Chapter 146 contains the number of truths in the world

"what happened?"

  "Isn't it just looking for the value of π, so that everyone looks serious?"

   "Yeah, if these goblins meet me, I will recite more than twenty of them on the spot."

  Following the explanations of the wizards in the field and the news from the apprentices in the Central District, the apprentices in the North District gradually understood.

  The burly corpse was a bear goblin, and the sound from the fountain was actually asking the gods to lower the value of π and even the calculation method?

  Girl Enya couldn’t help turning her head, “Ruoling, is there anything weird about this value?”

  Under the subtext, when did these bear goblins become more hobby in mathematics?

  Goblins are well-developed fertility, and there are races that like to capture populations for storage. For all business travel industries, they are as disgusting and annoying as mosquitoes.

  Wang Ruoling frowned slightly, "Combined with the previous Pythagorean theorem, maybe the value of π has extraordinary meaning?"

  "Pi and the natural constant e are both infinite and non-circulating irrational numbers. They belong to the real constants in the mathematics department. Even if there is a second world, the calculated π and e will be the same value, which is difficult forever."

  "Isn't it all like this?" Enya was surprised.

  At this time, the other apprentices also looked over, smiling unbearably.

  Usually Enya knows the mystery and the secrets of some associations very well, but when she encounters this basic discipline, she still hit the wall.

  The wizards in the challenge hall have fallen into silence.

They also know the numerical meaning of   π, but everyone is afraid to express their opinions easily.

  Everyone is thinking more about whether the legendary mage and even the mage king who arranged the content of the "Mage's Road" wants to take the opportunity to tell the world something.

   is just simply borrowing this background.

  And Lynch, who listened to the sound of the music box, was also frozen.

  Π, the ratio of the circumference of a circle to its diameter. (Circumference = 2πR)

  If it is born to be 3 or 3.14, then there will be no future research on Pi.

   Lynch immediately put his hands on his hips, thrusting the giant sword directly into the ground, maintaining the alert posture of pulling out and slashing at any time.

  But his whole thoughts have flew up, and after stopping the pace of action, he is silently thinking about all the meanings that π can represent.

  This is about the investigation of the whole thing.

  The "key" of all the fog.

  Is it true that its constant status?

  3.1415926...

  For example, if you want to send a value to a certain civilization in the universe, during the period you want to show it to the other earth’s civilization and even information.

  Sent like "the speed of light is 299,792,458 meters per second", the aliens certainly can't understand it.

  Because this value depends on the dimension behind it.

  Meter was originally defined as one ten millionth of the distance from the earth’s equator to the north pole on the meridian of Paris.

After   , when the speed of light c in vacuum is expressed in m/s, the fixed value is selected as 299792458, which becomes the speed of light to define meters.

  Instead, everything fell on "Second".

  Second is defined as the radiation frequency ΔνCs corresponding to the transition between two hyperfine energy levels when the cesium-133 atom is in the undisturbed ground state. When expressed in Hz (that is, equal to s-1), the fixed value is 9192631770 times.

  So when the aliens don’t know the second benchmark, they will be confused when they see 299792458.

  The value close to 137 like the fine structure constant may be different because of the difference in the universe.

  But the pi and the natural base are equivalent in any world.

   Lynch stands with his hands behind.

  The "Pythagorean Theorem" just now, and now the "Pi", seem to be pulling on the road of geometry.

  Finally, after thinking about it for a long time, he thought that the Master Luo Tianqing was also acting, he continued to leave, slowed down and explored these rooms again.

   Fortunately, most of the rooms have incomplete corpses, and blood stains on the walls are dry. There is no danger.

  Unfortunately, there is nothing to record messages.

  Finally, Lynch carried the great sword, and returned to the fountain a little lost, and then went up the stairs again.

The apprentices and spectators in the   square watched the angle of view as the stairs that had fallen into disrepair, stepped up one step at a time.

  The anticipation of watching a horror movie is mixed with fear. If it weren’t for a large circle of apprentices around to courage each other, they would have run out of nowhere.

   "Wow!" Suddenly the crowd shouted.

  The people who were still bowing their heads in thought, couldn't help raising their heads, and all of their scalp numb instantly.

  The circular staircase leads to a circular underground chamber with a radius of 6 meters. Like a dance room, the arc wall is equipped with floor-to-ceiling mirrors, which are surrounded one after another to form a package.

  Looking from a distance, people in the mirror form countless overlapping shadows.

  And on the ceiling, there are corpses hanging down with their limbs hanging down, their necks are firmly tightened, and their long dead bodies are swinging with their legs babbling.

  The mirror surface below is written with a line of bright red blood—

  【Night falls, and the dead are rampant.

  The method of calculating pen stay!

  The key to mental arithmetic,

  Is the key to access】

   "It actually counts as π! Have to give a way?"

  In an instant, the entire square made an amazing scream.

  No matter how stupid the apprentice is, he is basically sure at this moment that the "pi algorithm" must be linked to a certain magical principle!

  Otherwise, it will not be included in the "Road of the Mage" as a study.

   "This time, what will classmate Lynch do?"

   "Does it really count?"

   "Otherwise, what else can be done, if you drag it on, these undead will come back and it will be a dead end."

  Every dormitory, every gathering place of people, is concerned about Lynch’s next approach.

  However, Lynch remained unmoved. He wore an "immortal flame" torch around his waist and held a huge sword in his hand. His sight was still locked on the symbolic imprint of π.

   Lynch's hands gradually trembled.

  Because, he suddenly thought of a possibility.

  Pi is still calculated by the computer to the quadrillion decimal places after the decimal point. As far as this state is concerned, it conforms to the statistical concept of "normal numbers".

  The so-called conjunction number refers to a number that includes all combinations of numbers.

  The so-called normal number means that the numbers show a random distribution and have equal chances.

The combination of    means that any string of finite numbers can be found after the decimal point.

  Such as the traditional eight-digit birthday, π can basically be found in one billion digits.

  In previous studies, the decimal system of π has not been able to prove whether it is “normal”, but the “binary” has been approached infinitely.

  With the aid of the Bailey-Bowiner-Plauff formula, it can be derived from a reasonable but unproven conjecture about the theory of chaos.

  Once it does, it means.

After encoding the words and symbols, Pi can find all the human civilizations that have appeared in the "Tao De Jing", "Shakespeare", "Advanced Mathematics", "Three Body", "Landau Ten Commandments", "Global History" and so on. Works discourse.

   also means to include, it contains information about all spells in the entire spell system!

  It’s a pity that time is called like a arrogant little girl. Her light pace never waits for any travelers, she always ran forward indefinitely, leaving behind the old beings.

  Every time he stays in this place for a while, Lynch feels that he will have a new insight.

  He shook his head, took the little stone he had in his pocket at the beginning, walked to the mirror, under the blood, and began to portray.

  A circle with a regular hexagon inscribed.

  The area of ​​the hexagon is close to that of a circle, so π can be deduced by the area formula.

  As the inscribed polygon has more sides, the approximation becomes finer!

  "Circle-cutting method!" The apprentice in the North District immediately reacted and exclaimed.

   "This method is too inefficient! It's too late!"

   "That's right, someone who has exhausted his life can only count to more than 30 places. At that time, it was already a 2^64 side type!"

  However, Lynch on the screen, after completing the tribute, wrote another magic formula—

  Leibniz’s formula: π/4=1-1/3+1/5-1/7+1/9-1/11...

   "The convergence speed of this series is too low, and there are not many people before nightfall." The apprentice in the square also said nervously.

  Other students who cared about Lynch were also entangled. On the other side of the screen, Master Luo Tianqing seemed to have found a clue, and a breakthrough was imminent.

  Although historical mathematicians have broken through the limit of thirty or forty digits by relying on this infinite series, and have advanced to hundreds of digits, it also has its own shortcomings, that is, it is too slow.

  However, UU reading www.uukanshu. com Lynch’s pebble didn’t stop and wrote Ramanujan’s formula for Pi!

  1/π=2√2/9801∑(4k)! (1103+26390k)/(k!)^4*396^(4k)

  The Leibniz formula just now is still within the scope of everyone’s understanding, extremely beautiful and coordinated!

  But when it came to Ramanujan’s formula, many apprentices fell into a state of bewilderment.

  Who is this?

  Can this thing count as π?

  More importantly, can Lynch count this stuff?

  However, only Lynch on the screen knows.

  For each item in this series, it can advance the decimal point of π to 14 places.

  He nodded in satisfaction. This formula is a sufficient reason for the next calculation.

  The next second, he silently opened a book on the shelf of the Palace of Memory—

   "Lynch's Boring Event: My Thousands of Decimals Recitation of π".

   Write down instantly.

  (End of this chapter)