共查询到19条相似文献，搜索用时 280 毫秒
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运用两类Stirling数的概率表示得到两类Stirling数的一些特殊值,证明并得到了一些有关两类Stirling数的新的递推公式和恒等式,从而丰富发展了孙平、王天明关于“Stirling数的概率表示和应用”中的内容。 相似文献
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利用孙平和王天明给出的错排数的概率表示,得到有关错排数的递推公式新的证明方法,并得到有关错排数的一些新结果. 相似文献
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通过改变矩阵元素得到Pascal函数矩阵的一种推广形式Pn[f(t)],运用矩阵相关理论讨论其代数性质及指数展开形式,由Pn[f(t)]的逆给出1个反演关系,借助指数发生函数,得到包含二项式型多项式、Hermite多项式与Euler多项式等的一些组合恒等式;最后,给出了Pn[f(t)]的2种不同形式的推广。 相似文献
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在Faàdi Bruno公式和Lagrange反演公式的基础上,得到一些有关Bell数和第二类Stirling数的恒等式。 相似文献
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利用算子之间的相互关系将算子g(xΔ)展成3种不同的形式,构造一些级数转化公式,并结合Eulerian多项式简化这些级数转化公式、最后讨论这些级数转化公式在寻找求和公式及组合恒等式证明中的一些应用。 相似文献
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关于递推关系的k项边值问题 总被引：1，自引：0，他引：1
首先,当三次递推关系有2个相等的特征根时,讨论三项边值问题的求解方法;然后,根据k次递推关系的特征根的不同情况,运用克兰姆法则和发生函数方法,给出求解k项边值问题的方法;最后,通过实例演示了本文介绍的方法。 相似文献
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采用Gumbel Logistic模型对江苏及邻近海域深水极值波浪与增水进行了联合概率分析。首先对联合概率模型参数进行拟合,得到联合超越概率与经验联合超越概率比较图。在此基础上开展有效波高和增水年极值序列联合概率分析,比较了三种经验有效波高与增水重现期组合事件的联合概率,结果表明在选定的13个代表点位处,有效波高在二者的联合概率分布中处于主导地位,采用100年一遇有效波高与10年一遇增水组合事件作为100年一遇联合事件偏保守;而50年一遇有效波高与50年一遇增水以及10年一遇有效波高与100年一遇增水组合事件的联合概率则随着点位的移动而高于或低于100年一遇的水平。 相似文献
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利用2006—2015年6—8月章丘探空站逐日探空资料,计算了K指数、抬升指数、对流稳定度指数等6个环境参数,探讨了单个环境参数和多个环境参数组合与闪电活动的关系。结果表明:1)单个环境参数在一定数值范围内可作为闪电活动预报的指标,且较强的闪电活动更容易由大气的不稳定状态来预报; 2)多个环境参数的组合可在一定程度上反映闪电活动的特征,闪电出现的概率随着达到大气不稳定临界值物理量参数个数的增多而增大,预报效果比单个参数更好; 3)应用事件概率回归方法建立了闪电概率潜势预报方程,方程通过了α=0. 01的显著性水平检验,通过检验和评估,闪电概率预报的TS评分达到78%,该方法的建立为闪电潜势预报提供了参考依据。 相似文献
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准确预测波浪透射对于维护港内水域平稳、保障港内船舶稳定具有重要意义。基于567组透浪试验数据,采用基因表达式编程(gene expression programming,简称GEP)算法预测波浪透射。主要研究内容包括:确定GEP算法的最优输入变量组合;建立透浪系数与最优组合变量的定量关系;探究GEP算法的预测精度随训练组数变化的规律;并对输入变量进行了敏感性分析。研究结果表明,GEP算法的最优输入变量组合为深水波陡、相对堤宽和相对水深;训练组数较少时,GEP算法的预测精度不高,当训练组数提高至300组,预测的精度已经达到较高水平,且精度随着训练组数的继续增加提高不大; GEP算法的预测精度远远高于前人的经验公式;相较于相对堤宽和相对水深,深水波陡对波浪透射影响更为显著。本研究表明,GEP算法可作为一种新的方法研究波浪透射,为后续研究与应用提供参照。 相似文献
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微波组合化学在新药研究中的应用 总被引：2，自引：0，他引：2
微波组合化学是组合化学快速发展的结果。与传统方法下的组合化学相比 ,微波组合化学加快了新药筛选中化合物库的建立过程 ,是 1种切实有效的有机合成新技术 ,并且形成了多种合成方法。本文对近 10年来出现的微波组合化学方法及其在新药研究中的应用进行了简单的综述。 相似文献
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《Marine Policy》2015
This article explores the role of market information and learning in multiple unit combinatorial markets for fishing quota. Combinatorial auctions allow trading of packages of different types of quotas (for example for different regions or industry) in the same auction market. Bidders can submit package bids which would allow them to enjoy synergy benefits. However, to realize the full benefit bidders require comprehensive understanding of the market. This article focuses on the impact of varying levels of information feedback on performance in multiple unit forward combinatorial auctions using laboratory experiments. In a general context of trade in fishery quota, it was asked whether (a) providing additional market information and (b) learning through time helps in more efficient outcomes. It is found that much of the benefits of information are derived from structural effects, like repeated rounds and package valuations. Providing additional market information does not improve auction performances to a large extent. These results will be useful in designing more efficient combinatorial markets for fisheries quota. 相似文献
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对赤潮灾害时间序列的特征分析是进行赤潮灾害防灾减灾工作的基础,对未来赤潮灾害的预测具有重要意义。通过观察发现中国沿海赤潮灾害年发生频次和分布面积的时间序列(2004—2019年)均呈现出趋势项和周期项并存的特征,因此利用灰色-周期外延组合预测模型对两个序列中的趋势项和周期项进行提取,模型的拟合度分别达到95.20%和95.24%,优于灰色模型、Fourier级数扩展模型和Holt-Winter指数平滑模型等。最后将该模型结果应用到对未来中国赤潮灾害的预测中,得到结论:2020和2021年赤潮灾害发生频次分别为39次和42次,与2019年相比略有上升,2020年赤潮灾害分布面积达到3 168 km2,与2019年相比增加了约59%,而2021年赤潮灾害分布面积出现回落,为1 901 km2。 相似文献
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自适应遗传算法解决集装箱装载问题的方法探讨 总被引：8，自引：0，他引：8
集装箱装箱问题是1个有很强应用背景的组合优化问题，约束条件多，求解极为困难。本文探讨了自适应遗传算法在复杂集装箱装载问题中的应用，算法中采用跨世纪精英选择策略保持了群体的多样性，并给出了有效的解码算法。实例仿真结果显示出很好的效果，同等条件下求解结果比使用启发式算法高出近10个百分点，表明该算法是行之有效的。 相似文献
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The linear time-dependent motion of a floating elastic or rigid body, subject to some initial displacement, which subsequently evolves freely is considered. The solution is derived by a Fourier transform and by the generalized eigenfunction method. Compared to other solutions, such as the Cummins method, the present solution requires neither time-stepping nor high-frequency calculations. A series of new identities for the frequency-domain problem are also presented. The Fourier transform solution allows an approximate solution to be calculated by an expansion over the complex resonances known as the singularity expansion method. Simple expressions for the singularity expansion method approximation are given. The method is illustrated with a series of numerical calculations. 相似文献
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《Marine Policy》2001,25(3):215-221
Although UK deck and engineer officers numbers and age distribution are now well known, certain other aspects of this group of seafarers are not. This paper presents some new findings concerning their disposition across UK and non-UK companies, and provides a fresh estimate of the proportions of UK officers working at sea. The findings are based on a survey of members of National Union of Marine Aviation Shipping Transport. The evidence provides additional confirmation for the assumption that 90% of all officers are actively engaged at sea, and the numbers working for UK based companies are higher than previously thought. Policy implications are discussed. 相似文献
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Interaction theories are used in numerous branches of physics to efficiently evaluate wave scattering by multiple obstacles. An example of these interaction theories is the direct matrix method introduced by Kagemoto and Yue [1], which enables fast computation of three-dimensional water-wave multiple-scattering problems. The building block of interaction theories is a mathematical operator that encapsulates the mapping between incident and scattered waves. This operator is generally referred to as T-matrix and satisfies both reciprocity and energy identities. In some branches of physics, such as acoustics and electromagnetism, these identities are well established; in hydrodynamics, however, they have only been derived for a T-matrix that maps two-dimensional incident and scattered water waves. In three dimensions, water waves can be represented as a series expansion of cylindrical eigenfunctions. In this paper, we use this representation of water waves to derive the reciprocity and energy identities satisfied by the T-matrix of the direct matrix method, known as Diffraction Transfer Matrix (dtm). The identities derived herein represent an extension of existing general relations between two diffraction solutions. We show that this extension can be applied to verify the accuracy of the dtm entries, thereby increasing the reliability of existing schemes for computing the dtm. We present results for the dtm of two geometrically different isolated obstacles, as well as for the dtm of an asymmetric array. Finally, we demonstrate that the results presented herein can be extended to floating bodies found in a wide range of ocean engineering problems. 相似文献
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白锦东 《中国海洋大学学报(自然科学版)》1997,(3)
讨论二阶非线性差分方程的振动性，在文献［１～１１］中要求方程中的系数是非负数。本文对具有振动系数的方程给出了一些新的振动性判定定理，这些结果是文献［１２］的结果的补充 相似文献