34 research outputs found

    On generalized Hadamard matrices GH(q,q)'s and GH(q,q^2)'s

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    A matrix H=[dij]H=[d_{ij}] is a generalized Hadamard matrix of order uλu\lambda with entries from UU which is a finite group of order uu (for short GH(u, λ)\mathrm{GH}(u,\,\lambda)) such that whenever i≠ℓi\neq \ell the set {dijdℓj−1 ∣ 1≤j≤uλ}\{d_{ij}d_{\ell j}^{-1}\,|\, 1\leq j\leq u\lambda \} contains each element of UU exactly λ\lambda times. In this paper, we construct GH(q, q)\mathrm{GH}(q,\,q)'s and GH(q, q2)\mathrm{GH}(q,\,q^{2})'s over additive groups of finite fields GF(q)\mathrm{GF}(q)'s by using some sorts of functions

    Pushing coarse-grained models beyond the continuum limit using equation learning

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    Mathematical modelling of biological population dynamics often involves proposing high fidelity discrete agent-based models that capture stochasticity and individual-level processes. These models are often considered in conjunction with an approximate coarse-grained differential equation that captures population-level features only. These coarse-grained models are only accurate in certain asymptotic parameter regimes, such as enforcing that the time scale of individual motility far exceeds the time scale of birth/death processes. When these coarse-grained models are accurate, the discrete model still abides by conservation laws at the microscopic level, which implies that there is some macroscopic conservation law that can describe the macroscopic dynamics. In this work, we introduce an equation learning framework to find accurate coarse-grained models when standard continuum limit approaches are inaccurate. We demonstrate our approach using a discrete mechanical model of epithelial tissues, considering a series of four case studies that illustrate how we can learn macroscopic equations describing mechanical relaxation, cell proliferation, and the equation governing the dynamics of the free boundary of the tissue. While our presentation focuses on this biological application, our approach is more broadly applicable across a range of scenarios where discrete models are approximated by approximate continuum-limit descriptions. All code and data to reproduce this work are available at https://github.com/DanielVandH/StepwiseEQL.jl.Comment: 42 pages, 18 figure

    Mt. Washington Summit Facility Design and Wastewater Plant Analysis

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    The goal of this project was to design an environmental research facility with an adequate fire protection system and to improve the wastewater treatment on the summit. This project assessed building and wastewater treatment needs for the extreme weather conditions on the summit of Mount Washington in New Hampshire. Two separate structural frames using structural steel and concrete were designed, and the structural steel frame was recommended as the best option. An INERGEN fire protection system was selected for the proposed research facility. The current package wastewater treatment plant\u27s influent and effluent characteristics were analyzed. Recommendations were made to modify the processes of the current wastewater treatment plant and to improve influent characteristics

    Mt. Washington Summit Facility Design and Wastewater Plant Analysis

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    The goal of this project was to design an environmental research facility with an adequate fire protection system and to improve the wastewater treatment on the summit. This project assessed building and wastewater treatment needs for the extreme weather conditions on the summit of Mount Washington in New Hampshire. Two separate structural frames using structural steel and concrete were designed, and the structural steel frame was recommended as the best option. An INERGEN fire protection system was selected for the proposed research facility. The current package wastewater treatment plant\u27s influent and effluent characteristics were analyzed. Recommendations were made to modify the processes of the current wastewater treatment plant and to improve influent characteristics

    Kelowna Courier

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    Space station propulsion requirements study

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    Propulsion system requirements to support Low Earth Orbit (LEO) manned space station development and evolution over a wide range of potential capabilities and for a variety of STS servicing and space station operating strategies are described. The term space station and the overall space station configuration refers, for the purpose of this report, to a group of potential LEO spacecraft that support the overall space station mission. The group consisted of the central space station at 28.5 deg or 90 deg inclinations, unmanned free-flying spacecraft that are both tethered and untethered, a short-range servicing vehicle, and a longer range servicing vehicle capable of GEO payload transfer. The time phasing for preferred propulsion technology approaches is also investigated, as well as the high-leverage, state-of-the-art advancements needed, and the qualitative and quantitative benefits of these advancements on STS/space station operations. The time frame of propulsion technologies applicable to this study is the early 1990's to approximately the year 2000

    GVSU Press Releases, 2011

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    A compilation of press releases for the year 2011 submitted by University Communications (formerly News & Information Services) to news agencies concerning the people, places, and events related to Grand Valley State University

    Winona Daily News

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    https://openriver.winona.edu/winonadailynews/1044/thumbnail.jp

    Winona Daily News

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    https://openriver.winona.edu/winonadailynews/1049/thumbnail.jp
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