Construction theory of dyadic scale function and dyadic wavelet function

We derive the conditions for the existence of the unique solution of the two scale integral equation and the form of the solution, according to the method of the construction of the dyadic scale function. We give the construction of the dyadic wavelet and its necessary and sufficient condition. As an application, we also develop a pyramid algorithm of the dyadic wavelet decomposition.

POLY-SCALE REFINABLE FUNCTION AND THEIR PROPERTIES

Poly-scale refinable function with dilation factor a is introduced. The existence of solution of poly-scale refinable equation is investigated. Specially, necessary and sufficient conditions for the orthonormality of solution function Ф of poly-scale refinable equation with integer dilation factor a are established. Some properties of poly-scale refinable function are discussed. Several examples illustrating how to use the method to construct poly-scale refinable function are given.

Gait and Glasgow Coma Scale scores can predict functional recovery in patients with traumatic brain injury

Fifty-one patients with mild （n -- 14）, moderate （n = 10） and severe traumatic brain injury （n = 27） received early rehabilitation. Level of consciousness was evaluated using the Glasgow Coma Score Functional level was determined using the Glasgow Outcome Score, whilst mobility was evaluated using the Mobility Scale for Acute Stroke. Activities of daily living were assessed using the Barthel Index. Following Bobath neurodevelopmental therapy, the level of consciousness was significantly improved in patients with moderate and severe traumatic brain injury, but was not greatly influenced in patients with mild traumatic brain injury. Mobility and functional level were significantly improved in patients with mild, moderate and severe traumatic brain injury. Gait recovery was more obvious in patients with mild traumatic brain injury than in patients with moderate and severe traumatic brain injury. Activities of daily living showed an improvement but this was insignificant except for patients with severe traumatic brain injury. Nevertheless, complete recovery was not acquired at discharge. Multiple regression analysis showed that gait and Glasgow Coma Scale scores can be considered predictors of functional outcomes following traumatic brain injury.

Calculation of Scale of Fluctuation and Variance Reduction Function

The scale of fluctuation is one of the vital parameters for the application of random field theory to the reliability analysis of geotechnical engineering. In the present study, the fluctuation function method and weighted curve fitting method were presented to make the calculation more simple and accurate. The vertical scales of fluctuation of typical layers of Tianjin Port were calculated based on a number of engineering geotechnical investigation data, which can be guidance to other projects in this area. Meanwhile, the influences of sample interval and type of soil index on the scale of fluctuation were analyzed, according to which, the principle of determining the scale of fluctuation when the sample interval changes was defined. It can be obtained that the scale of fluctuation is the basic attribute reflecting spatial variability of soil, therefore, the scales of fluctuation calculated according to different soil indexes should be basically the same. The non-correlation distance method was improved, and the principle of determining the variance reduction function was also discussed.

Positively Worded Subscale Score of the Perceived Stress Scale Is Associated with Cognitive Domain Function

Objectives: To examine the cross-sectional associations of the separate subscales of the Perceived Stress Scale (PSS) and tests measuring cognitive domains in older adults. Methods: 897 adults over the age of 70 free of amnestic mild cognitive impairment and dementia and enrolled in the Einstein Aging Study made up the study sample. The PSS-14 was used to measure stress. Three cognitive domains (language, episodic memory, and frontal-executive) had previously been found using principle component analysis. Linear regression analyses were used to determine the relationship between the PSS subscales and cognitive domain function. Results: The study sample had a mean age of 79.1 years and 62.8% were female. Bivariate correlations show that the PSS-14 positively worded subscale of the PSS (PSS-PW) was significantly associated with all three cognitive domains (language: r = -0.15, p < 0.001;episodic memory: r = -0.16, p < 0.001;frontal-executive: r = -0.21, p <0.001) while the negatively worded subscale of the PSS (PSS-NW) was not significantly associated with any cognitive domain. In linear regression analyses adjusted for age, white race, gender, years of education, and depressive symptoms, the PSS-PW remained significantly associated with each of the cognitive domains. The PSS-NW was not associated with any cognitive domains in any model. The PSS-14 was significantly associated with language and episodic memory, but not the frontal-executive domain. Conclusion: Worse PSS-PW scores are associated with reduced cognitive function in the executive, memory, and language domains in nondemented older adults. The PSS-PW subscale correlated better with cognitive function than the overall PSS-14. Future research should evaluate the temporality of the association and if stress reduction therapies improve cognitive performance.

GU'S FUNCTION SCALE OF ION HYDRATION FORCE AND CHARGE SIZE

Water Vapor Chemistry" as a new science was discovered and established from trace analysis in Gu’s laboratory(Gu, 1991; Gu et al., 1991). Gu’s Function shows that the trace metal ion concentration in water vapor has positive correlation to"specific electron affinity constant"last ionization potential Iz/ion valence Z and negative correlation to ion volume V and coordination number N(Gu, 1994). Gu’s Func-tion C=f[(Iz/Z)/VN]of the bond parameter in water vapor chemistry corresponds to the potential energy function Z’ e2/r in the Schrodinger Equation of quantum chemistry. In different ions with the same 2+ charge, the ion concentration of water-water vapor transfer may be much different. This shows that the 2+ charge of different ions has different attractive force (hydration force). This different attractive force of the charge can be scaled with the relative energy or charge size from Gu’s Function.

Effect of non-pharmacological treatment on the full recovery of social functioning in patients with attention deficit hyperactivity disorder

BACKGROUND Long-term treatment of attention deficit/hyperactivity disorder(ADHD)is associated with adverse events,such as nausea and vomiting,dizziness,and sleep disturbances,and poor maintenance of late ADHD medication compromises treatment outcomes and prolongs the recovery of patients’social functioning.AIM To evaluate the effect of non-pharmacological treatment on the full recovery of social functioning in patients with ADHD.METHODS A total of 90 patients diagnosed with ADHD between May 2019 and August 2020 were included in the study and randomly assigned to either the pharmacological group(methylphenidate hydrochloride and tomoxetine hydrochloride)or the non-pharmacological group(parental training,behavior modification,sensory integration therapy,and sand tray therapy),with 45 cases in each group.Outcome measures included treatment compliance,Swanson,Nolan,and Pelham,Version IV(SNAP-IV)scores,Conners Parent Symptom Questionnaire(PSQ)scores,and Weiss Functional Impairment Rating Scale(WFIRS)scores.RESULTS The non-pharmacological interventions resulted in significantly higher compliance in patients(95.56%)compared with medication(71.11%)(P<0.05).However,no significant differences in SNAP-IV and PSQ scores,in addition to the learning/school,social activities,and adventure activities of the WFIRS scores were observed between the two groups(P>0.05).Patients with non-pharmacological interventions showed higher WFIRS scores for family,daily life skills,and self-concept than those in the pharmacological group(P<0.05).CONCLUSION Non-pharmacological interventions,in contrast to the potential risks of adverse events after longterm medication,improve patient treatment compliance,alleviate patients’behavioral symptoms of attention,impulsivity,and hyperactivity,and improve their cognitive ability,thereby improving family relationships and patient self-evaluation.

Quadratic Lyapunov Function and Exponential Dichotomy on Time Scales

In this paper, we study the relationship between exponential dichotomy and quadratic Lyapunov function for the linear equation x△=A（t）x on time scales. Moreover, for the nonlinear perturbed equation x△= A（t）x ＋ f（t, x） we give the instability of the zero solution when f is sufficiently small.

EXISTENCE OF PERIODIC SOLUTIONS TO A SYSTEM WITH FUNCTIONAL RESPONSE ON TIME SCALES

这篇论文调查有在二补丁的环境的 Beddington-DeAngelis 功能的回答和时间延期的散开的系统准时放大的三种类的食物链的周期的答案的存在。由基于巧合度理论使用一条继续定理，我们为系统的周期的解决方案的存在获得足够的标准。而且当时间规模 T 被选择为 R 或 Z 时，相应连续、分离的模型的周期的答案的存在列在后面。因此，方法被统一提供连续微分方程和分离差别方程的需要的解决方案的存在。

融合尺度与信心指数的三维表面重建算法

针对包含细小结构场景的三维表面重建精度和完整度难以提高的问题,提出一种融合三维点云尺度与信心指数的三维表面重建算法。构建了一个表面隐函数,采用高斯函数为其基函数,三阶贝塞尔函数为其权重函数,并根据点云尺度与信心指数大小自适应调整基函数覆盖范围与权重函数取值。采用八叉树存储与处理数据,根据点云尺度大小自适应划分八叉树结构,从而自适应调整表面隐函数三维采样密度。通过无约束等值面提取方法,提取隐函数等值面,从而得到三维表面。与几种典型表面重建算法对比实验,结果表明所提算法重建三维表面细节清晰,整体重建精度与完整度均有提高。

海域重力异常模型的多尺度分析

不同于传统的重力异常模型精度分析方法,本文以马里亚纳海沟区域(140°E—150°E,10°N—20°N)为例,利用DOG球面小波提取了DTU10、DTU17和SIO V32.1模型在不同波段内的重力异常信号,对模型间的差异进行了深入分析,并对基于径向基函数的不同深度、不同分辨率的多尺度分析进行了尝试。利用DOG球面小波对各模型多尺度分析的结果表明,随着尺度变小,模型间的差异在变大;DTU10、DTU17模型间的差异主要集中在10.9~43.6 km的波段内,分布在海岸、海沟、海底山附近,体现了Cryosat-2、Jason-1/GM观测数据和FES2014海潮模型的贡献;受模型构建方法不同、观测数据增多和波形重跟踪的影响,DTU17、SIO V32.1模型的差异大于DTU10、DTU17之间的差异。对传统径向基函数进行了改进,实现了多深度、多空间分辨率情况下径向基函数多尺度分析,结果略优于单一深度、单一空间分辨率径向基函数构建结果,有望应用于多源数据的重力场模型构建。

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。

基于改进小波阈值函数和全尺度Retinex的红外图像融合增强算法

针对现有红外图像增强算法存在信噪比低、细节模糊、清晰度差等问题,本文提出基于改进小波阈值函数和全尺度Retinex的红外图像融合增强算法。首先,为克服尺度参数固定和光线散射导致红外图像退化的问题,利用大气透射率得到Retinex尺度参数的全尺度映射图,从而有效提高图像的清晰度,并将输入图像和使用全尺度Retinex处理后的输入图像作为算法的第一个输入和第二个输入。其次,为解决传统小波阈值函数在图像降噪过程中存在伪影、细节丢失等问题,设计改进小波阈值函数,通过引入尺度因子,在计算每层高频子图小波系数后,能根据该层数自适应调整尺度因子,并引入调节因子,结合指数函数,使该函数不仅能抑制高频子图噪声,还能极大程度保留细节信息。然后,使用小波图像融合的方式融合输入的高频子图和低频子图,进一步提高输出图像的纹理细节。主客观仿真结果表明,所提算法比其它对比算法具有更好的降噪和细节突出能力,并能提高红外图像的人眼视觉效果。最后,本文算法应用于红外成像模块采集的红外图像增强,效果良好,表明本文方法具有实用性。

区间函数型数据构权方法研究

针对由数据量过大而引起的函数型综合评价信息损失或是计算复杂度过大等问题,文中提出了一种基于区间函数型数据的综合评价方法,并针对区间函数型数据表支持的综合评价问题的特殊性,提出了一种新的确定权重系数的"全局"拉开档次法.相较于函数型综合评价,区间函数型综合评价在呈现连续的函数特征同时,增加了区间化的步骤,能够更好地挖掘数据信息,提升综合评价的效率.最后通过以义乌小商品景气指数为例,分别使用函数型数据形式和区间函数型数据形式下的"全局"拉开档次法对其进行赋权,进而进行评价研究.结果表明该文提出的区间函数型综合评价方法更具优势.

基于Daubechies小波尺度函数的炉膛空气动力场声学层析重建方法

声学层析测量是一种先进、有前景的炉内空气动力场非接触重建方法,其中可靠、优化的重建模型算法是关键。小波尺度函数包含所确定尺度以下所有信号频率信息,便于有效重构包含复杂频率成分的场对象,鉴于此,该文提出以小波尺度函数为基对待测空间场层析重建的方法。其采用具有紧支撑、正交特点的Daubechies小波以获得更好的场重建辨识度;对几何参数进行归一化处理以适应不同炉膛断面尺寸的场重建;采用梯度下降法求解线性方程组,得到稳定可靠的结果。通过构建不同典型仿真断面流场并重建,该方法均得到与原设定场良好的一致性,从而证明所提出场重建方法的有效性与可靠性。

5种认知功能筛查量表在老年人中的应用效果分析

目的:评价三级甲等综合医院记忆门诊常用的5种认知筛查量表的应用效果,以期为临床医护人员进行神经认知障碍的评估和诊断提供参考依据。方法:选取2020年10月—2022年5月就诊于记忆门诊且主诉记忆减退的155例病人,经神经内科医生初诊,在征得病人同意后,开具认知障碍筛查处方,病人预约后由具有认知筛查培训资质的护士依次对病人及家属完成中文版认知功能检查量表-Ⅲ(ACE-Ⅲ)、简易智力状态检查量表(MMSE)、画钟测试4分法(CDT4)、蒙特利尔认知评估量表(MoCA)、认知障碍自评量表(AD8)和日常生活能力(ADL)量表的筛查,病人携带认知筛查结果、相关实验室及影像学检查结果到神经内科初诊专家处进行诊疗。结果:155例病人中,正常对照组72人,认知障碍组38例,痴呆组45例。5种认知筛查量表与相关因素间相关性比较结果显示,年龄、教育年限、认知障碍程度与中文版ACE-Ⅲ、MoCA相关性更为显著;认知障碍组病人中文版ACE-Ⅲ、MMSE、MoCA和AD8的受试者工作特征曲线下面积为0.698~0.788,MoCA、中文版ACE-Ⅲ和AD8对轻度认知障碍诊断的特异性分别为78.9%、76.3%和73.7%,敏感性分别为70.8%、58.3%和56.9%;痴呆组病人的中文版ACE-Ⅲ、MMSE、MoCA量表的受试者工作特征曲线下面积为0.915~0.931,其中MMSE、中文版ACE-Ⅲ和MoCA对痴呆诊断的敏感性分别为91.7%,84.7%和83.3%,特异性分别为86.7%、84.4%和84.4%。结论:对于具有记忆力减退、高龄、具有一定学历的病人宜选用MoCA、中文版ACE-Ⅲ在三级甲等综合医院记忆门诊筛查使用;认知筛查量表对轻度认知障碍筛查的准确性依次为MoCA>中文版ACE-Ⅲ>AD8,对痴呆筛查的准确性MMSE>中文版ACE-Ⅲ>MoCA。

A Note on an Economic Lot-sizing Problem with Perishable Inventory and Economies of Scale Costs:Approximation Solutions and Worst Case Analysis

This paper presents an economic lot-sizing problem with perishable inventory and general economies of scale cost functions. For the case with backlogging allowed, a mathematical model is formulated, and several properties of the optimal solutions are explored. With the help of these optimality properties, a polynomial time approximation algorithm is developed by a new method. The new method adopts a shift technique to obtain a feasible solution of subproblem and takes the optimal solution of the subproblem as an approximation solution of our problem. The worst case performance for the approximation algorithm is proven to be （4√2 ＋ 5）/7. Finally, an instance illustrates that the bound is tight.

MoCA量表在动脉瘤性蛛网膜下腔出血患者术后早期认知功能中的应用

目的 探索蒙特利尔认知评估(Montreal cognitive assessment,MoCA)量表在动脉瘤性蛛网膜下腔出血(aneurysmal subarachnoid hemorrhage,a SAH)患者术后早期认知功能中的应用。方法 选取2021年11月至2022年5月在温州医科大学附属第一医院神经外科住院的181例a SAH患者的临床资料,采用Mo CA量表评估患者术后各维度得分情况。以性别、年龄、受教育程度、高血压、责任动脉瘤内径、Hunt-Hess分级、手术方式等为变量,研究其与MoCA量表各维度得分的关系。采用Logistic回归分析探讨低分维度与术后认知功能的影响因素。结果 认知功能正常(≥26分)61例(36.31%)。语言维度的多因素分析结果示:受教育程度、年龄、手术方式、Hunt-Hess分级等在是否发生认知功能障碍中的比较,差异有统计学意义(P<0.05);延迟记忆的多因素分析结果示:受教育程度、Hunt-Hess分级、酗酒、脑卒中家族史、手术方式等在是否发生认知功能障碍中的比较,差异有统计学意义(P<0.05)。结论 a SAH患者术后早期认知功能障碍发生率高;语言、延迟记忆维度分数最低;低文化背景、高龄、开颅方式、Hunt-Hess高分级等更易造成语言及延迟记忆受损。

提取温度对乌鱼鱼鳞明胶功能性质和结构特性的影响

功能性质是衡量鱼明胶品质的重要因素,直接关系着鱼明胶的实际应用范围和价值。为探究提取温度对乌鱼鱼鳞明胶功能性质的影响,本研究以乌鱼鱼鳞为原料,采用热水法提取明胶,考察了不同温度(60、70、80、90、100℃)提取对鱼鳞表面形态、鱼鳞明胶得率、功能性质(起泡性、乳化性、凝胶强度、凝胶温度、胶融温度)的影响,并进一步通过SDS-PAGE、傅里叶变换红外光谱、扫描电镜探究鱼鳞明胶的结构特性。结果表明:当提取温度从60℃逐步升高到100℃,乌鱼鱼鳞表面的破损越来越严重,鱼鳞明胶得率从31.72%增加到50.97%,起泡能力从23.33%提升至73.33%,乳化活性从15.13 m^(2)/g增长到17.27 m^(2)/g,而凝胶强度、凝胶温度、胶融温度则从677.82 g、20.80℃、28.70℃分别降低至372.91 g、15.80℃、23.90℃。此外,随着提取温度的提升,电泳图中乌鱼鱼鳞明胶α_(1)、α_(2)、β链三条特征带逐渐模糊,红外光谱结果表明鱼鳞明胶都具有特征吸收峰(酰胺A、酰胺Ⅰ、酰胺Ⅱ、酰胺Ⅲ)且酰胺A带波数先升高后降低,扫描电镜结果显示鱼鳞明胶多孔网格结构的紧密程度降低。上述研究结果可为乌鱼鱼鳞明胶产业化提供理论依据。