2-Dimensional complete self-shrinkers in $$\mathbf {R}^3$$

It is our purpose to study complete self-shrinkers in Euclidean space. By making use of the generalized maximum principle for \(\mathcal {L}\)-operator, we give a complete classification for 2-dimensional complete self-shrinkers with constant squared norm of the second fundamental form in \(\mathbb R^3\). Ding and Xin (Trans Am Math Soc 366:5067–5085, 2014) have proved this result under the assumption of polynomial volume growth, which is removed in our theorem.     

Study of Tensor Correlations in 4He via the 4He(p, dp)d and 4He(p, dp)pn Reactions

Tensor correlations in ⁴He were studied via the (p, dp) reaction at the incident energy of 392 MeV with a focus on spin configurations of correlated pn pairs in ⁴He at high relative momenta ${(P_{\rm rel}^{\rm cor})}$ . The preliminary results show that the correlated pn pair at ${P_{\rm rel}^{\rm cor} = 310 {\rm MeV/c}}$ predominantly has the channel spin S = 1, which is consistent with the characteristics of tensor correlations.     

The Shannon-McMillan Theorem for AF C*-systems

We give a new proof of quantum Shannon-McMillan theorem, extending it to AF C*-systems. Our proof is based on the variational principle, instead of the classical Shannon-McMillan theorem.     

Effect of industrial water components on thermal stability of nitrocellulose

In order to prevent the spontaneous ignition of nitrocellulose (NC), NC is stabilized by washing with industrial water in its synthesis process. However, there is a possibility that the components in industrial water contribute to the thermal stability of NC. In this way, the purpose of this study is to clarify the effect of industrial water components on the thermal stability of NC. In experiments, a heat flux calorimeter was used to observe the thermal behavior of NC with the residue of vaporized industrial water. The induction period of heat release of NC with 2-mass% residues was approximately 2–5 h shorter than that of NC alone whose induction period was observed at 7 h. Those results indicate that the residue destabilized NC. On the other hand, when the additive amount of the residue was increased, the induction period gradually increased as well. Based upon these results, we assume that inorganic salts contributing to stabilization and destabilization competitively coexist in the industrial water components. The same thermal analysis was performed on NC with CaCO₃, CaSO₄, CaCl, ZnSO₄, NaCl, and CuCl. Those salts are predicted to exist in the industrial water. In the results, the induction period of NC with 2-mass% CaCO₃ was approximately 15-h longer than that of NC alone, while the induction period with the inorganic salts CaSO₄, CaCl, ZnSO₄, NaCl, and CuCl was 4–5-h shorter. Therefore, when the industrial water components accumulate in NC, the destabilization by inorganic salts such as CaSO₄, CaCl, ZnSO₄, NaCl, and CuCl and the stabilization by compounds such as CaCO₃ are thought to countervail against each other.     

Determination of the structure of {31}ne by a fully microscopic framework

We perform the first quantitative analysis of the reaction cross sections of {28-32}Ne by {12}C at 240 MeV/nucleon, using the double-folding model with the Melbourne g matrix and the deformed projectile density calculated by antisymmetrized molecular dynamics. To describe the tail of the last neutron of {31}Ne, we adopt the resonating group method combined with antisymmetrized molecular dynamics. The theoretical prediction excellently reproduces the measured cross sections of {28-32}Ne with no adjustable parameters. The ground state properties of {31}Ne, i.e., strong deformation and a halo structure with spin parity 3/2{-}, are clarified.     

Inference for vast dimensional elliptical distributions

We propose a quantile–based method to estimate the parameters of an elliptical distribution, and a battery of tests for model adequacy. The method is suitable for vast dimensions as the estimators for location and dispersion have closed–form expressions, while estimation of the tail index boils down to univariate optimizations. The tests for model adequacy are for the null hypothesis of correct specification of one or several level contours. A Monte Carlo study to three distributions (Gaussian, Student–t and elliptical stable) for dimensions 20, 200 and 2000 reveals the goodness of the method, both in terms of computational time and finite samples. An empirical application to financial data illustrates the method.     

Characteristics and function of human hemoglobin vesicles as an oxygen carrier

A liposome‐encapsulated human hemoglobin (Neo Red Cell, (NRC) has been developed and evaluated as an artificial oxygen carrier. The NRC is a liposome‐encapsulated highly concentrated (>45%) stroma‐free human hemoglobin with inositol hexaphosphate (IHP as an allosteric effector), a coenzyme and substrates for reducing methemoglobin (metHb). The NRC's surface was coated with polyethylene glycol to prevent aggregation in plasma and to prolong their retention time in the blood stream. The oxygen binding behavior of the NRC in vitro was investigated and it was found that it effectively transports oxygen in vivo as an oxygen carrier. The oxygen binding behavior and kinetics were studied by the stopped‐flow method and the oxygen binding curve of the NRC was determined. The oxygen binding speed and binding coefficient (K_on) of NRC, washed human red blood cells (WRBC) and stroma‐free human hemoglobin (SFHb) were measured by stopped‐flow method. The oxygen binding speed of SFHb was the highest, while that of RBC was the lowest and that of NRC was intermediate. The oxygen binding of NRC ended within 60 msec when deoxy‐NRC was mixed with oxygen. The K_on of NRC was 2.9 × 10⁵, 10 times faster than that of RBC. The oxygen binding curve and P₅₀O₂ of NRC that contained various IHP concentrations were measured. The oxygen‐binding curve of the NRC sequentially shifted to the right as the IHP content was increased. Exchange transfusion of 70% was carried out for rats with NRC containing various concentrations of IHP and of Hb, and investigated the optimum concentration of NRC in vivo. The lactate value after exchange transfusion was three times higher than before exchange transfusion, when rats were subjected to exchange transfused with NRC that did not contain IHP. But the increase of lactate was suppressed when rats were transfused with NRC that contained IHP. When the Hb concentration of NRC was 5 and 6%, exchange transfused rats recovered to normality just like rats transfused with RBC. Copyright © 2000 John Wiley & Sons, Ltd.     

Studies on the oxidative cyclization of 3-hydroxyalkyl-1,2,4-trialkoxynaphthalenes and synthetic application for the biologically active natural compound rhinacanthone

The oxidative intramolecular cyclization of 3-hydroxyalkyl-1,2,4-trimethoxynaphthalenes was investigated. A series of 1,2-naphthoquinone fused cyclic ethers were synthesized directly from 3-hydroxyalkyl-1,2,4-trimethoxynaphthalenes by exposure to diammonium cerium (IV) nitrate. To understand the reaction mechanism, the intramolecular cyclization of 3-hydroxyalkyl-naphthoquinones that were formed as reaction intermediates was also examined. The results suggested that the reaction proceeds by a stepwise oxidation–cyclization mechanism. Using this methodology, five-step synthesis of rhinacanthone was achieved with high yield.     

Asymmetric Organocatalyzed Michael Addition of Nitromethane to a 2‐Oxoindoline‐3‐ylidene Acetaldehyde and the Three One‐Pot Sequential Synthesis of (−)‐Horsfiline and (−)‐Coerulescine

(?)‐Horsfiline and (?)‐coerulescine were synthesized through three one‐pot operations in 33 and 46 % overall yield, respectively. Key to the success was the efficient use of a diarylprolinol silyl ether to catalyze the asymmetric Michael addition of nitromethane to a 2‐oxoindoline‐3‐ylidene acetaldehyde. This allowed the all‐carbon quaternary, spirocyclic carbon stereocenter to be constructed in good yield with excellent enantioselectivity.