Representation of the Stieltjes Integral in Terms of the Riemann Integral Depending on a Parameter

In this paper, we obtain a new formula for the representation of the Riemann-Stieltjes integral of a continuous function in terms of the passage to the limit with respect to the parameter in a Riemann integral depending on this parameter. The derivation of this formula is based on the study of the functional properties of the solution of the auxiliary difference equation of first order representing the weighted first difference of a given function in the form of a simple first difference of an unknown function. The result obtained can be used for the analytic and approximate calculation of Stieltjes integrals.     

矿井提升设备的经济提升容量分析

在不加大提升机及井筒直径的前提下,对提升设备的最佳经济提升容量、速度进行分析,通过对一次提升循环时间Tx的估算,来确定一次合理提升的容量,达到合理的节约.通过对提升速度与提升高度关系的分析,以获得设备的最佳提升速度,及降低运行费用.借助国内外的经验,提升速度可以适当的提高,以适应提升设备未来发展的需要.     

钻孔灌注桩泥浆护壁性状研究

钻孔灌注桩适用范围大，易于取材，成本低，颇受设计、施工人员喜欢。泥浆护壁是钻孔灌注桩的关键工艺，泥浆的成分、厚度、工艺是灌注桩质量的决定性因素。因此，对泥浆护壁进行理论研究与实践推广具有重大意义。     

具有非负Fourier系数的Fourier和逼近的一个注记

给出了具有非负Fourier系数的连续周期偶函数的Fourier和的逼近达到其最佳逼近阶的一个充分条件。     

A Multi-Stage Stochastic Integer Programming Approach for Capacity Expansion under Uncertainty

This paper addresses a multi-period investment model for capacity expansion in an uncertain environment. Using a scenario tree approach to model the evolution of uncertain demand and cost parameters, and fixed-charge cost functions to model the economies of scale in expansion costs, we develop a multi-stage stochastic integer programming formulation for the problem. A reformulation of the problem is proposed using variable disaggregation to exploit the lot-sizing substructure of the problem. The reformulation significantly reduces the LP relaxation gap of this large scale integer program. A heuristic scheme is presented to perturb the LP relaxation solutions to produce good quality integer solutions. Finally, we outline a branch and bound algorithm that makes use of the reformulation strategy as a lower bounding scheme, and the heuristic as an upper bounding scheme, to solve the problem to global optimality. Our preliminary computational results indicate that the proposed strategy has significant advantages over straightforward use of commercial solvers.     

About models and methods to describe chip-calorimeters and determine sample properties from the measured signal

Different models used to describe chip-calorimeters and to simulate their thermal behavior are presented together with the physical basics of heat transfer. Different methods to deconvolute the measured signals are explained. One model example for a certain chip-calorimeter is given in more detail to show the procedure.     

Zpe上本原序列的元素分布

文研究了Zpe上本原序列的元素分布.利用Ga,lois环上的指数和估计和本原序列的迹表示,得到了Zpe中各元素在本原序列的一个周期中出现频率的一个估计.当n＞4e时(n为本原序列生成多项式的次数).我们的估计优于Kuzmin的结果[1].     

Irrationality of the sums of zeta values

In this paper, we establish a lower bound for the dimension of the vector spaces spanned over ? by 1 and the sums of the values of the Riemann zeta function at even and odd points. As a consequence, we obtain numerical results on the irrationality and linear independence of the sums of zeta values at even and odd points from a given interval of the positive integers.     

Some New Results for McKean’s Graphs with Applications to Kac’s Equation

The main goal of the present paper is to sharpen some results about the error made when the Wild sums, used to represent the solution of the Kac analog of Boltzmann’s equation, are truncated at the n-th stage. More precisely, in Carlen, Carvalho and Gabetta (J. Funct. Anal. 220: 362–387 (2005)), one finds a bound for the above-mentioned error which depends on (an ^Λ+ε). On the one hand, it is shown that Λ, the least negative eigenvalue of the linearized collision operator, is the best possible exponent. On the other hand, ε is an extra strictly positive number and a a positive coefficient which depends on ε too. Thus, it is interesting to check whether ε can be removed from the above bound. According to the aforesaid reference, this problem is studied here by means of the probability distribution of the depth of a leaf in a McKean random tree. In fact, an accurate study of the probability generating function of such a depth leads to conclude that the above bound can be replaced with (a′ n ^Λ).     

电子秤数字和算技术及其应用

分析了传感器模拟和算技术及数字和算技术的原理并列举了数字和算技术在钢铁企业中的应用。