32 research outputs found

    Report of computer experiments on the Rauzy fractals (Algebraic system, Logic, Language and Related Areas in Computer Sciences II)

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    For a Pisot primitive unimodular substitution over the alphabet A with d letters, a substitution dynamical system consisting of a subset of the full A shift and a shift map is constructed. And we obtain d - 1 dimensional domain, so called the Rauzy fractals as a geometrical realization of the substitution dynamical system. The authors conducted computer experiments to observe geometrical properties of the Rauzy fractals. In this report, examples of the Rauzy fractals are given

    Tilings from some non-irreducible, Pisot substitutions

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    A generating method of self-affine tilings for Pisot, unimodular, irreducible substitutions, as well as the fact that the associated substitution dynamical systems are isomorphic to rotations on the torus are established in P. Arnoux and S. Ito. The aim of this paper is to extend these facts in the case where the characteristic polynomial of a substitution is non-irreducible for a special class of substitutions on five letters. Finally we show that the substitution dynamical systems for this class are isomorphic to induced transformations of rotations on the torus

    位数dの可逆記号変換の諸性質とその高次元化

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    取得学位:博士(理学),学位授与番号:博乙第271号,学位授与年月日:平成15年9月30日,学位授与年:200

    Usefulness of the waterless method for surgical hand washing:A comparison with the conventional scrub method

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    To evaluate the usefulness of the waterless hand washing method for surgical anti-sepsis, we conducted a microbial sampling study, comparing it to a conventional surgical scrub method. A total of 18 operating-room nurses were undertaking the following three-hand washing protocols : scrubbing with blushes using 4w/v% chlorhexidine gluconate (CHG) and also rubbing with CHG, followed by application of a 0.2w/v% CHG with ethanol (HS) preparation. (conventional method); rubbing with CHG and application of HS (two-stage surgical scrub method; TSS); rubbing with anti-septic soap and application of HS (waterless method; WL). Microbial sampling was conducted after hand washing using the glove juice method. No statistically significant differences in bacterial numbers were found among these three methods. The number of bacterially positive subjects was significantly higher in the conventional method than the TSS method. These results indicate that there are adverse effects of blush-scrubbing, as the detected bacteria were related to normal skin flora. As such, the WL method for hand anti-sepsis appears to be equivalent to the conventional surgical scrubbing method in terms of microbial detection. The WL method should therefore be introduced as a standard hand anti-sepsis method at the time of surgery because it is cost-effective as well as time-efficient

    Some properties of invertible substitutions of mathopmathrm{rank} d, and higher dimensional substitutions

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