Data structure and semantics of the traditional data model cannot effectively represent the data warehouse, it is difficult to effectively support online analytical processing （referred to as OLAP）. This paper is pr...Data structure and semantics of the traditional data model cannot effectively represent the data warehouse, it is difficult to effectively support online analytical processing （referred to as OLAP）. This paper is propose a new multidimensional data model based on the partial ordering and mapping. The data model can fully express the complex data structure and semantics of data warehouse, and provide an OLAP operation as the core of the operation of algebra, support structure in levels of complex aggregation operation sequence, which can effectively support the application of OLAE The data model supports the concept of aggregation function constraint, and provides constraint mechanism of the hierarchy aggregation function.展开更多
By means of the functionally complete operators of non-conjunction and non disjunction this article proves a proposition that there are only 56 3 ary operators. Then it puts forward concepts of negation definable oper...By means of the functionally complete operators of non-conjunction and non disjunction this article proves a proposition that there are only 56 3 ary operators. Then it puts forward concepts of negation definable operator and “Car” form operator. Based on this it proves by using complete disjunctive normsand complete conjunctive norms that all n ary negation definable operators except “Car” form operators are functionally complete. In the end, it concludes that there are only 2 2 n -2 -2 2 n-1 -1 functionally complete n ary operators.展开更多
We study further the method of concatenating the outputs of two functions for designing an APN or a differentially 4-uniform (n, n)-function for every even n. We deduce several specific constructions of APN or differe...We study further the method of concatenating the outputs of two functions for designing an APN or a differentially 4-uniform (n, n)-function for every even n. We deduce several specific constructions of APN or differentially 4-uniform (n, n)-functions from APN and differentially 4-uniform (n/2, n/2)-functions. We also give a construction of quadratic APN functions which includes as particular cases a previous construction by the author and a more recent construction by Pott and Zhou.展开更多
文摘Data structure and semantics of the traditional data model cannot effectively represent the data warehouse, it is difficult to effectively support online analytical processing （referred to as OLAP）. This paper is propose a new multidimensional data model based on the partial ordering and mapping. The data model can fully express the complex data structure and semantics of data warehouse, and provide an OLAP operation as the core of the operation of algebra, support structure in levels of complex aggregation operation sequence, which can effectively support the application of OLAE The data model supports the concept of aggregation function constraint, and provides constraint mechanism of the hierarchy aggregation function.
文摘By means of the functionally complete operators of non-conjunction and non disjunction this article proves a proposition that there are only 56 3 ary operators. Then it puts forward concepts of negation definable operator and “Car” form operator. Based on this it proves by using complete disjunctive normsand complete conjunctive norms that all n ary negation definable operators except “Car” form operators are functionally complete. In the end, it concludes that there are only 2 2 n -2 -2 2 n-1 -1 functionally complete n ary operators.
文摘We study further the method of concatenating the outputs of two functions for designing an APN or a differentially 4-uniform (n, n)-function for every even n. We deduce several specific constructions of APN or differentially 4-uniform (n, n)-functions from APN and differentially 4-uniform (n/2, n/2)-functions. We also give a construction of quadratic APN functions which includes as particular cases a previous construction by the author and a more recent construction by Pott and Zhou.
