Hamilton连通的一个充分条件

证明了如下结果：设Ｇ是阶为ｎ（≥１１）的３－连通图，若对Ｇ的所有距离为２的顶点ｕ，ｖ，都有ｄ（ｕ）＋ｄ（ｖ）≥ｎ－１或│Ｎ（ｕ）∩Ｎ（ｖ）│≥ａ＋１或│Ｎ（ｕ）∪Ｎ（ｖ）１≥ｎ－δ＋１，则Ｇ是Ｈａｍｉｌｔｏｎ连通的。除非Ｇ属于一些特殊图类。ｒ     

Seismic ground motion in a layered half-space due to a Haskell-type source. I: Theory

In this paper, closed-form analytic expressions for the frequency-wave number domain Fourier amplitudes of the displacement field at the free surface of a layered, anelastic half-space are established. The displacement field is caused by a seismic source described by a shear dislocation propagating with constant velocity over a rectangular fault (Haskell's model). Three-dimensional plane wave propagation is considered in the layered half-space using a propagator-based formalism. The wave radiation from the source is decoupled into P-SV and SH motions and the two problems are treated separately. First, analytic expressions are calculated for the displacement field at the free surface due to unidirectional unit impulses. Then, these expressions are used to compute solutions for the displacement field due to effective point sources associated with a pure strike slip and a pure dip slip. Finally, these solutions are combined and integrated over the rectangular fault area to establish closed-form analytic expressions of the total displacement field at the free surface.     

The differential impact of some soil loss factors on flow,runoff creep and rainwash

The Hortonian model of runoff flow which had been thought to be applicable in arid areas has previously been shown not to be valid, notably in Israel, where inverse relations have been observed between slope angle, and runoff discharge and slope erosion. The paper discusses laboratory experiments on simulated slope conditions in a rather arid environment. It is shown by rain simulation on granite grus that infiltration capacity is a function of rainfall intensity, slope angle and runoff discharge. The infiltration capacity f can equal the rainfall intensity beyond a critical distance x(m) so that discharge becomes constant. Debris covers affect runoff hydraulics, especially on poorly cohesive soils, and both slow downslope and upslope movements which correspond to the process of so-called runoff creep can occur. Coarse debris and grass covers, as roughness factors, induce hydraulic discontinuities and activate local turbulent flow and slope erosion. Instead of being merely protective elements these factors tend to catalyze the slope wash, in comparison with naked surfaces, if the Reynolds number of the flow exceeds a certain critical value.     

‘Bedload’ dynamics: Grain impacts,momentum transfer and derivation of a grain froude number

A test is proposed for Bagnold's postulate that the normal weight stress due to moving ‘bedload’ is balanced by a solid transmitted stress due to the rate of change of momentum produced by grain impacts on unit area of the stationary bed. The test involves derivation of an expression for normal momentum transfer due to saltating grains at moderate transport stages when grain-to-grain collisions and partial suspension during saltation may be ignored. A dimensionless number, Φ, (a grain Froude Number) is derived, given by ū²/g where ū is the mean grain forward velocity, g is the gravitational acceleration and L? is the length of a single saltation ‘jump’. Equilibrium demands that Φ be unity during bedload transport involving saltating grains if Bagnold's postulate is correct. Experimental data shows Φ < 1, the discrepancy between theory and experiment being due to the existence of lift forces acting upon bedload grains. Bagnold's postulate is correct for concentrated dispersions of grains, as in grain flows, when fluid lift forces may be neglected due to high particle concentration.     

高密度极尖区的形成原因

极尖区是太阳风进入磁层的一个重要窗口,极尖区密度是反映这一物理过程的重要参量,通常情况下极尖区密度约为1~10 cm^-3,但有时卫星会观测到密度大于40 cm^-3的极尖区,本文称之为高密度极尖区.我们分析了Cluster卫星2001—2009年的观测数据,在470个极尖区穿越中找到28个高密度极尖区穿越事件并进行了统计研究,分析了高密度极尖区事件的形成原因,进而讨论了太阳风高效地进入极尖区的外部条件.结果表明：距正午的距离（｜MLT-12｜）较小,太阳风的密度高,低纬有磁层顶磁重联发生以及正偶极倾角都是观测到高密度极尖区事件的有利条件,并且当同时满足上述4个条件时,高密度极尖区事件发生率为100%;而低纬磁层顶磁重联以及大的正偶极倾角被认为是太阳风高效地进入极尖区的重要条件.这些研究结果有助于我们更进一步地理解太阳风进入极尖区的物理机制.     

结构面粗糙度统计测量最小样本数确定方法

由于结构面粗糙度具有各质异性、各向异性、非均一性和尺寸效应等特征，结构面粗糙度系数（JRC）取值具有不确定性，工程中广泛采用统计方法来分析结构面粗糙度性质，然而以往研究往往忽略样本数不足对统计结果的影响。针对结构面粗糙度统计测量时无法确定合理样本数的问题，分别提出基于变异系数级比分析及简单随机抽样原理的最小样本数确定方法。以实际工程岩体结构面表面数据为研究对象，对比分析两种方法在系列尺寸下确定的统计测量最小样本数。实例分析表明：小尺寸样本的变异系数（CV）值明显大于大尺寸样本，且CV值随取样尺寸的增大而减小，取样尺寸为10～50 cm的CV值基本稳定在0.31～0.47之间，取样尺寸为60～100 cm的CV值基本稳定在0.21～0.31之间；最小样本数与取样尺寸基本满足幂函数关系，且最小样本数随取样尺寸的增大而减少；系列尺寸下级比分析方法在允许误差为±2%时确定的最小样本数与简单随机抽样原理在最大允许误差为10%、置信度为95%时计算的最小样本数是一致的，相似度大于0.997。该研究方法可为工程岩体中定量获取结构面粗糙度统计测量最小样本数提供依据，保证了JRC（结构面粗糙度系数）统计测量结果的准确性，对工程岩体稳定性评价中结构面力学参数的准确获取具有重要意义。     

Packet Structure of Surface Eddies in the Atmospheric Boundary Layer

A smoke visualization experiment has beenperformed in the first 3,m ofneutral and unstable atmospheric boundary layersat very large Reynolds number(Re > 10⁶). Under neutral atmosphericconditions mean wind profiles agreewell with those in the canonical flatplate zero-pressure-gradient turbulentboundary layer. The experiment was designedto minimize the temperaturedifference between the passive marker (smoke)and the air to ensure that anyobserved structures were due to vortical, ratherthan buoyant, motions. Imagesacquired in the streamwise–wall-normal planeusing a planar laser light-sheetare strikingly similar to those observed inlaboratory experiments at low to moderate Reynolds numbers. They reveal large-scaleramp-like structures withdownstream inclination of 3°–35°.This inclination isinterpreted as the hairpin packet growthangle following the hairpin vortexpacket model ofAdrian, Meinhart, and Tomkins.The distribution of this characteristicangle agrees with the results of experiments at far lower Reynolds numbers,suggesting a similarity in structures among low, moderate, and high Reynoldsnumber boundary layers at vastly different scales. These results indicate thatthe hairpin vortex packet model extends over a large range of scales. Theeffect of vertical heat transport in an unstable atmosphere on wall structuresis investigated in terms of the hairpin vortex packet model.     

一类新的独立性度量及其在盲信号分离中的应用

提出了一类无穷多种称为准熵的新的独立性度量 ,它们用严格凸函数对原变量经分布函数变换再量化后得到的变量的联合概率的均匀性进行度量 ,并提出了基于准熵的盲分离算法 ,可分离任意连续分布的信号 ,包括峭度为零的信号。通过与前人算法的对比试验 ,证实了基于准熵的算法的优越性     

一种基于Cross-Validation的盲图像恢复方法

图像盲复原所面临的主要问题是可利用的信息不足，目前已有的图像盲复原算法一般都是有先验知识，如非负和有限支持域的限制。但在实际中目标的支持域是未知的。文中介绍了CV(cross-validation)的基本原理，给出了一种基于CV原理的支持域确定方法的详细步骤；并针对计算大的问题提出了一定的改进。最后给出了实验结果，证明CV确定支持域的方法对于图像盲复原是有一定价值的。