There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

The lithium metal battery is strongly considered to be one of the most promising candidates for high-energy-density energy storage devices in our modern and technology-based society. However, uncontrollable lithium dendrite growth induces poor cycling efficiency and severe safety concerns, dragging lithium metal batteries out of practical applications. This review presents a comprehensive overview of the lithium metal anode and its dendritic lithium growth. First, the working principles and technical challenges of a lithium metal anode are underscored. Specific attention is paid to the mechanistic understandings and quantitative models for solid electrolyte interphase (SEI) formation, lithium dendrite nucleation, and growth. On the basis of previous theoretical understanding and analysis, recently proposed strategies to suppress dendrite growth of lithium metal anode and some other metal anodes are reviewed. A section dedicated to the potential of full-cell lithium metal batteries for practical applicatio...

Toward Safe Lithium Metal Anode in Rechargeable Batteries: A Review.

The author's preface gives an outline: "This book is about weakconvergence methods in metric spaces, with applications sufficient to show their power and utility. The Introduction motivates the definitions and indicates how the theory will yield solutions to problems arising outside it. Chapter 1 sets out the basic general theorems, which are then specialized in Chapter 2 to the space C[0, l ] of continuous functions on the unit interval and in Chapter 3 to the space D [0, 1 ] of functions with discontinuities of the first kind. The results of the first three chapters are used in Chapter 4 to derive a variety of limit theorems for dependent sequences of random variables. " The book develops and expands on Donsker's 1951 and 1952 papers on the invariance principle and empirical distributions. The basic random variables remain real-valued although, of course, measures on C[0, l ] and D[0, l ] are vitally used. Within this framework, there are various possibilities for a different and apparently better treatment of the material. More of the general theory of weak convergence of probabilities on separable metric spaces would be useful. Metrizability of the convergence is not brought up until late in the Appendix. The close relation of the Prokhorov metric and a metric for convergence in probability is (hence) not mentioned (see V. Strassen, Ann. Math. Statist. 36 (1965), 423-439; the reviewer, ibid. 39 (1968), 1563-1572). This relation would illuminate and organize such results as Theorems 4.1, 4.2 and 4.4 which give isolated, ad hoc connections between weak convergence of measures and nearness in probability. In the middle of p. 16, it should be noted that C*(S) consists of signed measures which need only be finitely additive if 5 is not compact. On p. 239, where the author twice speaks of separable subsets having nonmeasurable cardinal, he means "discrete" rather than "separable." Theorem 1.4 is Ulam's theorem that a Borel probability on a complete separable metric space is tight. Theorem 1 of Appendix 3 weakens completeness to topological completeness. After mentioning that probabilities on the rationals are tight, the author says it is an

Convergence of probability measures

Naphthalenesulfonamides such as N-(6-amino-hexyl)-5-chloro-1-naphthalenesulfonamide (W-7) are potent calmodulin (CaM) antagonists and act upon several protein kinases at higher concentration. When the naphthalene ring was replaced by isoquinoline, the derivatives were no longer CaM antagonists but retained the ability to inhibit protein kinases, and some of the derivatives exhibited selective inhibition toward a certain protein kinase. cAMP-dependent, cGMP-dependent, and Ca2+-phospholipid-dependent (protein kinase C) protein kinases were inhibited significantly by addition of 10(-6) M N-[2-(methylamino)ethyl]-5-isoquinoline-sulfonamide (H-8) and 1-(5-isoquinolinylsulfonyl)-2-methylpiperazine (H-7). H-8 was the most active of the inhibitors in this series and inhibited more markedly cyclic nucleotide dependent protein kinases, than other kinases, while the derivative with the sulfonylpiperazine residue (H-7) was the most potent in inhibiting protein kinase C. Apparent Ki values of H-8 were 0.48 and 1.2 microM for cGMP-dependent and cAMP-dependent protein kinases, respectively, and the Ki value of H-7 for protein kinase C was 6 microM. Both the holoenzyme and the catalytic subunit (or fragment), which is active without an enzyme activator, are susceptible to these compounds with a similar concentration dependency, thereby indicating that the inhibitory effect is attributed to the direct interaction of the compound with the active center of the enzyme but not with the enzyme activator. The inhibitions were freely reversible and of the competitive type with respect to ATP and of the noncompetitive type with respect to the phosphate acceptor.(ABSTRACT TRUNCATED AT 250 WORDS)

Isoquinolinesulfonamides, novel and potent inhibitors of cyclic nucleotide dependent protein kinase and protein kinase C.

Metal Oxides and Oxysalts as Anode Materials for Li Ion Batteries

Oligonucleotides carrying a ferrocene moiety at their 5'-end were used as a primer of polymerase chain reaction (PCR) and part of the v-myc and muscular dystrophin genes were amplified with them. The PCR products thus obtained were rapidly separated and detected with high sensitivity at femtomole (fmol) level by the HPLC-ECD system. The ECD response for the PCR products was linear over a range of 1 to 1000 fmol. We tried to quantitate the muscular dystrophin gene in a chromosomal sample prepared from leukocytes of healthy men and women, which is located in their X-chromosomes. The quantitative PCR procedure with a ferrocenyl primer gave a 1.4 to 2.0 ratio of the amount of the gene for men to women, which is in reasonable agreement with the expected ratio of 1.0 to 2.0. These results demonstrate that ferrocenyl oligonucleotides serve as a useful tool for DNA analysis.

Quantitative Analysis of the Muscular Dystrophin Gene Using a Polymerase Chain Reaction and High-Performance Liquid Chromatography with Electrochemical Detection

This paper analyzes human capital investment decision and location choice, focusing on the intergenerational interactions within a family in an economy where geographic concentrations of high technology industries and high-level service sectors are proceeding. For highly educated young adults searching for job opportunities is much more frequently accompanied by long distance migrations, sometimes beyond the national border. That discourages parents to invest in human capital for their children. Public human capital investment decision is also discussed.

Family Decision of Investment in Human Capital and Migration in a Model of Spatial Agglomeration

A given metallic oxide film is epitaxially grown on a substrate. Then, the substrate and the metallic oxide film are thermally treated to mix the constituent elements of the substrate with the constituent metallic oxide elements of the metallic oxide film and to form a metallic oxide film of high dielectric constant on the substrate through the mixing of the constituent elements.

Method for fabricating a metallic oxide of high dielectric constant, metallic oxide of high dielectric constant, gate insulating film and semiconductor element

Since the theoretical prediction and experimental observation of the thermal Hall effect of magnons, a variety of novel phenomena that may occur in magnonic systems have been proposed. In this paper, we review the recent advances in the study of topological phases of magnon Bogoliubov-de Gennes (BdG) systems. After giving an overview of the previous works on electronic topological insulators and the thermal Hall effect of magnons, we provide the necessary background for bosonic BdG systems, with a particular emphasis on their non-Hermiticity arising from the diagonalization of the BdG Hamiltonian. After that, we introduce the definitions of $ \mathbb{Z}_2 $ topological invariants for bosonic systems with pseudo-time-reversal symmetry, which ensures the existence of bosonic counterparts of "Kramers pairs". Because of the intrinsic non-Hermiticity of the bosonic BdG systems, these topological invariants have to be defined in terms of the bosonic Berry connection and curvature. We then introduce theoretical models that can be thought of as magnonic analogues of two- and three-dimensional topological insulators in class AII. We demonstrate analytically and numerically that the $ \mathbb{Z}_2 $ topological invariants precisely characterize the presence of gapless edge/surface states. We also predict that bilayer CrI$_3$ with a particular stacking would be an ideal candidate for realization of a two-dimensional magnon system characterized by a nontrivial $ \mathbb{Z}_2 $ topological invariant. For three-dimensional topological magnon systems, the thermal Hall effect of magnons is expected to occur when a magnetic field is applied to the surface.

Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems

A trianionic fluorescent probe, pyranine, was found to bind to positively charged liposomes as evidenced by a linear increase in the fluorescence polarization with the liposome concentration. Addition of perchlorate ion reduced the polarization of fluorescence, suggesting that perchlorate and pyranine compete for the same binding site on the surface of cationic liposomal membranes.

Hiroki Kondo

Papers

Quantitative Analysis of the Muscular Dystrophin Gene Using a Polymerase Chain Reaction and High-Performance Liquid Chromatography with Electrochemical Detection

Family Decision of Investment in Human Capital and Migration in a Model of Spatial Agglomeration

Method for fabricating a metallic oxide of high dielectric constant, metallic oxide of high dielectric constant, gate insulating film and semiconductor element

Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems

Adsorption of Pyranine onto Cationic Liposomal Membranes as Evidenced by Fluorescence Polarizationt