调和单叶函数族的一些结果

借用著名的Ruscheweyh导数,引入了一类单叶保向调和函数族. 通过建立极值理论,得到了关联该族的最优系数边界、最优增长定理和最优偏差定理. 同时,给出了该族与先前已有调和函数族之间的转换半径. 最后,讨论了基于该族的修正哈达玛乘积结果.     

Investigation of glucose concentration measurement based on tunable pulsed laser induced photoacoustic technique

A tunable pulsed laser induced photoacoustic （PA） measurement set-up is established in the forward mode to monitor in vitro glucose concentration. A series of experiments are investigated to verify the feasibility of this set-up and scheme. Peak-to-peak values （PPVs） of several glucose aqueous solutions are recorded and averaged 512 times at each wavelength. Experimental results demonstrate that the time-resolved PA profile of glucose solutions has a good agreement with the PA theories. The characteristic wavelengths of glucose solution are determined via differential method. The root-mean-square error （RMSE） of predicted concentration reaches 3.15 mg/dl at the optimum wavelength of 1 510 nm via least square （LS） fitting algorithm.     

基于近红外光谱和变量优选的棉麻混纺织物棉含量快速检测

纺织品纤维成分的快速检测对其生产过程质量监控、贸易和市场监督均具有重要的意义。利用近红外光谱技术联合变量优选对棉麻混纺织物中的棉含量进行快速检测研究。采用NIRFlex N-500型傅里叶近红外光谱仪在4 000～10 000 cm-1光谱范围内采集样本的反射光谱,对样本光谱进行范围初选和预处理分析。在此基础上,利用UVE(uninformative variables elimination),SPA(successive projections algorithm)及CARS (competitive adaptive reweighted sampling)方法对光谱变量进行优选,再应用PLS(partial least squares)建立棉麻混纺织物中的棉含量预测模型。最后,采用最优预测模型对未参与建模的样本进行预测。研究结果表明,4 052～8 000 cm-1光谱范围为棉含量较优的建模光谱范围。CARS变量选择方法能较为有效地提高预测模型的精度,CARS-PLS模型的校正集、预测集相关系数和均方根误差分别为0.903,0.749和8.01%,12.93%。因此,近红外光谱联合CARS变量优选可以用于棉麻混纺织物棉含量的快速检测,CARS方法可以有效简化预测模型,提高预测模型性能。     

旅游目的地品牌忠诚维度模型及应用

品牌忠诚的建立是品牌塑造的关键所在,对旅游者的行为倾向、旅游品牌的口碑宣传及旅游目的地的营销等都具有重要影响。通过剖析旅游品牌忠诚理论及研究进展,探讨引发旅游者产生旅游目的地忠诚的因子,并运用SPSS13.0对维度指标进行测量,构建了旅游品牌忠诚维度模型,并将模型应用到江西红色旅游目的地品牌忠诚的塑造之中,为江西业界提供决策依据。     

Z-P-S空间中非线性算子方程解的存在性定理

自提出Z-P-S空间这一概念以来,主要探讨了不动点和算子方程解两方面的理论,建立了许多新的定理。文首先证明了两个重要不等式,其次利用概率度量空间中A-proper映射拓扑度的基本性质,在投影完备的Z-P-S空间中研究了非线性算子方程解的存在性问题,得到了一些新的结果。     

调和函数类的一些界的估计结果北大核心CSCD

研究了单位开圆盘内保向复值的调和函数类,其中函数的解析部分满足一定的从属条件.完整的给出了该函数类Bloch常数的界、系数估计、增长和偏差不等式的界.进一步,通过指定一些关键参数,证明其pre-Schwarzian导数的范数也是有界的.     

On entire solutions of some type of nonlinear difference equations

In this article, the existence of finite order entire solutions of nonlinear difference equations f~n+ P_d(z, f) = p_1 e~(α1 z)+ p_2 e~(α2 z) are studied, where n ≥ 2 is an integer, Pd(z, f) is a difference polynomial in f of degree d(≤ n-2), p_1, p_2 are small meromorphic functions of ez, and α_1, α_2 are nonzero constants. Some necessary conditions are given to guarantee that the above equation has an entire solution of finite order. As its applications, we also find some type of nonlinear difference equations having no finite order entire solutions.     

阳离子色谱法测定溴棕三甲胺含量

建立了用阳离子色谱法测定溴棕三甲胺的方法。在淋洗液为硫酸(3mmol/L)+乙腈(40%),流速为1mL/min,柱温为40℃的色谱条件下,采用MetrosepC4-150阳离子色谱柱,非抑制电导检测器,在1～15mg/L范围内,溴棕三甲胺的浓度与色谱峰面积呈良好线性关系,相关系数为0.999。方法具有快速、简便、灵敏的特点,适用于检测实际样品中溴棕三甲胺的含量。     

ON NEVANLINNA DIRECTIONS OF ALGEBROID FUNCTIONS

In this paper, a notation δχ(ω) is derived from the counting function Nχ(r,w) of branch points of algebriod functions. With this notation, the authors give the definition of the Nevanlinna direction for algebriod functions and discuss its existence in certain condition. By this notation the authors also obtain the numbers of exceptional value of the Julia direction and Borel direction of algebriod functions are not more than 2 [δχ(ω)],here [x] implies an maximum integer number which does not exceed x.