"How do you possibly know the circumference rate calculated by the prison?"

Zhaofeng fell down, but he didn't care about the pain, and quickly got up and asked.

"No, although the level of secrecy of this secret is not very high, it should not be known to outsiders......

But he still misses the point.

"No, Jingfu, the calculus he just said is not eleven, but thirteen!"

The big head ripped off his companion's arm and added.

At this moment, the person who was called "Jingfu" reacted - the number reported by the son of the Hong family on the opposite side was two more than that of the instrument supervisor!

Although the number is not necessarily right, the first eleven can match, which is enough to make the two awe-inspiring.

"No, this son, you have to go back with me to see the master craftsman!"

He also ignored his own lowly cultivation, came up and grabbed Hong Fan's sleeve, and said awe-inspiringly.

The latter, of course, will not refuse.

Hong Fan originally sought this to gain a step forward.

A quarter of an hour later, Gimhae Castle was put in prison.

In the main hall, the master craftsman Wen Zhongguan is holding a finely wrapped charcoal pen in his hand, writing and drawing on paper.

But he was interrupted by a commotion of footsteps from outside.

Wen Shijiang looked up and saw his two disciples Jia Ziyong and Zhu Jingfu trotting in, followed by a handsome and handsome young man.

"Teacher, disciple has a big report!"

As soon as he entered, Zhu Jingfu shouted.

"This son, he, ahem......"

Because his words were too urgent, he choked on his own saliva before he finished his words.

"Sit down, what does it look like?"

Hearing this, Zhongguan let out a low snort, and immediately killed the eagerness of the two disciples.

At this time, Hong Fan was also secretly looking at this official list of six products, and Jin Haiqi, who was at the same level as the city judge Hongwu, was the head of the prison.

He is short and stocky, with eyes like brass bells and thick joints.

Although he was dressed in a literary robe, he exuded a gangsterism.

"Teacher, this Hong Fan Gongzi claims to have calculated the thirteen-digit calculus of pi."

After calming down his cough, Zhu Jingfu said.

Wen Zhongguan Wen Yan's complexion remained unchanged, and the corners of his mouth were slightly pursed, as if he was disdainful.

But then Jia Ziyong's words made him no longer calm: "And the top eleven match all the calculations in our prison." ”

"Is that true?!"

Hearing this, Zhongguan asked in a low voice, and looked at Hong Fan with blazing eyes.

The latter smiled and immediately memorized the thirteen-digit pi again.

For a moment, there was silence in the main hall.

"Xiao Zhu, Xiao Jia, you must have accidentally revealed the secret rate!"

At this time, a reproach came from the side door.

Hong Fan turned his head to look and saw a middle-aged man with a tall and thin figure beard walking in.

"Master, you have wronged us!"

As soon as they saw this person, Zhu Jia and the others immediately got up and replied.

[The master craftsman is the sixth product, and the master craftsman is the eighth product; This person should be the deputy of Wenzhongjing. 】

Hong Fan thought about it in his heart, and opened his mouth to defend himself.

"The two adults know that I didn't know the two Excellencies Zhu Jia before today."

"As for the thirteen-digit pi, I also calculated it independently."

"Independently calculated?"

But his words made the tall and thin man sneer even more.

"Then I ask you, where did you get the algorithm? How long did it take to figure out such an accurate number? ”

"I see that you are at most seventeen or eighteen years old, and you obviously still have martial arts, so you shouldn't say that you are all on your own, right?"

Even in Hong Fan's view, this person's doubts are reasonable.

In his previous life, he himself would not believe that a single person could create results that surpassed the mainstream academic circles by starting from scratch and relying solely on independent deduction.

But who made the traverser stand on the shoulders of countless giants?

"In reply to Your Excellency, I am my own algorithm; The thirteen-figure count was also a no-brainer, and it didn't take much time. ”

Hong Fan bowed his hand slightly and said proudly.

At this moment, even Wen Zhongguan, who has been noncommittal, is impatient.

But before a few people could speak, Hong Fan spoke again.

"I know a few of them who used circumcision to calculate pi."

"In my opinion, this method is too primitive, cumbersome and inefficient."

His tone was sincere, but his words were offensive.

"Presumptuous!"

The tall and thin craftsman changed color and scolded.

"Qian Hong, don't be impatient."

Wen Zhongguan waved his hand and motioned to his deputy to calm his anger.

"Circumcision primitive? Hong Gongzi is not small. ”

He folded his hands and stared at the young man with blazing eyes.

"At this moment, the pen and paper are all there, why don't you let me wait to see your means?"

"Do what you want, don't dare to ask for ears!"

Hong Fan immediately agreed, stepped forward to hold a charcoal pen, and casually lifted the paper that Wen Zhongguan had written half on the ground, revealing the white paper below.

Then, according to the mathematical knowledge of his previous life, he started with the definition of derivatives, and wrote down the complete derivation process of Taylor's formula.

For a moment, there was only the sound of wind, breathing, and the rustle of charcoal pen writing.

Soon, the derivation of Taylor's formula was completed, taking up only half a page in total.

Finally, he drew a coordinate system, took the origin as the endpoint, made a ray at an angle of 45 degrees, and wrote down the final formula.

【tan(π/4)= 1】

【π/ 4 = 1 - 1/3 + 1/5 - 1/7 +.....+(-1)^k (1 /(2k+1))+....】

"How?"

Hong Fan threw down the charcoal pen and thought about the solid foundation of his university, and couldn't help but feel at a loss when he drew his sword and looked around.

But he didn't get the expected admiration.

"Fan Gongzi, what are you writing with these ghost drawings?"

Wen Zhongguan pressed his temperament and asked.

Hong Fan immediately woke up - the symbol systems of the two worlds are not connected at all!

Not to mention the various symbols and English letters, even the numbers are written in a completely different way.

Therefore, he embarrassedly let go of his superior demeanor and compared all the symbols and concepts in the entire deduction system with the smell of the middle of the view.

After more than half an hour of detailed exchanges, Hong Fan realized that the "professional title" of the master craftsman and the "theoretical research" of the instrument supervisor were not in vain.

Concepts like coordinate systems, trigonometric functions, functions, derivatives, calculus, and so on, the latter are already understood.

At the same time, Wen Zhongguan and Qian Hong also knew that this young man was not completely talking nonsense, but also had some attainments in mathematics.

After the communication was completed, Hong Fan used the symbolic system of the instrument as a supervisor to rewrite the above derivation process.

This time, when he put down the charcoal pen, except for Zhu Jia's two second craftsmen, who were still half stunned, the master craftsman and the master craftsman were already glued to the paper with their eyes glued, and they didn't care about anything else.

Time passed, and the more the two middle-aged people watched, the more they understood; The more I understand, the more shocking I am!

In Honfan's previous life, Taylor's formula was the result of the early eighteenth century.

This set of tools can approximate some complex functions as simple polynomial functions, and turn nonlinear problems into linear problems.

In addition, it can also be used to find the limit, determine the extreme value of a function, find the value of a higher-order derivative at a certain point, judge the convergence of generalized integrals, approximate calculations, inequality proofs, and so on.

Finding a π is just one of the applications.

Newton was still alive when Taylor's formula came into existence, and Taylor was one of the most important representatives of Newton's school.

Of course, by the time Hong Fan was in college, this was already an "ancient" thing, something that any undergraduate student in the mathematics department had to understand as soon as he entered the school.

But in Dahua, this is the frontier and cutting-edge of the Eight Classics!

PS: Speaking of which, although the author studied finance with a master's degree, he was born in the Department of Mathematics as a serious student, and he also held mathematical and physical competitions from elementary school to high school, and won some national awards.

But now that he is over thirty years old, all the above has been scattered; Even if I pick up the book and read it again, I can't even find the feeling of déjà vu.

So if there is something wrong with theoretical things, everyone will laugh it off; After all, Hong Fan's knowledge level in setting is much higher than that of me, the author.

In addition, the recommendation vote for the new book issue seems to be very important, and I went through the trouble to vote for the recommendation, thank you~~~