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Öğe TRANSLATION, MODULATION AND DILATION SYSTEMS IN SET-VALUED SIGNAL PROCESSING(Vasyl Stefanyk Precarpathian Natl Univ, 2018) Levent, H.; Yilmaz, Y.In this paper, we investigate a very important function space consists of set-valued functions defined on the set of real numbers with values on the space of all compact-convex subsets of complex numbers for which the pth power of their norm is integrable. In general, this space is denoted by L-p (R, Omega(C)) for 1 <= p < infinity and it has an algebraic structure named as a quasilinear space which is a generalization of a classical linear space. Further, we introduce an inner-product (set-valued inner product) on L-2 (R, Omega(C)) and we think it is especially important to manage interval-valued data and interval-based signal processing. This also can be used in imprecise expectations. The definition of inner-product on L-2 (R, Omega(C)) is based on Aumann integral which is ready for use integration of set-valued functions and we show that the space L-2 (R, Omega(C)) is a Hilbert quasilinear space. Finally, we give translation, modulation and dilation operators which are three fundational set-valued operators on Hilbert quasilinear space L-2 (R, Omega(C)).Öğe A Two-Year Clinical Evaluation of Glass Ionomer and Ormocer Based Fissure Sealants(Journal Pedodontics Inc, 2013) Guler, C.; Yilmaz, Y.The objective of the present study provides further data comparing retention, marginal integrity and caries preventive effects of two fissure sealants (glass ionomer based; GC Fuji VII Capsule [Fuji VIP and ormocer based; Admira Seal [AS]) in children. This study was designed as a randomized single-blind clinical trial. The permanent first molars (PFMs) of 50 children, 7-13 years of age (mean age: 8.9 +/- 1.3 years), were sealed with a split-mouth design. Fissure sealants applied to the PFMs according to the manufacturer's recommendations by one pediatric dentist. Clinical evaluation of the sealants was carried out to record retention, marginal integrity and presence of caries at 6, 12, 18 and 24 months after placement by the other pediatric dentist. Kaplan-Meier survival analysis and Cox's regression models were used to estimate the probability of two sealants success. Results: Alpha and Bravo retention rates at the end of follow-up were 13% and 80% for Fuji VII and 3% and 83% for AS, respectively. For retention and marginal integrity between fissure sealants was found similar survival rates (p > 0.05). After 24 months, presence of caries was 16% for Fuji VII and 32% for AS (p < 0.05). Conclusion: Fuji VII and AS exhibited similar retention and marginal integrity during 24 months. However, Fuji VII was showed better results than AS for caries preventive effect. Consequently, Fuji VII sealants may be a better choice for preventing occlusal caries.