Two-loop HQET propagator diagrams were reduced [1] to two master integrals, using integration by parts [2] identities. There are 10 generic topologies of three-loop HQET propagator diagrams (Fig. 1). They can be reduced [3], using integration by parts relations, to 8 master integrals (Fig. 2). The algorithm has been constructed by hand, and implemented as a REDUCE package Grinder [3]. It is ana...

The classical term by term integration technique used for obtaining asymptotic expansions of integrals requires the integrand to have an uniform asymptotic expansion in the integration variable. A modification of this method is presented in which the uniformity requirement is substituted by a much weaker condition. As we show in some examples, the relaxation of the uniformity condition provides...

This study deals with uncertainty and attention in audiovisual speech perception. Subjects were exposed to audiovisual stimuli where independent variable was bivalent: either blocked to one ear or uncertainty about in which ear the next stimulus would appear. The hypothesis, that uncertainty would inhibit audiovisual integration was motivated by an earlier study (Öhrström et al, 2011) but these...

the aim of this study is prospecting of iron and manganese in the balvard 1:100000 sheet which is situated in sanandaj - sirjan structural zone utilizing index overlay and fuzzy logic methods in the gis. in this study, the layers for integration, alterations, geological, geophysical, geochemical and structural data based on stream sediments, airborne magnetometeric and remote sensing studies. b...