193,848 research outputs found

    on behalf of The British Society for the Philosophy of Science Brit

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    On quaternionic functional analysis

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    In this article, we will show that the category of quaternion vector spaces, the category of (both one-sided and two sided) quaternion Hilbert spaces and the category of quaternion BB^*-algebras are equivalent to the category of real vector spaces, the category of real Hilbert spaces and the category of real CC^*-algebras respectively. We will also give a Riesz representation theorem for quaternion Hilbert spaces and will extend two results of Kulkarni (namely, we will give the full versions of the Gelfand-Naimark theorem and the Gelfand theorem for quaternion BB^*-algebras). On our way to these results, we compare, clarify and unify the term "quaternion Hilbert spaces" in the literatures.Comment: to appear in the Mathematical Proceedings of the Cambridge Philosophical Societ

    Slum Housing: A Functional Analysis

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    Functional Analysis on Bali Botanical Garden for Society

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    Bali Botanical Gardens as one of the government agencies that play a role in conservation, research, education, tourism, and environmental services, have a great responsibility for the conservation of biodiversity in Indonesia. Bali Botanical Gardens take website advantage of existing services to promote the service program in the field of conservation and environmental education as well as contributing to socialize about preserving the environment. Bali botanical gardens provide a variety of information with the submission that is easily understood by tourists who want to visit. Bali Botanical Gardens itself makes the website and facebook fan page as the promotion, reporting and socialize both in terms of reporting to support e-government and the most important is the focus in the field of environment, the conservation of nature, the introduction and utilization of research results and an introduction to the various types of Mountain crops to the public. In addition to the website and facebook fan page Bali Botanical Gardens also use TripAdvisor know the feedback from the community after a visit to the Bali Botanical Gardens

    Expressing and functional analysis of mammalian apoptotic regulators in yeast

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    The ease by which yeast can be manipulated in conjunction with their similarities to cells of more complex metazoans makes many yeast species, particularly Saccharomyces cerevisae, very attractive models for the study of conserved evolutionary processes that occur in eukaryotes. The ability to functionally express heterologous genes in these cells has allowed the development of countless new and elegant approaches leading to detailed structure-function analysis of numerous mammalian genes. Of these, the most informative have been the studies involving the analysis of regulators that have no direct or obvious sequence orthologue in yeast, including members of the Bcl-2 family of proteins, caspases and tumour suppressors. Here we review the field and provide evidence that these studies have served to further understand mammalian apoptosis
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