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...

Discovering trend reversals between two data cubes provides users with a novel and interesting knowledge when the real world context fluctuates: What is new? Which trends appear or emerge? Which tendencies are immersing or disappear? With the concept of Emerging Cube, we capture such trend reversals by enforcing an emergence constraint. We resume the classical borders for the Emerging Cube and ...

Due to its topological generality and flexibility, the k-ary n-cube architecture has been actively researched for various applications. However, the processor allocation problem has not been adequately addressed for the k-ary n-cube architecture, even though it has been studied extensively for hypercubes and meshes. The earlier k-ary n-cube allocation schemes based on conventional slice partiti...

In this paper we consider a number of sequence and function spaces that are known to be homeomorphic to the countable product of the linear space σ. The spaces we are interested in have a canonical imbedding in both a topological Hilbert space and a Hilbert cube. It turns out that when we consider these spaces as subsets of a Hilbert cube then there is only one topological type. For imbeddings ...

For each positive integer n, a o-Z-set B„ in the Hilbert cube 7°° is constructed whose complement s„ = Ix — B„ is not homeomorphic to the pseudointerior j of the Hilbert cube though sn and B„ satisfy: (i) every compact subset of s„ is a Z-set in s„; (ii) s„ X s„ is homeomorphic to s; (iii) Bn admits small maps 7°° -» B„; (iv) s„ satisfies the discrete «-cells property; and (v) Bn is locally (n ...

This paper is concerned with parameterized families of approximate fibrations from a compact Hilbert cube manifold M to a compact polyhedron B. The main result shows how to straighten out certain of these families to be nearly like a product. As an application of this technique, it is shown that an approximate fibration p:M +B can be approximated arbitrarily closely by bundle maps if and only i...

In various approaches, data cubes are pre-computed in order to answer e ciently Olap queries. Such cubes are also successfully used for multidimensional analysis of data streams. The notion of data cube has been declined in various ways : iceberg cubes, range cubes or di erential cubes. In this paper, we introduce the concept of convex cube which captures all the tuples of a datacube satisfying...

Imaginary cubes are three-dimensional objects that have square projections in three orthogonal ways, just like a cube has. In this paper, we introduce higherdimensional extensions of imaginary cubes and study their properties.

Turbulent flow over wall-mounted cube in a channel was investigated numerically using Large Eddy Simulation. The Selective Structure Function model was used to determine eddy viscosity that appeared in the subgrid scale stress terms in momentum equations. Studies were carried out for the flows with Reynolds number ranging from 1000 to 40000. To evaluate the computational results, data was compa...

In 1964, R. D. Anderson announced [ l ] that the product of a countably infinite collection of dendra is a Hilbert cube (a dendron being a nondegenerate, uniquely arcwise connected, Peano continuum). He and R. H. Bing conjectured in [4] that a countably infinite product of compact contractible complexes is a Hilbert cube. The purpose of this note is to announce the following theorems which affi...