Idling magnetic white dwarf in the synchronizing polar BY Cam. The Noah-2 project

A multi-color study of the variability of the magnetic cataclysmic variable BY Cam is presented. The observations were obtained at the Korean 1.8 m and Ukrainian 2.6 m, 1.2 m and 38 cm telescopes in 2003–2005, 56 observational runs cover 189 hours. The variations of the mean brightness in different colors are correlated with a slope dR/dV = 1:29(4), where the number in brackets denotes the error estimates in the last digits. For individual runs, this slope is much smaller ranging from 0.98(3) to 1.24(3), with a mean value of 1.11(1). Near the maximum, the slope becomes smaller for some nights, indicating more “blue” spectral energy distribution, whereas the night-to-night variability has an “infrared” character. For the simultaneous UBVRI photometry, the slopes increase with wavelength from dU/dR = 0:23(1) to dI/dR = 1:18(1). Such wavelength dependence is the opposite of that observed in non-magnetic cataclysmic variables, in agreement with the model of cyclotron emission. The principal component analysis shows two components of variablitity with different spectral energy distributions (with a third at the limit of detection), which possibly correspond to different regions of emission. The highest peak in the scalegram analysis corresponds to the 200 min spin variability, its quarter and to the 30 min and 8 min QPOs. The amplitudes of these components are dependent on wavelength and luminosity state. The light curves were fitted by a statistically optimal trigonometrical polynomial (up to 4th order) to take into account a 4-hump structure. The dependences of these parameters on the phase of the beat period and on mean brightness are discussed. The amplitude of spin variations increases with an increasing wavelength and with decreasing brightness. The linear ephemeris based on 46 mean minima for 2003–2005 is HJD 2453213:010(3) + 0:137123(3)E: The extensive tables of the original observations and of results of analysis are published in an electronic form. The nearby star GSC 4081–1562 was found to be an eclipsing red variable.      

某类解析函数的Fekete-szegoe问题

引入某族定义在单位圆内的解析函数K（λ，β），它是卢型近于凸函数族的推广类。讨论了该族函数的Fekete-Szegoe问题，得到其Fekete-Szegoe不等式并证明了在一定条件下结果是准确的。     

一类$R^{N}(N\geq 3)$上奇异非线性双调和方程正整解

建立了RN(N≥3)上一类奇异非线性双调和方程正的径向对称整体解的存在定理,并给出了解的有关性质,推广了相关文献的结果.     

Cross sections for rotational excitation in He－H2 collisions

Close coupling calculations have been carried out for rotational excitations in He－H₂ collisions with symmetric isotopic substitution (He－H₂, D₂, T₂) and asymmetric isotopic substitution (He－HD, HT, DT). Cross sections have been obtained at the incidence energy of 0.3eV. Based on the calculations, the effect of isotopic substitution on atom－diatom collisions is discussed.     

升级的合肥光源闭轨测量系统及其应用

 描述了合肥同步辐射光源二期工程中，电子储存环升级的闭轨测量系统及其在设备研制中的应用。介绍了性能稳定可靠的Bergoz束流位置监测电子学信号处理器。升级后的闭轨测量系统中处理电子学电路的束流位置分辨率可达1μm，系统误差小于10μm。整个测试系统的分辨率小于3μm。利用该高精度闭轨测量系统和基于束流准直系统完成了束流准直四极铁磁中心的测量，并和控制系统完成了储存环全环闭轨反馈校正试验。一个完整的束流位置监测系统已投入了在线运行，保障了为用户提供高稳定高品质的光源。     

大数阶乘和大指数整数幂的计算

结合科学计数法和尺度变换技巧,设计一定精度下大数阶乘的计算方法,并将其拓展至指数较大的整数幂运算,从而当n较大时可正确计算二项概率C（n,k）pk（1-p）n-k（k=0,1,…,n,0〈p〈1）.     

带启动-关闭期的多重休假M/G/1排队系统的队长分布

研究带启动—关闭期的多重休假M/G/1排队系统,讨论了队长的瞬态和稳态性质.通过引进的"服务员忙期"和使用全概率分解技术,导出了在任意时刻t队长的瞬态分布的L变换的递推表达式和稳态队长分布的递推表达式,以及稳态队长的随机分解结果.     

数字束流位置信号处理算法优化

在已有束流位置信号下变频算法的设计与实现的基础上,优化了算法时序,设计实现了数字自动增益控制、慢应用信号处理等模块功能,能获得逐圈、快应用及闭轨数据。上海光源储存环上的束流测试结果显示,处理器可正确获取包含束流真实运动的多速率位置数据。在174 mA储存环流强、500个束团的填充模式时,逐圈位置数据分辨力达到0.84 m,快应用位置数据分辨力达到0.44 m,闭轨位置数据分辨力达到0.23 m,性能满足设计要求。     

多重超平面完备残差图

本文研究了任意维超平面完备残差图和多重超平面完备残差图,将Erd¨os、Harary和Klawe’s定义的平面残差图推广到任意维超平面.利用容斥原理以及集合的运算性质等方法,获得了任意维超平面完备残差图的最小阶和唯一极图,以及任意维超平面完备残差图的一个重要性质,同时获得了多重任意维超平面完备残差图的最小阶和唯一极图.     

ON A SUBCLASS OF CLOSE TO CONVEX FUNCTIONS

Let C ′(α,β) be the class of functions f(z)=(a~nz~n)from n=2 to ∞ analytic in D ={z:|z|1},satisfying for some convex function g(z) with g(0) = g ′(0) ? 1 = 0 and for all z in D the condition ((zf′(z))/(g(z))-1)/(((zf′(z))/(g(z))+(1-2a))β for some α,β(0≤α1,0β≤1).A sharp coefficient estimate,distortion theorems and radius of convexity are determined for the class C ′(α,β).The results extend the work of C.Selvaraj.