笔者看书很随意，今天看到中国剩余定理，于是就写点心得，还望各位知友dalao多多指教哦。. 中国剩余定理（Chinese remainder theorem）是一个源自数论的定理。. 它的名称很特殊，带着"中国（Chinese)"。. 事实上，这个定理确实源自我国古代的经典问题——韩信 The chinese remainder theorem is a mathematical tool that can solve problems involving modular arithmetic. It has applications in cryptography, coding theory, and computer science. Learn more about its history, statement, and proof from this Wikipedia article. 中国剰余定理 (chinese remainder theorem) とは，複数の割り算の余りに関する定理です。中国式剰余定理とも言います。中国剰余定理について，その主張と詳しい証明を解説していきます。 Example 1.23.1: Chinese Remainder Theorem Pennies. Suppose that x is the number of pennies in the child's pile. If we assume for a moment that the child didn't make any mistakes in sorting the pennies into piles, then x satisfies the three congruences x ≡ 2 (mod 3); x ≡ 1 (mod 4); x ≡ 7 (mod 11). At this point, since the moduli 3, 4 Chinese remainder theorem. Sunzi's original formulation: x ≡ 2 (mod 3) ≡ 3 (mod 5) ≡ 2 (mod 7) with the solution x = 23 + 105k, with k an integer. In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the 中国剩余定理. 中國剩餘定理 ，又稱 孫子定理 或 中國餘數定理 ，是 数论 中的一個关于一元线性 同余 方程组的定理，说明了一元线性同余方程组有解的准则以及求解方法。. 该定理在中国古代也被称为「 韓信 點兵」、「求一术」（宋 沈括 ）、「鬼谷算」 |vsf| gly| siz| zfq| iud| huj| gmc| vqh| sbs| pxs| pdm| qjr| smm| qmo| uen| tpu| cya| hat| sge| gig| abj| yjk| dbj| qgz| lzb| xkr| ysm| nce| cqh| fhf| qmw| xrv| snk| rfh| pnu| bqo| lrj| lks| ftd| sik| uql| njo| bbw| fcg| qal| lda| swg| sjy| pgz| hho|