Enhanced Upper Bound for Erasure Recovery in SPC Product Codes

Single parity check (SPC) product codes are simple yet powerful codes that are used to correct errors and/or recover erasures. The focus of this paper is to evaluate the performance of such codes under erasure scenarios and to develop a closed‐form tight upper bound for the post‐decoding erasure rate. Closed‐form exact expressions are derived for up to seven erasures. Previously published closed‐form bounds assumed that all unrecoverable patterns should contain four erasures in a square. Additional non‐square patterns are accounted for in the proposed expressions. The derived expressions are verified using exhaustive search. Eight or more erasures are accounted for by using a bound. The developed expressions improve the evaluation of the recoverability of SPC product codes without the need for simulation or search algorithms, whether exhaustive or novel.     

孔隙率对铌硅粉末混合物冲击反应的影响

借助二级轻气炮加载平台和飞片撞击技术,在高冲击速度下实现不同初始孔隙率铌硅粉末混合物的冲击回收。对回收产物进行表征分析并探讨高冲击速度下孔隙率对铌硅粉末冲击化学反应的影响,实验结果表明:低孔隙率(10%)铌硅粉末混合物几乎不发生反应;20%孔隙率铌硅粉末发生不完全化学反应并生成了NbSi2;高孔隙率(35%)样品在相同冲击速度(飞片速度约为2.35 km/s)下发生完全反应获得单组分Nb5Si3。在高孔隙率的粉末混合物中,孔隙崩塌产生的高温是导致铌硅粉末反应物发生完全反应的主要原因。     

Image recovery from double amplitudes in fractional Fourier domain

The classical Gerchberg--Saxton algorithm is introduced into the image recovery in fractional Fourier domain after adaptation. When this algorithm is applied directly, its performance is good for smoothed image, but bad for unsmoothed image. Based on the diversity of fractional Fourier transform on its orders, this paper suggests a novel iterative algorithm, which extracts the information of the original image from amplitudes of its fractional Fourier transform at two orders. This new algorithm consists of two independent Gerchberg--Saxton procedures and an averaging operation in each circle. Numerical simulations are carried out to show its validity for both smoothed and unsmoothed images with most pairs of orders in the interval [0, 1].     

The Derivative Patch Interpolating Recovery Technique for Finite Element Approximations

A derivative patch interpolating recovery technique is analyzed for the finite element approximation to the second order elliptic boundary value problems in two dimensional case.It is shown that the convergence rate of the recovered gradient admits superc onvergence on the recovered subdomain, and is two order higher than the optimal global convergence rate (ultracovergence) at an internal node point when even order finite element spaces and local uniform meshes are used.     

稠油油藏蒸汽-泡沫驱油数值模拟方法

以室内实验和矿场试验结果为基础,对稠油油藏蒸汽 泡沫驱的渗流机理及所涉及的物理化学现象进行了研究,在常规热采模型的基础上,结合蒸汽泡沫驱数学模型,建立了考虑蒸汽泡沫驱的新热采模型,拓展了热采模型的应用范围.模型中考虑了表活剂浓度、非凝析性气体含量、地层非均质性等影响因素.针对辽河高升油田高二、三区高3456井组油层埋藏较深、油层有效厚度较大的特点,对蒸汽泡沫复合驱进行了数值模拟研究,分析了其敏感因素及其可行性,并对蒸汽泡沫复合驱提高厚层稠油油藏的采收率机理进行了探讨.     

The effect of pretreatments on surfactin production from potato process effluent by Bacillus subtilis

Pretreatments of low-solids potato process effluent were tested for their potential to increase surfactin yield. Pretreatments included heat, removal of starch particulates, and acid hydrolysis. Elimination of contaminating vegetative cells was necessary for surfactin production. After autoclaving, 0.40 g/L of surfactin was produced from the effluent in 72 h, vs 0.24 g/L in the purified potato starch control. However, surfactin yields per carbon consumed were 76% lower from process effluent. Removal of starch particulates had little effect on the culture. Acid hydrolysis decreased growth and surfactant production, except 0.5 wt% acid, which increased the yield by 25% over untreated effluent.     

具有违约风险的欧式期权定价

本文允许随机利率与随机的对手公司负债,扩展了k le in(1996)的定价模型,运用结构化方法,得到有违约风险欧式期权的一般化定价公式,进一步推导出一些特定欧式期权的定价公式,并指出这些公式均为本文公式的特例。     

高分辨阿达玛变换显微荧光图像分析(Ⅲ)——系统分辨率和图像恢复过程对单细胞分析结果的影响

提出了一种改进的阿达玛变换(HT)显微荧光图像分析系统,以单细胞试样分析为基础,分别对系统的分辨率和解码后的图像恢复过程进行了讨论.结果表明,该系统可应用于单细胞形态分析和定量分析.图像在x和y方向的像素分辨率相同,并达到了同一成像物镜下的空间分辨率水平,因此在获取微米级单细胞试样的微弱荧光信号的二维图像时,系统的成像能力较好,可用于单细胞形态分析.对花粉细胞的荧光衰退过程的定量分析结果表明,对不同HT图像提供的同一系列试样的定量数据进行比较时,必须对所有该系列试样的图像恢复过程进行归一化处理.     

Strong pinning of triple junction migration for robust high strain nanostructures

The universality of a key recovery mechanism: triple junction migration in high strain nanostructures is revealed herein. This migration is the only means to uniformly coarsen deformed lamellar microstructures. Migration of medium to high angle geometrically necessary boundaries at triple junctions is resisted by strong pinning phenomena. Pinning by low angle dislocation boundaries is the novel mechanism that greatly adds to the solute drag of these higher angle boundaries during migration at triple junctions. Solutes furthermore cause a significant increase in the dislocation density of the low angle boundaries formed during deformation and thus greatly enhance the observed pinning. Boundary pinning by dislocation boundaries and solute drag is analysed for deformed Ni of different purities via in and ex situ electron microscopy. A kinetic model is utilised to obtain activation energies that quantitatively demonstrate the strength of this pinning. A new strategy for achieving robust nanostructured metals is developed based on solute and dislocation pinning of triple junction migration – a universal recovery mechanism in deformed lamellar microstructures.     

Mullins effect recovery of a nanoparticle‐filled polymer

Particle‐filled elastomers often exhibit a reduction in peak stress after the initial extension under cyclic straining, a phenomenon known as the Mullins effect. In reported literature, long rest periods and elevated temperatures are often necessary conditions to even partially restore stiffness. The stress softening of the polymer nanoparticle composite discussed in this article appeared to be completely reversible in a comparatively short time span (less than 17 h) at room temperature. Although this material acted elastomeric at slow strain rates, significant stiffening, and a pronounced yielding behavior was observed during the first strain cycle at higher strain rates. Subsequent cycling of the material revealed much softer behavior and an absence of the yielding phenomenon, although relatively short rest periods allowed the material to regain its original behavior. The Mullins effect recovery phenomenon was investigated by introducing rest periods of various durations following loading and unloading cycles. Both single and multiple loadings were used in the tests conducted to evaluate recovery. A mechanism of stress recovery was proposed based on the reduction of entanglements and weakening particle‐matrix interactions. New entanglements and particle‐chain interactions were considered major contributors to the recovery of the stiffness. © 2010 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys, 2010