Nonstandard Analysis Methods for Separations in[0,1]-topological Spaces

In nonstandard enlargement,the separations are characterized by nonstandard analysis methods in[0,l]-topological spaces.Firstly,the monads of fuzzy point in[0,l]-topological spaces are described with remote-neighborhoods in nonstandard enlarged model.Then the nonstandard characterizations of separations in [0,l]-topological space are given by the monads.At last,relations of these separations are investigated.     

Mathematical concepts and their physical foundation in the nonstandard analysis theory of turbulence

Main mathematical concepts and their physical foundation in the nonstandard analysis theory of turbulence are presented and discussed. The underlying fact is that there does not exist the absolute zero fluid-volume. Therefore, the physical object corresponding to the absolute point is just the uniform fluid-particle. The fluid-particle, in general, corresponds to the monad. The uniform fluid-particle corresponds to the uniform monad, while the nonuniform fluid-particle to the nonuniform monad. There are two kinds of the differentiations, one is based on the absolute point, and the other based on the monad. The former is adopted in the Navier--Stokes equations, and the latter in the fundamental equations presented in this paper for the nonstandard analysis theory of turbulence. The continuity of fluid is elucidated by virtue of the concepts of the fluid-particle and fluid-particle at a lower level. Furthermore, the characters of the continuity in two cases, i.e. in the standard and nonstandard analyses, are presented in this paper. And the difference in discretization between the Navier--Stokes equations and the fundamental equations given herein is also pointed out.     

Thiethan-1-N-arylimide und ihre Umlagerung zu N-Aryl-1,2-thiazolidinen

Reaction of thiethanes with anilines andtert.butyl hypochlorite results in the formation of thietane-1-N-arylimides which rearrange thermally with ring enlargement to giveN-aryl-1,2-thiazolidines in high yields.

Herrn o. Univ.-Prof. Dr.K. Kratzl zum 70. Geburtstag gewidmet.     

一种新的合成12-氧代-1,15-十五内酰胺的方法

设计了一种新的合成12-氧代-1,15-十五内酰胺(4)的方法, 即以α-硝基环十二酮(1)为原料, 经与丙烯腈的Michael加成, 氰基选择性还原为氨基后扩环, 再经Nef反应合成了4, 总收率为28%.     

Study on the Ring Eulargment Reaction: Synthesis of 7,8,13, 13a-tetrahydroisoindolo[1,2-b][3]benzazepine and 5,6,8,9,14,14a-hexahydroisoquino[1,2-b][3]benzazepine

In our research on the ring enlargement of certain N-heterocycles, a general procedure for the ring enlargement with the insertion of an extra -CH2- was improved and shown in Scheme I1.Scheme IThe procedure had been carried out with such N-heterocycles as 2-methyl-1,2,3,4-tetrahydroisoquinoline2, tetrahydroberberine and strychnine3 with expected results. Thus, the procedure shown in Scheme I provides a new approach to the synthesis of larger N-heterocycles.Isoindolo[1,2-b][3]benzazepines a…     

Low-Lying Pentaquark Baryons in Pseudoscalar-Vector SU(3) Skyrme Model

For the first time the low-lying J = 1/2 pentaquark states are investigated in the pseudoscalar-vector Skyrme model. Once the conventional baryon properties are fit, other states are predicted without any more adjustable parameters. Furthermore, both symmetry-breaking and decay operators are treated in full. In particular, we focus on the calculations of mass and decay width, and compare them with the experimental data available and relevant theoretical results obtained in other pictures. We recognize that the higher-order contributions, such as the 35 and/or (-35) representation admixtures, are not negligible. Our analysis provides some valuable clues to the physical mechanisms, and the oncoming experimental search and/or confirmation could provide a sharp test of our proposal.     

New quantum codes from evaluation and matrix-product codes

Stabilizer codes obtained via the CSS code construction and the Steane's enlargement of subfield-subcodes and matrix-product codes coming from generalized Reed–Muller, hyperbolic and affine variety codes are studied. Stabilizer codes with good quantum parameters are supplied; in particular, some binary codes of lengths 127 and 128 improve the parameters of the codes in http://www.codetables.de. Moreover, non-binary codes are presented either with parameters better than or equal to the quantum codes obtained from BCH codes by La Guardia or with lengths that cannot be reached by them.