244,659 research outputs found

    Riemann zeros, prime numbers and fractal potentials

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    Using two distinct inversion techniques, the local one-dimensional potentials for the Riemann zeros and prime number sequence are reconstructed. We establish that both inversion techniques, when applied to the same set of levels, lead to the same fractal potential. This provides numerical evidence that the potential obtained by inversion of a set of energy levels is unique in one-dimension. We also investigate the fractal properties of the reconstructed potentials and estimate the fractal dimensions to be D=1.5D=1.5 for the Riemann zeros and D=1.8D = 1.8 for the prime numbers. This result is somewhat surprising since the nearest-neighbour spacings of the Riemann zeros are known to be chaotically distributed whereas the primes obey almost poisson-like statistics. Our findings show that the fractal dimension is dependent on both the level-statistics and spectral rigidity, Δ3\Delta_3, of the energy levels.Comment: Five postscript figures included in the text. To appear in Phys. Rev.

    Information Literacy in the Workplace: A Cross-cultural Perspective

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    This cross-cultural study has two main purposes: to investigate how information literacy is perceived in the workplace and to discover how employees obtain information to carry out their jobs in an effective and timely fashion. This project applies a mix of research methods, including site visits, interviews, and a survey. More than 120 participants from forty companies were involved in this study. They were from a wide variety of industries in Taiwan and Silicon Valley, in Northern California, where many companies base offices or operations from around the world. Major obstacles in conducting cross-continent research are cost, time demands, scheduling, and adaptation to local culture. In this global economy, cross-cultural and cross-border research will help educators, such as librarians, understand the complexity of skills expected in the workplace. Much has been written on information literacy, yet very few can relate how information literacy is applied in the workplace. This primary study sheds some light to help academic librarians reposition themselves as researchers-educators integral to student success

    EEOC v. Mueller Industries, Inc.,

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    Multirole logic and multiparty channels

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    We identify multirole logic as a new form of logic in which conjunction/disjunction is interpreted as an ultrafilter on the power set of some underlying set (of roles), and the notion of negation is generalized to endomorphisms on this underlying set. In this talk, we present linear multirole logic (LMRL) as a natural generalization of classical linear logic (CLL). Among various meta-properties established for LMRL, we obtain one named multiparty cut-elimination stating that every cut involving one or more sequents (as a generalization of a binary cut involving exactly two sequents) can be eliminated, thus extending the celebrated result of cut-elimination by Gentzen. An immediate application of LMRL can be found in a formulation of session types for channels that support multiparty communication in distributed programming. Guided by LMRL, we give an interesting interpretation to linear multiplicative conjunction/disjunction as session type constructors that encompasses certain seemingly contradictory ones found in the literature
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