H公式的三个巧合

本文对H公式统一了不同的完全相关数对的规律，H公式与异常级数和素数公式之间的联系，H公式与哈代－李特伍德公式的关系作了一定的分析研究与探讨。     

关于Lah数的进一步研究

讨论了Lah数的一些新的性质。     

机床主传动链结构式的研究与推荐

指出主动传动链结构式中的等号（“＝”）在数学关系上讲不通的，建议修改为机床学专用符号“ｍ＝”。确立了公比ψ的选用范围和变速范围Ｒｎ的极限值。提出了转速重合变速系统减少重合级数的设计方法，讨论比较后，对各种转速级数的结构式方案作出系统推荐。     

关于含r对k间隔的组合数

ｆｒｋ记（ｎ，ｍ）为从排列在一直线上的ｎ个元素中选取ｍ个元素且恰含ｒ对ｋ间隔元素的选取方式数．ｇｒｋ（ｎ，ｍ）为从排列在圆周上的ｎ个元素中选取ｍ个元素且恰含ｒ对ｋ间隔元素的选取方式数，给出了ｆｒｋ（ｎ，ｍ）及ｇｒｋ（ｎ，ｍ）的递归关系式和卷积形式表达式，在ｋ＝０时得到ｆｒ０（ｎ，ｍ）与ｇｒ０（ｎ，ｍ）的显式．     

育成期水貂饲喂配合饲料试验报告

用总能在20kJ/kg、前期粗蛋白34%～40%、后期32%～38%;前期粗脂肪18%、后期16%;粗纤维2%～4%,粗灰粉6%～10%、钙1.5%～2.4%、磷1.0%～1.6%的配合饲料经160天饲喂育成期水貂,对水貂的生长发育及健康状况均无不良影响,效果与常规饲料无差异;毛皮质量较优,综合效益显著。每只水貂多收入6.84～8.14元。     

A revisit of the distribution of linear combinations of Dirichlet components

Provost and Cheong (2000 Provost, S. B., and Y.-H. Cheong. 2000. On the distribution of linear combinations of the components of a Dirichlet random vector. The Canadian Journal of Statistics 28 (2):417–25.[Crossref], [Web of Science ®] , [Google Scholar]) show the importance of the distribution of linear combinations of components of a Dirichlet random vector to quadratic forms and their ratios in statistics, which can be applied in a variety of contexts. The c-characteristic function has been shown to be very useful and more practical in some distributions that are hard to manage with the traditional characteristic functions. The importance of the distribution of linear combinations of components of a Dirichlet random vector to quadratic forms and their ratios in statistics, which can be applied in a variety of contexts, is well known. We first provide its inversion formula which is practical in determining the distribution function of a random variable when its c-characteristic function is known. We then use this inversion formula to find an expression of probability density function of linear combinations of components of any Dirichlet vector. This would generalize the currently well known results.     

历史消费主义影视剧的文化模式

中国当下,伴随着消费对象的不断"越界",历史消费主义影视思潮呈现出日渐明显的泛化态势.从历史消费主义影视剧的内部配方机理入手,可以把历史消费主义影视剧归纳为"配方"、"怀旧"、"噱头"、"小历史"、"游戏"、"反历史"等文化模式.历史在历史消费主义的尽情游戏中"迷失"了.无论历史消费主义影视剧走着怎样的路线,始终不变的是"消解-确立"模式.     

Continuous-time threshold autoregressions with jumps: Properties,estimation, and application to electricity markets

Continuous-time autoregressive processes have been applied successfully in many fields and are particularly advantageous in the modeling of irregularly spaced or high-frequency time series data. A convenient nonlinear extension of this model are continuous-time threshold autoregressions (CTAR). CTAR allow for greater flexibility in model parameters and can represent a regime switching behavior. However, so far only Gaussian CTAR processes have been defined, so that this model class could not be used for data with jumps, as frequently observed in financial applications. Hence, as a novelty, we construct CTAR processes with jumps in this paper. Existence of a unique weak solution and weak consistency of an Euler approximation scheme is proven. As a closed form expression of the likelihood is not available, we use kernel-based particle filtering for estimation. We fit our model to the Physical Electricity Index and show that it describes the data better than other comparable approaches.     

探讨第二类换元法积分

第二类换元法是一种既重要又不易掌握的积分方法。经过多年探索,发现第二类换元法也并非无规律可循,它也存在一定的规律性。一般可以用三角代换法、根式代换法、繁式代换法等三种代换法求出积分。     

Inventory Models with Continuous and Poisson Demands and Discounted and Average Costs

We develop a new, unified approach to treating continuous‐time stochastic inventory problems with both the average and discounted cost criteria. The approach involves the development of an adjusted discounted cycle cost formula, which has an appealing intuitive interpretation. We show for the first time that an (s, S) policy is optimal in the case of demand having a compound Poisson component as well as a constant rate component. Our demand structure simultaneously generalizes the classical EOQ model and the inventory models with Poisson demand, and we indicate the reasons why this task has been a difficult one. We do not require the surplus cost function to be convex or quasi‐convex as has been assumed in the literature. Finally, we show that the optimal s is unique, but we do not know if optimal S is unique.