Probability Laws Derived from the Gamma Function

Several densities or probability laws of continuous random variables derive from the Euler Gamma function. These laws form the basis of sampling theory, namely hypothesis testing and estimation. Namely the gamma, beta, and Student law, through the chi-square law and the normal law are all distributions resulting from applications of Euleur functions.

Abnormal resting-state functional network centrality in patients with high myopia： evidence from a voxel-wise degree centrality analysis

AIM： To investigate the functional networks underlying the brain-activity changes of patients with high myopia using the voxel-wise degree centrality（DC） method.METHODS： In total, 38 patients with high myopia（HM）（17 males and 21 females）, whose binocular refractive diopter were-6.00 to-7.00 D, and 38 healthy controls（17 males and 21 females）, closely matched in age, sex, and education levels, participated in the study. Spontaneous brain activities were evaluated using the voxel-wise DC method. The receiver operating characteristic curve was measured to distinguish patients with HM from healthy controls. Correlation analysis was used to explore the relationship between the observed mean DC values of the different brain areas and the behavioral performance.RESULTS： Compared with healthy controls, HM patients had significantly decreased DC values in the right inferior frontal gyrus/insula, right middle frontal gyrus, and right supramarginal/inferior parietal lobule（P〈0.05）. In contrast, HM patients had significantly increased DC values in the right cerebellum posterior lobe, left precentral gyrus/postcentral gyrus, and right middle cingulate gyrus（P〈0.05）. However, no relationship was found between the observed mean DC values of the different brain areas and the behavioral performance（P〉0.05）.CONCLUSION： HM is associated with abnormalities in many brain regions, which may indicate the neural mechanisms of HM. The altered DC values may be used as a useful biomarker for the brain activity changes in HM patients.

Correlation Degree and Correlation Coefficient of Multi-Output Functions

We present definitions of the correlation degree and correlation coefficient of multi-output functions. Two relationships about the correlation degree of multi-output functions are proved. One is between the correlation degree and independency, the other is between the correlation degree and balance. Especially the paper discusses the correlation degree of affine multioutput functions. We demonstrate properties of the correlation coefficient of multi-output functions. One is the value range of the correlation coefficient, one is the relationship between the correlation coefficient and independency, and another is the sufficient and necessary condition that two multi-output functions are equivalent to each other.

DEGREE OF APPROXIMATION BY SUPERPOSITIONS OF A SIGMOIDAL FUNCTION

In this paper we study the degree of approximation by superpositions of a sigmoidal function.We mainly consider the univariate case.If f is a continuous function,we prove that for any bounded sigmoidal function σ,d_(n,σ)(f)≤‖σ‖ω(f,1/(n+1)).For the Heaviside function H(x),we prove that d_(n,H)(f)≤ω(f,1/(2(n+1))). If f is a continuous funnction of bounded variation,we prove that d_(n,σ)(f)≤‖σ‖/(n+1)V(f)and d_(n,H)(f)≤ 1/(2(n+1))V(f).For he Heaviside function,the coefficient 1 and the approximation orders are the best possible.We compare these results with the classical Jackson and Bernstein theorems,and make some conjec- tures for further study.

ON THE DEGREE OF COMPLETENESS OF CRYPTOGRAPHIC FUNCTIONS

This paper discusses the degree of completeness of cryptographic functions, which is one of the cryptographic criteria should be considered in the design of stream ciphers. We establish the relationships between the degree of completeness and other cryptographic criteria. For resilient Boolean functions, a method to enhance the degree of completeness is proposed, while the nonlinearity and the algebraic degree do not decrease. Moreover, two constructions of resilient functions are provided, which have optimal degree of completeness, high nonlinearity, and high algebraic degree.

Solutions of Seventh Order Boundary Value Problems Using Ninth Degree Spline Functions and Comparison with Eighth Degree Spline Solutions

In this article, we develop numerical method by constructing ninth degree spline function using extended cubic spline Bickley’s method to find the approximate solution of seventh order linear boundary value problems at different step lengths. The approximate solution is compared with the solution obtained by eighth degree splines and exact solution. It has been observed that the approximate solution is an excellent agreement with exact solution. Low absolute error indicates that our numerical method is effective for solving high order linear boundary value problems.

A SHARP ESTIMATE ON THE DEGREE OF APPROXIMATION TO FUNCTIONS OF BOUNDED VARIATION BY CERTAIN OPERATORS

Recently Guo introduced integrated Meyer -Konig and Zeller operators and studied the rate of convergence for function of bounded variation. In this note we give a sharp estimate for these operators.

Evaluation of the intraoperative trauma degree and postoperative speech function of low-temperature plasma radiofrequency surgery treatment of children with OSAHS

Objective:To evaluate the intraoperative trauma degree and postoperative speech function of low-temperature plasma radiofrequency surgery treatment of children with obstructive sleep apnea hypopnea syndrome (OSAHS).Methods: A total of 118 children with OSAHS were divided into the control group (n=59) who received general surgery and the observation group (n=59) who received the low-temperature plasma radiofrequency surgery according to the random number table. Before operation and 24 h after operation, serum levels of stress hormones, acute phase proteins and inflammatory markers of two groups of children were determined, and the speech function parameter levels were assessed.Results:Before operation, differences in serum contents of stress hormones, acute phase proteins and inflammatory factors as well as speech function parameter levels were not statistically significant between two groups of patients. 24 h after operation, serum stress hormones adrenocorticotropic hormone (ACTH), angiotensin-2 (Ang-2), norepinephrine (NE), cortisol (Cor) contents of observation group were lower than those of control group, serum acute phase proteins haptoglobin (HP), ceruloplasmin (CER), and prealbumin (PA) contents were lower than those of control group, and serum inflammatory factors interleukin-1 (IL-1), interleukin-4 (IL-4), interleukin-27 (IL-27), tumor necrosis factorα(TNF-α) contents were lower than those of control group;speech function parameters NNE and NHR levels of observation group were higher than those of control group.Conclusion:Compared with routine surgery, low-temperature plasma radiofrequency surgery treatment of children with OSAHS causes less surgical trauma and more greatly improves the postoperative speech level.

A single diffractive optical element implementing spectrum-splitting and beam-concentration functions simultaneously with high diffraction efficiency

In this paper,a novel method is proposed and employed to design a single diffractive optical element（DOE） for implementing spectrum-splitting and beam-concentration（SSBC） functions simultaneously.We develop an optimization algorithm,through which the SSBC DOE can be optimized within an arbitrary thickness range according to the limitations of modern photolithography technology.Theoretical simulation results reveal that the designed SSBC DOE has a high optical focusing efficiency.It is expected that the designed SSBC DOE should have practical applications in high-efficiency solar cell systems.

IS THE“DEGREE OF AGGREGATION”A FUNCTION OF THE AVERAGE AGGREGATE NUMBER,OR OF THE NUMBER OF AGGREGATES,OR BOTH?

Measurement of the average aggregate number of coaggregates(N_co)and evaluation Of the number of coaggregates([CoAg])in the region of increasing degree of aggregation shows that only N_co increases linearly with the concentration of the target molecules CE-In and BL-ol.

Assessment of the intraoperative wound degree as well as postoperative immune function and ventilation function of plasma radiofrequency ablation for the treatment of adenoid hypertrophy

Objective:To study the intraoperative wound degree as well as postoperative immune function and ventilation function of plasma radiofrequency ablation for the treatment of adenoid hypertrophy.Methods: A total of 118 children with adenoid hypertrophy who underwent surgical treatment in our hospital between May 2013 and April 2016 were selected and divided into the control group (n=59) who accepted conventional endoscopic cutting aspirator and the observation group (n=59) who accepted the plasma radiofrequency ablation according to the single-blind randomized controlled method. Before and after operation, the levels of peripheral blood trauma-related indexes, humoral immunity and complement indexes as well as nasal ventilation function indexes were determined.Results:Before operation, the differences in trauma-related indexes, humoral immunity and complement indexes as well as nasal ventilation function indexes were not statistically significant between two groups of children. Immediately after operation, the peripheral blood SP, PGE2 and CRP contents of observation group were lower than those of control group;24 h after operation, peripheral blood IgG, IgM, IgA, C3 and C4 contents of observation group were lower than those of control group;1 week after operation, TIR and TER levels of observation group were lower than those of control group while NPV and MCSA levels were higher than those of control group.Conclusion:Plasma radiofrequency ablation for treatment of adenoid hypertrophy causes smaller intraoperative wound and has more advantages in optimizing the body's immune function and ventilation function.

Experimental Evaluation of Thermal Conductivity and Other Thermophysical Properties of Nanofluids Based on Functionalized (-OH) Mwcnt Nanoparticles Dispersed in Distilled Water

A possible way to increase thermal conductivity of working fluids, while keeping pressure drop at acceptable levels, is through nanofluids. Nanofluids are nano-sized particles dispersed in conventional working fluids. A great number of materials have potential to be used in nanoparticles production and then in nanofluids;one of them is Multi-Walled Carbon Nano Tubes (MWCNT). They have thermal conductivity around 3000 W/mK while other materials used as nanoparticles like CuO have thermal conductivity of 76.5 W/mK. Due to this fact, MWCNT nanoparticles have potential to be used in nanofluids production, aiming to increase heat transfer rate in energy systems. In this context, the main goal of this paper is to evaluate from the synthesis to the experimental measurement of thermal conductivity of nanofluid samples based on functionalized (-OH) MWCNT nanoparticles. They will be analyzed nanoparticles with different functionalization degrees (4% wt, 6% wt, and 9% wt). In addition, it will be quantified other thermophysical properties (dynamic viscosity, specific heat and specific mass) of the synthetized nanofluids. So, the present work can contribute with experimental data that will help researches in the study and development of MWCNT nanofluids. According to the results, the maximum increment obtained in thermal conductivity was 10.65% in relation to the base fluid (water).

The Single Valley Character of Level Degree Function

Strict proof has been given to single valley character of level degree function by use of convex analysis theory, which provides reliable theoretical basis for the optimization of the data processing with respect to level degree. As circle degree and cylindrical degree have the same mathematical structures, their single valley character can be proved by the same method.

系统化快速康复训练在老年股骨颈骨折患者术后的应用效果

目的探究系统化快速康复训练在老年股骨颈骨折患者术后的应用效果。方法选取江苏省南通市第三人民医院2019年1月至2022年1月收治的老年股骨颈骨折患者94例,应用奇偶分组法将其分为对照组和观察组,各47例。对照组行常规训练干预,观察组在对照组的基础上加用系统化快速康复训练。比较两组疼痛情况、行动功能、生活质量及髋关节功能。结果整体分析发现:两组疼痛组间、时间点及交互作用比较差异均有统计学意义(P<0.05)。进一步两两比较,组内比较:两组组内各时间点疼痛评分比较,差异均有统计学意义(P<0.05);组间比较:观察组术后各时间点疼痛评分均低于对照组,差异有统计学意义(P<0.05)。干预后,两组行动功能评分及髋关节评分均高于干预前,且观察组高于对照组,差异有统计学意义(P<0.05)。干预后,两组生活质量评分均高于干预前,且观察组高于对照组,差异有统计学意义(P<0.05)。结论系统化快速康复训练能够提高老年股骨颈骨折术后患者的行动功能及生活质量,降低患者的疼痛水平,具有重要的应用意义。

老年住院病人跌倒伤害事件的特征及影响因素分析

目的 探讨60岁及以上病人在院期间发生跌倒不良事件后的伤害程度分布特点,分析其与年龄、实验室指标的相关性。方法 回顾性收集2017~2021年在南京医科大学第一附属医院发生跌倒不良事件病人(年龄≥60岁)的临床资料,根据其跌倒后的伤害程度将其分为无伤害组、一级伤害组、二级伤害组、三级伤害组。收集入组病人发生跌倒不良事件前7 d内最近一次晨空腹生化、凝血指标、血常规检测结果,分析不同跌倒伤害程度住院老年病人基本资料、实验室指标的差异。采用Spearman相关系数表示不同指标间的相关性;采用二元Logistic回归分析老年住院病人跌倒发生伤害的影响因素。结果 382例老年住院病人跌倒伤害程度分布以一级伤害(150例,39.27%)为主,其次为无伤害(145例,37.96%)、三级伤害(52例,13.61%)、二级伤害(35例,9.16%)。单因素分析显示,不同跌倒伤害程度老年病人的年龄、凝血酶原时间(PT)、国际标准化比值(INR)、活化部分凝血活酶时间(APTT)、纤维蛋白原(FIB)水平差异有统计学意义(P<0.05或P<0.01)。Spearman相关分析显示,老年住院病人的跌倒伤害程度与年龄、PT、INR、APTT、FIB均呈正相关(r=0.188、0.169、0.177、0.147、0.131,均P<0.05)。Logistic回归分析显示,年龄(OR=1.035)、FIB(OR=1.330)为老年住院病人跌倒发生伤害的独立影响因素。结论 老年住院病人跌倒后伤害程度与年龄、凝血功能存在关联,建议将该部分高伤害风险人群作为跌倒风险管理的切入点,实施分层管理。

高表达抗β2糖蛋白I(β2GPI)自身抗体可加重结缔组织病炎症程度及免疫功能紊乱

目的 观察抗β2糖蛋白I(β2GPI)自身抗体在结缔组织病表达及其与炎症及免疫功能的关系。方法 观察对象为广义结缔组织病患者,包括结缔组织病(CTD)、类风湿性关节炎(RA)、干燥综合征(SS)和系统性红斑狼疮(SLE)。采用化学发光法进行定量检测抗β2GPI。采用魏氏法检测血沉(ESR),采用全自动生化分析仪检测C反应蛋白(CRP)、类风湿因子(RF)和抗环瓜氨酸多肽(CCP)抗体。结果 RA患者抗β2GPI抗体及其亚型较CTD、 SS、 SLE患者均明显升高。结缔组织病患者中CRP与抗β2GPI抗体、抗β2GPI抗体IgM呈正比。ESR与抗β2GPI抗体呈正比。与CRP正常组比较,CRP异常组抗β2GPI抗体、抗β2GPI抗体IgM升高。与ESR正常组比较,ESR异常组抗β2GPI抗体、抗β2GPI抗体IgG升高。RA患者中抗β2GPI抗体与ESR、抗CCP抗体呈正相关。抗β2GPI抗体IgG与RF呈正相关。结论 抗β2GPI抗体水平可作为结缔组织病炎症程度和评估免疫紊乱的一个预测因子。

半无限介质多自由度频响函数离散时间有理近似的稳定参数识别

离散时间有理近似函数是将半无限土频响函数转化为时域模型的重要工具,离散时间有理近似函数和时域模型具有相同的稳定性和精度。目前关于离散时间有理近似函数的研究只针对于单自由度系统。该文基于线性控制理论,给出了多自由度有理近似系统的稳定条件。将稳定性条件与遗传-序列二次算法相结合,开发了多自由度频响函数参数辨识方法,保证了多自由度系统的稳定性和精度。不同维度的多自由度有理近似系统的数值仿真验证了该文方法可以保证多自由度有理近似系统的稳定性和精度。

基于投影寻踪回归方法的微压过滤冲洗池水头损失与过滤效率预测模型

以微压过滤冲洗池的水头损失与过滤效率为考核指标,考虑进水流量、矿化度、含沙量与滤网孔径4个因素进行正交试验设计,采用投影寻踪回归方法PPR分析各个因素对考核指标的影响权重,选取20组试验数据建立含沙微咸水条件下微压过滤冲洗池水头损失和过滤效率的预测模型,探究了含沙微咸水对微压过滤冲洗池的水头损失和过滤效率的影响。研究结果表明,影响微压过滤冲洗池水头损失的因素由大到小依次为进水流量、含沙量、矿化度、滤网孔径;影响过滤效率的因素由大到小依次为含沙量、进水流量、矿化度、滤网孔径;构建的PPR预测模型的预测精度整体合格率达100%;当进水流量为6~7 m^(3)/h、含沙量为0.5~1.0 g/L、矿化度为0~2.0 g/L及滤网孔径为0.125~0.180 mm时,水头损失存在最小值;当进水流量为9~10 m^(3)/h、含沙量为1.75~2.00 g/L、矿化度为0~3.0 g/L及滤网孔径为0.125~0.150 mm时,过滤效率存在最大值。物理模型的试验结果可为微压过滤冲洗池的实际应用提供研究基础。

酒钢悬浮焙烧磁铁矿选矿工艺优化研究

对酒钢悬浮焙烧磁铁矿进行了磨矿-选矿工艺优化研究。采用110 mT低场强磁选机预提精、中矿再磨后采用磁选富集抛尾、富集精矿经阳离子反浮选,最终获得TFe品位60.06%、SiO_(2)含量5.17%、金属回收率84.27%的综合精矿;与原工艺指标相比,精矿TFe品位提高了1.96个百分点,金属回收率提高了1.38个百分点,SiO_(2)含量降低了1.06个百分点。

4℃保存全血制备的去白细胞混合浓缩血小板体外质量评价

目的 探讨全血4℃冷藏条件下保存制备去白细胞混合浓缩血小板的可行性,为成分制备提供理论依据。方法 将采集的400 mL ACD-B抗凝全血随机分两组,分别进行4℃和室温保存,在保存后6 h内分离制备出白膜层,于22℃静置过夜保存,次日将白膜层汇集制备去白细胞混合浓缩血小板,于制备后d1、d3、d5、d7取样,进行血细胞计数及相关参数检测,测定pH、葡萄糖、乳酸含量反映代谢情况,检测血栓弹力图、血小板聚集率及PAC-1、CD62P反映血小板体外功能及活化情况,比较两组血小板差异。结果 随着保存时间的延长,两组去白细胞混合浓缩血小板计数逐渐下降,血小板分布宽度(PDW)、平均血小板体积(MPV)、大型血小板比例(P-LCR)均逐渐上升,差异无统计学意义(P>0.05)。两组去白细胞混合浓缩血小板pH、葡萄糖含量均逐渐降低,乳酸含量逐渐增高,无显著性差异(P>0.05)。血栓弹力图结果显示,反应血小板功能的MA值保存期内无显著性变化,且两组间无显著性差异(P>0.05)。血小板聚集率随着保存时间的延长而逐渐降低,两组无统计学差异。血小板PAC-1及CD62P表达率随着保存时间的延长而逐渐升高,两组无统计学差异(P>0.05)。结论 全血4℃冷藏保存与室温保存6 h内制备的去白细胞混合浓缩血小板在体外计数、功能、活化方面无统计学差异,4℃冷藏6 h内的全血可考虑作为制备去白细胞混合浓缩血小板的起始血液。