神经网络余／十转换的数学原理

本文提出了孙子定理的微分方程求解法，讨论了系数为求余算子的非线性微分方程的稳定平衡点和最佳解的误差。本文构造的非线性微分方程可以唯一地收敛于孙子定理的解，其误差可任意小。该微分方程可用人工神经网络实时计算，实现余／十转换。计算机模拟结果证实了本文理论的正确性。

Mathematical Principle of Residue-tO-Decimal Conversion by Neural Network

A method to get the solution of the Chinese Remainder Theorem by solving a differential equation is proposed. Stable equillibrium points and error of the optimal solution of the nonlinear differential equation with residue reduction operation coefficients are discussed. The nonlinear differential equation formulated in this paper can converge to the solution of the Chinese Remainder Theorem with arbitrarily small error.The differential equation can be solved in real-time by means of artifitial neural networks. This network can be used to realize residue-to-decimal conversion. The results of our computer simulation demonstrate that the proposed theory is reasonable.