This is an introduction to some aspects of Fomin-Zelevinsky’s cluster algebras and their links with the representation theory of quivers and with Calabi-Yau triangulated categories. It is based on lectures given by the author at summer schools held in 2006 (Bavaria) and 2008 (Jerusalem). In addition to by now classical material, we present the outline of a proof of the periodicity conjecture fo...

In hermaphroditic plants, female reproductive success often varies among different positions within an inflorescence. However, few studies have evaluated the relative importance of underlying causes such as pollen limitation, resource limitation or architectural effect, and few have compared male allocation. During a 2-year investigation, we found that female reproductive success of an acropeta...

This paper studies connections between the preprojective modules over the path algebra of a finite connected quiver without oriented cycles, the (+)-admissible sequences of vertices, and the Weyl group. For each preprojective module, there exists a unique up to a certain equivalence shortest (+)-admissible sequence annihilating the module. A (+)-admissible sequence is the shortest sequence anni...

BACKGROUND Many technological, biological, social, and information networks fall into the broad class of 'small-world' networks: they have tightly interconnected clusters of nodes, and a shortest mean path length that is similar to a matched random graph (same number of nodes and edges). This semi-quantitative definition leads to a categorical distinction ('small/not-small') rather than a quant...

Anti-tumor effect of Doxorubicin with Bubble Liposome and Ultrasound Yoshinori Ueno1, Syozo Sonoda2, Ryo Suzuki3, Masahiro Yokouchi1, Yasuomi Kawasoe1, Kazuo Maruyama3, Taiji Sakamoto2, Setsuro Komiya1 1Department of Orthopaedic Surgery, kagoshima Graduate School of Medicine and Dental Sciences, Kagoshima, Japan; 2Department of Ophthalmology, kagoshima Graduate School of Medicine and Dental Sci...

We have analyzed how much the CP angles to be measured at B factories can deviate from the geometrical ones defined in unitarity triangle under the existence of new physics. The measurements are given in rephasing invariant form. If KM matrix is not a 3×3 and unitary matrix, φ̃1 and φ̃3 is affected, and the value of φ̃3 depends on the decay mode. The deviation is constrained to be less than the ex...

of a Joint-Axis of a Linked Obje t Kazuya Matsuo, Kouji Murakami, Katsuya Niwaki, Tsutomu Hasegawa, Kenji Tahara, and Ryo Kurazume Abstra t—This paper des ribes a ta tile sensing to estimate the position and orientation of a joint-axis of a linked obje t. This ta tile sensing is useful when a multi-jointed multingered roboti hand manipulates a tool whi h has a joint. This estimation requires se...

This manuscript addresses the role and contribution of people affected by Hansen's disease (leprosy), especially through the efforts of Zen-Ryo-Kyo, the National Hansen's Disease Sanatoria Residents' Association, in changing laws and attitudes in Japan since the 1950's. Health social movements are discussed in the Japanese context and more broadly. An important contribution of this manuscript i...

The mechanism by Hart and Mas-Colell (1996) for non-transferable utility (NTU) games is generalized so that a coalition structure among players is taken into account. The new mechanism yields the Owen value for transferable utility (TU) games with coalition structure as well as the consistent value (Maschler and Owen 1989, 1992) for NTU games with trivial coalition structure. Furthermore, we ob...

DE VOS, A.]. & DOBSON, LYNNE D. Eimeria chinchillae DeVos & Vander Westhuizen, 1968 and other Eimeria spp. from three South African rodent species. Onderstepoort ]. vet. Res., 37 (4), 185-190 (1970). Eimeria chinchillae DeVos & Vander Westhuizen, 1968, an organism originally described from the chinchilla and subsequently shown to be transmissible to other rodents, was found to occur naturally i...