Into Unscientific

Chapter 142 The World's Strongest Mathematics Group in the 11th Century! (6.6k)

"Oh? Mr. Yang Huai?"

in the house.

Hearing the name Xie Lao Guan reported.

Lao Jia, who was studying ink, suddenly put down the ink stick, raised his head, and asked Lao Su:

"Brother Zirong, Mr. Yang Huai, isn't this the Han Gonglian and Han Wenyi who calculated the wheel scale in Yuanyou's armillary sphere?"

"Yes, it is this person."

Old Su nodded, affirming his words.

At the same time, with a trace of apology on his face, he explained:

"The matter of the lens is very important, so the old man has the audacity to invite a few masters of digital arithmetic to come to help, and please Mr. Tongyu not to be offended."

Lao Jia waved his hand indifferently and said:

"Brother Zirong, it's a trivial matter, why do you blame it?

It just so happens that Wen Yi and I have not seen each other for many years, so I happened to meet him at your house to see what this kid has become.

Wouldn't it be great to save a few bucks for your meal? "

Lao Jia said these words quite frankly, without any hypocrisy.

I can tell.

He really didn't think there was anything wrong with Old Su's actions.

After all, he was also a person who had been a member of Zuoban Dianzhi before, and after being transferred to Daizhou, he also participated in several engineering designs organized by the state government.

So he knows.

In the face of some practical projects, a person's ability is quite limited, and the official will not just put eggs in one basket.

At most, it is to distinguish between the primary and the secondary in terms of status, but in fact, the final calculation result should be the primary one.

Although he still doesn't know what kind of big event Lao Su or Xu Yun is going to use the lens principle to do this time.

However, it is not difficult to judge from the formulas that Xu Yun wrote earlier. This is undoubtedly a project that requires a lot of tools and computing power.

Therefore, not only did he not dislike the arrival of Han Gonglian and others, but he even welcomed them.

after awhile.

Under the leadership of Mr. Xie Duguan.

Six men of different heights, fat and thin, and ages walked into the house.

"Mr. Tongyu, come, come, I will introduce you to the old man."

After the six people entered the house, Old Su pointed to them and said:

"This is An Shisong, whose name is Yingtong. He is now Zuo Lang of the Ministry of Officials. He is known as Mr. Dongping."

An Shisong is a little old man in his fifties, a little thinner than Lao Jia, with a goatee.

But what attracted the most attention was not his beard, but that he was still wearing a black jacket in summer.

After Lao Su finished his introduction, he respectfully saluted Lao Jia:

"Junior An Shisong, I met Mr. Tongyu."

Although Lao Jia seems to have a bad temper, he is quite polite when facing his colleagues.

After all, mathematicians these days are as rare as genuine readers in later generations, and he also returned a salute:

"Mr. Dongping is polite."

Upon seeing this, Old Su went on to introduce:

"This is Xiong Huanzhi."

"This is Song Ke"

"This is Lin Huainan."

When he came in front of the fifth young man, Old Su emphasized a few more words:

"This is Liu Yi, whose name is Leyi, and whose name is Mr. Jinqu.

He is the youngest mathematics instructor in the Jigu Academy, he studies heaven and man, and the future can be expected. "

Hearing the name Liu Yi.

Lao Jia didn't react, but Xu Yun couldn't help but look at him a few more times.

Liu Yi.

This is one of the mathematicians who were mentioned in the selection process and left their names in the history books.

However, there are not many records about Liu Yi in the history books, only mentioning that he was a figure in the late Northern Song Dynasty.

Around the third year of Yuanfeng, that is, 1080, he completed a book "On the Origin of Ancient Times" and proposed a root-finding method for quadratic equations.

Judging from its ability to be compiled into "Field Mu Comparing Analogous Multiplication and Dividing Method" by Yang Hui later, his ability should be stronger than ordinary mathematicians.

After all, Yang Hui was born in the middle of the 13th century, only a hundred years behind the Northern Song Dynasty.

It is equivalent to researching the characters of the Opium War period in modern times. In theory, there will not be too many mistakes and omissions.

After introducing Liu Yi.

Old Su pointed to the tall fat man on the far right:

"Mr. Tongyu, I don't need to introduce this old man."

Old Jia heard the words and stepped forward, looked at the man slightly, and said with some emotion:

"Wen Yi, you and I haven't seen each other for twenty years, right?"

The fat man is Han Gonglian cheerfully cupping his hands at him:

"It's been twenty-three years. I haven't seen you for many years, sir, but I still look good."

Lao Jia returned a simple salute to him, and then asked curiously:

"Wen Yi, when I first saw you, you seemed like you couldn't even get enough to eat, and you had to do odd jobs to make ends meet after the holidays.

Why have you gained a lot of weight since I haven't seen you in these years?

And this dress. Let me take a look. Tsk tsk, Tianxinxuan's? "

Tianxinxuan.

Just by hearing the name, one can tell that this store has an extraordinary background.

After all, in ancient China, people's names were easy to say, but there were not many shops that could have the word "天" in their store names.

Not to mention at the feet of an emperor like Bianjing, at least there are ordinary relatives of the emperor behind this kind of shop.

Looking at Lao Jia with a surprised face, Han Gonglian still looked cheerful:

"Mr. Tongyu, you don't know something. In the seventh year of Yuanyou, Boju won 700 coins, bought a few acres of land, and collected some grain for the autumn harvest.

At the beginning of the new year, when the Qingtang Dynasty was recovered, the price of food soared, and it became a lot of money in one fell swoop."

Lao Jia and Xu Yun:

"."

have to.

Another little mystery has been solved.

Anyone who knows Song history knows that the Song Dynasty was a period when the gambling industry was very, very developed.

The more common ones are throwing money and Guanpu, and the more advanced ones are Cuju horse racing.

What is even more outrageous is to dare to bet on which concubine the emperor favors today-sometimes the emperor is still behind the scenes, can you believe it?

Basically, anything can be a gamble except the ownership of the throne.

therefore.

A very strange thing happened:

In the Northern Song Dynasty until 1023, the name of the European emperor who won the grand prize would be recorded every year.

In the seventh year of Yuanyou, that is, in 1092 AD.

There was a Ouhuang in Bianjing who won more than 700 coins, and his registered name was Han Gonglian.

Therefore, some people in the mathematics circle of later generations firmly believed that this Han Gonglian was that mathematician, and that the two were the same person.

After all, the name Han Gonglian can be said to be quite rare, and the probability of coincidence is not high.

However, for another group of people, they were rejected on the grounds that they did not have accurate information.

Although it is for the sake of so-called rigor on the surface, in fact, Xu Yun is more inclined to be angry from African chiefs.

The line of sight returns to the original place.

After introducing each other, Xu Yun simply repeated the content of the question.

After a while.

Several mathematicians who are the last and top-notch contemporary mathematicians officially started the calculation.

Take a look at this configuration:

Jia Xian, Han Gonglian, and Liu Yi are just three mathematicians recorded in history books.

Although the remaining three people are unknown, there are not many records in history books.

But it is not difficult to see from the simple conversation that these people's mathematical accomplishments are also quite good, just because their identities as mathematicians have been ignored.

It can even be said that.

In this day and age, in AD 1100.

These six people are the world's strongest counting group!

True limited edition lineup.

In fact, from the perspective of future generations.

Xu Yun's question is actually not too difficult:

This is a threshold of Fresnel approximation, strictly speaking, it is a kind of geometric optics, and there are various solutions.

The simplest one, of course, is the geometrical optics method of construction.

However, the simplicity is simple, and the information that can be given by the mapping method is very limited, and only the imaging properties of a lens with a known focal length can be given.

It cannot relate the focal length to the properties of the lens itself, which is the simplest way in mathematics.

Going a step further, you can use the basic principle of geometric optics, which is Fermat's principle.

Using Fermat's principle, the influence of lens shape and material on imaging can be given under the geometrical optics approximation, which is more troublesome in mathematics than the previous one.

The third stage is the Huygens-Fresnel principle, which is the scalar wave diffraction theory of light.

Using this theory to analyze the imaging problem can also give more information - such as the influence of the lens aperture, etc., which is why the larger the aperture of the astronomical telescope, the better.

The more rigorous nature is Maxwell's equations, which solve the wave equation under given boundary conditions.

But in the end this method is too troublesome.

To give the most intuitive example:

Have you ever seen the blackboards in the lecture halls of universities in later generations?

If you use the fourth method, you need at least six such blackboards—and you may not be able to calculate the analytical solution.

So unless the previous approximation theory does not apply, generally no one does it.

Because of this, Xu Yun is going to take the third way of thinking.

Although the third method is much more complicated in theoretical mathematics, calculating a lens requires two double integrals.

But first of all, its practical effect is the best. In the case of a serious lag in the theoretical system, the importance of the practical effect is needless to say.

secondly

Lao Jia, he is the true inventor of the Yang Hui Triangle.

Yang Hui's triangle is one of the most suitable ancient tools for solving integrals, so it is actually quite practical in theory to let Lao Jia take that step.

Of course.

Taking a step here does not refer to the invention of calculus, but a temporary application of ideas.

After all, calculus cannot be obtained by relying on Yang Hui's triangle alone, it requires a certain amount of mathematical accumulation.

More critically.

This kind of mathematical accumulation does not refer to personal accumulation, but the accumulation of the entire mathematical world and the entire era, which is a sublimation of qualitative change.

Therefore, Xu Yun didn't intend to become a fat man in one go, let alone his relationship with Mavericks is not bad, at least he is a wine and meat friend.

The line of sight returns to the original place.

After suddenly discovering a new field, Lao Jia, Han Gonglian and others showed great interest.

After all, these days, it is very rare for this kind of team to tackle key problems.

I saw a few people either discussing their ideas, or directly taking data measurements.

For example, in Liu Yi's hands, a very primitive tool appeared at this time:

curved ruler.

When it comes to curved rulers, we have to talk about another concept first:

angle.

In their long scientific and technological practice, the ancients of Huaxia actually formed the concept of abstract angle very early - the early word here can even be traced back to three or four thousand years ago.

But unfortunately.

They did not use this as a development to establish the exact measurements of the corresponding angles.

Notice.

is an accurate measurement.

This situation lasted until the Ming Dynasty, when the concept of perspective brought by the missionary Matteo Ricci broke this situation:

The "Elements of Geometry", which he and Xu Guangqi jointly translated, gives the general definition of angles, describes the classification and various situations of angles, the representation methods of angles, and how to compare angles with angles.

Since then, the 360-degree division method has officially appeared in the cognition of the Chinese mathematics community.

And before that.

Huaxia generally only has two rough angle measurement methods.

The first type is very simple, that is, it is only divided by obtuse angles and acute angles, and the characters used are 倨 and gou.

倨 means blunt, tick means sharp.

The right angle is the right angle.

The second is more complicated.

It is somewhat similar to measuring bearing:

Use the twelve earthly branches of Zi, Chou, Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu, and Hai, plus the ten thousand of A, B, C, D, G, Xin, Ren , Gui, and Qian, Kun, Gen, and Xun in the eight trigrams form twenty-four specific names to represent angles.

In other words, each name is about fifteen degrees.

But it is very strange. It can even be said that it is still an unsolved mystery.

The ancient Chinese sages actually knew the concept of 360:

When the ancestors made astronomical observations, they used the division of the circumference of celestial bodies, which is actually a division system of 365+1/4 degrees.

In a sense.

This is already infinitely close to a 360-degree approach.

What a pity.

In the case of measuring angles other than astronomy, the ancestors did not use this system at all.

therefore.

This method of graduation cannot play any role in the establishment of Huaxia angle measurement.

So in some marketing accounts, you will see the saying "Huaxia is actually the first nation to define 360 ​​degrees", which uses the celestial graduation system.

Unfortunately.

The second half of the sentence is fine, but the whole sentence is wrong.

Or give a modern example, it should be easier to understand where the blame is:

This is probably somewhat similar to the 21st century. A scientist correctly analyzed the concept of high-dimensional space, but he did not apply this concept to scientific research, but used it to make certain basic settings for novels and movies.

But this set of settings has been used by many movies, so almost every ordinary person on the planet has heard of this set.

But in the scientific research community, everyone seems to ignore this setting, and only delve into various inefficient theories.

This is indeed a very strange situation:

Because the circumference of celestial bodies is also determined by the method of arranging circles, with the wisdom of the ancestors, it is impossible not to think of this.

Therefore, in some civil science circles of later generations, some people put forward some naughty conjectures.

For example, the cognition of the ancient ancestors was blocked, and the fragments related to the angle were taken away, etc.

There is even advocating 256 degrees because of this, which is quite weird.

The topic is back to the original place.

No matter which angle division method the ancestors adopted, after dividing the angle, another step must be carried out:

Measurement.

It is precisely because of this that the curved ruler appeared.

This is a square with a long side and a short side, and there are also special arc curved squares.

In some places, this thing is also called a square, commonly known as a crutch.

Only at this moment.

Liu Yi was holding a curved ruler to measure the angle of the lens:

"The clown is engraved in the middle. The Wu angle is engraved on the Hai angle. The Yin angle is engraved on the top"

The top is engraved, the bottom is engraved, and the middle is engraved.

This should be a classification that Liu Yi came up with, and it has been refined again compared to the 24-point angle.

But even so.

It just reached an accuracy of 72 points, which is five times worse than 360 points.

And to correct the difference of five times, there is one and only one way:

By continuously adjusting the lens angle, a large amount of corresponding information is collected.

Next, through human calculation, the most accurate answer is screened out step by step.

When Xu Yun saw this, a trace of unbearableness flashed in his eyes.

To know.

This is the most basic part of the whole process.

Later generations only need three to five surveying and mapping data to lock a certain interval, while Lao Jia may need hundreds of sets.

After all, there is a square root process, which means that the amount of calculation is increased many times.

Thinking of this, Xu Yun couldn't help opening his mouth.

Subconsciously want to tell Liu Yi and Lao Jia the concept of angle.

But after hesitating again and again, he gave up the idea.

After all, according to his original intention.

I really can't participate too much in this convex lens derivation

If you tell Lao Jia the angle concept.

What about the angle of incidence and angle of exit?

What about the girdle radius?

What about screen function sampling?

What about the Fourier transform?

These are all connected concepts.

Even though Xu Yun only spoke a few words, in order to break through these barriers, the sages (whether Chinese or foreign) paid a huge price.

Therefore, no matter what, this hole must not be opened.

Just like women's clothing, there will only be zero and countless openings.

To know.

The time Xu Yun can stay in this world is not long, just over a year.

If the task is completed ahead of schedule.

It may even return to reality within a few months like the 1665 copy.

True.

He can come up with some big news during this period of time, shocking and shocking these ancient people.

But if you just blindly instill finished product knowledge, you don't tell the deeper reasons, and you don't build a system with self-thinking feedback.

Then after Xu Yun left, everything would only become a 'black technology' that only knew the outside but didn't know the inside.

The fate of this rootless duckling is vividly reflected in the later Huaxia Jinyuan football:

when capital flows in.

The capital introduces well-known foreign players, and the stars who have studied abroad or are expected to study abroad will stay in China.

Overdraw their youth and not train newcomers.

There is no difference in the league for a while, the football market is gratifying, the AFC Champions League and even the Club World Cup have achieved good results.

But when the gold dollar receded.

Everything was beaten back to its original shape, even worse than before.

Like now.

Chinese football fans can already look forward to losing to Myanmar.

Xu Yun is worried about this kind of thing:

Knowing it but not knowing why it is a very dangerous situation.

Therefore, Xu Yun would rather slow down his pace and bring less changes to the world.

I also hope to reclaim a piece of vigorous soil for them.

And the first step in reclaiming the land.

It fell on Lao Jia, Han Gonglian, Liu Yi and others.

Think here.

Xu Yun couldn't help taking a deep breath, and said to Old Su:

"Master, let's go out and talk."