五像限法太阳自动跟踪仪

介绍由两心圆组成的等面积五像限光测量装置工作原理，即当光线与光电池垂直时其投影光斑经过一透镜后正好安全覆盖五片光电池，当光线与光电池成一夹角时，其投影光斑必然发生偏移，将光主在光电池上的偏移转移成光电流差值的变化，实现装置自动跟踪太阳。     

On the geometry of the Batalin–Vilkovisky formalism

In this work it is proved that the geometry of the well-known quantization scheme of general gauge theories, the so-called Batalin–Vilkovisky formalism, is the odd Riemannian geometry. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 28–31, November, 2008.     

联系数中差异度系数i的专家估测法及应用

在联系数中差异度系数i已有取值方法的基础上,给出了差异度系数i的专家估测取值方法、加权统计取值方法和频数统计取值方法以及它们在实际中的应用.     

A general approach to fuzzy concepts

The paper proposes a flexible way to build concepts within fuzzy logic and set theory. The framework is general enough to capture some important particular cases, with their own independent interpretations, like “antitone” or “isotone” concepts constructed from fuzzy binary relations, but also to allow the two universes (of objects and attributes) to be equipped each with its own truth structure. Perhaps the most important feature of our approach is that we do not commit ourselves to any kind of logical connector, covering thus the case of a possibly non‐commutative conjunction too. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

基于模糊语言评估和联系数的多属性群决策方法

对方案的属性评估信息以模糊语言形式给出的多属性群决策问题,采用集对分析理论进行处理,提出了一种基于模糊语言评估和联系数的多属性群决策方法,实例应用表明了该方法的有效性和实用性.     

定域内对称和规范场--为杨-米尔斯场五十周年而作

文章为杨-米尔斯的历史性论文发表50年而写，扼要阐述非阿贝尔规范场理论这篇原创论文的主要思想和它的巨大影响。     

Locally conformally Hermitian-flat manifolds

We introduce the notion of a locally conformally Hermitian-flat manifold and derive a necessary and sufficient condition for a Hermitian manifold to be locally conformally Hermitian-flat. In addition, we construct a family of examples.     

Non-Hermitian Yang-Mills connections

We study Yang-Mills connections on holomorphic bundles over complex K?hler manifolds of arbitrary dimension, in the spirit of Hitchin's and Simpson's study of flat connections. The space of non-Hermitian Yang-Mills (NHYM) connections has dimension twice the space of Hermitian Yang-Mills connections, and is locally isomorphic to the complexification of the space of Hermitian Yang-Mills connections (which is, by Uhlenbeck and Yau, the same as the space of stable bundles). Further, we study the NHYM connections over hyperk?hler manifolds. We construct direct and inverse twistor transform from NHYM bundles on a hyperk?hler manifold to holomorphic bundles over its twistor space. We study the stability and the modular properties of holomorphic bundles over twistor spaces, and prove that work of Li and Yau, giving the notion of stability for bundles over non-K?hler manifolds, can be applied to the twistors. We identify locally the following two spaces: the space of stable holomorphic bundles on a twistor space of a hyperk?hler manifold and the space of rational curves in the twistor space of the ‘Mukai’ dual hyperk?hler manifold.     

On the connection between harmonic maps and the self-dual Yang—Mills and the sine-Gordon equations

This is an algebraic paper which demonstrates some algebraic connections between the Yang—Mills and the sine-Gordon equation.     

Affine surfaces in R 4 with planar geodesics with respect to the affine metric

It is proved that non-degenerate surfaces in R ⁴ with planar geodesics are only the complex paraboloid and the product of two parabolas. An erratum to this article is available at .