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1·This paper presents an existent and constructive proof of image fractal compression mappings and application in fractal image coding.

给出了图象分形压缩映射存在性的一个构造性证明，并应用在图象编码中。

2·This paper gives a constructive proof of existence of period of polynomials infinite field. Using it we can also find the period of polynomials.

本文给出有限域上多项式周期存在的构造性证明，利用它可求出多项式的周期。

3·A sufficient condition that the complementarity problem has solution is given in this paper, the proof of existence is constructive.

本文给出互补问题解的存在性的一个充分条件，其证明是构造性的。

4·The conclusion given is practical and the proof is constructive.

所给结论是实用的，证明是构造性的。