Determination and Temperature Dependence of Plateau Modulus for Polymerization of Propylene to Isotactic Polypropylene with Ultra-high Molecular Weight under Catalysis of Ziegler-Natta Catalyst

The viscoelastic behavior of isotactic polypropylene with ultra-high molecular weight(UHPPH) and broad molecular weight distribution(MWD), produced in the presence of Ziegler-Natta catalyst, was investigated by means of oscillatory rheometry at 180 and 200 ℃, whose loss modulus(G″) plots at 180 and 200 ℃ versus the natural logarithm of angular frequency(ω) present a pronounced maximum at 34.35 and 69.21 rad/s, respectively, and do not show a maximum peak at 0.01-100 rad/s for Ziegler-Natta catalyzing ethylene-propylene random copolymerization(PPR) with a conventional molecular weight and broad MWD. The fact indicates that the high molecular weight is responsible for a maximum peak of G″(ω) vs. lnω curves for UHPPH. This makes it possible to determine the plateau modulus(G 0_N) of UHPPH from a certain experimental temperature G″(ω) curve directly. For UHPPH, the G 0_N determined to be 4.28×10 5 and 3.62×10 5 Pa at 180 and 200 ℃, respectively, decreases with the increase of temperature and is independent of the molecular weight, which directly confirms reputation theoretical prediction that the G 0_N has no relation to the molecular weight.

Multilinear commutators of BMO functions and multilinear singular integrals with non-smooth kernels

This paper is concerned with certain multilinear commutators of BMO functions and multilinear singular integral operators with non-smooth kernels. By the sharp maximal functions estimates, the weighted norm inequalities for this kind of commutators are established.

Commutators of Weighted Lipschitz Functions and Multilinear Singular Integrals with Non-Smooth Kernels

This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels and the weighted Lipschitz functions. Some mapping properties for two types of commutators on the weighted Lebesgue spaces, which extend and generalize some previous results, are obtained.

Equivalence between Modulus of Smoothness and K-Functional on Rotation Group SO(3)

In this paper we obtain the equivalence between modulus of smoothness and K-functional on rotation group SO(3).

Equivalence of <i>K</i>-Functionals and Modulus of Smoothness Generated by a Generalized Dunkl Operator on the Real Line

This paper is intended to establish the equivalence between K-functionals and modulus of smoothness tied to a Dunkl type operator on the real line.

CHARACTERIZATION OF HLDER SPACES CORRESPONDING TO DITZIAN-TOTIK MODULUS OF SMOOTHNESS

For the step-weight function , we prove that the Holder spaces ∧a,p on the interval [-1,1], defined in terms of moduli of smoothness with the step-weight function ,are linearly isomorphic to some sequence spaces, and the isomorphism is given by the cofficients of function with respect to a system of orthonormal splines with knots uniformly distributed according to the measure with density . In case ∧a,p is contained in the space of continuous functions, we give a discrete characterization of this space, using only values of function at the appropriate knots. Application of these results to characterize the order of polynomial approximation is presented.

Toeplitz Operator Related to Singular Integral with Non-Smooth Kernel on Weighted Morrey Space

Let T1 be a singular integral with non-smooth kernel or ±I, let T2 and T4 be the linear operators and let T3 = ± I. Denote the Toeplitz type operator by Tb = T1M^b Ia T2 ＋ T3IaMbT4,where M^bf = bf, and Ib is the fractional integral operator. In this paper, we investigate the boundedness of the operator Tb on the weighted Morrey space when b belongs to the weighted BMO space.

A Class of Smoothing Modulus-Based Iterative Method for Solving Implicit Complementarity Problems

In this paper, a class of smoothing modulus-based iterative method was presented for solving implicit complementarity problems. The main idea was to transform the implicit complementarity problem into an equivalent implicit fixed-point equation, then introduces a smoothing function to obtain its approximation solutions. The convergence analysis of the algorithm was given, and the efficiency of the algorithms was verified by numerical experiments.

权重推断与标签平滑的轻量级人脸表情识别

针对轻量级网络在复杂环境下对面部表情的特征提取不够充分、模型参数存在冗余以及单标签数据集无法有效描述复杂情感倾向所带来的歧义表情等问题,提出了一种结合改进ShuffleNet与标签平滑学习的人脸表情识别方法。通过对原始网络的分析与剪裁,得到了改进后更紧凑的K5_Light_ShuffleNet,不仅优化了网络参数,还提高了模型的表征能力。为了增强模型对人脸表情图像局部细节特征的提取能力,抑制非表情特征,在模型中嵌入了设计的轻量化通道空间关键权重推断模块。通过标签平滑学习方法,在不引入额外信息的前提下,利用软标签分布监督网络的学习,以减少由于歧义表情对识别性能所带来的不利影响。实验结果表明,在公开的RAF-DB、AffectNet-7和AffectNet-8数据集上分别达到了86.91%、61.80%和58.75%的表情识别准确率,相较于目前其他人脸表情识别方法,其识别率有一定提高,同时模型参数量和计算量均保持在较低水平,利于其在实际中的应用。

Orlicz空间中二元多项式插值的逼近

该文研究Orlicz空间中以Lissajous-Chebyshev结点为插值结点的二元多项式插值逼近问题.借助Holder不等式,光滑模等基本工具,利用Marcinkiewicz-Zygmund不等式及最佳单边逼近首先给出了Orlicz空间中高阶插值逼近的逼近度,其次研究了在不同情况下的二元插值逼近问题,利用光滑模,有界变差函数的总变差及最佳多项式逼近的阶给出了二元插值逼近度的估计.

血清镁离子浓度与直肠癌患者谷氨酰转肽酶的关系

直肠癌患者血清镁离子(Mg^(2+))浓度对γ-谷氨酰转肽酶(γ-GT)的影响尚不明确,收集分析临床数据,Mg^(2+)浓度不呈正态分布(D=0.737,P<0.05),按照中位数分组,比较不同组间临床病理特征的差异,用局部加权散点平滑(LOWESS)、分段线性回归方法,拟合血清Mg^(2+)浓度与γ-GT的关系。结果发现,与Mg^(2+)浓度小于0.92 mmol/L组的直肠癌患者比较,Mg^(2+)浓度≥0.92 mmol/L组的γ-GT和血清总胆固醇较高(P均<0.05)。LOWESS的结果表明,原始数据中血清Mg^(2+)浓度的两个变化点分别为0.92 mmol/L和0.99 mmol/L,自然对数转换的数据中血清Mg^(2+)浓度的另外两个变化点分别为-0.167和-0.01。利用原始数据建立的两段线性回归模型表明,血清Mg^(2+)浓度的变化点为0.98 mmol/L,Mg^(2+)浓度<0.98 mmol/L对γ-GT有正向影响,Mg^(2+)≥0.98 mmol/L时有负向影响。另一个使用自然对数转换数据的两段线性回归模型显示,血清Mg^(2+)浓度的变化点为0.01,其中Mg^(2+)浓度的自然对数<0.01对γ-GT有正向影响,当Mg^(2+)浓度的自然对数≥0.01时则有负向影响。用原始数据LOWESS回归的2个拐点,即0.92 mmol/L和0.99 mmol/L的Mg^(2+)浓度,进行三段线性回归分析,结果显示,<0.980 mmol/L的Mg^(2+)浓度,对γ-GT的影响是正向的,且与<0.929 mmol/L的Mg^(2+)浓度区间的系数不同,影响程度不同,而在≥0.980 mmol/L的Mg^(2+)浓度区间,对γ-GT的影响是负向的,此外,用对数转换数据LOWESS的2个拐点进行的三段线性回归,也显示Mg^(2+)浓度的自然对数以-0.020为分界点时,对γ-GT的影响方向是相反的,但三段线性回归模型均没有统计学意义,总之,具有较高Mg^(2+)浓度的直肠癌患者,其γ-GT的水平也较高,Mg^(2+)浓度对γ-GT的影响存在拐点效应,为γ-GT的关联因素研究提供了基础。

Orlicz空间中带指数权的多项式逼近

在Orlicz空间中研究了带指数权w(x)=e^(-(1-x^(2))^(-α))(α>0)的多项式逼近问题,通过引入新的光滑模和相关K-泛函,运用Hölder不等式以及相关分析技巧证明了Orlicz空间中带指数权的Jackson定理和它的弱形式,并得到了一个新的Bernstein不等式.

基于ε-level蝙蝠算法的无人机三维航迹规划

针对复杂地形环境、存在各种威胁和约束的无人机航迹规划问题,提出了一种基于ε-level改进蝙蝠算法的航迹规划算法。根据无人机目标函数和约束条件,建立无人机三维航迹规划模型;其次,针对蝙蝠算法处理高维带约束问题存在的早熟现象,设计了自适应权重系数和迭代阈值以平衡算法的探索能力和开发能力,并结合ε-level比较策略提高算法对非凸非线性约束优化问题的处理能力;设计了转弯半径可变的Dubins曲线用来对航迹进行平滑处理并解决2个航迹点连线贯穿地形的问题。通过仿真实验,并与蝙蝠算法、粒子群优化算法、ε-level粒子群优化算法和ε-level差分进化算法相比较,所提算法在开发能力、稳定性和成功率等方面都表现出较优的性能。

在宽温度范围内具备低模量压敏胶的制备和性能研究

使用丙烯酸异辛酯(2-EHA)作为软单体,丙烯酸甲酯(MA)作为硬单体,4-羟基丁基丙烯酸酯缩水甘油醚(4-HBAGE)、丙烯酸羟乙酯(2-HEA)作为官能单体,1,6-己二醇二丙烯酸酯(HDDA)作为内交联单体,醚化氨基树脂(L-109-65)作为热固化交联剂,采用溶剂法自由基连锁加聚工艺制得聚丙烯酸酯压敏胶。探讨了原胶配方中软硬单体的比例、HDDA的添加量、热固化交联剂的添加量对压敏胶性能、不同温度下弹性模量的影响。研究结果表明:(1)硬单体(MA)质量比的增加,会造成丙烯酸酯压敏胶的初粘力不断降低,持粘力不断增加,剥离强度先增加后降低;储能模量均随着样品温度的逐渐升高而逐渐降低。综合压敏胶性能和不同温度下的模量数据,选择软硬单体的质量比为89∶11较好。(2)当过氧化苯甲酸叔丁酯(TBPB,引发剂C)添加量为0.2%、HDDA添加量为0.3%时,制备的丙烯酸酯压敏胶的重均分子量(Mw)可以达到1.02×10^(6),数均分子量(Mn)可以达到3.10×10^(5)。(3)探究了热固化交联剂添加量对压敏胶性能和不同温度下模量的影响,热固化交联剂的添加量选择0.45%(质量分数)为宜。(4)所制备的丙烯酸酯压敏胶在原胶拥有高分子量的同时,还能够兼顾较好的高温(80℃)持粘力,初粘力较好,剥离强度较高,是一款压敏性能优异、在宽温度范围内具备低模量的溶剂型丙烯酸酯压敏胶。

复杂背景下基于SIFT算法的局部遮挡人脸识别

由于复杂的背景环境中存在大量噪声点、平滑点以及失真点,影响人脸识别效果,提出基于SIFT算法的局部遮挡人脸识别方法。考虑到噪声因素的影响建立尺度不变高斯函数,通过该函数描述原始图像的噪声干扰,查找平滑程度最高的像素点,以像素均值作为参考,对像素点及周围区域实行平滑约束。建立包含眼睛、鼻子、嘴巴以及耳朵的面部特征子集,与标准图像比对,采用最大期望算法提取重叠度最高的面部特征,作为人脸识别的参照标准。采用两个向量的内积衡量人脸图像与参考值之间的相似度,计算存在和不存在局部遮挡的特征权重,建立置信区间,代入面部特征权重实施置信对比,完成人脸识别。实验结果表明,所提方法的识别精准度较高,在灰度变化、噪声以及局部遮挡的情况下均能够保证识别精度。

基于改进引导滤波的图像边缘检测算法研究

针对Canny算法中图像平滑导致细节缺失,且不能动态判别、锐化图像边缘的问题,提出了一种基于自适应加权引导滤波的Canny边缘检测算法。该算法对引导滤波做出两点改进:一是通过移位技术增加引导图像边缘坡度,实现图像锐化;二是引进分段权值模型对引导滤波算法的正则化参数自适应修正,使其能够根据梯度信息区分边缘和非边缘,从而自动改变平滑程度。较传统Canny算法,采用本算法处理的图像PSNR(峰值信噪比)提高了1.50~6.92dB,PFOM(Pratt品质因数)提高了0.02~0.31。实验结果表明:该算法能有效地锐化图像,提取到完整清晰的边缘。

NBR/PVC共混胶动态力学及温敏特性研究

研究了中高丙烯腈含量的NBR与低聚合度PVC的加工工艺及动态力学等性能,并利用带温调控装置和万能拉力机测定了NBR/PVC在不同温度(-10~50℃)条件下的应力应变曲线并与NBR、IIR进行对比。结果表明,NBR/PVC共混胶的模量及力学性能具有较强的温度敏感性,在温度10~20℃区间内,NBR/PVC共混胶逐渐从玻璃态向高弹态转移,外力作用下形变量迅速增加,表现为弹性模量、拉伸强度、断裂伸长率的急剧变化。这一结果与DMA测试的玻璃化转变温度结果相吻合。

A New Class of Banach Spaces with Uniform Normal Structure

Let X be a Banach space, S(X) be the unit sphere of X, φ be a function: S(X)→ S(X *) such that φ(x)∈ x, and v φ(ε) =inf 1-12x+y: x,y∈S(X), and 〈φ(x), x-y 〉≥ε, 0≤ε≤2, where x is the set of norm 1 supporting functionals of S(X) at x. A geometric concept, modulus of V convexity V(ε)= sup {V φ(ε), for all φ: S(X)→S(X *)}, is introduced; the properties of V(ε) and the relationship between V(ε) and other geometric concepts are discussed. The main result is that V12>0 implies normal structure.

Determination of reduced Young s modulus of thin films using indentation test

The flat cylindrical indentation tests with different sizes of punch radius were investigated using finite element method （FEM） aimed to reveal the effect of punch size on the indentation behavior of the film/substrate system. Based on the FEM results analysis, two methods was proposed to separate film＇s reduced Young＇s modulus from a film/substrate system. The first method was based on a new weight function that quantifies film＇s and substrate＇s contributions to the overall mechanical properties of the film/substrate system in the flat cylindrical indentation test. The second method, a numerical approach, including fitting and extrapolation procedures was put forward. Both of the results from the two methods showed a reasonable agreement with the one input FE model. At last, the effect of maximum indentation depth and the surface micro-roughness of the thin film on the reduced Young＇s modulus of the film/substrate system were discussed. The methods proposed in the present study provide some new conceptions on evaluating other properties of thin films, e.g. creep, for which a flat-ended punch is also employed.

APPROXIMATION BY RATIONAL FUNCTIONS WITH POLYNOMIALS OF POSITIVE COEFFICIENTS AS THE DENOMINATORS

The present paper proves that if（x） ∈ C[0,1], changes its sign exactly l times at 0 〈 y1〈 y2 … 〈 y1 〈 1 in （0, 1）, then there exists a pn（x） ∈ Пn（＋）, such that ｜f（x）- p（x）/pn（x）｜≤ Cωφ（f,n^（-1/2））, where ρ（x） is defined by ρ（x）={^lПi=1（x-yi）,if f （x）≥0 for x ∈（y1,1）, {-^lПi=1（x-yi）,if f （x）〈0 for x ∈（y1,1）, which improves and generalizes the result of .