Formal concept analysis (FCA) with measures can be seen as a framework for Business Intelligence technologies. In this paper we introduce new ideas about an OLAP cube. We take a focus on a highdimensional OLAP cube reduction and on a hierarchy of attributes in an OLAP cube.

A complete data cube is a data cube. in which every aggregate value in the multidimensional space is stored or can be computed. An incomplete data cube is a data cube in which points in the multidimensional space are missing and’cannot be computed. This paper describes an incomplete data cube design. An incomplete data cube is modeled as a federation of cubettes. A cubette is a complete subcube...

A k-abelian cube is a word uvw, where u, v, w have the same factors of length at most k with the same multiplicities. Previously it has been known that k-abelian cubes are avoidable over a binary alphabet for k ≥ 5. Here it is proved that this holds for k ≥ 3.

Imaginary cubes are three dimensional objects which have square silhouette projections in three orthogonal ways just as a cube has. In this paper, we study imaginary cubes and present assembly puzzles based on them. We show that there are 16 equivalence classes of minimal convex imaginary cubes, among whose representatives are a hexagonal bipyramid imaginary cube and a triangular antiprism imag...

A new methodology named CALMANT (CC-cube Algorithms on Meshes and Tori) for mapping a kind of algorithms that we call CC-cube algorithm onto multicomputers with hypercube, mesh, or torus interconnection topology is proposed. This methodology is suitable when the initial problem can be expressed as a set of processes that communicate through a hypercube topology (a CC-cube algorithm). There are ...

Data cube queries containing aggregate functions often combine multiple tables through join operations. We can extend this to “Multi-Join Expansion_Aggregate” data cube queries by using more than one aggregate functions in “SELECT” statement in conjunction with relational operators. In parallel processing for such queries, it must be decided which attribute to use as a partitioning attribute, i...

CUBE is a generic presentation component suitable for displaying a wide variety of performance metrics for parallel programs including MPI and OpenMP applications. Program performance is represented in a multi-dimensional space including various program and system resources. The tool allows the interactive exploration of this space in a scalable fashion and browsing the different kinds of perfo...

“Suppose a man born blind, and now adult, and taught by his touch to distinguish between a Cube, and a Sphere of the same metal, and nighly of the same bigness, so as to tell, when he felt one and t’other, which is the Cube, which the Sphere. Suppose then the Cube and Sphere placed on a Table, and the Blind Man to be made to see. Quære, whether by his sight, before he touched them, he could now...

Families of non-lattice tilings of R n by unit cubes are constructed. These tilings are specializations of certain families of nonlinear codes over GF( 2 ). These cube-tilings provide building blocks for the construction of cube-tilings such that no two cubes have a high-dimensional face in common. We construct cube-tilings of R n such that no two cubes have a common face of dimension exceeding...