Almost all standard Lagrangian tori in C^n are not Hamiltonian volume minimizing

In 1993, Y.-G. Oh proposed a problem whether standard Lagrangian tori in C^n are volume minimizing under Hamiltonian isotopies of C^n. In this article, we prove that most of them do not have such property if the dimension n is greater than two. We also discuss the existence of Hamiltonian non-volume minimizing Lagrangian torus orbits of compact toric Kahler manifolds.Comment: This paper has been withdrawn, as it is now incorporated into arXiv:1512.0194

Non-Abelian Discrete Symmetries in Particle Physics

We review pedagogically non-Abelian discrete groups, which play an important role in the particle physics. We show group-theoretical aspects for many concrete groups, such as representations, their tensor products. We explain how to derive, conjugacy classes, characters, representations, and tensor products for these groups (with a finite number). We discussed them explicitly for $S_N$, $A_N$, $T'$, $D_N$, $Q_N$, $\Sigma(2N^2)$, $\Delta(3N^2)$, $T_7$, $\Sigma(3N^3)$ and $\Delta(6N^2)$, which have been applied for model building in the particle physics. We also present typical flavor models by using $A_4$, $S_4$, and $\Delta (54)$ groups. Breaking patterns of discrete groups and decompositions of multiplets are important for applications of the non-Abelian discrete symmetry. We discuss these breaking patterns of the non-Abelian discrete group, which are a powerful tool for model buildings. We also review briefly about anomalies of non-Abelian discrete symmetries by using the path integral approach.Comment: 179 pages, 8 figures, section 15 is changed, some references are adde

Roll in/out and Usage of Large Capacity Core Memory in a Time-sharing System

In this paper the analysis of roll in/out operation and the usage of large capacity core memory (LCM) in a time-sharing system (TSS) are described. A TSS model based on a few assumptions is proposed, and the relation between roll in/out and system performance is analyzed. The system is classified into two types, i.e. swapping limited and CPU limited, according to whether the maximum system performance is restricted by capability of swapping devices or central processing units, and using LCM in TSS is very effective for the swapping limited case because of decrease of system overhead due to roll in/out operation and increase of system performance. The usage of LCM is divided into two main classes, i.e. as roll-out area and roll-in area, and a system model with LCM is analyzed and discussed in each class. One of the typical cases of using LCM as roll-in area is the implementation of conversational language in interpretive mode, then, the condition on which the interpreter program using LCM is operated in swapping limited state in spite of decrease of swapping overhead and increase of CPU time is obtained, and a numerical example is showed. Finally, an optimum algorithm for the use of LCM, which betters system performance in man-computer communication, is suggested

A note on premature deindustrialization

Industrialization has long been regarded as an engine of economic growth. Indeed, the countries that experienced rapid economic growth in the latter half of 20th century underwent significant economic structural change towards industrialization. In contrast, in the 21st century, latecomers might face difficulty realizing the industrialization required for economic growth because of a phenomenon called ‘premature deindustrialization’ taking place in those countries. This issue of premature deindustrialization, if it holds true, raises important questions, such as what its mechanism is, what its effects are, and what the alternative strategies for economic growth are. This paper, as a stepping stone to consider these issues, uses expanded samples to examine and confirm the occurrence of premature deindustrialization