Into Unscientific

  Chapter 145 The mathematical results ahead of Europe by 863 years are born! (6.8k)

  Looking at Xiao Li who opened his mouth scientifically and closed his mouth scientifically.

  Lao Li finally had no choice but to give up the idea of ​​having a blind date for his daughter.

   Actually, this is normal.

   After all, in the normal trajectory, the combination of Xiao Li and Zhao Mingcheng is actually a bit of a joke.

   There must be a mutual agreement between the two, but there is also a certain exchange of interests at the family level:

   Zhao Mingcheng's father, Zhao Tingzhi, was a member of the Yuanfeng Party, that is, a party that firmly supported the reform or the new law faction, and he and Li Gefei were considered old enemies.

  However, Song Huizong had just come to power at this time, and the old and new parties were relatively restrained. Many people chose to marry each other to ease their relationship.

   Among them, the combination of Xiao Li and Zhao Mingcheng has certain related factors, otherwise Lao Li would not have agreed so quickly.

Of course.

  When talking about the marriage of Xiao Li and Zhao Mingcheng in later generations, generally no one will mention the exchange of interests too much.

  After all, for Wen Qing, love should be pure and flawless.

   But in ancient China.

  How many men and women born in official families can truly pursue untainted love?

  For example, many people in later generations know that Xiao Li and Zhao Mingcheng are very affectionate, and they can be called imitating couples, gods and gods.

   But few people know that they separated not long after they got married:

   In more than a year, Song Huizong will use Cai Jing to cleanse Sima Guang's old party that he hates. .

  At that time, Li Gefei, as a protege of the old party leader V Su Shi, will naturally be classified into this camp, lose his job and be condemned to return to his original place.

  As for Zhao Mingcheng's father, Zhao Tingzhi, relying on his status as a member of the Yuanfeng Party, his official fortune was promoted to three ranks in a row, and he was once in the limelight.

  At that time, Xiao Li once asked Zhao Tingzhi for help, asking his father-in-law to exonerate his father.

who knows.

   What she waited for was not only her father's pardon, but the Zhao family's clear line:

  By taking advantage of the imperial court's new policy that "the clan is not allowed to marry the descendants of members of the Yuanyou Party", even though it is not a clan, the Zhao family drove Xiao Li out of the capital.

  Xiao Li's sentence "hot can be hot but cold" was written under this background.

   Then a few years later.

  Cai Jing was dismissed, and all members of the Yuanyou party were rehabilitated, and Xiao Li was able to return to Beijing to reunite with Zhao Mingcheng.

  However, the world turned upside down. In the second year, Cai Jing returned to the prime minister, and Zhao Tingzhi, who had been fighting with Cai Jing for power in the past few years, suddenly died of illness.

  So ever since.

   Cai Jing made a move, and the entire Zhao family was collectively thrown into prison.

  Among them, Zhao Mingcheng spent a few months in prison. He was released because he had no crimes, but he lost his officer and his house.

  So he could only live in Qingzhou with Xiao Li in seclusion, which was the ten years when the husband and wife loved each other the most.

Then came the resurgence of Zhao Mingcheng. As soon as Zhao Mingcheng, who got together with Xiao Li, left Li Qingzhao's sight, he immediately took in a few concubines-some people in later generations would wash this. This is a routine operation in ancient times. ·Continue to read it?

   Another few years.

  Zhao Mingcheng also came up with the show operation of being the magistrate and abandoning the city to escape. Xiao Li wrote down the most steadfast thing in his life, "I still think about Xiang Yu, but I don't want to cross Jiangdong".

  Since then, the relationship between Xiao Li and Zhao Mingcheng has dropped to a freezing point, and finally Zhao Mingcheng died of depression.

It can be said like this.

  The relationship between the two began with love and ended with contempt.

  How about asking this Xiao Li.

   Are you really happy?

  The ten years in Qingzhou were obviously yes, and no one can deny this.

   But what about those six years when you were expelled from the capital, and those years after separation?

  What about the whole marriage?

  Xiao Li's later poems are enough to explain everything.

  Xu Yun likes a word very much in later generations. It's better called a nightmare than a dream.

  Because nightmares are dreams after all.

  No matter how many desperate situations you encounter in your dreams, as long as you wake up from the dream, everything will at least not be worse.

   But sweet dreams are different.

   Once the dream is shattered, this gap may even completely crush a person.

   Although the middle-aged Xiao Li was not crushed by the impact of the shattered dream.

   But it is not difficult to see from the words and sentences that her mood has undergone many pessimistic changes.

  So perhaps in this timeline, it is a good thing that Xiao Li did not meet Zhao Mingcheng

Of course.

  At this time, Xu Yun was unaware of these things that happened in Li's residence.

  After leaving the mysterious man's house, he went straight back to Lao Su's residence and began to prepare his own lesson plans.

   the next day.

  Xiao Li arrived at the mansion on time, but Xiao Zhao did exactly as Lao Su said, no one was there.

  At the same time, Xu Yun also noticed.

  Xiao Li's mood seemed to be a little bit wrong, excited but also faintly worried.

  But Xu Yun didn't choose to get to the bottom of it. After all, being able to come to class means that there is nothing wrong with this girl.

   "Today we are talking about acceleration, which is a physical quantity that describes how fast an object changes speed"

  The initial concept of acceleration is not very difficult. To put it bluntly, it is a vector generated by force.

  In the textbooks of later generations, the acceleration is mainly interpreted through the motion state of the object, and then extended to uniform circular motion and so on.

  But in fact, if you want to understand acceleration, it will be easier to start from the unit, which is also a little trick of Xu Yun:

   The unit of acceleration is m/s, the unit of velocity is m/s, and the unit of time is s.

  The velocity of an object changes within a period of time. Divide the change in velocity by the period of time, and you can find m/s/s=m/s from the unit, which is the unit of acceleration.

   After more than an hour.

  Looking at the bewildered Xiao Li, Xu Yun smiled slightly:

   "Miss Li, isn't it very simple?"

  Xiao Li stared at the mosquito coils:

   "@@"

   While Xu Yun was instilling knowledge into Xiao Li.

   Outside the gate of the courtyard that was used as a temporary classroom, there was a sudden knock on the door:

   "Wang Lin! Wang Lin! Open the door quickly!"

  Hearing this, Xu Yun subconsciously exchanged glances with Lao Su who was listening.

   Then he walked quickly to the gate and took off the bolt.

  Just opened the door.

   Then I saw Lao Jia standing outside the door with his hands behind his back, with a look of eagerness on Sun Xiaochuan's face.

  Seeing this, Xu Yun hurriedly saluted as a junior, saying:

   "Tongyu first"

   As a result, before the greeting was finished, Lao Jia grabbed him and said:

   "Wang Lin, cosine, cosine, it's cosine!

  Multiple cosines can be added up to get a certain value, about one and a quarter to one and three one, or not? ? "

  Lao Jia's words seemed to have no beginning and no end, the meaning was unclear, and he even seemed a little drunk.

  But when he heard the word "Yu Xian", Xu Yun's heart suddenly set off a huge wave:

  Mom!

No way?

  Lao Jia and the others actually counted the cosine of the incident wave?

  This tmd is already the concept of envelope!

  Revolving is that Xu Yun has a big heart, and at this time he couldn't help but beating in shock.

This.

   Isn't this too outrageous?

   But according to the value that Lao Jia said at the end, this is clearly the specific mathematical solution of the Helmholtz equation in the light field!

To know.

  Before giving the calculation to Lao Jia and the others, Xu Yun once performed a simple calculation on the convex lens. After all, the questioner himself should know the answer.

  The calculation process is very simple:

  It is a simple calculation made by the original algorithm using Green's theorem to solve the wave equation and the spherical wave as the primitive.

  The final curved value is about 1.2993.

   And Lao Jia said one and a quarter to one and three one, which is 1.25-1.33.

It is clear.

   This is a set of similar answers.

  Although the calculation error of this thing will generally not exceed six decimal places in later generations, and some even do not exceed eight decimal places.

   But what are the calculation conditions for future generations?

  In ancient times when there was no system essence, this error was already quite terrifying.

  Think here.

  Xu Yun couldn't help raising his head, and looked at Lao Jia in front of him.

  Under several days of calculations, Lao Jia's already stinky face became darker and haggard.

  The hair is messy, and there are a lot of ink stains hanging on the cuffs and collar.

  However, everyone's eyes were still as sharp as a falcon, looking directly at Xu Yun, as if there was a fire burning inside.

  Xu Yun had no doubts.

  If he said "the data is wrong" at this time, the old man would not be discouraged at all.

  Just turn around immediately and go back to the study to re-calculate the data with a few other people.

   Then he took a deep breath and said solemnly:

   "Mr. Tongyu's calculation is almost the same as that recorded in the Zong's handbook, and the difference is very small.

  But just in case, can you let the villain see the manuscript of Mr.

   "It's simple."

  Old Jia Jian said that he grabbed Xu Yun's wrist and dragged him away:

   "Follow me to the study!"

Xu Yun watched this little old man in his eighties and almost nineties dragging himself along like he was carrying a chicken. He couldn't help but glanced at his right hand in doubt, and felt a sense of the basic skills he had practiced with Wang Ting these days. Deeply suspicious:

  “.?”

   Seeing this, Lao Su in the courtyard also turned to Xiao Li and said:

   "Qingzhao, let's go and have a look too. If there are no accidents, the preparation of high-powered microscopes and telescopes should be on the agenda."

  So ever since.

  The classroom was interrupted unexpectedly, and a group of people followed Lao Jia to the study.

  As soon as he entered the room, Lao Jia yelled:

   "Everyone, I brought Wang Lin."

   Hear this statement.

  Han Gonglian and the others who were staying in the study were shocked, and got up one after another, ready to say something.

   But before they spoke, Lao Jia continued:

   "Wen Yi, please fetch our manuscript first."

  Han Gonglian was taken aback when he heard the words, and then recovered.

  I saw him pick up a few manuscripts that he had prepared a long time ago from the desk, tidy them up briefly, and walked quickly to Xu Yun's side:

   "Young Master Wang, here are all the manuscripts."

  Xu Yun thanked him, found a place with good lighting, and checked the manuscript.

  Lao Jia and the others tactfully silenced their voices. Even though they had a lot to say in their hearts, they were forced to hold back at this moment.

  The manuscript given by Han Gonglian is about ten centimeters thick, and a large number of numbers and symbols are densely written on each sheet.

  The manuscript not only records the entire calculation process, but also serves as a memo or diary, recording a lot of daily deduction.

   "The outer half of a square is a moment, and the circle is a total of three numbers. The total length of the two moments is twenty and five, which is called the product moment."

   "The outer moment of the lens is to blue, the line length is five and three quarters, and it is recorded in Arabic numerals, that is, 5.75"

   "The complex moment in the lens goes to Sichuan, the line length is three and one fifth, and it is recorded in Arabic numerals, that is, 3.20"

   "Inscribed below the meridian corner of the central axis. The total group number is 1,737 engraved on the Hai corner of the secondary axis. Liu Yi and Xiong Huanzhi respectively led the first calculation from one to three hundred and eighty-eight"

   "Wednesday has a diameter of one, and the square is divided."

   "Assume that the unknown is Tianyuan. If you open many small holes to transmit light, you can get a variable value. It's very strange. Very strange. Even light can be tangent?"

   "Today, Zirong came again and advised us to eat and sleep as soon as possible, but because of his excitement, he did the same calculations with me until late at night, and told us the 'particle theory', and he suddenly realized."

   "If the light is also a micro object, then its deflection state can also be calculated and calculated. The next day, more than 5,300 groups of moments are calculated, and a constant number is obtained, which is about .

   "between one and a quarter and one and three"

   See here.

  Xu Yun couldn't help biting his back molars hard, trying to avoid losing his composure.

   But even so, his fingers were still trembling faintly.

  There is no other reason, Gein Lao Jia and others

   This time it's really awesome.

   Well known.

  In Fourier optics, spherical waves and plane waves can be used to represent any complex waves.

  Complex function = a direct current 0-order Fourier term + a higher-order Fourier term.

   That is to say.

  Spherical waves and plane waves are the fundamental solutions to the wave equation.

  The complex amplitude of the plane wave can be expressed as aexp[jk(xcosα+ycosβ+zcosγ)].

  cosα+cosβ+cosγ=1, this is the direction cosine of the plane wave.

  Based on this, the tilt factor K(θ) of Kirchhoff's diffraction theory can be obtained.

Of course.

  The deeper reason is because of the wave moving forward, each point on the front can be regarded as a source of secondary waves.

  The enclosing surface of each subwave source wave surface is the next new wave surface.

  θ is the angle between the position direction and the normal of the wave surface, which involves the wave nature of light.

   is very simple and easy to understand.

all in all.

  If the Kirchhoff theory describing the coherent superposition of spherical wavelets is called the spherical wave theory of diffraction.

  Then the angular spectrum theory is the plane wave theory of diffraction.

  At the beginning, Kirchhoff’s calculation method was carried out through vectors. In addition to integrals, mathematical tools include Green’s formula and so on.

  At that time, the field of mathematics was almost perfect, at least not always talking about the crisis of mathematics, or the collapse of the mathematics building.

  The calculation method of Lao Jia and others is much "stupid":

  The interval is locked by a triangular method similar to exhaustive comparison, and then the calculation is performed using the most primitive Jiaxian triangular binomial.

  As for the core idea of ​​this algorithm.

  Of course it is the micro theory proposed by Lao Su.

  According to the manuscripts of Lao Jia and others, although they did not realize the wave-particle duality of light, they had the idea of ​​​​separating light:

  They divided the deflection area into countless small parts, and intercepted five or six key deflection areas among them to calculate the tangent.

   This approach is theoretically feasible.

  But if there are only a few data, the calculated deviation may be very large.

  So in order to reduce this kind of error, Lao Jia and the others not only used the binomial division remainder of Jia Xian (Yang Hui) triangle, and then.

  Categorize all the data.

   Or to be more precise, it is classified by hand.

  The number of classified data is the last mentioned.

  More than 5,300 groups.

   This is undoubtedly a huge amount of calculation, especially for the elderly group in front of them, they may need to spend more energy to persevere.

  As for the deduced value of a little bit, what does it mean?

   Let's put it this way.

   As long as further inductive statistics can be carried out.

  Not to mention whether there is a chance to discover the half-wave band method, but it is still easy to deduce the formula f=(l^2-d^2)/4l.

  Once this formula is deduced, it can be said that the limitation of lens grinding is only the level of industrial hardware.

   Friends who have studied optical physics should know it.

  The Huygens-Fresnel principle first appeared in the West, which is Xu Yun's initial goal, which involves scalar problems.

  Its benefit is that the Gens-Fresnel principle is not a product of strict theory, but is largely obtained by simple intuition.

  So why "the superposition of all sub-wavefronts is to take their envelopes" cannot be explained clearly, but it can be used as an introduction.

Again.

   Sometimes concepts that are not complete can save effort and be easier to understand in the ancient context.

  But what Xu Yun didn't expect was that.

  Lao Jia and others went through a few days of hard work.

   Actually touched the fourth layer that I said at the beginning, which is the concept of Maxwell's field!

   Indeed.

   Lao Jia and others have only touched this field very small, and there is still a long, long way to go.

   It's like in the national college entrance examination paper, you deduce through a certain formula, and accidentally become the only person in the country who solved the last math problem.

   But other than that, you can't do all the math questions, and you only have 20 or 30 points in all subjects.

  So from the perspective of knowledge structure, this problem-solving is actually useless, and you won’t even be able to pass the vocational high school entrance examination.

  If you want to truly grasp the related concepts, you have to learn a lot of things such as minimum optical path length, half-wave band method, and disturbance contribution expression.

But on the other hand.

  You did solve that question, a question that many candidates may not be able to solve even after graduating from college. Uncle Ge X, who made the question group, just wanted to simply abuse people.

  This is an achievement that cannot be ignored, and has some real-world value:

  In this kind of topic, as long as you think about it, you can change your cash by opening a self-media account, and you can earn more and less.

  So Lao Jia’s situation is like this:

  They have this "hot topic", but they don't know how much value they can create.

  If the situation is normal, Lao Jia and the others are likely to be just a flash in the pan, just like Lin Huan who said "there are no difficult test papers in the eyes of Hanggao people".

   But the problem is

   I even forgot, Lao Jia and the others still have Xu Yun, a big hanger, by their side.

  Who knows whether a cluster of flames today may turn into a scorching sun in the future?

  Think here.

  Xu Yun's mood couldn't help surging again.

  Judging from the abilities shown by Lao Jia and others, their awareness of knowledge is obviously beyond their expectations.

   In native history.

  Kirchhoff's diffraction theory will not be formally proposed until the end of the nineteenth century, or it will be completed.

  Although the current year 1100 AD is said to be the twelfth century AD, the timeline is only stuck in the handover year of the two worlds.

   So it can be said.

   Lao Jia and others were 863 years ahead of Europe, and they first proposed part of the concept of lens diffraction!

   Lens Diffraction.

   This is a very flexible field.

   It can be obscure, or it can have profound impact.

  Xu Yun doesn’t know what changes it will have on the Chinese history of this timeline in the future, but at least he can be sure

  The telescope and microscope can be prepared now.

Note:

   There will be more later, ask for a monthly pass! !

   Report the results of the previous snack evaluation.

   The snowflake crisps are delicious and very cost-effective!

   Small stone cakes, the original taste is too light, the spicy taste is good, and the price is not expensive.

   Koluro Fudge, I don’t like it personally, the film is a bit irritating

   Niu Laba, delicious, but too expensive.

   Dried bamboo shoots and tofu are not bad at first, but they are not very durable, and they are a bit greasy after eating for a long time.

   Do you have any other snacks, please share! !

  (end of this chapter)