My diary of transcendence from the heavens

Chapter 52 52. Improving mathematics, dimensionality reduction attack

The next day, Zhao Xuanqi woke up early.

The early morning sunshine fills the room through the windows, making the somewhat cold room warm. The air is filled with a light fragrance, making people relaxed and happy.

He stood up and moved around, relaxing his hands and feet.

Then he drank the fish soup prepared by the officials this morning and ate a large bowl of rice before continuing to answer questions.

What was very thoughtful was that the official also prepared a pillow for him. The pillow was placed on the chair, which made it much more comfortable.

The original chair was hard and cold, but with the pillow, my butt would not feel hard and painful no matter how long I sat there.

"Huh? The second biggest question in the additional questions is actually a math question. The questions in this part are all math questions!"

Zhao Xuanqi's eyes sparkled.

The Jinshi scientific examination already involves various topics such as astronomy, geography, mathematics, scriptures, etc. It is natural for mathematics questions to appear.

After all, Jinshi, in addition to the most basic writing and poetry, must also be proficient in arithmetic. Only in this way can one obtain the title of Jinshi and become an important official.

The development of mathematics in the Northern Wei Dynasty was not too fast. Many people were not proficient in mathematics. There were not many books on mathematics. Mathematics was also considered a minor skill, so it only appeared in the Jinshi examination, and only top students could be involved.

Zhao Xuanqi looked at the question.

【Three to three, two left】

[Three left from the count of five]

【Two left from the count of seven to seven】

[Ask about the geometry of things? 】

“It’s a headache to solve ancient mathematics problems using classical Chinese, but that’s the extent of the difficulty. For me who have received modern mathematics education, these mathematics problems are much simpler and can be solved easily with a high school diploma. "

Zhao Xuanqi made some comments.

Then he showed a confident smile.

这个题目翻译过来是：“有一堆物品，3个3个数剩2个，5个5个数剩3个，7个7个数剩2个，求这堆物品的数量？”

The answer is simple.

"The total number of items is not unique. It is an arithmetic sequence with a difference of 3*5*7=105."

“每个答案都可以分解为3个数之和，第1个数能够被5和7整除，且除以3以后余数为2；第2个数能够被3和7整除，且除以5以后余数为3；第3个数能够被3和5整除，且除以7以后余数为2。”

“容易看出，第1个数为140，第2个数为63，第3个数为30，则140+63+30=233就是原题目的一个解，且23，138，233和338等都是原题目的解。”

Zhao Xuanqi quickly finished the answer.

Then he looked at the second math question.

The classic pheasant and rabbit cage problem.

[Pheasant and rabbit in the same cage]

[There are 35 heads on it]

[There are 94 feet below]

[Ask the geometry of each pheasant and rabbit? 】

Translated: There are chickens and rabbits in a cage today. There are 35 heads on top and 94 chickens on the bottom. How many chickens and rabbits are there?

Zhao Xuanqi remembered this type of questions. In his previous life, were they learned in junior high school or high school?

The parsing is simple.

(One of the arithmetic solutions)

Think about the rabbit’s foot as the main element:
Assume that the first 35 are all rabbits, then there should be 35 × 4 = 140 legs, so there are 46 more legs. You can use rabbits to replace the same number of chickens to reduce the number of legs. Every time a rabbit is removed (a chicken is replaced) ) to reduce 2 feet, how many rabbits need to be removed (that is, how many chickens are replaced) to reduce 46 feet?

Obviously there are 46÷2=23 chickens (only)

There are rabbits 35-23=12 (only)

If calculated using mathematical comprehensive formula:

有鸡（35×4-94）÷（4-2）=23（只）有兔35-23=12（只）

Answer: 23 chickens and 12 rabbits.

It was a very difficult question for ancient people, but if you use modern mathematical knowledge to think about it, and there are various formulas and symbols to solve the problem, in fact, the difficulty is just that.

In the final analysis, the development of mathematics in the Northern Wei Dynasty was very slow. It was in the preliminary stage of mathematics development. Mathematics was not used in many places and was far inferior to modern mathematics.

Modern mathematics is at its peak, and it has led mankind towards scientific and technological civilization. Mathematics is everywhere and needs to be used everywhere. What is the length of an oblique angle? All kinds of mathematical problems are as tricky as they are.

For example, Chinese children study mathematics starting from the nine-year compulsory education, and then go through three years of junior high school and three years of high school.

After three years of college, PhD, and postdoc, countless people were hanged on the tree at Gaoshu. Zhao Xuanqi was once one of them.

His arithmetic skills, problem-solving ideas, conversion symbols and other aspects are completely crushing this era!

The mathematics of the Northern Wei Dynasty was inherently weaker than postmodern mathematics.

In addition, the scholars of the Northern Wei Dynasty did not know the symbols of addition, subtraction, multiplication and division, nor did they know the modern Arabic numerals 1234 and so on.

I don't understand these simple mathematical symbols, so I can only use Chinese characters to perform some arithmetic. You can imagine how difficult arithmetic is.

Next, there are several math questions on the exam, all of which are the pinnacle of difficulty in this era and require complex calculations.

But for Zhao Xuanqi, these questions were just child's play, and it didn't take long for him to finish all the questions.

And he didn't just use one way to solve the problem. For some questions, he even listed three or four ways to solve the problem.

After all the math questions are finished, there is still a requirement at the bottom of the math questions: [Can today's arithmetic be improved?Optimizing arithmetic methods? 】

"This question is basically difficult for other candidates to solve. If you want to improve your arithmetic, this is as difficult as the sky. It is far beyond what one person can do."

"At least it requires a top team in today's era to perform calculations and summaries day and night before it is possible to advance mathematics further. The advancement of civilized knowledge is so difficult."

"I think many candidates will give up answering this question!"

"Fortunately, I am not alone. In my head, I have mathematical theories and mathematical formulas summarized by countless ancestors on the earth. These crystallizations of wisdom are far ahead of this era. They have been crushed for more than 1000 years. If they are released now, they will definitely reduce the dimension. Strike!"

Zhao Xuanqi did not hesitate.

This is already the Jinshi examination.

Only by maximizing your score and shocking everyone can you gain the greatest benefits for yourself.

Sometimes if you hold on, you will miss out on the benefits.

Only when you show your strength at the critical moment will someone be willing to invest, and only then will someone take a fancy to you and give you the benefit of changing the world.

If you don't call it, it's a blockbuster!
He did not give up on the topic and started writing slowly.

Simplify the math!
This time when he started writing, he listed all Arabic numerals and simple mathematical symbols such as addition, subtraction, multiplication and division on the examination paper.

Moreover, he thoughtfully wrote a large number of words to explain the meaning of the symbols, and to analyze the benefits and convenience of simplified symbols.

With these simple and convenient symbols and numbers, it can be said that the complexity of mathematical problems is instantly reduced by more than ten times.

Even the multiplication tables are written out together.

There were no multiplication tables in this era.

In addition, Zhao Xuanqi also wrote some basic theories of mathematics, some modern mathematical problem-solving methods, basic laws of mathematics, basic formulas, and some modern mathematical thinking on the answer sheet.

In this era of initial development of mathematics, Zhao Xuanqi has single-handedly pushed the difficulty of mathematics to a higher peak, completely helping the world open the door to mathematics!
If the original mathematics was just a sapling, with Zhao Xuanqi's knowledge and theories, this sapling has grown vigorously and become an ancient tree.

In the past, the difficulty of the questions was roughly equivalent to that of elementary school and junior high school. Now they are at least high school and college level, involving a bit of advanced mathematics theory and spanning several levels of difficulty.

In the future, candidates will learn more mathematical knowledge and it will be more difficult. At the same time, they will have many new ways to solve problems, and the way to solve problems will be many times simpler.

It is conceivable that the mathematics of the Northern Wei Dynasty will usher in new changes and a new era in the future!

When Zhao Xuanqi started writing, what he wrote was not just a simple number of words, but a brand new world, a world of mathematics, a vast new world of numbers.

Promote the development of the entire mathematical community with the power of one person.

(End of this chapter)