A family of quantum projective spaces and related -hypergeometric orthogonal polynomials

A one-parameter family of two-sided coideals in is defined and the corresponding algebras of infinitesimally right invariant functions on the quantum unitary group are studied. The Plancherel decomposition of these algebras with respect to the natural transitive -action is shown to be the same as in the case of a complex projective space. By computing the radial part of a suitable Casimir operator, we identify the zonal spherical functions (i.e. infinitesimally bi-invariant matrix coefficients of finite-dimensional irreducible representations) as Askey-Wilson polynomials containing two continuous and one discrete parameter. In certain limit cases, the zonal spherical functions are expressed as big and little -Jacobi polynomials depending on one discrete parameter.

     

关于Smarandache素数列及其它的行列式

对任意正整数n≥2,Smarandache下素数列{pp(n))定义为小于或等于n的最大素数;而Smarandache上素数列{Pp(n))表示大于或等于n的最小素数.本文的主要目的是利用初等方法研究Smarandache素数列的性质,并得到由Smarandache素数列组成的行列式的一些性质.     

On the isolated points of the surjective spectrum of a bounded operator

For a bounded operator acting on a complex Banach space, we show that if is not surjective, then is an isolated point of the surjective spectrum of if and only if , where is the quasinilpotent part of and is the analytic core for . Moreover, we study the operators for which . We show that for each of these operators , there exists a finite set consisting of Riesz points for such that and is connected, and derive some consequences.

     

Geometric Generalizations in Kresin–Maz’ya Sharp Real-Part Theorems

In the present article we present some geometric generalizations of the estimates from Chapters 5,6,7 of the monograph [7]. Received: July 24, 2007. Revised: October 27, 2007.     

基于微量热法的板蓝根提取方法和活性部位挑选

应用TAM Air微量热系统, 采用微量热法, 考察不同提取方法的板蓝根水煎液及其化学萃取部位在37 ℃时, 对大肠杆菌生长代谢的影响. 结合中医药理论, 分析板蓝根水煎液及其化学萃取部分的药效作用及其差异, 挑选板蓝根药材最佳的提取方法和抑菌最强的活性部位, 并采用试管稀释法求出抑菌活性最强部位的最小抑菌浓度(MIC). 结果表明微量热法可用于常用中药——板蓝根的提取方法和活性部位的挑选, 为进一步研究中药的药性基础提供了一种新的、快速灵敏的技术和方法.     

Analysis of Off-Axial Optical Systems (1)

We have established a new method of aberration analysis for off-axial optical systems which are generalized concepts of co-axial optical systems, by introducing two kinds of newly defined 4-element vectors and expanding these vectors with the help of tensor algebra. In this method, since aberration properties are represented in tensor form, we can easily formulate the aberration relations between different azimuths. We can then evaluate the azimuth dependence of aberration properties in greater detail by separating them into inherent optical properties parts, which are independent of azimuths, and the paraxial ray-tracing part, which includes the expression of the evaluation azimuth.     

小Bond数条件下圆柱贮箱中液体晃动的模部分析

运用模部分析方法考察了小Bond数条件下圆柱贮箱中弯曲静液面对液体晃动模态的重构作用.研究表明,圆柱贮箱中的液体作小幅晃动时,参与晃动的各阶基本模态的正交性若仅由Bessel模部来给出,则弯曲静液面将使各阶模态加权耦合,形成新的特征模态;参与晃动的各阶基本模态的正交性若由三角函数模部来给出,则弯曲静液面将独立改变各阶模态的固有频率,各阶模态之间不耦合.运用新的重构模态来研究圆柱贮箱中液体的横向受迫晃动,给出了其模态选择特征.     

Modal part analysis of slosh of the liquid in a cylindrical container in the case of small bond number

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循环圈的连通度

设G＝C_n（i₁,i₂,…,i_r）是连通循环圈,且k（G）＜δ（G）．本文得到了其连通度的明确表达式κ(G)=min{m|M(n/m,K)|:m是n的真因子,且|M(n/m,K)|相似文献   

制冷系统可燃工质泄漏喷射过程的模拟研究

本文提出了制冷系统气相可燃工质泄漏量的计算方法。并根据射流原理,对可燃工质泄漏过程的速度场与浓度场进行了模拟计算。根据计算结果提出了局部着火与爆炸的概念。