Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures

Let μ be a finite positive Borel measure with compact support consisting of an interval plus a set of isolated points in , such that μ^′>0 almost everywhere on [c,d]. Let , be a sequence of polynomials, , with real coefficients whose zeros lie outside the smallest interval containing the support of μ. We prove ratio and relative asymptotics of sequences of orthogonal polynomials with respect to varying measures of the form dμ/w_2n. In particular, we obtain an analogue for varying measures of Denisov's extension of Rakhmanov's theorem on ratio asymptotics. These results on varying measures are applied to obtain ratio asymptotics for orthogonal polynomials with respect to fixed measures on the unit circle and for multi-orthogonal polynomials in which the measures involved are of the type described above.     

A novel spectrophotometric method for the simultaneous kinetic analysis of ternary mixtures by mean centering of ratio kinetic profiles

In this paper, a novel and very simple method was developed for the simultaneous spectrophotometric determination of ternary mixtures, without prior separation steps. The method is based on the mean centering of ratio kinetic profiles. The mathematical explanation of the procedure is illustrated. In order to investigate the applicability of the proposed method, it was applied to the simultaneous spectrophotometric determination of hydrazine, phenylhydrazine and acetylhydrazine based on their condensation reactions with p-(dimethylamino)benzaldehyde (DAB) and p-nitrobenzaldehyde (NB) in micellar sodium dodecyl sulfate (SDS) media as a typical ternary mixture. The analytical characteristics of the method such as accuracy, precision, relative standard deviation (R.S.D.) and relative standard error (R.S.E.) were calculated.     

比值光谱法在复方药物制剂分析中的应用研究

根据比值光谱的特征,选择比值光谱的峰点或谷点处作为测定波长对,研究建立了复方氯唑沙宗片和安钠咖注射液的比值光谱测定法。复方氯唑沙宗片中氯唑沙宗和对乙酰氨基酚的平均回收率和相对标准偏差分别为100.0%,1.28%和100.0%,0.84%。安钠咖注射液中咖啡因和苯甲酸钠的平均回收率和相对标准偏差分别99.98%,0.70% 和99.91%,0.78%。说明只要复方药物制剂中两组分的比值光谱至少出现一峰一谷, 通过选择适当的测定波长对,此法就可获得满意结果。     

Application of A New Spectrophotometric Method Manipulating Ratio Spectra for Determination of Bambuterol Hydrochloride in the Presence of Its Degradation Product Terbutaline

A simple,specific,accurate and precise spectrophotometric stability indicating method is developed for determination of bambuterol hydrochloride(BH)in the presence of its degradation product terbutaline(TERB)and in pharmaceutical formulations.A newly developed spectrophotometric method called ratio difference method by measuring the difference in amplitudes between 245 and 260nm of ratio spectra.The calibration curves are linear over the concentration range of 0.1~1mg·mL-1 for BH and 0.1~0.7mg·mL-1 for TERB with mean percentage recovery of 100.56±0.751 and 99.88±1.183,respectively.The selectivity of the proposed method is checked using laboratory prepared mixtures.The proposed method has been successfully applied to the analysis of BH in pharmaceutical dosage forms without interference from other dosage form additives and the results have been statistically compared with pharmacopeial method.     

PHOTOPOLYMERS: SYNTHESIS AND CHARACTERIZATION OF POLY(4-CINNA-MOYLPHENYL METHACRYLATE) WITH GLYCIDYL METHACRYLATE

Copolymers of 4-cinnmoylphenyl methacrylate (CPMA) with glycidyl methacrylate were synthesized in methyl ethyl ketone solution using benzoyl peroxide as initiator at 70 ± 1°C. They were characterized by UV, IR, ¹H-NMR, and ¹³C-NMR spectra. Their compositions were determined by ¹H-NMR technique. The monomer reactivity ratios were determined by the Fineman-Ross and Kelen-Tüdös methods. The molecular weights ([Mbar]_w and [Mbar]_n) of the polymers were determined by GPC technique. Thermogravimetric analysis of the copolymers were carried out in air. The T_g of the polymers were determined by differential scanning calorimetry. The photocrosslinking properties of the homo and copolymers were also discussed.     

DTAB-月桂酸钠体系表面活性剂双水相研究

绘制和分析了十二烷基三甲基溴化铵（DTAB） 月桂酸钠（SL）组成的表面活性剂混合体系相图,系统研究了温度和无机盐等因素对该体系表面活性剂双水相 (ASTP) 影响的规律性.结果表明:与富含负离子表面活性剂双水相 (ASTP A) 相比较,富含正离子表面活性剂双水相(ASTP C)区域更大、更稳定;温度升高,无机盐(NaBr)的浓度增大,都引起 ASTP 体系上相体积的减小和下相体积的增加;囊泡普遍存在于ASTP的上下相之中.     

用于机载激光雷达偏振通道增益比测量的1/2波片优化设计

 利用平面平行板模型和晶体膜层理论,定量分析了偏振光通过1/2波片时偏振平行分量和偏振垂直分量透过率的比值与晶体厚度的关系,对用于机载激光雷达偏振通道增益比测量的1/2石英波片和1/2方解石波片的最佳加工厚度和合适的厚度加工区域进行了定量计算和探讨,指出了不适合加工的晶体厚度区域。回波信号的偏振化方向与1/2波片的光轴方向平行和垂直时分别测得的增益比值存在一定的差异,利用这两个增益比值反演得到的沙尘退偏振比,其最大相对误差在20％左右。     

应用于助听器反馈抑制的信噪比自适应滤波算法

针对基于自适应滤波器的助听器反馈抑制系统,该文提出了一种基于信噪比的归一化最小均方误差算法,采用最小值统计法估计误差信号的噪声分量,从而计算出误差信号的信噪比来计算自适应滤波系数的更新步长。当误差信号信噪比越高,语声占主要成分,信号的相关性越强,此时将滤波器的更新步长控制在较小值,减小滤波器的失调量;当信噪比越低时,噪声占主要成分,信号的相关性相对较弱,更新步长取较大值,加快滤波器的收敛速度。在仿真实验中,该文提出的基于信噪比的归一化最小均方误差算法相较于传统算法在平均稳态失调量和稳态失调范围上分别低1 dB和2 dB,其最大稳态增益提高了4 dB,同时具有更快的稳态收敛速度,验证了该文提出算法的有效性。     

Measurements of the sideband conversion gain ratio of a millimeter-wave heterodyne sub-harmonic mixer using a fourier transform spectrometer

A Fourier transform spectrometer, based on a Martin-Puplett polarisation rotation interferometer and using broad-band blackbody noise sources, has been used to study the sideband response i.e., conversion gain, of a room temperature Schottky diode sub-harmonic mixer operating at 300 GHz. The technique enables the response of the mixer to be characterised and preferentially tuned to one sideband, thereby improving the rejection of unwanted spectral components which can be present in the mixer image sideband.     

商业银行资产负债比例管理绩效综合评价的AHP模型研究

对商业银行资产负债比例管理绩效进行综合评价，是商业银行提高经营管理水平和中央银行实施货币政策目标的双重需要．本文主要讨论了运用层次分析法对其进行综合评价的程序及模型，并对该程序、模型的适用性进行了实证分析．