针对统计与科学数据库的应用要求,本文以语义数据模型MICSUM2为基础,以C—关系、原子统计表和复合统计表为操作对象,定义了统计与科学数据库上的操作。这些操作构成了C—关系、原子统计表和统计表集合上的代数,简称MS代数。MS代数从两个方面扩展了关系代数,一是MS代数操作具有更丰富的语义和更广泛的操作对象;二是MS代数包括很多支持统计分析查询的新代数操作,MS代数是构造对用户友好的统计与科学数据库查询语言的理论基础。

According to the requirement of the statistical and scientific database applications, the operators on the databases are defined in the paper. The operators are based on the semantic data model MICSUM[3] and form the algebra on the set of C-relations, atomic summary tables and compound summary tables which are the basic operation objects in MIC-SUM[3]. The algebra called MS algebra. The MS algebra extends the relational algebra with extended operation semantics, the extended set of operation objects and new algebraic opera-tors that support the statistical analysis queries.MS algebra is a theoretical framework for statistical and scientific database query languages.