Discretization error occurs during the approximate numerical solution of differential equations. Of the various sources of numerical error, discretization error is generally the largest and usually the most difficult to estimate. The goal of this paper is to review the different approaches for estimating discretization error and to present a general framework for their classification. The first...

Abstract: This paper presents the results of experimental determination of fiber bed permeability variation with porosity. Flow measurement experiments were designed to measure fiber mat permeability for fiber beds with various fiber volume fractions. Woven fiberglass, chopped fiberglass, and carbon fiber mats were used as reinforcements. The effects of reinforcement type and porosity on fiber ...

background and aims. the aim was to evaluate the effect of three methods of fiber insertion on fracture resistance of root-filled maxillary premolars in vitro. materials and methods. sixty extracted human maxillary premolars received endodontic treatment followed by preparation of mesioocclusodistal (mod) cavities, with gingival cavosurface margin 1.5 mm coronal to the cementoenamel junction (c...

an experiment was carried out to develop and evaluate a semi-purified diet suitable for fiber related studies without negative impacts on performance, serum biochemistry and intestinal morphology of growing japanese quails. total of 144 japanese quail chicks were used in a factorial arrangement using completely randomized design with 6 treatments, 4 replicates of 6 quails in each replicate. the...

Most failures develop as a result of lack resistivity information at the internal structure level during typical loading situations such shock load and impact load. Impact loads have significant on component’s structural performance. A careful, organized examination settings their side effects can reveal how well something withstand peak loads. First, this study investigated analyses nine varie...

Irregularities are inherent to virtually all fibers, including the conventional textile fibers, the high-performance brittle fibers and newly developed nano-fibers. These irregularities can fall into two main categories: dimensional or geometrical irregularity (external) and structural irregularity (internal). For natural fibers such as wool, diameter variation along fiber length is atypical ex...

Problem statement: Handling numerical data stored in a relational database has been performed differently from handling those numerical data stored in a single table due to the multiple occurrences (one-to-many association) of an individual record in the non-target table and non-determinate relations between tables. Numbers in Multi-Relational Data Mining (MRDM) were often discretized, after co...

Many data mining algorithms require as a pre-processing step the discretization of real-valued data. In this paper we review some discretization methods based on clustering. We describe in detail the algorithms of discretization of a continuos real-valued attribute using the hierarchical graph clustering methods.

We describe an algorithm called TargetCluster for the discretization of continuous targets in subgroup discovery. The algorithm identifies patterns in the target data and uses them to select the discretization cutpoints. The algorithm has been implemented in a subgroup discovery method. Tests show that the discretization method likely leads to improved insight.