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.

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.

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

This paper investigates the existence of periodic solutions of a three-species food-chain diffusive system with Beddington-DeAngelis functional responses and time delays in a two-patch environment on time scales. By using a continuation theorem based on coincidence degree theory, we obtain sufficient criteria for the existence of periodic solutions for the system. Moreover, when the time scale T is chosen as R or Z, the existence of the periodic solutions of the corresponding continuous and discrete models follows. Therefore, the method is unified to provide the existence of the desired solutions for continuous differential equations and discrete difference equations.

基于改进Res2Net与迁移学习的水果图像分类

针对传统水果图像分类算法特征学习能力弱和细粒度特征信息表示不强的缺点,提出一种基于改进Res2Net与迁移学习的水果图像分类算法。首先,针对网络结构,在Res2Net的残差单元中引入动态多尺度融合注意力模块,对各种尺寸的图像动态地生成卷积核,利用meta-ACON激活函数优化ReLU激活函数,动态学习激活函数的线性和非线性,自适应选择是否激活神经元;其次,采用基于模型迁移的训练方式进一步提升分类的效率与鲁棒性。实验结果表明,该算法在Fruit-Dataset和Fruits-360数据集上的测试准确率相比Res2Net提升了1.2%和1.0%,召回率相比Res2Net提升了1.13%和0.89%,有效提升了水果图像分类性能。

基于改进YOLOv8的交通场景实例分割算法

提出一种基于改进型YOLOv8的实例分割算法(DE-YOLO)。为减少图像中复杂背景的干扰,引入高效多尺度注意力机制,跨维交互使各特征组内空间语义特征平均分布。在主干网络部分,使用可变形卷积DCNv2结合C2f卷积层,突破原始卷积限制,提升可变性。为减小有害梯度并提升检测器精度,采用动态非单调聚焦机制Wise-交并比(WIoU)替代联合完全交并(CIoU)损失函数进行质量评估,优化检测框定位,提升分割精度。同时,通过开启Mixup数据增强处理,充实数据集,丰富训练特征,提升模型学习能力。实验结果表明,DE-YOLO在城市景观数据集Cityscapes中的掩模平均精度均值(mAPmask)较基准模型YOLOv8n-seg提高了2.0百分点,IoU阈值为0.5时的平均精度提升了3.2百分点,所提算法在提升精度的同时,保持了优良的检测速度和较少的参数量,模型参数量较同类模型低2.2~31.3百分点。

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.

高压射流协同pH循环处理对大米-豌豆复合蛋白功能性及结构的影响

为探究复合植物蛋白经高压射流磨与p H循环共同处理后的增溶作用,明晰其增溶机制,采用大米蛋白与豌豆蛋白作为原料,配制蛋白比例1:1,总蛋白浓度4%的混合蛋白溶液,并将混合液p H调整至12,在高压射流磨不同压力下进行处理,再将溶液pH调回中性后得到复合蛋白。采用氮溶解指数、粒径、荧光光谱、圆二色谱、分子量等手段表征本工艺过程中复合蛋白理化性质和结构的变化。结果表明,经高压射流磨协同pH循环处理4%的复合蛋白,复合蛋白氮溶解指数随着压力增大而提升,处理压力为120MPa时,氮溶解指数为92.67%±0.77%。扫描电镜与粒径结果显示,射流磨处理后的复合蛋白尺寸降低,比表面积增大。内源荧光光谱、表面疏水性、巯基二硫键、圆二色谱结果显示,两种蛋白之间产生了相互作用,形成了新的共架体,且复合蛋白随处理压力增大,表面疏水性由4025.33显著增大至7359.45(P<0.05),疏水区域增加、游离巯基含量由26.46±0.32μmol/g显著上升至最高32.66±0.35μmol/g(P<0.05),二硫键含量由9.86±0.42μmol/g显著下降至5.48±0.27μmol/g(P<0.05),α-螺旋实际含量(25.3%)高于理论值(21.83%),二级结构向更亲水的α-螺旋转变。此外,氨基酸分析显示复合蛋白的氨基酸配比均衡完整。经处理后的复合蛋白在高溶解性的基础上,乳化与起泡性能均明显优于大米蛋白与豌豆蛋白。本研究表明高压射流磨协同pH循环的处理方法能够有效改善复合蛋白的功能特性,为植物蛋白工业化增溶改性提供理论支撑。

吞咽-嗓音综合评估量表的编制及信效度检验

目的:编制吞咽-嗓音综合评估量表并检验其信效度。方法:基于不悦症状理论,通过文献回顾、半结构化访谈和专家函询形成吞咽-嗓音综合评估量表初稿。于2023年10月—12月,便利选取太原市2所三级甲等医院166例病人作为调查对象,对量表进行项目分析及信效度检验。结果:构建的吞咽-嗓音综合评估量表包含吞咽功能、吞咽嗓音协同影响、嗓音功能3个维度,共24个条目。2轮专家函询问卷回收率分别为93.8%和100.0%,专家权威系数分别为0.934和0.903,肯德尔和谐系数分别为0.196和0.347(均P<0.001)。量表水平的内容效度指数为0.875,条目水平的内容效度指数为0.830~1.000;探索性因子分析提取3个公因子,累计方差贡献率为62.600%;量表各维度间得分的Pearson相关系数为0.425~0.492,各维度得分与量表总分的Pearson相关系数为0.720~0.892;量表效标关联效度为0.469(P<0.01);量表总体的Cronbach'sα系数为0.921,折半信度为0.884。结论:吞咽-嗓音综合评估量表具有科学性和实用性,可作为吞咽障碍筛查工具。

PNF联合下肢机器人训练对脑卒中患者姿势及步行功能的影响

目的:探讨PNF联合下肢机器人训练对脑卒中患者姿势及步行功能的影响。方法:采用随机数字表法将44例脑卒中患者分成观察组和对照组各22例,两组患者均给予常规康复治疗及PNF训练,观察组在此基础上增加下肢机器人训练,分别于治疗前及治疗4周后采用脑卒中姿势量表(PASS)、功能性步行分级量表(FAC)、Berg平衡量表、肌张力改良Ashworth量表(MAS)评估患者的姿势及平衡步行功能。结果:治疗前,两组患者各量表评分差异均无统计学意义(P>0.05)。治疗4周后,两组患者PASS、FAC功能性步行分级、Berg量表评分较治疗前差异均有统计学意义(P<0.001),且观察组较对照组差异有统计学意义(P<0.001),两组患者MAS分级差异无统计学意义(P>0.05)。结论:PNF联合下肢机器人训练,有助于改善脑卒中患者姿势及平衡功能,提高其步行能力。

基于优化YOLOv8的唐卡图像目标检测方法

唐卡中的元素绘制复杂且存在的多尺度情况会影响目标检测技术任务的准确度。为此,提出一种优化YOLOv8模型的唐卡元素目标检测方法。首先,采用级联融合网络提取图像特征,并将特征提取参数用于后续的特征融合,以有效增加参数利用效率;其次,借鉴双向特征金字塔网络的思想,在同一层的特征信息传递层中增加一条额外的路径实现跨尺度连接,以提升模型特征融合能力;最后,在检测头的回归损失函数中引入ElOU-Loss和ClOU-Loss,考虑边界框回归的多种因素,结合宽高和宽高比参数来提升模型目标定位效率和准确率。实验表明,优化后的YOLOv8模型相较于原有模型参数量、计算量分别下降7.21%、7.23%,mAP50、mAP50-95分别提升3.72%、4.55%;相较于其他目标检测算法优势明显;消融实验也验证了不同改进模块对模型的积极作用。

基于加权Ripley's K-function的多尺度景观格局分析——以江苏盐城滨海湿地为例

以1987,1992,1997,2002,2007年的遥感影像为例,首次尝试使用加权Ripley's K-function的多尺度格局分析方法,计算了20年来景观异质性在江苏盐城滨海湿地的时间变化和空间分布趋势。通过对研究区的样带划分以及景观类型的点状化处理,建立滨海湿地样带图层和1987—2007年间各类型景观的点格局数据库,从而分析滨海湿地不同类型景观的空间聚集特征变化。基于加权Ripley's K-function的计算表明,在各级空间尺度和时间变化上,各类型湿地的斑块都呈现出空间聚集分布状态,且1987年以来,不同湿地类型的聚集空间特征尺度和空间分布强度均出现了大幅的增减变化,除互花米草滩之外的自然湿地的聚集空间特征尺度和强度都有明显下降甚至少到无法被检测到,而人工湿地却呈现聚集特征尺度和强度的双增长,且该聚集程度有逐渐增强的趋势。分析表明,既考虑样点的空间位置信息又考虑样点分布范围的加权Ripley's K-function方法能很好地表征湿地景观在多尺度上的变异,且与传统空间景观指数等分析方法的结论在一定程度上保持一致。

A Systemic-Functional Approach to English Ambiguity

This thesis chooses the theory of rank scale and the theory of meta-function in the framework of Systemic-Functional Grammar(SFG)to study ambiguity.It firstly analyzes ambiguities occurring at the rank of morpheme,word or phrase.Then it studies ambiguities at the rank of clause,from ideational ambiguity to textual ambiguity.This study shows that SFG can give a systematic and comprehensive interpretation of English ambiguity.

多功能浮动港应用研究

自20世纪20年代以来,不断有对海上大型浮体的概念设想以及具体的开发建设实践,在总结归纳现有多功能浮动港开发应用实例基础上,分析多功能浮动港的应用场景和主要需求,包括解决城市空间矛盾、助力岛礁开发和保护、为海洋资源开采提供支撑、为水上活动提供服务等。总结多功能浮动港主要特征,提出按水平投影面积将浮动港分为6个规模等级,以便在建设开发中进行归类管控,按功能将浮动港划分为商业型、公共服务型、居住型、生产服务型、特殊服务型等5种类型。经过技术、政策、经济方面初步适应性分析,结构单元模块的介绍,以及主要技术问题的分析,认为在我国应用尚处于起步阶段的浮动港契合未来海洋经济的发展需求,具备较为广阔的应用前景。

2-D NONSEPARABLE SCALING FUNCTIONINTERPOLATION AND APPROXIMATION

The authors introduce nonseparable scaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. Several equivalent statements of accuracy of nonseparable scaling function are also given. In the numerical experiments, it appears that nonseparable scaling function interpolation has better convergence results than scalar wavelet systems in some cases.

Notes on the Scaling Function

Two properties are given in this paper about the scaling function: suppose Vj; j ∈ Z is a multiresolution analysis with a continuous scaling function φ which have compact support set and that φ the Fourier transform of φ is a continuous real function, compactly supported, then φ(0) ≠ 0 and when supp φ = [a1,b1]∪[a2,b2](b1 < a2,0 < a2), then we havea1 ≤ 0, 0 < b1, a1 < b2/2 ≤ b1, 2π < b2 - a1 ≤ 8π.