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Who discover remainder theorem?
The theorem has its origin in the work of the 3rd-century-ad Chinese mathematician Sun Zi, although the complete theorem was first given in 1247 by Qin Jiushao. The Chinese remainder theorem addresses the following type of problem.
How do you teach the remainder theorem?
That is, when you divide by “x – a”, your remainder will just be some number. The Remainder Theorem then points out the connection between division and multiplication. For instance, since 12 ÷ 3 = 4, then 4 × 3 = 12. If you get a remainder, you do the multiplication and then add the remainder back in.
Is Sun Tzu a mathematician?
Sun Tzu or Sun Zi was a Chinese mathematician of the third century CE. His interests were in astronomy. He is best known for authoring Sun Tzu Suan Ching (pinyin: Sun Zi Suan Jing; literally, “Sun Tzu’s Calculation Classic”), which contains the Chinese remainder theorem.
How does the Chinese Remainder Theorem work?
The Chinese remainder theorem is a theorem of number theory, which states that if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the remainder of the division of n by the product of these integers, under the condition that the divisors are pairwise coprime.
How do you calculate remainder?
How to calculate the remainder Begin with writing down your problem. Decide on which of the numbers is the dividend, and which is the divisor. Perform the division – you can use any calculator you want. Round this number down. Multiply the number you obtained in the previous step by the divisor.
Who invented the Chineses remainder theorem?
Chinese remainder theorem , ancient theorem that gives the conditions necessary for multiple equations to have a simultaneous integer solution. The theorem has its origin in the work of the 3rd-century-ad Chinese mathematician Sun Zi , although the complete theorem was first given in 1247 by Qin Jiushao . The Chinese remainder theorem addresses the following type of problem.
What is the history of the name “Chinese Remainder Theorem”?
Some time in the first century AD a Chinese mathematician by the name of Sun Zi published a book, Sun Zi Suanjing, or “The Arithmetical Classic of Sun Zi”. In this book Sun Zi introduced a method of solving systems of linear congruences that became known as the Chinese Remainder Theorem.