带变量核的抛物型Littlewood-Paley算子在Hardy空间上的有界性

利用原子分解理论给出了一类带变量核的抛物型Littlewood-Paley算子gφ在Hardy空间Hp(Rn)(2α/2α+1相似文献   

Beta-Gamma函数对余元公式的推导与实现

对构造的公式①,在复数域将其被积函数分解得2n个复根.在实数域将其实虚部积分取极限获证.对构造的公式②,由①将其被积函数的连续性、收敛性及一致收敛性与构造的有理数列用变量替换代入取极限获证.再由①与②应用Gamma-Beta函数的另一形式及(3),得到了余元公式的实现.     

Robust parameterisation of ages of references in published research

The purpose of this research is to illustrate the use of the gamma distribution to model the ages of references in published research, and to demonstrate that the two gamma distribution parameters characterise a field of research in a manner that is complementary to and more nuanced than the Price Index or mean age of references.Minimum Distance Estimation is shown to produce robust estimates of the gamma distribution parameters because of the insensitivity of the Kolmogorov–Smirnov test in the tails of the distribution.Using a sample of 816 articles from 26 different journals across six subject areas, it is shown that the gamma distribution is at least as good as a lognormal distribution to model the ages of references in research articles.The two gamma distribution parameters indicate the rate of publication of new knowledge within the respective discipline and the citing behaviour in terms of the recency of references. Interpretation of these gamma distribution parameters enables a more nuanced and granular interpretation of the distinctiveness of disciplines, sub-disciplines, formats of publication and the distribution of references within articles than possible using the Price Index, half-life or mean age of references.     

电子自旋角动量升降算符研究

从新的视角引出了电子自旋角动量升降算符,并对自旋角动量三个分量等几方面进行了推论和具体应用,以展示算符理论的内在美和形式美.     

Biochemical Evaluation of Patients of Alcoholic Liver Disease and Non-alcoholic Liver Disease

Alcoholic liver disease (ALD) is due to excessive alcohol intake for long duration. Distinguishing ALD from non-ALD (non-alcoholic steatohepatitis, hepatitis of viral origin) is difficult as patient may deny alcohol abuse. Clinical examination, histology and serology may not differentiate these conditions. Accurate diagnosis is important as management of ALD differs from non-ALD patients. The aim of our study was (1) To evaluate the patients of ALD and non-ALD by biochemical parameters compared to controls, (2) To assess whether these parameters can differentiate ALD from non-ALD. Study was carried out on 50 patients of ALD in group I and 35 patients of NASH (non-alcoholic steatohepatitis) and acute viral hepatitis each in group II. Age matched healthy controls n = 50. Selection criteria—history of alcohol intake (amount and duration), clinical examination, sonography of abdomen, serum alanine transaminase (ALT) and bilirubin levels. Blood samples were analyzed for bilirubin, aspartate transaminase (AST), ALT, alkaline phosphatase (ALP), gamma glutamyl transferase (GGT) by kinetic method. Statistical analysis was done by Student unpaired ‘t’ test. Patients of ALD have raised AST/ALT ratio (De Ritis ratio) (>2), ALP and GGT compared to controls (P < 0.01).There is significant difference in AST/ALT ratio, serum GGT and ALP in ALD group compared to that in NASH and acute viral hepatitis (P < 0.05). This study suggests that De Ritis ratio >2 in ALD patients may be due to alcohol induced hepatic mitochondrial injury and pyridoxine deficiency. High GGT and ALP values may indicate enzyme induction by alcohol and mild cholestasis. Thus ALD patients have severe hepatic damage. De Ritis ratio <1 and normal to mild elevation in GGT level in NASH and acute viral hepatitis suggest mild hepatic injury of non-alcoholic origin. Our study concludes that ALD patients can be differentiated from NASH and acute viral hepatitis with certainty by measuring serum AST/ALT ratio, GGT and ALP. These biochemical parameters may help clinicians to support the diagnosis of ALD and non-ALD.     

基于模糊S_D(T_D)-QL蕴涵算子的一类布尔迭代律的刻画

模糊集是信息处理的有效方法之一,而模糊蕴涵算子是模糊集之间的一类重要的运算,在模糊信息处理中起着十分重要的作用。本文将给出蕴涵满足布尔迭代律的充要条件。     

负二项分布的两个不同定义

给出了负二项分布的两个不同定义,给出了两类负二项随机变量的期望、方差与矩母函数。从直观上对这两类负二项随机变量做了描述。     

广州市游泳场馆消费群体的现状调查

通过对广州市游泳馆消费群体的人口统计变数（包括性别、年龄、学历、职业结构）及参与目的和参与行为（参与的目的、频率、时间和地点选择）基本特征的研究,可以帮助经营者分析市场,进行合理的市场定位,有针对性地制定市场动作策略,完善经营服务,提高经营质量。     

图像处理中改进的Gamma矫正方法

在计算机视觉中,光照始终是影响图像质量的重要因素,也是目前尚未有效解决的难题之一.为了有效弱化光照对图像质量的影响,可利用非线性函数叠加的方法构造一个合理的Gamma值变化曲线,使Gamma矫正方法充分适应图像中光照变化的实际情况,能有效防止Gamma矫正可能产生的图像失真.实验证明,此方法在改善图像光照条件,提高图像质量方面具有良好的性能.