a mess. He originally thought that he had studied the Mathematical Olympiad two months in advance and had sufficient knowledge reserves. He should be able to solve the Mathematical Olympiad questions with ease.

But the first question stumped him.

If this calculation stopped at hundreds or thousands, he could still bite the bullet and slowly calculate the result, but the last value was ninety-nine-nine-nine-nine-million...

No, there must be a pattern! There must be some pattern!

Tik quickly realized that when he was at Iyetta Harbor, Lin En had played a square game of exponential summation. It was also a very complex operation, but through a wonderful exponential formula, he could easily sum up the square.

The originally complicated calculation process has been simplified to the point where an apprentice can calculate it in a short time.

Thinking of this, Tik picked up the quill and quickly calculated on the manuscript paper. He listed the products of the first ten columns of indices on the paper, then added them up one by one, and repeatedly considered the difference between each value.

The similarities and differences.

【1,4,9,16,25……】

【5,14,30,76……】

Tik bit the end of his quill and thought hard, numbers passing through his mind. He tried to insert the exponential summation formula he had learned in the Mathematical Olympiad class into it, and compared the calculated value with the result, and then continued

Change the formula to find a correct answer.

No, ten numbers are too few, not enough to confirm the pattern...

Tik's quill kept shaking on the manuscript paper, and numbers and symbols were written out one after another, but they were quickly crossed out and the calculation started again.

Page after page was discarded on the ground, slowly reaching the ankles.

Before he knew it, the sky was already dark, and Tik had already counted the afternoon and the night. His pupils were bloodshot, but his spirit became more and more excited. Finally, he stood up suddenly, so excited that he could not control himself.

"So that's it, that's it!"

Just like walking in the desert, a person who is already hungry and thirsty suddenly sees an oasis. Tik took another page of manuscript paper in high spirits and matched the previously calculated values ​​with the answers calculated using the formula one by one.

"Everything is correct, my formula is correct!"

Tik was extremely excited. He imitated Linn's exponential summation formula and solemnly wrote one line after another on the page.

【Sn=1/6 (n+1)(2n+1)n】

After finishing writing, Tik sat down again, feeling extremely comfortable. This feeling of discovering unknown patterns and summarizing it made people addicted to it.

Tik couldn't wait to look at the next question.

[Five monkeys found a pile of peaches at the beach and decided to share them equally the next morning. The first monkey came the earliest, but it couldn't divide the peaches equally anyway, so it ate the extra one, and the rest was just right.

Divided into 5 parts, it took its own part and left.

Then the second monkey arrived. Not knowing that another monkey had already come, he also ate one, 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 equal parts. How many peaches are there in total?]

When he first saw this question, Tik breathed a sigh of relief. Isn't this just a simple equation question?

Frogs jumping into wells, sliding snails... He had seen the apprentices do it many times when he was at the port of Ieta. He only needed to put a few unknown numbers into the formula to perform the calculation.

But it wasn't until he picked up his pen and prepared to do the calculation that Tik suddenly realized something was wrong, because this time the conditions given by Lin En were too few.

The only known condition is that these peaches have been divided five times, and one is reduced before being divided. As for the number of each division and how many peaches are left after the last monkey divides it, it’s all TM

is an unknown quantity.

Tik wrote out the existing conditions. He thought about it for a long time, and even pulled out several hairs. For a moment, he felt like he had no idea what to do, and he couldn't help but have the urge to beat up the person who wrote the question.

Is this really a question that people can solve?

In desperation, Tik could only estimate a number at random, assume it was the total number of peaches, try to substitute it into the calculation, and then slowly find the pattern.

That night, there were not a few wizards who were tortured by these brain-burning Mathematical Olympiad questions like Tik. Most wizards fell down on the first three questions, angrily tearing the manuscript paper in front of them in half, or smashing the tables and chairs into pieces.

, but a real warrior can swim upstream and enjoy this feeling of both pain and happiness.

…

At the same time, Lin En, who was worried about hundreds of wizards and wanted to beat him up, was currently constructing a new scene in the magic field.

Linn made the second gathering place look like a library, which was filled with all kinds of Olympiad books. Then Linn began to think about what he should use as bait to attract the wizards in the magic field.

Staying for a long time.

It is not an easy task to decipher the mental frequency of an official wizard and thereby access the opponent's computing power.

The [Gathering of the Faceless Men] created by Hellram took a year or two to complete the decoding of the spiritual frequencies of more than a dozen three-ring wizards.

Lin En didn't have much time to wait slowly, so he thought of a way to speed up the progress, which was to let these wizards stay in the magic field and frantically solve problems to consume mental energy, thereby speeding up the progress of the brain's cracking.

Calculus may be a good choice, it is brain-burning enough. Many wizards still know about the many theories and formulas he proposed before, but do not know why. Learning calculus will also help these wizards understand those formulas and formulas.

The derivation process of the theory.

Of course, the wizards of Greenleaf are not completely ignorant of calculus. For example, the secant method they used to calculate pi - using the circumference of a circle inscribed in a regular polygon to continuously approach the circumference of the circle - is used in calculus.

knowledge.

There are even wizards who have successfully used a method similar to that of combining square lids to derive an algorithm for calculating the volume of a sphere, and the results are very accurate.

It can only be said that there are smart people everywhere, but in the past there were not many wizards who were willing to focus on studying mathematics seriously.

Most wizards still prefer elements. Subjects such as Shaping, which can intuitively gain power and master magic as long as you study it. Basically, only those alchemists will spend time to study this stuff in depth.

While Lin En was thinking about it, a heart palpitation that had not come suddenly appeared in her heart...

Almost instantly, Lin En broke free from the magic field and opened his eyes suddenly. There was nothing in front of him, but an invisible magic barrier had been placed on his body.

Then there was a slight sound, like a blade cutting cloth, and a strange dagger slowly emerged from the air, densely covered with complicated runes, and slashed straight towards his neck.

(End of chapter)