Domination number of annulus triangulations

An {\em annulus triangulation} $G$ is a 2-connected plane graph with two disjoint faces $f_1$ and $f_2$ such that every face other than $f_1$ and $f_2$ are triangular, and that every vertex of $G$ is contained in the boundary cycle of $f_1$ or $f_2$. In this paper, we prove that every annulus triangulation $G$ with $t$ vertices of degree 2 has a dominating set with cardinality at most $\lfloor \frac{|V(G)|+t+1}{4} \rfloor$ if $G$ is not isomorphic to the octahedron. In particular, this bound is best possible

Statistical observation on cases of death by poisoning in Tokushima

From 1986 to 1996, death by poisoning occurred 244 cases in Tokushima Prefecture and 32,692 cases in Japan. We analyzed these poisoning cases statistically. The number of the poisoning cases per one hundred-thousand of population was 26 in Japan and 29 in Tokushima. The most frequent case was pesticides in Tokuahima and volatile matter in Japan. As for the carbon monoxide poisoning, the exhaust gas and burning had accounted for 80% in Tokushima and in Japan. The exhaust gas was more frequent in Tokushima (60.3%) than in Japan (46.7%). In the cases of poisoning by pesticides, paraquat poisoning was most frequent in Tokushima and in Japan. It was characterized that the carbamate was more frequent than organophosphate in Tokushima. Recently, poisoning by pharmaceuticals has tended to increase in Japan. However, in Tokushima, poisoning by pesticides is still frequent, and is rather increasing

Fatal accidental asphyxia

Accidental death from postural or positional asphyxia can occur when an individual’s body compromises their respiration. The diagnosis of positional asphyxia is usually based on circumstantial evidence supported by the absence of other significant underlying causes of death. A female in her twenties was found dead in the so-called bridge position on a chair with wheels. Her jacket had rolled under one of the chair’s wheels. She was 159 cm in height and weighed 28.8 kg. Her body mass index was 11.4 (she was severely emaciated), and her muscles, including the rectus abdominis muscle, were thin. Her head, face, and neck were markedly congested. Her lungs, especially the upper lobes, were also congested. A small quantity of left cardiac blood was detected, which was slightly coagulated. The right cardiac blood was liquid (21 ml), and the right ventricle was slightly enlarged. It was suggested that the circulation from the lungs to the heart had been restricted. Toxicological tests detected psychoactive agents in the deceased’s blood and urine. The concentration of one of them, tofisopam, was slightly higher than normal. It was suggested that the effects of tofisopam and the deceased’s poor physical condition had impaired her motility, trapping her in an abnormal body position, ‘the reverse jack-knife position’. Therefore, her manner of death was considered to be accidental positional asphyxia. We should be aware that chairs with wheels can occasionally cause such accidents

Common Teaching Materials in Japanese School Music Education: The Moldau in Junior High Schools

Common teaching materials for singing, which are particular songs for generations set by the Ministry of Education in Japan, have been employed for the curriculum guideline. Since 1998, common teaching materials for appraising, which are particular pieces of music set by ministry of education, have not employed for the curriculum guideline. This change came about as a result of fewer music lessons being provided in Japanese schools; it was not because there was any question over the essential significance of the common teaching materials presented. We reviewed the significance of common teaching materials in a previous study. There, we examined how the Fate motif in Beethoven’s Fifth Symphony was dealt with in textbooks and teacher manuals. In the present study, we examined The Moldau by Smetana in the same way

Multiple Magnetoelectric Plateaux in Polar Magnet Fe2_2Mo3_3O8_8

The magnetization and electric polarization of a polar antiferromagnet Fe$_2$Mo$_3$O$_8$ are studied up to 66 T for spin-saturation magnetic fields applied along the polar axis. The magnetization process at 1.4 K exhibited multistep structures below the saturation field of 65 T. The electric polarization along the polar axis exhibits a similar multistep behavior with a total change of 1.2 $\rm{\mu}C/cm^{2}$. A combined triangular-lattice antiferromagnetic model with strong Ising-type spin anisotropy reproduces this multistep magnetoelectric (ME) effect. The exchange striction mechanism explains the remarkable ME response in the two sub-lattice type-I multiferroic materials. These results and interpretation demonstrate a method for realizing multistage magnetoelectric effects in hybrid spin systems.Comment: 10 pages, 5 figure