钼磷酸钾的研制施用效果及生产工艺

以钼精矿粉为原料，研制和生产出能使豆科作物增产的多元微肥——钼磷酸钾，并对其反应机理从理论上进行分析：初测了组成和性质。经在田间试验研究：用该微肥对大豆、花生进行拌种时的最佳适宜用量为150～225ghm^-2可使大豆增产5．35％～16．72％;花生增产10．1％～16．5％，比目前国内、外常用的钼酸铵产量能提高8％左右。另外，对钼磷酸钾的工业化生产工艺进行了设计。     

封闭型保单组未来损失现值向量的联合分布及渐近分布

本文针对封闭型保单组,利用历年死亡人数随机向量D,将保单组的未来给付现值随机变量和未来损失现值随机变量表达为某个满秩矩阵和D的乘积,根据D服从多项分布的性质,得到未来损失现值随机向量渐近服从多元正态分布的结果,为分析责任准备金提供了一个新的框架.     

罐盖圆边直径与卷边叠接率关系浅析

在番茄酱罐头生产现场经大量测试６５＃圆罐罐盖圆边数据，借助高速封口机进行密封试验，采用正交多项式回归方法建立了罐盖圆边直径与叠接率的关系回归方程。该方法通过生产实践证实效果良好，并以此为基础提出了一种罐盖圆边最佳常数，以供预测和优化不同罐径的罐盖的圆边参数。     

SOME ASYMPTOTIC INFERENCE IN MULTINOMIAL NONLINEAR MODELS （A GEOMETRIC APPROACH）

ＳＯＭＥＡＳＹＭＰＴＯＴＩＣＩＮＦＥＲＥＮＣＥＩＮＭＵＬＴＩＮＯＭＩＡＬＮＯＮＬＩＮＥＡＲＭＯＤＥＬＳ（ＡＧＥＯＭＥＲＩＣＡＰＰＲＯＡＣＨ）￥ＷＥＩＢＯＣＨＥＮＧ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｏｕｔｈｅａｓｔＵｎｉｖｅｒｓｉｔｙ...     

中国现代文学史该如何叙述——以吴福辉《插图本中国现代文学发展史》为例

吴福辉《插图本中国现代文学发展史》不仅提供了全新的现代文学视景,更为文学史的写作开创了一种新的写作范式,是新世纪现代文学史写作的重要收获。该书赋予＂发展＂以切实丰厚的内涵,展示了现代文学＂发展＂的历程,倡导多元共生的＂合力型＂的文学生态格局,写作中彰显＂文学性＂,把文学还给文学史。     

MM Algorithms for Some Discrete Multivariate Distributions

The MM (minorization–maximization) principle is a versatile tool for constructing optimization algorithms. Every EM algorithm is an MM algorithm but not vice versa. This article derives MM algorithms for maximum likelihood estimation with discrete multivariate distributions such as the Dirichlet-multinomial and Connor–Mosimann distributions, the Neerchal–Morel distribution, the negative-multinomial distribution, certain distributions on partitions, and zero-truncated and zero-inflated distributions. These MM algorithms increase the likelihood at each iteration and reliably converge to the maximum from well-chosen initial values. Because they involve no matrix inversion, the algorithms are especially pertinent to high-dimensional problems. To illustrate the performance of the MM algorithms, we compare them to Newton’s method on data used to classify handwritten digits.     

Tritium and helium analyses in thin films by enhanced proton backscattering

In order to study how to reliably perform quantitative tritium and helium analyses in thin film samples using enhanced proton backscattering(EPBS),several EPBS spectra for some samples consisting of non-RBS light elements(i.e.,T,4He,12C,16O,natSi),medium and heavy elements have been measured and analyzed using analytical SIMNRA and Monte Carlo-based CORTEO codes.The non-RBS cross sections needed in the CORTEO code are taken from the ENDF/B-Ⅶ.1 database and the calculations of SigmaCalc code and are incorporated into the CORTEO code.All non-RBS cross section data over the entire proton incident energy-scattering angle plane are obtained by interpolation.It is quantitatively observed that in EPBS analysis the multiple and plural scattering effects have little impact on the energy spectra for light elements and the RBS cross sections of light elements can be used in the SIMNRA code for dual scattering calculations.It is also observed that the results given by the CORTEO code are higher than the results of the SIMNRA code in the low energy part of EPBS spectra,and are in better agreement with the experimental data.Tritium and helium analyses in thin film samples using EPBS can be performed reliably when the multiple and plural scattering contributions are completely accounted.     

关于高等代数中反例的研究

对于高等代数的命题来说,给出证明和构造反例同样重要。本文选择了高等代数中部分命题反例构造进行研究,以帮助对这些命题深刻理解。     

The Busy Period of the M/GI/∞ Queue

An equation for the distribution Z() of the duration T of the busy period in a stationary M/GI/ service system is constructed from first principles. Two scenarios are examined, being distinguished by the half-plane Re()>₀ for some ₀0 in which the generic service time random variable S, always assumed to have a finite mean E(S), has an analytic Laplace–Stieltjes transform E(e^–S ). If ₀<0 then E(e^–T ) is analytic in a half-plane (₁,), where ₀₁<0 and ₁ is determined by the distribution of S; then for any 0<s<|₁|.When ₀=0, E(e^–T ) is analytic in (0,), and now more is known about T. Inequalities on the tail () are used to show that for any 1, E(T ) is finite if and only if E(S ) is finite. It follows that the point process consisting of the starting epochs of busy periods is long range dependent if and only if E(S ²)=, in which case it has Hurst index equal to [frac12](3–), where is the moment index of S.If also the tail (x)=Pr{Sx} of the service time distribution satisfies the subexponential density condition ₀ ^x (x–u) (u)du/ (x)2E(S) as x, then (x)/ (x)e^E(S), where is the arrival rate.     

A Multinomial Model for a Bond Market

In this paper, we generalize the classical binomial bond market model of Ho and Lee [2] to the multinomial model. We establish necessary and sufficient conditions for such a bond market model to be arbitrage-free and path independent. We study the bond option pricing and forward-rate equation in the trinomial case.Research is supported by the Lithuanian State Science and Studies Foundation, program Mathematical models of Lithuanian economy for forecasting of the macroeconomic processes (registration No C-03004).__________Translated from Lietuvos Matematikos Rinkinys, Vol. 44, No. 4, pp. 413–428, October–December, 2004.