T-AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK

In this article, we consider the singular points of meromorphic functions in the unit disk. We prove the second fundamental theorem for the Ahlfors-Shimizu＇s characteristic in the unit disk in terms of Nevanlinna theory in the angular domains, and obtain the existence of T-points and Hayman T-points dealing with small functions as target.

TWO ENTIRE FUNCTIONS SHARING FOUR SMALL FUNCTIONS IN THE SENSE OF _(k))(β,f)=_(k))(β,g)

This paper proves a result that if two entire functions f(z) and g(z) share four small functions aj(z) (j = 1,2,3,4) in the sense of Ek)(aj, f) = Ek)(aj,g), (j = 1,2,3,4) (k ≥ 11), then there exists f(z) = g(z).

TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES

Using the techniques proposed in [3], we prove that two nonconstant meromorphic functions f and g on C must be linked by a quasi-Mbius transformation if they share some pairs of small functions with more precise truncated multiplicities, which improve and extend the results of Duc Quang Si.

The Uniqueness of the Entire Functions Whose n-th Powers Share a Small Function with Their Derivatives

In this paper, we prove the following result： Let f（z） be a transcendental entire function, Q（z） ≡ 0 be a small function of f（z）, and n ≥ 2 be a positive integer. If fn（z） and（fn（z）） share Q（z） CM, then f（z） = ce 1 nz, where c is a nonzero constant. This result extends Lv＇s result from the case of polynomial to small entire function.

A Remark on n-small-functions Theorem of Steinmetz

This paper studies the Nevanlinna second fundamental theorem, and the extra tem T(r,f) in the n-small-functions theorem of Steinmetz is removed.

Uniqueness of Meromorphic Functions Sharing One or Two Small Functions IM

In this paper, the uniqueness problems of two meromorphic functions sharing one or two small functions IM are studied. By imposing certain conditions on the counting functions of four or three other small functions and constructing auxiliary function, some general uniqueness results are obtained.

The uniqueness of meromorphic functions concerning small functions

We prove that the Nevanlinna five-point-theorem on the uniqueness of meromorphic func-tions is valid for five small meromorphic functions.

Small-worldness of brain networks after brachial plexus injury: a resting-state functional magnetic resonance imaging study

Research on brain function after brachial plexus injury focuses on local cortical functional reorganization,and few studies have focused on brain networks after brachial plexus injury.Changes in brain networks may help understanding of brain plasticity at the global level.We hypothesized that topology of the global cerebral resting-state functional network changes after unilateral brachial plexus injury.Thus,in this cross-sectional study,we recruited eight male patients with unilateral brachial plexus injury（right handedness,mean age of 27.9±5.4years old）and eight male healthy controls（right handedness,mean age of 28.6±3.2）.After acquiring and preprocessing resting-state magnetic resonance imaging data,the cerebrum was divided into 90 regions and Pearson’s correlation coefficient calculated between regions.These correlation matrices were then converted into a binary matrix with affixed sparsity values of 0.1–0.46.Under sparsity conditions,both groups satisfied this small-world property.The clustering coefficient was markedly lower,while average shortest path remarkably higher in patients compared with healthy controls.These findings confirm that cerebral functional networks in patients still show smallworld characteristics,which are highly effective in information transmission in the brain,as well as normal controls.Alternatively,varied small-worldness suggests that capacity of information transmission and integration in different brain regions in brachial plexus injury patients is damaged.

Analyzing the Effect of the Intra-Pixel Position of Small PSFs for Optimizing the PL of Optical Subpixel Localization

Subpixel localization techniques for estimating the positions of point-like images captured by pixelated image sensors have been widely used in diverse optical measurement fields.With unavoidable imaging noise,there is a precision limit(PL)when estimating the target positions on image sensors,which depends on the detected photon count,noise,point spread function(PSF)radius,and PSF’s intra-pixel position.Previous studies have clearly reported the effects of the first three parameters on the PL but have neglected the intra-pixel position information.Here,we develop a localization PL analysis framework for revealing the effect of the intra-pixel position of small PSFs.To accurately estimate the PL in practical applications,we provide effective PSF(e PSF)modeling approaches and apply the Cramér–Rao lower bound.Based on the characteristics of small PSFs,we first derive simplified equations for finding the best PL and the best intra-pixel region for an arbitrary small PSF;we then verify these equations on real PSFs.Next,we use the typical Gaussian PSF to perform a further analysis and find that the final optimum of the PL is achieved at the pixel boundaries when the Gaussian radius is as small as possible,indicating that the optimum is ultimately limited by light diffraction.Finally,we apply the maximum likelihood method.Its combination with e PSF modeling allows us to successfully reach the PL in experiments,making the above theoretical analysis effective.This work provides a new perspective on combining image sensor position control with PSF engineering to make full use of information theory,thereby paving the way for thoroughly understanding and achieving the final optimum of the PL in optical localization.

Stability of the Dividing Distribution Function Method for ParticleSize Distribution Analysis in Small Angle X－Ray Scattering

The Dividing Distribution Function (DDF) method is one of the methods by which the particle size distribution of ultrafine powder can be evaluated from its small angle X-ray scattering data. In this paper, the stability of the solution obtained from DDF method has been investigated through optimizing the coefficient matrix, introducing a damping factor and a least square treatment. All calculations were accomplished with a microcomputer. It was shown that the average deviations of the size distribution obtained are not larger than the assigned random errors to the scattering intensities as long as the corresponding requirements are satisfied.

基于改进YOLOv5s的小目标检测算法

针对当前主流目标检测算法对图像中远距离小目标产生的漏检、误检等问题,提出一种改进YOLOv5s的小目标检测算法。在模型训练过程中,通过引入Focal-EIOU定位损失函数,加强边界框的定位精度;在骨干网络中,通过添加小目标检测层,提高小目标的检测精度;在Neck结构中,通过优化上采样算子和添加注意力机制,加强小目标的特征信息。实验结果表明,改进后的算法在VisDrone数据集上与YOLOv5s算法相比,mAP@small提高了3.2%,且检测速度满足实时性的要求,能够很好地应用于小目标检测任务中。

跗骨窦小切口与经外侧“L”形切口术对跟骨骨折患者的疗效

目的 比较跗骨窦小切口与经外侧“L”形切口术治疗跟骨骨折的疗效及对足功能恢复情况的影响。方法 研究对象选取2020年10月至2022年10月收治的跟骨骨折患者88例,按照手术方法分为对照组43例,研究组45例,对照组采用经外侧“L”形切口术,研究组采用跗骨窦小切口手术。检测比较2组手术情况及并发症发生情况、足功能、跟骨解剖结构、骨代谢、炎性因子、应激反应指标水平。结果 与对照组比较,研究组术后引流量、术中出血量较少,手术、住院及骨折愈合时间较短,并发症发生率较低(P<0.05)。与术前比较,术后3个月2组AOFAS评分、Bohler角、Gissane角、跟骨长度、跟骨高度、P1NP、骨特异性碱性磷酸酶(BALP)水平升高,且研究组高于对照组,抗酒石酸酸性磷酸酶(TRAP)、环磷酰胺(CTX)水平降低,且研究组低于对照组(P<0.05)。与术前比较,术后3 d 2组CRP、IL-6、MDA水平升高,但研究组低于对照组,SOD水平降低,但研究组高于对照组(P<0.05)。结论 跗骨窦小切口术治疗跟骨骨折效果理想,可减少手术创伤,减轻炎症及应激反应,且可促进术后足功能、骨代谢恢复,并发症少。

改进YOLOv7的遥感图像小目标检测

针对在遥感图像中进行小目标检测时,由于目标尺寸小、视觉信息不明显以及背景复杂多变等因素,导致传统的检测方法在精度和鲁棒性方面存在局限性,容易造成漏检、误检的问题,文章提出了一种改进YOLOv7的目标检测算法,采用SIoU作为损失函数,改善目标检测框的定位精度,从而提高检测的准确性和鲁棒性。同时,通过将CNeB模块应用于特征融合过程,增强了特征之间的空间交互能力,进一步提升了小目标的检测性能。此外,为了更好地捕捉遥感图像中小目标的细节特征,利用CA注意力机制,设计了MPCA模块,实现了对特征图的自适应调整,以提高表征能力。在实验部分,使用了经典的遥感图像数据集进行了大量的实验评估。实验结果表明,所提出的基于SIoU、CNeB模块和CA注意力机制的改进方法在RSOD数据集上四分类均值平均精度达到了96.8%,比原版YOLOv7提升了2.5%,有效提高了遥感图像小目标检测精度。

DTN中基于虚拟货币交易的高效率路由算法

由于容迟网络的间歇性连接等特点,以及节点自身缓存、能量等资源受限,DTN中的节点往往会表现出一定的自私性。自私节点的存在可能会提高网络的开销,降低消息的成功投递率。为了促进自私节点参与合作,提出了一种基于虚拟货币交易的高效率路由算法PVCT(Efficient Routing Algorithm Based on Virtual Currency Transaction in DTN),并结合容迟网络的小世界特性,提高了路由算法的效率。该算法利用虚拟货币交易的方式,并根据节点的基本属性、位置属性、社会属性等进行定价,节点根据设计的价格函数给出对应的报价,并利用价格函数合理地分配消息副本数。在PVCT策略中,节点根据判断情况分为正常节点和自私节点,当消息的跳数小于或等于两跳时,按照概率路由的策略进行转发;反之,当消息的跳数大于两跳时,若遇到的为自私节点,则执行虚拟货币交易的路由算法。携带消息节点的出价若高于转发节点的价格,则进行交易,更新各自的收益状态;否则,进入二次价格调整阶段以协调节点双方之前的虚拟报价。仿真实验表明,PVCT路由算法在DTN中能更好地促进消息的转发,从而提升网络的整体性能。

县域教育的兜底功能:社会基础与实现路径

县域教育深嵌在县域社会之中,既要承担一般化的教育功能,还要回应县域社会独特的教育需求。由于县域社会主要是乡村社会,当前乡村社会从整体走向碎片、农民家庭从完整走向分割、隔代教育的社会功能不齐全、教育城镇化加剧乡村学校衰败等社会变迁,使得县域教育中家庭主体、社会主体缺位,导致一些重要的教育功能无法实现,使县乡的孩子们的权利受到侵害,给其成长带来不良影响。为此,县乡学校要对县乡孩子们的教育进行权利和责任兜底。要实现教育兜底功能,县域教育就要集中力量办好乡校、县中及县域职业学校要向多中心教育目标转型,以确保县乡的孩子们有平等的机会和权利通过县域教育走出县乡,成为有知识、懂规范、人格健全、适应社会的人。

小针刀联合关节腔注射玻璃酸钠治疗肩周炎患者的效果

目的:分析小针刀联合关节腔注射玻璃酸钠治疗肩周炎患者的效果。方法:选取2020年3月—2023年2月福建中医药大学附属第二人民医院收治的100例肩周炎患者。根据随机数表法将其分为研究组与参考组,各50例。参考组给予关节腔注射玻璃酸钠治疗,研究组在参考组基础上给予小针刀治疗。比较两组治疗前后肩关节功能、疼痛程度及临床疗效。结果:治疗后,研究组总有效率显著高于参考组,两组活动度、功能、肌力、症状评分均升高,研究组上述指标均高于参考组,研究组视觉模拟评分法(VAS)评分低于参考组,差异有统计学意义(P<0.05)。结论:小针刀联合关节腔注射玻璃酸钠治疗肩周炎患者可以有效减轻疼痛程度,改善肩关节功能。

基于SPOC的翻转课堂教学法的应用效果分析——以医学“机能学实验”教学为例

为了评价基于SPOC的翻转课堂教学法在医学“机能学实验教学”中的应用效果分析,通过随机抽取右江民族医学院临床专业2017级4个本科班级的学生116人,采用基于SPOC的翻转课堂教学法,课程结束后以学生匿名填写问卷的方式,对应用效果进行评价。结果表明,多数学生认为该教学法在提高个人的自学能力、加深所学理论知识、增强团队合作意识、提高学习该课程的效率效果等方面有明显效果,并支持继续使用该教学法开展教学。因此,基于SPOC的翻转课堂教学法能促进学生学习的积极性,改善医学“机能学实验”的教学效果,可作为一种新型的教学方法应用于医学“机能学实验”的教学实践中。

关节镜联合小切口修复术治疗肩袖全层损伤的效果

目的观察关节镜联合小切口修复术治疗肩袖全层损伤的近期效果,并探讨关节镜联合小切口修复术的临床意义。方法选取2020年1月至2022年4月接受关节镜联合小切口修复术治疗的22例肩袖全层损伤患者为研究对象。比较术前、术后6个月随访时的疼痛视觉模拟评分法(VAS)评分、肩关节主动前屈角度、外旋角度及Constant-Murley、美国加州大学肩关节评分(UCLA)评分。结果术后6个月随访时,肩袖全层损伤患者的VAS评分低于术前,肩关节主动前屈角度、外旋角度大于术前(P<0.05)。术后6个月随访时,肩袖全层损伤患者的Constant-Murley、UCLA评分高于术前(P<0.05)。结论关节镜联合小切口修复术治疗肩袖全层损伤的效果显著,可明显降低肩关节疼痛,提高肩关节功能,有助于术后康复。

基于图像低维特征融合的航拍小目标检测模型

针对无人机航拍图像目标检测中视野变化大、时空信息复杂等问题,文中基于YOLOv5(You Only Look Once Version5)架构,提出基于图像低维特征融合的航拍小目标检测模型.引入CA(Coordinate Attention),改进MobileNetV3的反转残差块,增加图像空间维度信息的同时降低模型参数量.改进YOLOv5特征金字塔网络结构,融合浅层网络中的特征图,增加模型对图像低维有效信息的表达能力,进而提升小目标检测精度.同时为了降低航拍图像中复杂背景带来的干扰,引入无参平均注意力模块,同时关注图像的空间注意力与通道注意力;引入VariFocal Loss,降低负样本在训练过程中的权重占比.在VisDrone数据集上的实验验证文中模型的有效性,该模型在有效提升检测精度的同时明显降低复杂度.

FeNO联合TSLP对儿童咳嗽变异性哮喘与感染后咳嗽的鉴别价值及与小气道功能的关系

目的探究呼出气一氧化氮(FeNO)联合胸腺基质淋巴细胞生成素(TSLP)对儿童咳嗽变异性哮喘(CVA)与感染后咳嗽(PIC)的鉴别价值,并分析FeNO、TSLP与CVA病情、小气道功能的关系,为临床诊疗提供有利依据。方法选取2021年6月至2023年4月郑州大学第一附属医院儿科诊治收治的90例CVA患儿作为CVA组,另选取同期90例PIC患儿作为PIC组。比较两组患儿的临床资料和FeNO、TSLP水平,绘制受试者工作特征(ROC)曲线及曲线下面积(AUC)分析FeNO联合TSLP对CVA与PIC的鉴别价值;比较CVA不同病情严重程度和病情阶段患儿的小气道功能[FEF25(%)、FEF50(%)、FEF75(%)、FEF25~75(%)]和FeNO、TSLP水平,采用Spearman和Pearson相关系数法分析FeNO、TSLP与CVA小气道功能、病情阶段、病情严重程度的相关性。结果CVA组患儿的FeNO、TSLP水平明显高于PIC组,差异均有统计学意义(P<0.05);ROC分析结果显示,FeNO联合TSLP鉴别CVA与PIC的AUC最大(0.934),敏感度、特异度为87.78%、82.22%,明显高于各指标单独诊断(P<0.05);轻度组患儿的FEF25、FEF50、FEF75和FEF25~75>中度组>重度组,差异均有统计学意义(P<0.05);轻度组患儿的FeNO、TSLP水平<中度组<重度组,差异均有统计学意义(P<0.05);临床缓解期组患儿的FEF25、FEF50、FEF75、FEF25~75明显高于急性发作期组,FeNO、TSLP水平明显低于急性发作期组,差异均有统计学意义(P<0.05);Pearson相关系数法分析结果显示,FeNO、TSLP与FEF25、FEF50、FEF75、FEF25~75均呈负相关(P<0.05);Spearman相关系数法分析结果显示,FeNO、TSLP与病情阶段、病情严重程度均呈正相关(P<0.05)。结论与PIC患儿比较,CVA患儿FeNO、TSLP水平异常升高,其联合鉴别诊断CVA与PIC具有较高价值,且FeNO、TSLP水平与患儿病情、小气道功能密切相关。