How to say Sun Tzu s theorem in English, how to say Sun Tzu in English?

孙子Theorem [sūn zǐ dìng lǐ].

Basic translation. chinese remainder theorem

As soon as Grandson heard it, he knew that you were going to curse and be naughty.

You can search for "Chinese Remainder Theorem", there will be many explanations, and its example question "Argument Zhao Zen has countless things today, the remaining 2 of three or three numbers, the remaining 3 of five or five numbers, and the remaining 2 of seven and seven numbers, and ask how many there are in total." In fact, this is just a simple problem in the residual calculation to explain and explain, this Chinese residual theorem is not suitable for other large divisor residual calculations, because its solution is like the password to open a safe, you can say how tired you are with the method of finding, and the modulus m it says is written after finding out by other methods (it is a more reliable method to calculate the m value with a large derivation). Because this example is too simple and a coincidental guess, my solution is:

Divide by 3 and divide by 7 are both the same as 2, then 3*7+2=23

And 23 divided by 5 is exactly 3, so the answer is 23, (all the answers are 23 105n), to solve all the remaining calculation problems, the only way to solve the problem is to use the "residual calculation dust carrying formula", this formula is not official, you can't find it on the Internet.

Sun Tzu's theorem is an ancient Chinese method for solving a congruence group (see congruence). It is an important theorem in number theory. It is also known as the Chinese remainder theorem.

The problem of the system of univariate linear congruence equations can be first seen in the twenty-sixth problem of the mathematical work "Sun Tzu's Sutra" during the Northern and Southern Dynasties in China (5th century AD), called the problem of "things do not know the number", the original text is as follows:

There are things that do not know the number, the remaining two of the three or three numbers, the remaining three of the five or five numbers, and the remaining two of the seven or seven numbers. Ask about the geometry of things? That is, divide an integer by three and two, divide by five and three, divide by seven and two, and find this integer.

Sun Tzu's arithmetic book first mentions the problem of congruence equations and the solution of the above specific problems, so the Chinese remainder theorem will also be called Sun Tzu's theorem in Chinese mathematical literature.

I think if you want to humiliate others so much in American dramas, you can use it; hey,son

If the lines say so, we should not translate hey, son into Chinese as: hey, son; Rather, it translates directly to hey, grandson.

This grandson in Chinese can be expressed in English as cheap.

you are so cheap.

To illustrate it in the language of modern mathematics, the Chinese remainder theorem gives the following system of unary linear congruence equations:

The judgment condition of the solution, and the specific form of the solution in the case of the solution is given by the construction method.

Explanation of the Chinese remainder theorem: assume the integers m1, m2,mn is coprime in pairs, then for any integer: a1, a2, .,an, the system of equations has a solution, and the general solution can be constructed in the following way:

Let be integers m1, m2, .,The product of mn, and let be the product of n- 1 integers other than mi.

Let be the reciprocal of the number theory of modulo :

The general solution of the system of equations is in the sense that there is only one solution of the system of equations:

There is a question in the important mathematical work "Sun Tzu's Sutra" in ancient China: "There are things today that do not know their number, the remaining two of the three or three numbers, the remaining three of the five or five numbers, and the remaining two of the seven and seven numbers. He replied

Twenty-three. This passage translated into the vernacular is: "There is a bunch of things that I don't know how many there are, if three three counts, there are two left, if five five counts, there are three left, if seven seven counts there are two left."

Q: How much is this pile? The answer is twenty-three. The solution to this problem is called "Sun Tzu's theorem", and it is called "China's residual theorem" abroad.

The solution to this problem was written by Cheng Dawei in the Ming Dynasty into a poem: "Three people walk together seventy rare, five plum blossoms twenty-one branches, seven sons are reunited for half a month, except for one hundred and five." There are four numbers implicit in this poem, and as long as you keep these four numbers in mind, you can easily answer this question.

This wonderful algorithm is described in detail in the "Sun Tzu Sutra": for every 3 counts the last remaining 1, take 1 70, and the last remaining 2 will take 2 70; For every 5 counts, if there is 1 remaining 1, take 1 21, and if there is 2 remaining, take 2 21; For every 7 counts, the last 1 is taken 15, and the remaining 2 is 2 15. Add up these numbers, and if the number is greater than 105, subtract 105 and the resulting two sets of numbers are the smallest and second smallest of many answers.

For example, the above question is to take 2 70s, take 3 21s, and take 2 15s. Since 2 70 3 21 2 15 233 is greater than 105, subtract 105 and subtract 105 to get 23. In just a few steps, this problem was solved, which can be described as magical.