泰劳公式的拉格朗日型余项中介值点的研究

当区间长度趋于0时,泰劳公式的拉格朗日型余项中介值点的变化规律.     

Fast computation of Hermite normal forms of random integer matrices

This paper is about how to compute the Hermite normal form of a random integer matrix in practice. We propose significant improvements to the algorithm by Micciancio and Warinschi, and extend these techniques to the computation of the saturation of a matrix. We describe the fastest implementation for computing Hermite normal form for large matrices with large entries.     

Asymptotic exponential cones of Metzler matrices and their use in the solution of an algebraic problem

The aim of this paper is that of investigating the asymptotic exponential cone of a single Metzler matrix, introduced in [23], and of defining and analysing the new concept of asymptotic exponential cone of a family of Metzler matrices (along a certain direction). These results will provide necessary and/or sufficient conditions for the solvability of an interesting algebraic problem that arises in the context of continuous-time positive switched systems and, specifically, in the investigation of the reachability property [21,22,25].     

Multi-moment advection scheme for Vlasov simulations

We present a new numerical scheme for solving the advection equation and its application to Vlasov simulations. The scheme treats not only point values of a profile but also its zeroth to second order piecewise moments as dependent variables, for better conservation of the information entropy. We have developed one-and two-dimensional schemes and show that they provide quite accurate solutions within reasonable usage of computational resources compared to other existing schemes. The two-dimensional scheme can accurately solve the solid body rotation problem of a gaussian profile for more than hundred rotation periods with little numerical diffusion. This is crucially important for Vlasov simulations of magnetized plasmas. Applications of the one- and two-dimensional schemes to electrostatic and electromagnetic Vlasov simulations are presented with some benchmark tests.     

A transformed random effects model with applications

This paper proposes a transformed random effects model for analyzing non-normal panel data where both the response and (some of) the covariates are subject to transformations for inducing flexible functional form, normality, homoscedasticity, and simple model structure. We develop a maximum likelihood procedure for model estimation and inference, along with a computational device which makes the estimation procedure feasible in cases of large panels. We provide model specification tests that take into account the fact that parameter values for error components cannot be negative. We illustrate the model and methods with two applications: state production and wage distribution. The empirical results strongly favor the new model to the standard ones where either linear or log-linear functional form is employed. Monte Carlo simulation shows that maximum likelihood inference is quite robust against mild departure from normality. Copyright © 2009 John Wiley & Sons, Ltd.     

Controllable synthesis and characterization of ammonium polyphosphate with crystalline form V by phosphoric acid process

Ammonium polyphosphate (APP) with crystalline form V (APP-V) was synthesized by heating a mixture of 85% food-grade phosphoric acid and melamine under dry ammonia atmosphere. Effects such as raw material ratios, charging methods, dehydration temperature, condensation temperature and condensation time were investigated. Its water solubility was tested, its XRD and FTIR were characterized and compared with those of industrial APP-I and APP-II. Results showed that the prepared APP-V was insoluble in water, its XRD spectrum was the same as APP-V in literature. The molecular structures of the prepared APP-V and APP-I/APP-II were speculated and discussed in detail.     

Bond pricing under a Markovian regime-switching jump-augmented Vasicek model via stochastic flows

In this article, we shall explore the state of art of stochastic flows to derive an exponential affine form of the bond price when the short rate process is governed by a Markovian regime-switching jump-diffusion version of the Vasicek model. We provide the flexibility that the market parameters, including the mean-reversion level, the volatility rate and the intensity of the jump component switch over time according to a continuous-time, finite-state Markov chain. The states of the chain may be interpreted as different states of an economy or different stages of a business cycle. We shall provide a representation for the exponential affine form of the bond price in terms of fundamental matrix solutions of linear matrix differential equations.     

On Affine Normal Forms and a Classification of Homogeneous Surfaces in Affine Three-Space

We classify homogeneous surfaces in real and complex affine three-space. This is achieved by choosing affine coordinates so that the surface is defined by a function whose Taylor series is in a preferred normal form.     

主特征值估计的新故事

本文介绍主特征值估计的两种通用方法，着重于两个侧面：来自黎曼几何的第一种方法如何应用于概率论；来自概率论的第二种方法如何应用于黎曼几何。此外，还将概述若干基本结果。     

我国几种地带性土壤中磷素形态的研究

探明土壤磷素的存在形态,有助于揭示其在环境中的累积、迁移和转化过程及生物有效性。目前,在大尺度样带上开展土壤磷素形态空间变异规律的研究较少。本研究中,沿纬度方向采集了我国东部不同气候带分布的7种地带性林地土壤（包括寒温带的棕色针叶林土、中温带的暗棕壤、暖温带的棕壤、北亚热带的黄棕壤、中亚热带的黄壤、南亚热带的赤红壤和热带的砖红壤）,将化学浸提法与溶液磷-31核磁共振（31P NMR）波谱法相结合,分析了土壤中磷素形态以及与其他土壤性质之间的关系,以期为阐明土壤磷素形态的空间变异性及其驱动因素提供基础资料。结果表明：供试土壤中,全磷、有效磷、无机磷和有机磷的含量范围分别为179.8～825.2,2.41～15.3,92.6～351.2和14.7～474.4 mg·kg-1,其中活性、中等活性、中等稳定性和高稳定性有机磷组分的含量范围分别为1.38～30.9,8.63～213.7,3.01～32.2和1.73～199.2 mg·kg-1。根据溶液31P NMR波谱,鉴定出供试土壤中含有无机形态的磷素即正磷酸盐和焦磷酸盐,同时也鉴定出了磷酸单酯、磷酸二酯和膦酸盐等有机形态磷素的存在,其中磷酸单酯中又鉴定出了新-肌醇六磷酸、D-手性-肌醇六磷酸、RNA单核苷酸、α-磷酸甘油、肌-肌醇六磷酸、β-磷酸甘油和鲨-肌醇六磷酸,磷酸二酯中又鉴定出了DNA的存在;所有土壤中均未检测出多聚磷酸盐的存在,除棕色针叶林土和暗棕壤外的其他土壤中未检测出膦酸盐的存在,而赤红壤中未检测出DNA的存在;无机形态的磷素以正磷酸盐为主,而有机形态的磷素则以磷酸单酯为主。总体来看,无论化学浸提法还是溶液31P NMR波谱法,从寒温带的棕色针叶林土到热带的砖红壤,全磷、有效磷、无机磷、有机磷及其组分的含量均呈现下降趋势。溶液31P NMR波谱与化学浸提法鉴定的磷素形态之间存在相关关系,其中正磷酸盐与活性有机磷的关系最为密切,磷酸单酯和膦酸盐与中等活性有机磷的关系最为密切,而焦磷酸盐和磷酸二酯与中等稳定性有机磷的关系最为密切。与化学浸提法相比,溶液31P NMR波谱法能从详细的分子水平上揭示土壤磷素形态的空间变异规律。