Fix a prime number l. In this paper we prove l-adic versions of two related conjectures of Deligne, [4, 8.2, p. 163] and [4, 8.9.5, p. 168], concerning mixed Tate motives over the punctured spectrum of the ring of integers of a number field. We also prove a conjecture [11, p. 300], which Ihara attributes to Deligne, about the action of the absolute Galois group on the pro-l completion of the fu...

In this paper a network comprising alternative branching nodes with probabilistic outcomes is considered. In other words, network nodes are probabilistic with exclusive-or receiver and exclusive-or emitter. First, an analytical approach is proposed to simplify the structure of network. Then, it is assumed that the duration of activities is positive trapezoidal fuzzy number (TFN). This paper com...

conclusions corticosteroid pulse therapy in spms was effective in inflammatory process, but could not postpone or decline the neurodegenerative process and besides the imposing side effects could not result in significant improvement in edss and mri plaques number in long term. patients and methods a double blind randomized controlled clinical trial was performed on 71 patients with spms referr...

We describe the category of equivariant vector bundles on a smooth (partial) group completion of an adjoint simple algebraic group. As a corollary of our description, we prove that every equivariant vector bundle of rank less than or equal to rkG on the canonical (wonderful) completion splits into a direct sum of line bundles.

We describe the category of equivariant vector bundles on a smooth (partial) group completion of an adjoint simple algebraic group. As a corollary of our description, we prove that every equivariant vector bundle of rank less than or equal to rkG on the canonical (wonderful) completion splits into a direct sum of line bundles.

We introduce general algorithms for oo-line and on-line scheduling of parallel and independent jobs on a multiprocessor system. In the oo-line case we consider two models by allowing and disallowing release dates. Following Hall, Schulz, Shmoys, and Wein 11], we achieve a constant approximation factor for both minimizing weighted sum of the job completion times and makespan objectives. Followin...

In this study we examined the perception of one- and two-dimensional patterns across central retinal scotomas, caused by age-related macular degeneration. In contrast with previous studies of disrupted visual input that used the blind spot and artificial scotomas, the current study used large central scotomas caused by physical retinal damage. Such damage is associated with atrophy and long-ter...

Human adults are thought to possess two dissociable systems to represent numbers: an approximate quantity system akin to a mental number line, and a verbal system capable of representing numbers exactly. Here, we study the interface between these two systems using an estimation task. Observers were asked to estimate the approximate numerosity of dot arrays. We show that, in the absence of calib...