关于一个Hilbert类积分不等式的推广及应用

本文引入单参数，对一个积分型Hilbert类不等式作具有最佳常数 推广。作为应用，建立它的等价形式。     

聚酯型嵌段聚氨酯溶液性质的研究

聚氨酯的稀溶液性质已有一些研究,而聚酯型嵌段聚氨酯(PESU)溶液性能的研究却不多,不同硬软段比例的聚酯型嵌段聚氨酯。在文献上找不到合适的Mark-Houwink方程式;其溶解性能以及大分子在溶液中的型态的讨论,也未见报导。本文用多种方法研究了PESU的溶液性质。     

激光解吸/傅里叶变换质谱法研究聚醚的平均分子量和分布

激光解吸/傅里叶变换质谱(Laser Desorption/Fourier Transform MassSpectrometry,LD/FTMS)技术是测定高分子低聚物(MW=1000-10000)平均分子量和分布的一种新的有效方法。采用这项技术,本文研究了一系列的均聚醚和共聚醚,得到了占主导地位的含K~+的准分子离子分布图,用自编程序处理这些数据得到的数均分子量与VPO、GPC、NMR等方法的测定值相一致。还讨论了样品制备中的碱金属盐和实验参数对测定结果的影响等问题。     

化学平衡有向图

根据化学平衡原理和图论中的基本概念，提出了一种适用于化学平衡计算的赋权有向图。这种有向图具有三个重要性质：其一，边的方向改变则该边的权随着取逆(取原权的倒数或负值)；其二，顺乘逆除(或顺加逆减)一条路上的各权得到自起点至终点的累积权；其三，回路的权等于1(或零)。本文主要叙述这种图的提出及其在化学平衡中的初步应用。     

有机高性能纤维材料的轴向压缩变形行为

介绍了利用偏光显微镜、扫描电子显微镜及Ｘ射线衍射等方法研究具有伸直链结构的有机高性能纤维及膜材料的轴向压缩变形行为。在初级变形阶段，因晶面滑移形成与纤维轴呈一定角度并较有规则的变形带。变形带内大分子受剪切作用发生挫屈或折断。随变形程度增加，变形带堆积厚度以及分布密度增大。如果继续增大变形程度，微原纤维间的相对滑移使材料大分子发生剧烈的侧向位移、高度取向和结晶材料所特有的结构各向异性同性化，试样轴向长度明显缩短，最终导致破坏。     

Application of stress induces ascorbate peroxidases of S. polyrhiza for green-synthesis Cu nanoparticles

The objective of this study was to assess the effects of stress on physiology/biochemical component of S. polyrhiza and its impact on CuNPs synthesis and bioethanol production. NaCl with RV5 provokes oxidative stress in S. polyrhiza and significantly increase MAD, Proline, H₂O₂, ROS, SOD and APX activity compare to control condition. Starch accumulation in S. polyrhiza was found 354% higher and correspond 4.4 times higher ethanol yield under stress condition compare to control. CuNPs were synthesized with an average size of 23–26 nm by purified fraction of APX having 37 KDa MW, 1.44 IU specific activity. Synthesized CuNPs were stable up to 15 consecutive cycles and potency against wide range of reactive dyes. The maximum remedial efficiency of synthesized CuNPs for COD and BOD was 55263.3 ± 3298.5 mg/m³min. and 30560.3 ± 1987.5 mg/m³min. respectively for RV5 wastewater. 0.072 mg/g of bioethanol was produced from the wet pulp remaining after nanoparticles synthesis. High efficiency of CuNPs and significant production of Ethanol, indicate that the feasibility for circular model for continuous industrial wastewater treatment.     

Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds

A new family of weight systems of finite type knot invariants of any positive degree in orientable 3-manifolds with non-trivial first homology group is constructed. The principal part of the Casson invariant of knots in such manifolds is split into the sum of infinitely many independent weight systems. Examples of knots separated by corresponding invariants and not separated by any other known finite type invariants are presented.     

毕达哥拉斯模糊软集的相似性测度及其应用

直觉模糊软集不能处理隶属度与非隶属度之和大于1的情况,且现有的直觉模糊软集的相似性测度只考虑了隶属度与非隶属度,忽视了犹豫度。针对以上问题,本文提出了一种基于隶属度、非隶属度以及犹豫度三个参数的毕达哥拉斯模糊软集的相似性测度和加权相似性测度。在为加权相似性测度的权重取值时,本文基于现有文献中直觉模糊熵存在的缺陷建立一种改进的直觉模糊熵,利用熵权法计算权重。分别讨论两相似性测度公式的性质,最后将两相似性侧度公式应用在建筑材料的模式识别问题中。     

Multidimensional Hardy-type inequalities with general kernels

Some new multidimensional Hardy-type inequalities involving arithmetic mean operators with general positive kernels are derived. Our approach is mainly to use a convexity argument and the results obtained improve some known results in the literature and, in particular, some recent results in [S. Kaijser, L. Nikolova, L.-E. Persson, A. Wedestig, Hardy-type inequalities via convexity, Math. Inequal. Appl. 8 (3) (2005) 403-417] are generalized and complemented.     

Analysis of Low Hamming Weight Products

Hoffstein and Silverman suggested a use of Low Hamming Weight Product (LHWP) to compute a random power in a group or a multiple of an element in a ring. It reduces the computation of powers in a group with fast endomorphisms such as the Galois field F_2ⁿ and Koblitz elliptic curves. In this paper, we introduce a reduced representation of LHWP and apply them to attack the relevant cryptosystems.