Into Unscientific

Chapter 145 The results of calculations 863 years ahead of Europe are born! (6.8k

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

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

In fact, this is also normal.

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

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 firm supporter of the reform or 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, and 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 it is impossible for Lao Li to agree 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 Wenqing, 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 protégé of the old party leader V Su Shi, will naturally be assigned to this camp, lose his job and be condemned to return to his hometown.

And Zhao Mingcheng's father, Zhao Tingzhi, relied on his status as a member of the Yuanfeng Party, and his official career was promoted three times 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:

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.

It is against this background that Xiao Li's phrase "hot hands can be warm but cold" is written.

Then a few more years.

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.

Ever since.

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

Among them, Zhao Mingcheng sat in prison for several months. He was released because he had no crimes, but he lost his official position and his house.

So he could only live in seclusion in Qingzhou with Xiao Li, 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 an ancient routine. Li Qingzhao's " Feelings and Preface" Let's read it?

A few more years.

Zhao Mingcheng also made a coquettish operation of being the magistrate and abandoning the city to escape. Xiao Li wrote 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.

Just ask this little Li.

Are you really happy?

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

But what about the six years when he was expelled from the capital, and the years after the 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, at least everything will 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 many pessimistic changes have taken place in her mood.

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

Of course.

Xu Yun at this time was not aware of these things that happened in Li's residence.

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

the next day.

Xiao Li arrived at the mansion on time, but Xiao Zhao was nowhere to be seen, just as Lao Su said.

At the same time, Xu Yun also noticed.

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

However, Xu Yun did not choose to get to the bottom of it. After all, being able to attend class meant that the girl had no major problems.

"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 interpretation of acceleration is mainly through the state of motion 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.

If the speed of an object changes within a period of time, divide the change in speed by the 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 Xiao Li with a confused face, Xu Yun smiled slightly:

"Miss Li, isn't it very simple?"

Xiao Li stared at the mosquito-repellent incense:

"@@"

And at the same time that 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 door 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 gave a junior salute and said:

"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 between one and one quarter and one and three one, isn't it? ? "

Lao Jia's remarks 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 "cosine", Xu Yun's heart suddenly set off a huge wave:

Mom!

No way?

Lao Jia and the others actually calculated the cosine range of the incident wave?

This tmd is already the concept of envelope!

Even though Xu Yun has a big heart, he couldn't help beating in shock at this moment.

this.

This is too outrageous, right?

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 person who wrote the question also needs to know the answer.

The calculation process is very simple:

That is, simple calculations made by using Green's theorem to solve the wave equation and the original algorithm of spherical waves as primitives.

The final value of the curved state 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.

Here is a set of similar answers.

Although the calculation error of this thing generally does 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 the 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.

After counting for several days, Lao Jia's already stinky face became darker and haggard.

His hair was disheveled, and there were a lot of ink stains on his cuffs and collar.

But the gazes of all the figures are still as sharp as a falcon, staring directly at Xu Yun, as if there is 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.

He just turned around immediately and went back to the study to recalculate the data with the others.

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 show the villain the manuscript first."

"It's simple."

Lao Jia saw 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, Old Su in the courtyard also turned to Xiao Li and said:

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

Ever since.

The class 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 here."

I heard this.

Han Gonglian and the others who were staying in the study were shocked immediately, 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 immediately came back to his senses.

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

"My lord, 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 choked back at this moment.

The manuscript given by Han Gonglian was about ten centimeters thick, and a large number of numbers and symbols were 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.

"One moment of the outer half of the square, and the total length of the two moments are three, and the total length of the two moments is twenty-five, which is called the product moment."

"The outer moment of the lens is 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 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 number of groups engraved on the Hai corner of the secondary axis is 1,737. Liu Yi and Xiong Huanzhi respectively led the first calculation from one to three hundred and eighty-eight."

"Wednesday's diameter is one, except for the prescription."

"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. If the light can also be tangent?"

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

"If light is also a microscopic object, then its deflection state can also be calculated and calculated. The next day, more than 5,300 sets of moments will be calculated, and a constant number will be 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 was really awesome.

well known.

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

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

That is.

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

Wherein 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.

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, the mathematical tools include Green's formula and so on.

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

However, 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 carried out by 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 value may be very large.

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

All the data will be sorted and calculated.

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 few points, 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 derive 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.

What first appeared in the West was the Huygens-Fresnel principle, which was Xu Yun's initial goal, and it involved scalar problems.

In fact, the Huygens-Fresnel principle is not a product of strict theory, but is largely obtained by simple intuition.

So why "the superposition of all subwave fronts 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 the others went through a few days of hard work.

It actually forcibly 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 it 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.

Therefore, from the perspective of knowledge structure, this problem-solving is actually useless, and you can't even pass the vocational high school.

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

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 value:

With 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 it 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

What's more, Lao Jia and the others still have Xu Yun, a big hanger, beside them.

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 was not formally proposed or completed until the end of the nineteenth century.

Although 1100 A.D. is said to be the twelfth century A.D., on the timeline, it is just 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 put forward part of the concept of lens diffraction first!

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

Telescopes and microscopes can now be prepared.