A Type of Busemann-Petty Problems for General Lp-Intersection Bodies

Recently, the notion of general(containing symmetric and asymmetric) Lp-intersection bodies was given. In this article, by the Lp-dual mixed volumes and the general Lp-dual Blaschke bodies, we study the Lp-dual affine surface area forms of the Busemann-Petty problems for general Lp-intersection bodies. Our works belong to a new and rapidly evolving asymmetric Lp-Brunn-Minkowski theory.     

<Emphasis Type="Italic">Lp</Emphasis>-dual mixed geominimal surface area

In this paper, a new Lp-dual mixed geominimal surface area is defined by Lp-dual mixed quermassintegrals, which extends the definition of Lp-dual geominimal surface area and generalizes some related inequalities established by Wan and Wang.     

Some inequalities for geominimal surface areas

The concept of geominimal surface area is first intro- duced, and then, the affine surface area projection inequality is given by Petty. In recent years, associated with geominimal surface area, Lutwak obtained some significant results containing the extended affine projection inequality. In this paper, combining with curvature image and combinations of convex bodies, we get some inequalities for geominimal surface areas. Furthermore, the integral form of geominimal surface area is obtained.     

Some Inequalities for L_p-Dual Mixed Quermassintegrals

Wang and Zhang defined a type of Lp-dual mixed quermassintegrals based on the Lp-radial combinations and dual quermassintegrals of star bodies. In the article, the product inequalities for this Lp-dual mixed quermassintegrals are established. As the applications, we obtain the lower bounds of dual quermassintegrals product. Further, the Brunn-Minkowski type inequality and the cycle inequality for the Lp-dual mixed quermassintegrals are given.     

A Type of Busemann-Petty Problems for Blaschke-Minkowski Homomorphisms

Schuster introduced the notion of Blaschke-Minkowski homomorphisms and first considered Busemann-Petty type problems. In this paper, we study the Busemann-Petty type problems for the geominimal surface area with respect to Blaschke-Minkowski homomorphisms.     

调和径向组合的对偶均质积分

该文建立了星体调和径向组合对偶均质积分的Brunn-Minkowski型不等式,并证明了它与L_p-对偶混合均质积分的Minkowski不等式是等价的.     

A Type of Shephard Problems for L_p Blaschke-Minkowski Homomorphisms

The Blaschke-Minkowski homomorphisms was defined by Schuster. Recently, Wang extended its concept to L_p version. In this paper, we obtain affirmative and negative forms of the Shephard type problems for L_p geominimal surface areas with respect to the L_p Blaschke-Minkowski homomorphisms.     

On the Dual p-Measures of Asymmetry for Star Bodies

Recently, the connection between p-measures of asymmetry and the L_p-mixed volumes for convex bodies was found soon after the p-measure of asymmetry was proposed, and the Orlicz-measures of asymmetry was proposed inspired by such a kind of connection. In this paper, by a similar way the dual p-measures of asymmetry for star bodies(naturally for convex bodies) is introduced first. Then the connection between dual p-measures of asymmetry and Lp-dual mixed volumes is established. Finally, the best lower and upper bounds of dual p-measures and the corresponding extremal bodies are discussed.     

高MgO镍铁渣作为活性混合材使用的可行性分析

中国镍铁渣排放量很大,但目前尚未找到大量利用的途径。笔者在分析镍铁渣组成、性能的基础上,对镍铁渣作为活性混合材使用的可能性及效果进行了研究。结果表明:镍铁渣中非晶体矿物的含量为88.1%,含量高达27.07%的MgO主要以顽辉石和镁铁橄榄石两种晶体矿物形式存在。镍铁渣的比表面积影响其活性和在水泥中的掺量。作为活性混合材,镍铁渣比表面积需不低于454.6m~2/kg。比表面积越大,活性指数越大,掺量越大。镍铁渣水泥的压蒸安定性合格,即使在水泥中掺入50%比表面积842.9 m~2/kg的镍铁渣,水泥的压蒸膨胀率仅为0.11%,大大低于0.5%的GB750—1992要求,由此证明镍铁渣不会因为MgO含量高而影响其作为活性混合材的使用。     

冷轧过程中的混合润滑特性

基于Christensen的表面粗糙峰分布假设,以轧制理论、流体力学理论为基础建立了考虑表面粗糙度的冷轧混合润滑模型,并提出了混合润滑摩擦状态约束关系式用来判别摩擦状态.对不同条件下油膜厚度、接触面积比、压应力及摩擦应力分布情况进行了仿真分析.结果表明:随着压下率的增加,油膜变薄、界面接触面积比增加、应力增大;同时,表面粗糙度对界面接触面积比及应力分布有较大影响,粗糙度增加,界面接触面积比增加,压应力及摩擦应力均增加.较高的润滑液黏度或轧制速度可以有效地降低轧制界面摩擦力及轧制力.     

Dual Orlicz affine surface area

According to the notion of Orlicz mixed volume, in this paper, we extend L_p-dual affine surface area to the Orlicz version. Further, we obtain the affine isoperimetric inequality and the Blachke-Santaló inequality for the dual Orlicz affine surface area. Besides, we also get the monotonicity inequality for Orlicz dual affine surface area.     

沉淀剂和pH值对共沉淀法制备介孔铈锆铝材料织构性能的影响

采用并流滴定沉淀法制备了新型材料铈锆铝,利用氮气吸附法考察了制备过程中沉淀剂和滴定速率对材料比表面积和孔容的影响.实验结果表明,以碳酸铵—氨水为混合沉淀剂,pH值从9调到10时,材料样品比表面积和孔容最大,抗老化性能最好,1 000℃老化后材料样品比表面积、孔容和孔径分别为95 m2/g、0.31 mL/g、10.2 nm,属于介孔材料.     

曲面的微分向量与面积微元——基于向量代数的启发性推导

本文引入微分向量的概念.进而用向量代数的方法简化了古典微积分中关于面积元素及体积元素计算公式的推导.并且给出曲面的面积元素的混合积形式等.     

贵州采煤塌陷引发的地质灾害及塌陷区的类型

贵州省因采煤塌陷引发的矿山地质灾害主要表现为地裂缝、滑坡、崩塌、泥石流等,其发育程度和影响程度在不同采煤塌陷区差异较大。采煤塌陷区可划分为六盘水复合型塌陷区、贵-毕中度塌陷区及黔东轻微塌陷区等三种类型。其中,第一种类型煤矿采空区地表沉陷变形最明显,易引发次生地质灾害,危害性最大;第二种类型采空区地表沉陷变形较明显,引发次生地质灾害的可能性和危害程度较前者小;第三种类型采空区地表沉陷变形不明显,塌陷危害较小。     

焙烧类水滑石吸附去除水中苯酚

用液相共沉淀法制备镁铝铁类水滑石．在500℃下焙烧,类水滑石转化为镁铝铁复合氧化物．用XRD、TG/DTA、比表面仪和FTIR对类水滑石和镁铝铁复合氧化物进行表征分析．以镁铝铁复合氧化物为吸附剂吸附水中的苯酚．对实验条件和主要影响因素进行研究,并对吸附处理机理进行探讨．实验结果表明：镁铝铁复合氧化物可有效去除水中的苯酚．去除苯酚的实验数据符合Langmuir吸附等温线．吸附动力学过程遵守Lagergren一级速率方程．镁铝铁复合氧化物可重新吸收阴离子恢复原有的层状结构．     

凹凸棒粘土比表面改性方法的研究

利用不同的化学试剂和不同的加热时间等方法,对改进凹凸棒粘土的比表面积进行了研究.结果表明,在5%硫-磷混酸并加热一定时间的条件下,凹凸棒粘土的比表面积由原来的140 m2/g增加到400 m2/g.经过XRDI、R、SEM测试,发现其结构和构型均未变化.     

离子型与非离子型混合表面活性剂体系溶致液晶相图及结构的研究

对离子型表面活性剂十二烷基硫酸钠、十六烷基三甲基溴化铵与非离子表面活性剂聚氧乙烯油醇醚、烷基酚聚氧乙烯醚混合体系溶致液晶的相图及层状液晶的结构进行了研究。结果表明,当非离子表面活性剂中极性基较小时,其相行为类似于脂肪醇,易和离子型表面活性剂共同形成层状液晶。当非离子型表面活性剂极性基较大时,与离子型表面活性剂易形成六角液晶。在混合体系中阴离子表面活性剂比阳离子表面活性剂与聚氧乙烯型非离子表面活性剂的相互作用更强一些,表现为相图中形成的液晶区域较大。当离子型表面活性剂确定时,与脂肪醇聚氧乙烯醚复配比与烷基酚聚氧乙烯醚复配可形成液晶的范围更宽。     

胶州湾北岸不同水体水化学及氢氧同位素特征研究

研究不同水体的形成和运移过程,有助于合理开发利用水资源,对地表水与地下水污染协同防治和生态环境保护具有重要意义。以胶州湾北岸地区浅层地下水、河水及海水为研究对象,通过采集水化学和氢氧稳定同位素样品进行测试分析,综合运用统计学和Piper三线图,分析不同水体的水化学特征和影响因素,并结合氢氧稳定同位素特征研究其补给来源和转化关系。结果表明：研究区基岩裂隙水整体以淡水为主,部分点位受海水入侵影响,呈微咸水特征;第四系孔隙水整体为咸水且化学组分较稳定;河水水化学组分变化程度较大,呈微咸水-咸水特征。研究区地表水体间存在相互转化关系,祥茂河河水的主要来源为大气降水;洪江河、墨水河河水为大气降水与海水的混合水,且墨水河受海水混合影响程度大于洪江河;胶州湾海水为河水和标准海水的混合水。研究区地下水和地表水之间存在相互转化,基岩裂隙水来源除大气降水外,还与第四系孔隙水存在密切的水力联系,受海水入侵的影响;第四系孔隙水来源为大气降水与海水的混合水,径流过程中接受地表水体或基岩裂隙水的补给并经历不同程度的蒸发作用。