布兰特与罗尔斯的正义之争

正义是一个古老的命题,功利主义者常常因其对待正义或公正这一问题的态度而受到指责,现代正义巨擘罗尔斯从三个方面对功利主义的原则作了系统的批评,面对罗尔斯的批评,准则功利主义者布兰特作了有力的反驳,并对罗尔斯的正义原则合理性问题提出了置疑,同时提出了自己关于正义问题的合理主张。     

俄罗斯鲟配合饲料蛋白质最适水平的研究

研究了配合饲料中不同蛋白质水平对俄罗斯鲟（Acipenser gueldenstaedti Brandt）生长的影响,实验共设5组,其蛋白质水平分别为：34．26％、36．54％、39．25％、42．34％、45．03％．在水温12-24℃（平均水温19．5℃）条件下经过60d的饲养实验,结果得出,在蛋白质水平为39．25％的配合饲料组中,俄罗斯鲟的相对增重率为71.42％、体长相对增长率为19．22％、饵料系数为1．74等指标均为本次实验组中最佳．经回归方程计算分析,俄罗斯鲟成鱼养殖所用的人工配合饲料中最适蛋白质水平应为38％-41％．     

Affine Near-Semirings Over Brandt Semigroups

In order to study the structure of A ⁺(B _n )—the affine near-semiring over a Brandt semigroup—this work completely characterizes the Green's classes of its semigroup reducts. In this connection, this work classifies the elements of A ⁺(B _n ) and reports the size of A ⁺(B _n ). Further, idempotents and regular elements of the semigroup reducts of A ⁺(B _n ) have also been characterized and studied some relevant semigroups in A ⁺(B _n ).     

广义Brandt半群结构定理的新证明

本文对一类重要的纯正半群－－广义Ｂｒａｎｄｔ半群的结构定理，给出了一个简捷的新证明。     

Quaternionic Manin symbols, Brandt matrices, and Hilbert modular forms

In this paper, we propose a generalization of the algorithm we developed previously. Along the way, we also develop a theory of quaternionic -symbols whose definition bears some resemblance to the classical -symbols, except for their combinatorial nature. The theory gives a more efficient way to compute Hilbert modular forms over totally real number fields, especially quadratic fields, and we have illustrated it with several examples. Namely, we have computed all the newforms of prime levels of norm less than 100 over the quadratic fields and , and whose Fourier coefficients are rational or are defined over a quadratic field.

     

关于0-并半格及其Munn半群

本文讨论0-匀称半格及0-并半格,并讨论了0-并半格的Munn半群和Brandt的关系。     

Brandt半群的正规子半群与自同态

该文从Brandt半群B=B（G,J）的真同余出发,研究了B（G,J）的正规子半群与自同态,进而刻划出Brandt半群上所有的正规子半群与所有的自同态．     

π-逆半群剩余的有限性

剩余有限性是半群中比较重要的有限性条件之一，它和算法问题紧密相关．研究了π—逆半群的剩余有限性，证明了：若一个π—逆半群是剩余有限的，则每个主因子要么是零积半群，要么是带零群，要么是Brandt半群；刻画了π—逆半群的主因子的剩余有限性；同时得到了π—逆半群是剩余有限的一个充分条件．     

Weyl equivalence for rank 2 Nichols algebras of diagonal type

Yetter-Drinfel'd modules of diagonal type admit an equivalence relation which preserves dimension and Gel'fand-Kirillov dimension of the corresponding Nichols algebras. This relation is determined explicity for all rank 2 Yetter-Drinfel'd modules where the Gel'fand-Kirillov dimension is known to be finite. Supported by the European Community under a Marie Curie Intra-European Fellowship.     

A formula for multiple classifiers in data mining based on Brandt semigroups

A general approach to designing multiple classifiers represents them as a combination of several binary classifiers in order to enable correction of classification errors and increase reliability. This method is explained, for example, in Witten and Frank (Data Mining: Practical Machine Learning Tools and Techniques, 2005, Sect. 7.5). The aim of this paper is to investigate representations of this sort based on Brandt semigroups. We give a formula for the maximum number of errors of binary classifiers, which can be corrected by a multiple classifier of this type. Examples show that our formula does not carry over to larger classes of semigroups.