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タンパク質キナーゼAurora-B の新規基質であるSAKI の機能解析研究

博甲第25号生命システム科学博士県立広島大

On quaternionic functional analysis

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 $B^*$-algebras are equivalent to the category of real vector spaces, the category of real Hilbert spaces and the category of real $C^*$-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 $B^*$-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

Warped Functional Analysis of Variance

This article presents an Analysis of Variance model for functional data that explicitly incorporates phase variability through a time-warping component, allowing for a unified approach to estimation and inference in presence of amplitude and time variability. The focus is on single-random-factor models but the approach can be easily generalized to more complex ANOVA models. The behavior of the estimators is studied by simulation, and an application to the analysis of growth curves of flour beetles is presented. Although the model assumes a smooth latent process behind the observed trajectories, smoothness of the observed data is not required; the method can be applied to the sparsely observed data that is often encountered in longitudinal studies

Functional Analysis on Bali Botanical Garden for Society

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