Special John-Nirenberg-Campanato spaces via congruent cubes

Let p ∈ [1, ∞), q ∈ [1, ∞), α∈ R, and s be a non-negative integer. Inspired by the space JNp introduced by John and Nirenberg(1961) and the space B introduced by Bourgain et al.(2015), we introduce a special John-Nirenberg-Campanato space JN^con_(p,q,s) over Rⁿ or a given cube of R;with finite side length via congruent subcubes, which are of some amalgam features. The limit space of such spaces as p →∞ is just the Campanato space which coincides with the space BMO(the space of functions with bounded mean oscillations)when α = 0. Moreover, a vanishing subspace of this new space is introduced, and its equivalent characterization is established as well, which is a counterpart of the known characterization for the classical space VMO(the space of functions with vanishing mean oscillations) over Rⁿ or a given cube of Rⁿ with finite side length.Furthermore, some VMO-H¹-BMO-type results for this new space are also obtained, which are based on the aforementioned vanishing subspaces and the Hardy-type space defined via congruent cubes in this article. The geometrical properties of both the Euclidean space via its dyadic system and congruent cubes play a key role in the proofs of all these results.     

大学生童年受忽视经历对自尊的影响:应对方式的中介作用

为研究大学生在童年时受到忽视与自尊水平、应对方式之间的关系,采用方便抽样法,向430名学生发放童年受忽视量表、简易应对方式量表和自尊量表,使用统计软件SPSS17.0进行数据整理与分析,结果表明,大学生在童年时受到的忽视与自尊、处理应对的积极方式是负相关关系(r=-0.164,r=-0.246,P<0.01),忽视与消极应对方式呈正相关关系(r=0.152,P<0.01);自尊与大学生采用积极的应对方式呈正相关关系(r=0.398,P<0.01),与采用消极的应对方式呈负相关关系(r=-0.217,P<0.01);不同的应对方式在面临忽视与自尊之间起着协调作用,积极应对方式的协调效果有29.4%,而消极应对方式的协调效果则只有12.6%,差距十分明显。因此,大学生在童年时受到忽视与自尊、不同的应对方式会收到完全不同的协调效果。     

Nanocomposite hydrogel consisting of Na‐montmorillonite with enhanced mechanical properties

A new kind of nanocomposite (NC) hydrogel with Na‐montmorillonite (MMT) is presented in this article. The NC hydrogels were synthesized by free radical copolymerization of acrylamide and (3‐acrylamidopropyl) trimethylammonium chloride (ATC) in the presence of MMT and N,N′‐methylene‐bis‐acrylamide used as chemical cross‐linker. Due to the cation‐exchange reaction between MMT and ATC (cationic monomer) during the synthesis of NC hydrogels, MMT platelets were considered chemical “plane” cross‐linkers, different from “point” cross‐linkers. With increasing amount of MMT, the crosslinking degree enhanced, causing a decrease of the swelling degree at equilibrium. Investigations of mechanical properties indicated that NC hydrogels exhibited enhanced strength and toughness, which resulted from chemical interaction between exfoliated MMT platelets and polymer chains in hydrogels. Dynamic shear measurements showed that both storage modulus and loss modulus increased with increasing MMT content. The idea described here provided a new route to prepare hydrogels with high mechanical properties by using alternative natural Na‐MMT. © 2015 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2015 , 53, 1020–1026     

一个包含Smarandache Ceil函数的对偶函数的方程

利用初等方法研究了一个包含Smarandache Ceil函数Sk(n)的对偶函数-Sk(n),给出了当k=6时方程-S6(1)+-S6(2)+…+-S6(n)=6Ω(n)的具体正整数解。     

2种煤液化残渣氧化萃余物中杂原子化合物的鉴定

在40℃恒温水浴下用次氯酸钠对2种煤液化残渣进行氧化,将反应所得混合物用滤膜过滤,滤出液依次用石油醚、二硫化碳、四氯化碳和乙酸乙酯萃取,得到的萃取物用气相色谱/质谱(GC/MS)分析.根据分析结果系统地考察了2种煤液化残渣中所含杂原子化合物的分布,为从煤液化残渣中选择性地脱除这些杂原子化合物及提取高附加值化学品提供了一条路径.     

冬枣贮藏效果与相关酶活性的相关研究

以鄂北冬枣为材料,对果实采后低温贮藏过程中相关酶活性与果实硬度进行相关分析、通径分析和灰色关联分析。分析结果表明,各相关酶活性与硬度的相关程度依次为PG、SOD、CAT、PME、POD,与果实硬度的贡献率大小依次为PG、CAT、SOD、PME、POD,与果实硬度的关联度顺序为PME、SOD、PG、CAT、POD。综合分析结果表明,PG活性、CAT活性、SOD活性为果实贮藏过程中主要的酶,在贮藏过程中对果实软化衰老起重要作用。     

基于低碳理念的鄂州市城市土地集约利用评价

结合国内外低碳土地利用的研究背景和实践,分析出不同土地利用方式碳排放效应,并对城市土地低碳化与集约化利用进行定性与定量分析,并采用鄂州市实际构建低碳理念下城市土地集约利用评价指标体系,对鄂州市2000-2013年土地利用状况进行分析评价.由此,总结鄂州市再加入低碳因素后土地集约利用的变化规律,并提出相关建议.     

关于检查井沉降与解决措施的研究

基于我国检查井施工中出现的不均匀沉降及相关施工问题的实际情况,针对导致上述问题出现的各方面原因进行分析,就优化设计、规范开挖及回填施工、强化检查井的砌筑等方面提出了相应解决措施.以期为我国市政管线建设中的检查井设计及施工提供借鉴.