1,182 research outputs found

    An Open Letter to Barbara Mofsky and the Friends and Family of Jim Mofsky

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    An Open Letter to Barbara Mofsky and the Friends and Family of Jim Mofsky

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    Überwachung & Optimierung einer komplexen PV-Anlage: Diplom 2015

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    Für die von der Hesso Valais System Engineering entwickelte Solaranlage mit einem 700V DC-Bus, soll ein intelligentes Überwachungssystem erstellt werden und durch Vergleich mit Simulationen die Effizienz der Solaranlage analysiert werden

    Interview with Theraby Griswould

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    An interview with Theraby Griswould regarding her experiences in a one-room school house.https://scholars.fhsu.edu/ors/1203/thumbnail.jp

    Optimizing the depth of variational quantum algorithms is strongly QCMA-hard to approximate

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    Variational Quantum Algorithms (VQAs), such as the Quantum Approximate Optimization Algorithm (QAOA) of [Farhi, Goldstone, Gutmann, 2014], have seen intense study towards near-term applications on quantum hardware. A crucial parameter for VQAs is the depth of the variational ansatz used - the smaller the depth, the more amenable the ansatz is to near-term quantum hardware in that it gives the circuit a chance to be fully executed before the system decoheres. This potential for depth reduction has made VQAs a staple of Noisy Intermediate-Scale Quantum (NISQ)-era research. In this work, we show that approximating the optimal depth for a given VQA ansatz is intractable. Formally, we show that for any constant ϵ>0\epsilon>0, it is QCMA-hard to approximate the optimal depth of a VQA ansatz within multiplicative factor N1ϵN^{1-\epsilon}, for NN denoting the encoding size of the VQA instance. (Here, Quantum Classical Merlin-Arthur (QCMA) is a quantum generalization of NP.) We then show that this hardness persists even in the "simpler" setting of QAOAs. To our knowledge, this yields the first natural QCMA-hard-to-approximate problems. To achieve these results, we bypass the need for a PCP theorem for QCMA by appealing to the disperser-based NP-hardness of approximation construction of [Umans, FOCS 1999].Comment: 31 pages, 2 figure

    A New Stabilization Approach to Cadaveric Shoulder Joint Testing

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    This article was published in the Spring 2012 issue of the Journal of Undergraduate Researc

    HISTORICAL CONTINGENCY AND BIOTIC DETERMINISM IN COMMUNITY ASSEMBLY: A LONG-TERM EXPERIMENT OF GRASSLAND DYNAMICS

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    Starting with studies about ecological succession over a century ago, ecologists have been interested in the extent to which community assembly is predictable and the degree to which assembly is influenced by colonization history and initial conditions. Today, ecologists agree that there are two general processes by which communities may assemble. The first is deterministic assembly, in which environmental conditions determine the outcomes of species interactions, and thus under common environmental conditions communities converge in composition over time. The second is historically contingent assembly, in which colonization history - regardless of environmental conditions - create unique biotic conditions and unique assembly trajectories that produce divergent communities, driven by stochastic community drift or by priority effects. It is recognized that these processes are not mutually exclusive but work in concert to produce observed, mature communities in nature. To tease apart the roles and influences of these two processes, a field experiment in experiment was established in eastern Kansas that experimentally manipulated grassland communities to a wide variety of initial conditions in terms of species richness, species composition, and the relative abundances of constituent species. The subsequent convergence or divergence of these communities over eight years of community development was assessed not only in terms of species composition but also in functional trait and phylogenetic composition in order to integrate information on the niche requirements of coexisting species, which influences the intensity of those interactions. Furthermore, analyses of community composition were conducted using abundance-weighted and presence/absence data in order to emphasize abundance dynamics and occupancy dynamics over the course of community assembly. These analyses revealed that assembly processes varied both among different levels of community organization (i.e. species, functional trait, or phylogenetic composition) and among weighting schemes within a level of community organization: species abundance is strongly deterministic while species occupancy is historically contingent; functional trait abundance is historically contingent while functional trait occupancy dynamics are strongly deterministic; phylogenetic dynamics are historically contingent regardless of weighting scheme. When functional trait analyses were broken down into individual traits, it was found that dynamics in among-plot dissimilarity varied widely, converging with respect to some and diverging with respect to others. This indicated that the broad trends in aggregate functional trait composition may belie the variable dynamics of different traits during assembly. Overall, these results provide a comprehensive and in-depth experimental study of plant community assembly processes by including and comparing both functional trait and phylogenetic composition in the assessment of community convergence or divergence, and also by considering abundance dynamics separately from occupancy dynamics. In doing so, the varied influences of deterministic and historically-contingent assembly processes are better understood. It is worth noting, however, that despite a relatively long-term experimental dataset, eight years is a fairly short timespan on an ecological scale. As such, these results only characterize dynamics at the very onset of community assembly, which may crucially impact later dynamics, but may still be species- and context-dependent and in flux, with a capacity to change over time. However, these results are still valuable to our overall understand of the long-term processes of community assembly, with the potential to improve restoration and conservation efforts in the face of habitat degradation and global climate change
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