N维阵研究及其地学应用  

Study of N-dimensional Matrices and Its Application in Geology

作　　者：申维[1] 

机构地区：[1]中国地质大学(北京)地质过程与矿产资源国家重点实验室,北京100083

出　　处：《地球科学与环境学报》2014年第2期33-37,共5页Journal of Earth Sciences and Environment

基　　金：国家自然科学基金项目(41172302;40672196)

摘　　要：提出了N维阵的概念和常用的几种定义和运算,包括N维阵的加减、方括号乘法和Hadamard积,给出了其性质及相应的说明;指出立体阵是N维阵的一个特例。N维阵方法的优势在于对多维数据表示更加简洁,理论分析较方便。最后,通过江绍拼合带中西段Cu-Zn-Ab-Ag-SnAs元素组合异常研究和浙西地区铜多金属矿成矿预测,说明了N维阵在实际问题应用中的方法及步骤。N维阵在处理地学多维数据方面有着重要的应用前景。A new basic concept of N-dimensional matrices was presented by the cubic matrices conception.The definition and arithmetic（including add-subtract,bracket multiplication and Hadamard product）of N-dimensional matrices were studied and proved.The cubic matrices was a special case of Ndimensional matrices.The multi-dimensional data were expressed more brief and facility in theoretical analysis by the method of N-dimensional matrices.The geological examples,which included the research on Cu-Zn-Ab-Ag-Sn-As element combination anomalies in the middle-west of Jiangshan-Shaoxing matching belt and the metallogenic prediction of copper polymetallic ore in the western of Zhejiang,were given to illustrate the method and procedure of N-dimensional matrices in geological application.The method of N-dimensional matrices is considered as a good tool in exploration and forecast.

关 键 词：数学地质 N维阵 方括号乘法 HADAMARD积 立体阵 元素组合 成矿预测 

分 类 号：P628[天文地球—地质矿产勘探] O189.12[天文地球—地质学]