Analysis of the spin structure function g2(x,Q2)g_2(x,Q^2) and twist-3 operators

We discuss the spin-dependent structure function $g_2(x,Q^2)$ in the framework of the operator product expansion. It is noted that the anomalous dimensions and coefficient functions for the twist-3 gluon-field-dependent operators depend on the choice of the operator basis. The role played by the operators proportional to the equation of motion is clarified.Comment: 10 pages, Latex, 1 figure (.ps files) appended after \end{document} as an uuencoded compressed tar fil

The use of the chatter mode in self-adaptive systems

Chatter mode is used advantageously if the ideal model dynamics is described by a switching function, the chatter mode is reached quickly and then sustained, the chatter frequency is reduced, and any zero in the plant transfer function is cancelled

Partial twists and exotic Stein fillings

We give an algorithm which produces infinitely many pairwise exotic Stein fillings of the same contact 3-manifolds, applying positive allowable Lefschetz fibrations over the disk. As a corollary, for a large class of Stein fillings, we realize the topological invariants (i.e. fundamental group, homology group, homology group of the boundary, and intersection form) of each filling as those of infinitely many pairwise exotic Stein fillings. Furthermore, applying the algorithm, we produce various contact 3-manifolds of support genus one each of which admits infinitely many pairwise exotic Stein fillings.Comment: 42 pages, 18 figures, minor improvement

Employment Quota System in Japan

Employment_QuotaJapanNo83.pdf: 2485 downloads, before Oct. 1, 2020