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, an object originally having n features is now represented by 3n variables) This type of representation is quite versatile in representing a wide class of data: for example, linguistic, set form, and numeric [12,13] In terms of their attributes, discernibility of the fuzzi ed objects is then computed in the form of a discernibility matrix Using rough set theory, a number of decision rules are generated from the discernibility matrix The rules represent rough clusters of points in the original feature space The fuzzy membership functions, corresponding to the region modeled by a rule, are then stored as a case A strength factor representing the a priori probability (size) of the cluster is associated with each case To summarize, each case contains fuzzy linguistic sets (parameters of the membership functions) corresponding to the attributes appearing in the reducts, and the strength factor.

Potentiometry and potentiometric titrations are widely used in studying various types of reactions and equilibria in non-aqueous systems (Sections 6.3.1 6.3.4). They also provide a convenient method of solvent characterization (Section 6.3.5). Moreover, if the electrode potentials in different solvents can accurately be compared, potentiometry is a powerful method of studying ion solvation (Section 6.3.6).

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These putative obesity loci have been found on all human chromosomes except the Y chromosome Despite the number of putative obesity loci there are as yet no common obesity susceptibility genes Identi cation of the true obesity loci and the causative genetic variants is a formidable task Genetic studies in monogenic and polygenic animal models of obesity have provided valuable insight into fundamental pathways regulating appetite and energy expenditure The number of mouse obesity genes and QTL will continue to increase over the coming years, and this will aid in the identi cation of new pathways involved in energy homeostasis, additional components of already identi ed pathways and guide candidate gene analyses in human studies A fundamental aw in current research strategies can in part explain the lack of success in identifying susceptibility genes for these disorders.

In the retrieval phase, these fuzzy membership functions are used to compute the similarity of stored cases with an unknown pattern It may be noted that unlike most case selection schemes, the cases generated by this algorithm need not include any of the actual objects encountered; rather, they represent regions that are either in the original feature space or else in a reduced space More important, cases are represented by subsets of features (attributes) that are of different sizes This type of variable and reduced length representation of cases will decrease the retrieval time Furthermore, since this algorithm deals only with the information granules, not the actual data set, its signi cance in data mining applications is evident The effectiveness of this methodology is demonstrated on some real-life data sets, including those that have large dimension and size Cases are evaluated in.

DMF 11(28) 0.04 0.017 0.05 0.0052

Current approaches investigate the relationship between a variant in a single gene and a phenotype/disease without controlling for gene gene interactions and/or environmental factors, neither of which have been clearly de ned (Sorensen & Echwald, 2001) Some genetic variants may only show an effect in combination with other gene variants or environmental factors Polygenic animal models offer the opportunity to explore gene gene interactions and gene environment interactions Another problem is that the sample sizes needed to detect genes of truly small effects are unrealistically large for an individual researcher to collect (Comuzzie & Allison, 1998) More powerful approaches of detecting genes of small effect are being developed, such as whole-genome association studies (Kruglyak, 1999).

The dynamic bandwidth report upstream (DBRu), shown at Figure 2.11d, one for each T-Cont, containing the dynamic bandwidth allocation eld, protected by its own adjacent cyclic redundancy check. This eld may be optionally used to report to the OLT how many T-Conts are waiting in the buffer. The payload, as shown at Figure 2.11e for the GEM case, not the ATM cell case, consisting of a sequence of GEM headers plus fragments of the userlevel frames. The GEM header (Fig. 2.11f ) consists of the payload indicator (PLI), giving the number of bytes of the fragment to follow, the port ID, stating which of the 4096 ports on the network sent the traf c, the payload-type identi er (PTI), telling the OLT something about local congestion, the header error correction (HEC) eld, providing error detection and correction of the GEM header, and nally (!) the payload frame fragment.

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