朱世杰恒等式及其应用

本文先引出朱世杰恒等式，并用裂项相消法严格证明了，然后论述了求前n个自然数的和、平方和、立方和，再求几个连续自然数的积之和，求特殊自然数列奇次幂（偶次幂）的和，还用它来解高考题或推广的高考题．最后用证它的类似方法来证教材中的一道难题．

超大组合数的计算机实现技术及其在密码学中的应用

本文在论述大数生成的理论价值及应用意义的基础上,着重论述了大组合数的产生算法及其计算机实现技术,并给出了笔者研制出的体现该算法的3280MPS计算机软件所得到的部分印证数据,介绍了组合数在素性检测中的若干应用。

Reconstruction of protoliths of metamorphic rocks and tectonic setting of Wolegen Group

Parametamorphic rocks from Arong County in southeastern Inner Mongolia- Daxinganling district are regarded as Proterozoic in age, belonging to the Wolegen Group and composed of volcanoclastic and sand- stone in origin, and have been disputed in tectonic setting. Because of the stability in metamorphism, the rare earth elements indicate the features of their protoliths. The authors integrated the petrologic methods with the geochemical parameters which include ЕREE, ЕLREE/NHREE, δCe, δEu, La/Yb, Sm/Nd, Th/Sc and the standard values of chondrite. The results show that the protoliths of Wolengen Group may be a group of volcanoclastic and continental margin clastic rocks, and their tectonic setting is the continent island arc.