Generalized Gr?tzsch ring function and generalized elliptic integrals

Abstract. In this paper, we study the quotient of hypergeometric functions μα （r） in the theory of Ramanujan＇s generalized modular equation for α ∈（0, 1/2]. Several new inequalities are given for this and related functions. Our main results complement and generalize some known results in the literature.

The Homotopic Probability Distribution and the Partition Function for the Entangled System Around a Ribbon Segment Chain

Using the Feynman's path integral with topological constraints arising from the presence of one singular line, we find the homotopic probability distribution PnL for the winding number n and the partition function PL of the entangled system around a ribbon segment chain. We find that when the width of the ribbon segment chain 2a increases,the partition function exponentially decreases, whereas the free energy increases an amount, which is proportional to the square of the width. When the width tends to zero we obtain the same results as those of a single chain with one singular point.

Command functions of open loop galvanometer scanners with optimized duty cycles

The paper approaches the problem of the command functions of galvanometer-based scanners （GS） that are necessary to produce the linear plus parabolic scanning function of the GS, which we have proved previously to produce the highest possible duty cycle （i.e., time efficiency） of the device. We have completed this theoretical aspect （which contradicted what has been stated previously in the literature, where it has been considered that the linear plus sinusoidal scanning function was the best） with the experimental study of the most used scanning functions of the GSs （sawtooth, sinusoidal and triangular）, with applications in biomedical imaging, in particular in optical coherence tomography, demonstrating that the triangular function is always the best one to be applied, from both an optical and a mechanical point of view. In the present study the input voltage/command function which should be applied to the GS to produce the desired triangular scanning function （with controlled non-linearity for the fastest possible stop-and-turn portions） was determined analytically, in relationship with the active torque that drives the device. This command function is analyzed with regard to the specific, respectively required parameters of the GS： natural frequency and damping factor, respectively scan speed and amplitude. The modeling in an open loop control structure of the GS is finally discussed as a trade-off between using the highest possible duty cycle and minimizing the maximum peaks of the input voltage.

ANALYSIS TO NEYMAN-PEARSON CLASSIFICATION WITH CONVEX LOSS FUNCTION

Neyman-Pearson classification has been studied in several articles before. But they all proceeded in the classes of indicator functions with indicator function as the loss function, which make the calculation to be difficult. This paper investigates Neyman- Pearson classification with convex loss function in the arbitrary class of real measurable functions. A general condition is given under which Neyman-Pearson classification with convex loss function has the same classifier as that with indicator loss function. We give analysis to NP-ERM with convex loss function and prove it＇s performance guarantees. An example of complexity penalty pair about convex loss function risk in terms of Rademacher averages is studied, which produces a tight PAC bound of the NP-ERM with convex loss function.

Single-pulse chaotic dynamics of functionally graded materials plate

Single-pulse chaos are studied for a functionally graded materials rectangular plate. By means of the global perturbation method, explicit conditions for the existence of a SiZnikov-type homoclinic orbit are obtained for this sys- tem, which suggests that chaos are likely to take place. Then, numerical simulations are given to test the analytical predic- tions. And from our analysis, when the chaotic motion oc- curs, there are a quasi-period motion in a two-dimensional subspace and chaos in another two-dimensional supplemen- tary subspace.

任务导向训练联合下肢康复机器人对脑卒中偏瘫患者下肢功能的影响

目的:探讨下肢康复机器人联合任务导向训练对脑卒中偏瘫患者的治疗效果。方法:选取我院2023年1月~12月收治的脑卒中偏瘫患者100例,随机分为对照组和观察组各50例。对照组在康复师的辅助下进行任务导向训练,观察组在对照组基础上给予下肢康复机器人训练。观察两组患者治疗前后下肢平衡、下肢肌力、运动功能、踝关节功能、膝关节屈曲活动范围及行走能力。结果:治疗后,两组患者BBS评分、股四头肌评分、腘绳肌评分、FMA-LE评分及AOFAS评分均较治疗前升高(P<0.05),且观察组治疗后的BBS评分、股四头肌评分、腘绳肌评分、FMA-LE评分及AOFAS评分均显著高于对照组(P<0.05);治疗后,两组患者的膝关节屈曲活动范围及6 min步行距离均较治疗前升高(P<0.05),且观察组治疗后的膝关节屈曲活动范围及6 min步行距离显著大于对照组(P<0.05)。结论:在脑卒中患者的临床治疗中,任务导向训练与下肢康复机器人相结合,可有效提高下肢肌力,促进平衡功能的恢复,对运动功能的恢复效果显著,可提高脑卒中患者的行走能力和膝关节屈曲的活动范围,达到较为理想的治疗效果。

Selection of Measured Signals in the Navigation Measuring Complex

To increase accuracy of navigation parameters,a perspective measuring complex with intellectual components is developed.Conception of synthesis optimal structure of the measuring complex is realized basing on a selective method using principles of the functional systems.Selection of measured information is finished by original numeric criterion of observation level of state vector components.Prediction is realized by algorithm of self-organization that makes synthesis of the optimal complication.Therefore mechanism of self-regulation is realized and accuracy of the selective navigation complex is increased.

Electroacupuncture improves microcirculation and neuronal morphology in the spinal cord of a rat model of intervertebral disc extrusion

Most studies on spinal cord neuronal injury have focused on spinal cord tissue histology and the expression of nerve cell damage and repair-related genes. The importance of the microcirculation is often ignored in spinal cord injury and repair research. Therefore, in this study, we established a rat model of intervertebral disc extrusion by inserting a silica gel pad into the left ventral sur-face of T13. Electroacupuncture was used to stimulate the bilateralZusanlipoint （ST36） and Neiting point （ST44） for 14 days. Compared with control animals, blood lfow in the ifrst lumbar vertebra （L1） was noticeably increased in rats given electroacupuncture. Microvessel density in the T13 segment of the spinal cord was increased significantly as well. The number of normal neurons was higher in the ventral horn of the spinal cord. In addition, vacuolation in the white matter was lessened. No obvious glial cell proliferation was visible. Furthermore, hindlimb motor function was improved signiifcantly. Collectively, our results suggest that electroacupuncture can improve neuronal morphology and microcirculation, and promote the recovery of neurological functions in a rat model of intervertebral disc extrusion.

Laplace Transformation and Ergodic Potential Kernel for q-Process in Random Environment

This paper introduces some concepts such as q- process in random environment, Laplace transformation, ergodic potential kernel, error function and some basic lemmas.We study the continuity and Laplace transformation of random transition function. Finally, we give the sufficient condition for the existence of ergodic potential kernel for homogeneous q- processes in random environments.

APPLICATIONS OF HYPERGEOMETRIC SUMMATION THEOREMS OF KUMMER AND DIXON INVOLVING DOUBLE SERIES

Using series iteration techniques identities and apply each of these identities in we derive a number of general double series order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust double hypergeometric function. The results presented in this article are based essentially upon the hypergeometric summation theorems of Kummer and Dixon.

Resource selection of moose(Alces alces cameloides) and their response to human disturbances in the northwestern slope of Lesser Khingan Mountains, northeastern China

Moose （Alces alces cameloides） is typically representative of the fauna of the frigid temperate zone and has been put on the Chinese second priority list of protected animals. The moose of northeast China is on the southern most edge of its distribution in Asia. To study resource selection characteristics of moose and their response to human distur- bances and forest resource variables, the field work was conducted in Heilongiiang Provincial Shengshan Forestry Farm, which is located in the northwestern slope of Lesser Khingan Mountains, northeastern China, from January to March in both 2006 and 2007. A total of 428 plots were examined within the study area. Signs of moose use were found in 19 plots. Based on the analysis of resource selection function, we found that moose selected areas with higher densities of mixed deciduous broadleaf patch and mixed coniferous and broad leaf patch, and a higher NDVI value. Moose avoided settlement 6 km away and remained low probability of occurrence within 3 km from roads,

MULTIPLE POSITIVE SOLUTIONS OF A SINGULAR (n-1,1) CONJUGATE BOUNDARY VALUE PROBLEM WITH DELAY

This paper discusses the singular ( n\|1,1 ) conjugate boundary value problem as follows by using a fixed point index theorem in cones[HL(2:1,Z;2,Z]u (n) (t)+a(t)f(u(w(t)))=0,(0<t<1), u(t)=φ(t),(-τ≤t<0), u (j) (0)=u(1)=0,(1≤j≤n-2).Effort is devoted to give some sufficient conditions for which the equation has at least two positive solutions.An example to illustrate the application of this theorem is given. [FQ(6*2。39,X-W]

Periodic Wave Solutions and Solitary Wave Solutions of the (2+1)-Dimensional Korteweg-de-Vries Equatio

In this paper, we investigate the periodic wave solutions and solitary wave solutions of a (2+1)-dimensional Korteweg-de Vries (KDV) equation by applying Jacobi elliptic function expansion method. Abundant types of Jacobi elliptic function solutions are obtained by choosing different coefficients p, q and r in the elliptic equation. Then these solutions are coupled into an auxiliary equation and substituted into the (2+1)-dimensional KDV equation. As a result, a large number of complex Jacobi elliptic function solutions are obtained, and many of them have not been found in other documents. As , some complex solitary solutions are also obtained correspondingly. These solutions that we obtained in this paper will be helpful to understand the physics of the (2+1)-dimensional KDV equation.

乙烯与乙烯基五甲基二硅氧烷的配位共聚

后过渡金属催化剂具有独特的“链行走”机理以及对极性基团的耐毒性等特点,可用于催化α-烯烃与极性单体共聚,得到结构与性能优异的功能化聚烯烃.本文以α-二亚胺镍(Ⅱ)配合物(C1~C6)为催化剂,在倍半乙基氯化铝(EASC)作用下,以乙烯和乙烯基五甲基二硅氧烷(VPMDSO)为单体进行配位共聚,制备了一系列共聚物.考察了VPMDSO单体浓度、催化剂用量、Al/Ni摩尔比、乙烯压力、聚合时间、溶剂以及催化剂结构对配位共聚反应的影响,得到了最优的聚合条件.通过核磁共振氢谱(1H NMR)、傅里叶变换红外光谱(FTIR)、凝胶渗透色谱(GPC)、热失重分析(TGA)及接触角测试等表征了聚合物的微观结构、热稳定性、硅含量和表面性能.研究结果表明,α-二亚胺镍(Ⅱ)配合物催化活性可达1.26×10^(6)g·mol_(Ni)^(-1)·h^(-1),共聚物中硅含量为0.25%~0.87%(质量分数),与聚乙烯(PE)相比,共聚物的表面能降低、疏水性提高.

基于层次分析法(AHP)与模糊综合评价相结合的油区输电线路运行状态评价

油田快速建产对油区电力系统可靠性提出更高的要求,架空输电线路的运行状态评价是保障电路安全可靠运行的重要环节。为此,本文提出了基于层次分析法与模糊综合评价相结合的油区输电线路运行状态评价方法。通过选取相关评价指标,搭建输电线路运行状态评价体系,采用层次分析法和模糊综合评价相结合的方式,对输电线路展开综合评价。实验结果表明,该条输电线路运行状态处于“注意”,验证了所提出的状态评价方法的有效性。

首发精神分裂症患者视觉情绪识别与静息态脑局部一致性的相关性研究

目的:探究首发精神分裂症患者视觉情绪识别能力特点与静息态大脑局部一致性(ReHo)改变及其相关性。方法:FES患者和健康对照者分别纳入FES组和HC组,各32例;2组均进行视觉情绪识别任务,采集静息态功能磁共振数据,对数据进行预处理并计算个体ReHo值。比较2组的视觉情绪识别得分及全脑ReHo值的差异,并提取组间差异脑区的ReHo值与视觉情绪识别得分进行相关性分析。结果:与HC组相比,FES组的正性情绪识别得分、非正性情绪识别得分及情绪识别总得分均更低(P<0.05)。与HC组相比,FES组右侧中央后回、中央前回、额内侧回、中央旁小叶ReHo降低,双侧海马旁回、左侧壳核ReHo升高(Alphasim多重比较校正,P<0.05)。FES组非正性情绪识别得分与左侧壳核ReHo值之间存在显著负相关(r=-0.471,P=0.031)。结论:FES患者存在情绪识别障碍及多个脑区ReHo改变,其中左侧壳核ReHo值的升高与精神分裂症患者对非正性情绪的识别困难有关。

高精度经颅直流电刺激联合悬吊运动训练对脑卒中患者下肢运动功能的影响

目的 观察高精度经颅直流电刺激(HD-tDCS)联合悬吊运动训练对脑卒中患者下肢运动功能的影响。方法 选择2022年1月-2023年2月在山东大学附属山东省立第三医院康复医学部住院治疗的脑卒中患者120例,按照随机数字表法分为对照组、HD-tDCS组、悬吊组和联合治疗组,每组30例。治疗过程中有4例因中途出院无法继续接受治疗而脱落,其中对照组3例,HD-tDCS组1例,最终对照组、HD-tDCS组、悬吊组和联合治疗组分别纳入27、29、30、30例。对照组接受运动疗法和神经肌肉电刺激等常规康复治疗,25 min/d,1次/d,5 d/周,持续治疗8周;HD-tDCS组在对照组基础上接受HD-tDCS治疗,主要刺激电极置于偏瘫侧脑初级运动皮层M1区(C3/C4),4个接受极分别置于M1区四周约3.5 cm处的C1/C2、C5/C6、FC3/FC4、CP3/CP4区,电流恒定强度2 mA,电流起伏时间30 s,20 min/次,1次/d,5 d/周,持续治疗8周;悬吊组在对照组基础上接受偏瘫侧下肢分离组合运动、动态闭链稳定运动、骨盆摆动和放松运动等悬吊运动训练,25 min/次,1次/d,5 d/周,持续治疗8周;联合治疗组在对照组基础上接受HD-tDCS联合悬吊运动训练。分别于治疗前和治疗4、8周后,采用Fugl-Meyer运动功能量表下肢部分(FMA-LE)评定患者下肢运动功能;采用Berg平衡量表(BBS)评定患者平衡功能;采用功能性步行能力量表(FAC)评定患者功能性步行能力;采用视频步态分析系统评定患者步态时空参数(步频、步速、步长和步行周期)。结果 与治疗前比较,4组治疗4、8周后FMA-LE评分、BBS评分、FAC等级及步态时空参数(步频、步速、步长和步行周期)均明显提高,差异具有统计学意义(P<0.05)。与对照组、HD-tDCS组、悬吊组同一时间点比较,联合治疗组治疗4、8周后FMA-LE、BBS评分均明显更高,治疗8周后FAC等级及步态时空参数(步频、步速、步长及步行周期)均明显更高,差异具有统计学意义(P<0.05)。结论 HD-tDCS联合悬吊运动训练可有效提高脑卒中患者下肢运动功能、平衡能力和步行能力,值得临床推广应用。

胸骨舌骨肌内翻喉功能重建术对声门型喉癌的疗效分析

目的 观察胸骨舌骨肌内翻喉功能重建术对声门型喉癌的疗效。方法 选择2020年1月—2023年12月本院耳鼻咽喉科收治的106例声门型喉癌患者为研究对象,将其随机分成对照组与观察组,每组53例。对照组行垂直部分喉切除术,观察组行垂直部分喉切除术联合胸骨舌骨肌内翻喉功能重建术。观察2组嗓音学指标[标准化噪声能量(NNE)、谐噪比(HNR)、基频微扰(Jitter)、振幅微扰(Shimmer)]、吞咽功能[电视透视吞咽功能检查(VFSS)评分]、生活质量[嗓音障碍指数(VHI)评分]、发音功能改善情况以及并发症(刺激性咳嗽、咽痛、呼吸困难、喉狭窄、局部粘连)发生情况。结果 2组术后3个月的NNE、Jitter、Shimmer均较术前下降,HNR提高,差异有统计学意义(P<0.05);观察组术后3个月的NNE、Jitter、Shimmer低于对照组,HNR高于对照组,差异有统计学意义(P<0.05)。2组术后3个月VFSS评分较术前提高,VHI评分较术前降低,差异有统计学意义(P<0.05);观察组术后3个月的VFSS评分高于对照组,VHI评分低于对照组,差异有统计学意义(P<0.05)。对照组发音功能改善效果优良率为71.70%,低于观察组的88.68%,差异有统计学意义(P<0.05)。观察组并发症发生率为9.43%,低于对照组的24.53%,差异有统计学意义(P<0.05)。结论 垂直部分喉切除术联合胸骨舌骨肌内翻喉功能重建术治疗声门型喉癌,可有效改善患者嗓音学指标、吞咽功能、生活质量以及发音功能,且并发症发生率较低。

牛磺酸的生理功能及其应用

牛磺酸来源于蛋氨酸和半胱氨酸代谢,是一种具有强酸的磺酸性两性离子β-氨基酸,含有一个酸性磺酸基、一个碱性氨基和介于两者之间的两个碳,在生理pH范围内表现出较强的水溶性和较差的亲脂性。由于没有羧基,牛磺酸不参与蛋白质合成,属于半必需氨基酸。牛磺酸的理化性质使其成为各种基本生理过程的理想调节剂,具有维持体内稳态、胆汁酸合成、抗氧化应激、抗炎、保护心血管、保护中枢神经系统和参与免疫调节等多种功能。近年来,随着低蛋白日粮的推广和集约化工厂化生产普及,畜禽的抗病能力受到巨大挑战,有必要在日粮中合理添加牛磺酸。因此,文章介绍了牛磺酸在动物生理和动物营养领域的研究进展,旨在为广大畜牧从业人员提供参考。

堆叠卫星的分离与重构动力学研究

堆叠卫星入轨后分离再重构是构建大型空间结构的有效手段之一.使用自然坐标法建立堆叠卫星系统的动力学方程,具有方便处理卫星组装中固定约束的优点.设置合适的堆叠卫星分离策略和组装策略,采用自旋分离实现了卫星以堆叠状态入轨后的无碰撞分离,使用PD控制结合势函数方法实现了卫星的逐步组装.另外,采用优化算法计算了卫星之间的最小距离,用以精细确定排斥势的大小.基于以上方法,仿真实现了卫星由堆叠状态分离到分段组装的全部过程,证明了所设计的分离和组装策略是有效的.