## MATHEMATICAL NEURAL NETWORKS(I)──INTERPOLATION MECHANISM OF MATHEMATICAL NEURAL NETWORKS

**Li Hongxing(Department of Mathematics,Beijing Normal University, 100875,Beijing,PRC)**

The concepts of mathematical neurons and mathematical neural networks are firstly proposed and the interpolation mechanism of mathematical neural networks is discussed.And a kind of three layers forward mathematical neural networks with single input and single outp ut and four layers forward mathematical neural networks with double inputs and single output is designed,which can respectively approximate a given one-variable continuous function and a given two-variable continuous function satisfying given precision.

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