Chapter 186: The Problem of the Eternals? It's Crazy [Another Three Watches Asking for a Monthly Pass Recommendation]

"The Demon Emperor Taiyi has cattle grazing in Fusang, and its color is four, black, white, brown and yellow, and there is a difference between oysters. In terms of the number of oxen, the number of white cattle is the number of brown cattle plus half of the number of black cattle, and the number of black oxen is one-third. The number of black cattle is one-quarter of the number of yellow cattle, plus one-fifth of the number of yellow cattle, plus the number of brown cattle. The number of yellow cattle is one-sixth of the number of white cattle, plus one-seventh of the number of white cattle, plus the number of brown cattle. In terms of the number of cattle, the number of white cattle, is one-third of the number of black cattle, plus one-quarter of the number of black cattle. The number of black cattle is one-quarter of the number of cattle, plus one-fifth of the number of cattle. The number of brown cattle is one-sixth of the number of white cattle, plus one-seventh of the number of white cattle. Another question, if the black and white bull array is just right, the brown and yellow bull array can be triangular, and the black, white, brown and yellow oysters have their own geometry?

After Zhilong slowly reported the problem, he looked at Wang Qi with a little smugness. When he returned the stunned expression on Wang Qi's face, he was a little worried.

He was very optimistic about this junior, not only because he had waited for 50,000 years to wait for such a suitable inheritor, but also because Wang Qi had several inheritances and mathematical god rings.

This is the fate, the indescribable fate.

What if he can't answer? Do you want to give a hint?

When Zhilong Zhenren thought like this, Wang Qi only felt absurd.

This is...... Puzzles for the ages?

Well, it's really a puzzle. Archimedes' herd problem, the great mathematician Archimedes has studied a difficult problem that has not been solved for a long time.

However, no matter how difficult the problem is, there are also time limits. Before the invention of calculus. The only way to measure irregular shapes is to use the digging method, which is extremely troublesome and inaccurate, but after the advent of calculus, this kind of world problem is just a general exercise. Going back even further. In the era when the commutation method was not born, the system of binary equations was a difficult problem that could make great mathematicians scratch their ears and cheeks. There was once a mathematician on Earth who held a grudge against another mathematician who secretly learned how to solve equations and went to the Inquisition to frame him as a wizard.

Advances in mathematical tools and tools for seeking truth have gradually reduced the difficulty of what was once a difficult problem.

The reason why the Mathematics Olympiad in primary school can stump university teachers is also because this kind of problem often limits the mathematical tools, and does not allow the use of equations or calculus, which makes a simple problem a difficult problem.

"The biggest problem is the amount of calculation...... Wang Qi sighed and directly reported the answer: "There are infinite solutions to this problem." The first question has a minimum solution of 5916837175686, and the second question has a minimum solution of more than 206,500 digits alone, and the answer must be reported for several hours if you report it with your mouth. Predecessor. Let's use what we wrote......"

"Impossible! This can't be!" Zhilong looked horrified, as if he had seen the most incredible thing in the world.

He is...... He actually ...... He actually reported the answer directly?

"Someone must have made this question in the past 50,000 years, did you memorize it?" Zhilong found a reason and forced himself to calm down. But Wang Qi felt that the other party was a little inward-looking. He made a list of equations on the ground: "So that real people may know." In the early days of antiquity. I have made a breakthrough in leaving the sect of ten thousand methods, and I have a new learning, called the 'Tianyuan style', which takes the method of elementary algebra of the ancient arithmetic, but it goes further......"

Zhilong asked, "Elementary algebra?"

That is, the algebra developed by the Middle Ages mathicists is different from the new algebra developed by our predecessors from generation to generation, and is called primary. By the way, Lianzong also absorbed this aspect. Wang Qi went on to explain: "Here we can list a quaternary Tianyuan group......

Zhilong felt that things had exceeded his expectations. He hurriedly stopped: "Wait a minute. How does Lianzong absorb the roots of the sect?"

Algebra is closely related to number theory, and it is naturally the root of the sect.

Wang Qi had to explain: "There were predecessors who wanted to unify and leave the sect. Create a one, called the 'Heavenly Position Law'......"

The so-called celestial position method naturally refers to the basis of celestial work, analytic geometry.

Analytic geometry appeared very early, and it was not difficult for Zhilong to understand. However, it was precisely because he could understand that he was even more shocked in his heart: "This ...... This is the Tao! This is the Tao!"

Looking at Zhilong's real people dancing, Wang Qi couldn't bear it. The gap between them is not a gap in the level of individuals, but a gap in the development of civilization. Excluding the nearly 50,000-year-old ancient law period, the gap between the two of them is 2,000 years of mathematical development history!

If you want to shake the thousand-year-old talents of the Ten Thousand Methods with your own body, it is difficult and difficult!

In an instant, Wang Qi listed several eight-element equations. Immediately after that, the equations for the number of squares and triangles are listed, and two systems of binary quadratic equations are solved.

"The celestial position method is formed according to Euclidean's five laws, and to calculate the eight-element celestial group, there must be eight pairs of perpendicular number axes......"

Zhilong is going crazy: "Eight...... How is it possible to have eight straight lines that are perpendicular to each other and intersect at one point?"

"Oh, this is an extension of Euclidean Taiyu, called 'Xiangyu', and the ordinary space only has three sets of directions: up and down, left and right, front and back, which is three phases. And 'Xiangyu' is a ...... with infinite phases."

"What's the use of that?"

"Uh...... On a normal scale, it's not very useful, but it's necessary to study the microscopic world or complex systems......"

The more Zhilong Zhenren asked, the more crazy his expression became. But by the time Wang Qi solved the problem, he had calmed down.

The ancient arithmetic man sighed leisurely: "The afterlife is terrible, the afterlife is terrifying!"

"Yangtze River...... Ahem, the back waves of the river push the front waves, and one wave is stronger than the other. Wang Qi Zhengse said: "This is a slang phrase in my hometown. ”

Zhilong Zhenren laughed: "What a 'wave is stronger than a wave'! This sentence is good! Enough flavor!" Then, he stared at Wang Qi with burning eyes: "I still have a few questions here...... No, not for you. I know, I can't test you anymore. I just want to know if these questions will be solved in the future. ”

Wang Qi nodded: "Okay." ”

"Purely based on the rule drawing method, can we solve the three problems of cubic multiplication, turning circles into squares, and dividing angles into thirds?"

Regular drawing, also known as ruler and gauge drawing on the earth, is a method of drawing simply with a compass and a rectangular ruler without a scale. Cube the product of a cube so that the volume of the cube is twice that of a given cube, the circle is squared so that it is equal to the area of a given circle, and the third angle is divided into three equal parts of a given arbitrary angle.

Wang Qi shook his head and said, "It's all impossible." First of all, to square a circle, there must be a number involved, that is, pi, the ratio of the circumference of the circle. And we can use arithmetic methods to prove that pi is a transcendence number - what is a transcendence number you can ask later, in short, I will say one thing first, this transcendence number is absolutely impossible to do simply with a circular ruler...... The cubic is a bit difficult to explain by the product. First of all, let's talk about a few concepts. This concept is derived from the general solution of the high-phase Tianyuan formula...... This problem can be converted into a group theory problem......"

The Garova theory, one of the important theories of group theory.

Zhenzizi has listened to more than half a year's courses than Zhilong Zhenren, but his receptivity is not as good as that of this ancient arithmetic. He just thought this scene was a bit absurd.

Said good test, as if ...... Became a lecture?

And is it the trialed person who teaches the trialist?

This...... It's crazy!(To be continued......