Covering a Finite Abelian Group by Subset Sums

Let G be an abelian group of order n. The critical number c(G) of G is the smallest s such that the subset sums set (S) covers all G for eachs ubset SG\{0} of cardinality |S|s. It has been recently proved that, if p is the smallest prime dividing n and n/p is composite, then c(G)=|G|/p+p–2, thus establishing a conjecture of Diderrich.We characterize the critical sets with |S|=|G|/p+p–3 and (S)=G, where p3 is the smallest prime dividing n, n/p is composite and n7p²+3p.We also extend a result of Diderrichan d Mann by proving that, for n67, |S|n/3+2 and S=G imply (S)=G. Sets of cardinality for which (S) =G are also characterized when n183, the smallest prime p dividing n is odd and n/p is composite. Finally we obtain a necessary and sufficient condition for the equality (G)=G to hold when |S|n/(p+2)+p, where p5, n/p is composite and n15p².* Work partially supported by the Spanish Research Council under grant TIC2000-1017 Work partially supported by the Catalan Research Council under grant 2000SGR00079     

基于倒双谱的套管井声学评价系统特性辨识

将发射探头(T)、接收探头(R)和TR之间介质视为套管井声学评价系统的组成部分，由套管井声波测井响应，采用倒双谱技术辨识该声学系统的冲激响应，计算得到了该声学系统的特性曲线(冲激响应曲线)。当T、R同时位于自由套管区域时，声学系统特性曲线幅度最高，并且曲线的两端和中心点附近都有比较大的起伏；当T、R同时位于水泥完全胶结区域时，特性曲线幅度最低且比较平坦；随着T、R间窜槽面积的增大，特性曲线幅度逐渐增加并且中心点附近幅度的增加比较明显。通过对该声学系统特性的辨识，从冲激响应曲线瀑布图中可直观反映出套管井水泥胶结的质量。该方法对丰富、完善声波水泥胶结测井资料解释工作具有重要参考价值。     

On the structure ofp-zero-sum free sequences and its application to a variant of Erdös-Ginzburg-Ziv theorem

Letp be any odd prime number. Letk be any positive integer such that . LetS = (a ₁,a ₂,...,a _2p−k ) be any sequence in ℤ_p such that there is no subsequence of lengthp of S whose sum is zero in ℤ_p. Then we prove that we can arrange the sequence S as follows:

A systematic experimental study on the phase behavior of complex fluid mixtures up to near-critical region

The near-critical phase behavior of five synthetic reservoir fluid mixtures has been systematically studied using a ROP (France) high-pressure PVT system. The C₇⁺-content in the prepared samples ranges from 6.67 to 11.15 mol%. Through a series of constant composition expansion experiments performed in the temperature range of 303–433 K, the compressibility factor of compressed fluid (in the single-phase region), partial pressure–temperature (P–T) phase envelope, total molar volume and liquid volume fraction in the two-phase region have been measured for each sample. In addition, the critical point data of three samples were determined.     

不同制备方法对Ba/MgO催化剂催化甲烷氧化偶联反应性能的影响(英文)

采用ＢＥＴ、ＸＲＤ、ＳＥＭ和ＸＰＳ等方法对Ｂａ／ＭｇＯ催化剂进行了分析,并且对该催化剂对甲烷氧化偶联反应的性能进行了测试。结果表明,制备方法对Ｂａ／ＭｇＯ催化剂的催化性能有很大影响。采用淤浆法制备的Ｂａ／ＭｇＯ催化剂具有合适的比表面积和表面氧物种分布,因此对甲烷转化显示出良好的催化活性。而采用机械混合或浸渍等方法制备的催化剂由于表面不均匀以及表面烧结等原因其活性较差。     

无压浸渍锰白铜合金-W2C复合涂层的磨损特性研究

采用无压浸渍工艺在45#钢表面制备锰白铜合金-W2C复合涂层,考察了比压、转速及W2C颗粒尺寸对复合涂层耐磨性的影响,并与目前钻机刹车盘用16Mn钢材料的耐磨性进行对比.结果表明:在给定的试验条件下,采用2种不同W2C颗粒粒度的复合涂层的磨损量均随比压及转速的增加而增大;W2C粒度大的涂层由于W2C颗粒在锰白铜基体中分布均匀,形成较好的骨架结构,弥散强化作用较好,比W2C粒度小的涂层具有更优异的耐磨性;由于W2C颗粒能够削弱磨粒的微切削作用,抑制裂纹扩展,其涂层耐磨性比16Mn钢提高10～50倍.     

静压预制桩工程性状研究──以河南某电厂技改工程为例

以河南某电厂技改工程为例 ,根据现场检测结果 ,探讨了影响静压预制桩沉桩深度成因 ,分析了静压桩承载力的分布规律。研究结果证明静压桩的沉桩深度和承载力与地基土的性状密切相关。对于河南某电厂技改工程场地 ,尽管桩端进入砂较小深度 ,却可以在桩端平面附近良好土层的作用下提供较大的端阻力。     

荧光光谱解析中矩阵病态对检测结果的影响

在工程数据处理中,经常要进行矩阵变换,矩阵病态性影响计算结果的稳定性,而矩阵的条件数与矩阵病态性密切相关.针对荧光光谱原始信号,通过分析解谱矩阵的条件数,给出通过解谱矩阵进行信号解谱时,解谱矩阵病态性对解谱数据结果的影响以及在提取解谱矩阵时如何减少矩阵病态性的方法.实验结果表明,数据突变会导致矩阵病态性增加,同时带来荧光光谱结果失真,在实际解谱矩阵提取及数据处理过程中,需重视并增强荧光染料谱图的平滑性.     

相干波条件的证明

本文证明了波的相干条件———要求两列波具有相互平行的振动分量、频率相同、位相差恒定.证明方法直观,不失普遍性,适合在普通物理中介绍.     

翼型涡流发生器抑垢性能的实验研究

为了获得翼型涡流发生器的抑垢特性,采用离线称重法,研究了在不同间距、不同攻角下三角翼、矩形翼、梯形翼三种翼型涡流发生器对CaCO₃污垢结垢量的变化。结果表明:翼型涡流发生器具有抑垢性,单位面积结垢量要少于光片;三种翼型中,具有较小迎流截面积的三角翼试片结垢量最少;攻角对抑垢性有影响,攻角30°布置翼的结垢域要少于攻角90°的翼;翼的排列间距对结垢量也有影响。