In this paper, we present the initial findings about a possible geometric interpretation of the BM25 model and a comparison of the BM25 with the Binary Independence Model (BIM) on a two-dimensional space. A Web application was developed in R to show an example of this geometric view on a standard TREC collection. The application is accessible at the following link: http://gmdn.shinyapps.io/shin...

This review describes the technique of and advances in determination of left ventricular mass by two-dimensional echocardiography. Two-dimensional echocardiographic model systems, which require geometric assumptions, may have limited accuracy in mass determination if ventricular shape is deformed or the architecture is irregular, as it may be in various disease states. Recently developed techni...

In this paper, an exact geometric algorithm is presented for solving two-job sequencing and scheduling problems in flexible flow shop and job shop environments while the resources are (un)available in some time periods and processors (un)availability is the same in all work centers. This study seems utterly new and it is applicable to any performance measure based on the completion time. The in...

the ability to perform rolling contact fatigue (rcf) experiments in wheel–rail material is provided by a new small–scale test rig, manifesting the actual dynamic behaviour of the railway system. in this paper, a multi-body dynamics (mbd) model is proposed, simulating the vibration behaviour of the prescribed rig. the new testing facility is modelled using a three-dimensional model of the vehicl...

Computations of 3D Euclidean geometry can be performed using various computational models of different effectiveness. In this paper we compare five alternatives: 3D linear algebra, 3D geometric algebra, a mix of 4D homogeneous coordinates and Plücker coordinates, a 4D homogeneous model using geometric algebra, and the 5D conformal model using geometric algebra. Higher dimensional models and mod...

In this paper, we present a framework to simulate biological cellular processes involving a strong topological and geometric structuration. Our framework is based on topology-based geometric modelling. The edge labels of a graph sub-class, the n-dimensional generalized maps, model the neighbouring relations between biological compartments. Thus, membranes become topological objects of the n-dim...

In this study, two-dimensional finite element modeling was used to study the simultaneous effect of the cell shape and regular cell distribution on the anisotropy of the elastic properties of 316L stainless steel foam. In this way, the uniaxial compressive stress-strain curve was predicted using a geometric model and fully solid 316L stainless steel. The results showed that the elastic tangent ...

Abstract:   A two-dimensional fully implicit finite difference model, which can be easily extended to three dimensions, is developed to study the effect of cut-off walls on saltwater intrusion into the aquifers. This model consists of a coupled system of two nonlinear partial differential equations which describe unsteady density-driven groundwater flow and solute transport. The numerica...

The ability to perform rolling contact fatigue (RCF) experiments in wheel–rail material is provided by a new small–scale test rig, manifesting the actual dynamic behaviour of the railway system. In this paper, a multi-body dynamics (MBD) model is proposed, simulating the vibration behaviour of the prescribed rig. The new testing facility is modelled using a three-dimensional model of the vehicl...