Uniqueness of the standard model neutral current predictions

In view of an excellent agreement between the recently determinedv _μ-hadron couplings and predictions of the standard model, the basic question discussed is how far its neutral current predictions can be mimiced in going either from the isodoublet to an isotriplet (or an even higher isospin) left-handed representation or from SU _L (2) × U(1) toG × U(1), whereG is a simple group of rank two. This question is addressed with reference to a sufficiently broad class of schemes. Their most distinctive properties are: in the higher isospin scheme, neutrino couplings are precisely in the form obtainable with standard l.h. representation; the higher g.g. scheme isL+R type in which, to each light fermion of evenRU parity, a superheavy fermion of the same charge and oddRU parity is associated, parity conservation forbidding their mixing. Reasons for excluding theL-type andG ₂ higher g.g. schemes are given. Their neutral current predictions are compared with those of the standard model. A higher isospin representation can mimic the predictions of the standard model in inclusive and semi-inclusivev _μ-hadron reactions but is conclusively discriminated from the isodoublet representation by elasticv _μ ⁽⁻ p scattering. TheG × U(1) scheme can mimic standard model neutrino sector but is conclusively discriminated from minimal scheme by parity violating effects.     

构造一种与置换群成反同构的群

通过对中国古代一种游戏的讨论,建立了数学模型,从而构造了一种与置换群成反同构的互换群,得到一些有趣的结果     

再论Mobius变换中的n阶循环群判据

用二阶方阵的幂运算取代Mobius变换的迭代运算,导出了Mobius变换为n阶循环群的判据,并对判据进行了简化,最后给出了它们的应用.     

浙江省不同演替阶段的低海拔次生林植物功能群结构的比较研究

选取浙江省低海拔地区的16个次生林样地并调查其中胸径（DBH）≥1 cm的木本植物.通过观察群落外貌,结合数量分类方法（TWINSPAN）和排序方法（DCA）,将这些样地划分为4种演替阶段的森林类型（马尾松林,马尾松针阔叶混交林,演替早期常绿阔叶林,演替中期常绿阔叶林）.分析了不同演替阶段的次生林群落物种多样性和植物功能群结构组成变化.结果显示：（1） 适度择伐进入采伐期的马尾松可加速整个群落向常绿阔叶林演替;（2） 随着演替的进行,物种丰富度、Shannon Wiener指数、Simpson指数和Pielou均匀度指数均呈现增加趋势;（3） 按生活型、生长型、叶的生活期和对光的耐受性这4种功能群划分,所有样地分别以小高位芽植物和中高位芽植物、乔木和灌木或小乔木、常绿植物和耐阴植物占优;（4） 随着演替的进行,功能群结构比例呈现先降后升再降的是矮高位芽植物,先降后升的为小高位芽植物,呈现先升后降的为大高位芽植物、灌木、乔木、小乔木、常绿植物、阴性植物呈现上升趋势,落叶植物和阳性植物呈现下降趋势,而中高位芽植物、灌木或小乔木、耐阴植物则维持相对恒定的比例.     

时差法超声流量计瞬时流速动态跟踪算法

时差法超声流量计由于受到功耗的限制, 在时间差的测量中不能采用很高的采样频率. 但在实际流量测量中存在着流体流速会突变的现象, 这样在低流速分辨率情况下就会引起流速测量不能实时跟踪而造成较大计量误差, 也就影响了其相应的计量精度和系统稳定性. 因此对时差法超声流量计瞬时流速动态的跟踪问题进行探讨, 设计出瞬时流速动态跟踪算法. 经过实验验证, 所设计的动态跟踪算法可以使超声流量计的计量精度提高0.4%左右, 重复性提高0.05%左右, 而系统功耗几乎没有大的变化.     

von Neumann群代数

设G是带左正则表示λ的一个离散群, VN（G）是λ（g）生成的von Neumann群代数。我们刻画了von Neu-mann群代数上的Hardy空间。     

离散交换群上Toeplitz算子代数的一个正合列

在引进几乎不变子集的基础上定义一般的离散交换群上的广义Toeplitz算子,研究该算子的一些性质,得到了几乎不变子集的一个刻画以及由该广义Toeplitz算子生成的C*-代数的一个正合序列。     

Efficiency of connected binary block designs when a single observation is unavailable

In this paper the problem of finding the design efficiency is considered when a single observation is unavailable in a connected binary block design. The explicit expression of efficiency is found for the resulting design when the original design is a balanced incomplete block design or a group divisible, singular or semiregular or regular with ₁>0, design. The efficiency does not depend on the position of the unavailable observation. For a regular group divisible design with ₁>0, the efficiency depends on the position of the unavailable observation. The bounds, both lower and upper, on the efficiency are given in this situation. The efficiencies of designs resulting from a balanced incomplete block design and a group divisible design are in fact high when a single observation is unavailable.The work of the first author is sponsored by the Air Force Office of Scientific Research under Grant AFOSR-90-0092.On leave from Indian Statistical Institute, Calcutta, India. The work of the third author was supported by a grant from the CMDS, Indian Institute of Management, Calcutta.     

Assembly maps,K-theory, and hyperbolic groups

Following Connes and Moscovici, we show that the Baum-Connes assembly map forK _*(C*v) is rationally injective when is word-hyperbolic, implying the Equivariant Novikov conjecture for such groups. Using this result in topologicalK-theory and Borel-Karoubi regulators, we also show that the corresponding generalized assembly map in algebraicK-theory is rationally injective.     

K-theory for finite covariant systems

LetA be a real or complex Banach algebra and assume that is an action of a finite groupG onA by means of continuous automorphisms. To such a finite covariant system (A, G, ), we associate an Abelian groupK(A, G, ). We obtain some classical exact sequences for an algebraA and a closed invariant idealI. We also compute the group in a few important special cases. Doing so, we relate our new invariant to the classicalK ₀ andK ₁ of a Banach algebra and to theK-theory of ₂-graded Banach algebras. Finally, we obtain a result that gives a close relationship of our groupK(A, G, ) with theK-theory of the crossed productA G. In particular, we prove a six-term exact sequence involving our groupK(A, G, ) and theK-groups ofA G. In this way, we hope to contribute to the well-known problem of finding theK-theory of the crossed productA G in the case of an action of a finite group.