Fix an element x of a finite partially ordered set P on n elements. Then let hi(x) be the number of linear extensions of P in which x is in position i, counting from the bottom. T...
In the article, the noted Darboux's formula of functions with single variable is generalized to that of functions of two independent variables with integral remainder, some im...
Implementations of map-reduce are being used to perform many operations on very large data. We examine strategies for joining several relations in the map-reduce environment. Our ...