Hydrogen targets for exotic-nuclei studies developed over the past 10 years

Hydrogen-induced reactions provide essential information on nuclear structure, complementary to other experimental probes. For studies at both low and relativistic incident energy, developments in hydrogen targets have been performed over the past 10 years in parallel with the development of new radioactive beams. We present a review of all major hydrogen target developments related to the study of exotic nuclei with direct reactions in inverse kinematics. Both polarized and non-polarized systems are presented.Comment: 24 pages, 27 figures, review articl

Blow-Up of Positive Solutions to Wave Equations in High Space Dimensions

This paper is concerned with the Cauchy problem for the semilinear wave equation: u_{tt}-\Delta u=F(u) \ \mbox{in} \ R^n\times[0, \infty), where the space dimension $n \ge 2$, $F(u)=|u|^p$ or $F(u)=|u|^{p-1}u$ with $p>1$. Here, the Cauchy data are non-zero and non-compactly supported. Our results on the blow-up of positive radial solutions (not necessarily radial in low dimensions $n=2, 3$) generalize and extend the results of Takamura(1995) and Takamura, Uesaka and Wakasa(2011). The main technical difficulty in the paper lies in obtaining the lower bounds for the free solution when both initial position and initial velocity are non-identically zero in even space dimensions.Comment: 16page

Neo-nocardin, a New Antibiotic Produced by a New Species of Nocardia : II. The effect of neo-nocardin on the experimental tuberculosis in mice

この論文は国立情報学研究所の学術雑誌公開支援事業により電子化されました。The effect of the crude hydrochloride extracted from the fermented broth of Nocardia kuroishi A. 422 (neo-nocardin) on the tubercle bacillus in mice was investigated. (1) Mice were infected with tubercle bacilli intravenously and the quantitative estimation of the living bacilli in lungs, spleen and liver was done every seven days. (2) In relation to the growth of tubercle bacilli in the organs of mice, the development of tuberculous infection may be divided into three stages. (3) Treatment with antibiotics-neo-nocardin and streptomycin-was done in each stages of infection. It was recognized that there is no remarkable difference in the antituberculous activity between two antibiotics tested

Analog perceptrons: On additive representation of functions

The theory of computational geometry in Perceptrons (Rosenblatt, 1962), developed by M. Minsky and S. Papert (1969), is extended to “Analog Perceptrons” with real-valued input and out-put. Mathematically, our problem is to determine the order of a function, i.e., the smallest number of variables necessary to make an additive representation of the function by employing partial functions of the smaller number of variables.Mathematical tools, called the group-invariance theorem, the classification theorem and the collapsing theorem, are given which are useful for evaluating the order of analog Perceptrons. These are also applied for several analog Perceptrons

Oscillation or nonoscillation property for semilinear wave equations

AbstractWe considerP±u=∂t2u−Δu±F(u)=0,where F(u)=au+f(u) with a⩾0 and f(0)=0. For the Cauchy problem of P+ if a>0, every nontrivial solution oscillates for any initial data. On the other hand for the Cauchy problem of P− if a⩾0, the solution does not change its sign for some initial data, namely it has nonoscillation property