In order to be able study cosmic phenomena more accurately and broadly, it was necessary expand the concept of calculus. this study, we aim introduce a new fractional Hermite–Hadamard–Mercer’s inequality its integral type inequalities. To facilitate that, use proportional operators integrable functions with respect another continuous strictly increasing function. Moreover, establish some weight...

In this thesis, theory and applications of machine learning systems based on information theoretic criteria as performance measures are studied. A new clustering algorithm based on maximizing the Cauchy-Schwarz (CS) divergence measure between probability density functions (pdfs) is proposed. The CS divergence is estimated non-parametrically using the Parzen window technique for density estimati...

In a 1991 paper, R. Mercer asserted that a Cartan bimodule isomorphism between Cartan bimodule algebras A1 and A2 extends uniquely to a normal ∗-isomorphism of the von Neumann algebras generated by A1 and A2 (Corollary 4.3 of Mercer, 1991). Mercer’s argument relied upon the Spectral Theorem for Bimodules of Muhly, Saito and Solel, 1988 (Theorem 2.5, there). Unfortunately, the arguments in the l...

ÐThis paper investigates reduced ordered binary decision diagrams (OBDD) of partially symmetric Boolean functions when using variable orders where symmetric variables are adjacent. We prove upper bounds for the size of such symmetry ordered OBDDs (SymOBDD). They generalize the upper bounds for the size of OBDDs of totally symmetric Boolean functions and nonsymmetric Boolean functions proven by ...

Dwight J. Rouse, M.D., Deborah G. Hirtz, M.D., Elizabeth Thom, Ph.D., Michael W. Varner, M.D., Catherine Y. Spong, M.D., Brian M. Mercer, M.D., Jay D. Iams, M.D., Ronald J. Wapner, M.D., Yoram Sorokin, M.D., James M. Alexander, M.D., Margaret Harper, M.D., John M. Thorp, Jr., M.D., Susan M. Ramin, M.D., Fergal D. Malone, M.D., Marshall Carpenter, M.D., Menachem Miodovnik, M.D., Atef Moawad, M.D...

| This review provides an introduction to Support Vector Machines, Kernel Fisher Discriminant analysis and Kernel PCA, as examples for successful kernel based learning methods. We rst give a short background about VC theory and kernel feature spaces and then proceed to kernel based learning in supervised and unsupervised scenarios including practical and algorithmic considerations. We illustrat...

J. Jänecke, 1 T. Annakkage, 1,* G. P. A. Berg, 2 B. A. Brown, 3 J. A. Brown, 3 G. Crawley, 3 S. Danczyk, 3,† M. Fujiwara, 4 D. J. Mercer, 3,‡ K. Pham, 1 D. A. Roberts, 1 J. Stasko, 3,§ J. S. Winfield, 3,i and G. H. Yoo 3,¶ Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1120 Indiana University Cyclotron Facility, Bloomington, Indiana 47408 3 National Superconducting Cyc...

doi: 10.3969/j.issn.1002-0829.2012.05.008 Center for Anxiety and Depression, Mercer Island, Washington, USA Department of Psychiatry and Behavioral Sciences, University of Washington, Seattle, USA *correspondence: [email protected] There will likely be a day sometime in the future that psychiatric diagnoses will be made by laboratory tests, as is already the case for many diagnoses in intern...

The flagship initiative ‘Youth on the Move’, which is part of the European Union’s Europe 2020 Strategy, emphasizes the importance of creativity and innovation for Europe’s competitiveness and preservation of current standards of living. In this context, all young people must have the opportunity to develop their talents to the fullest possible extent. Early Childhood Education and Care (ECEC) ...