Free trial or no free trial: Optimal software product design with network effects

A common business strategy to promote product adoption in software industry is to provide a free trial version with limited functionalities of the commercial product to increase the installed user base. The increase of user base will lead to higher value of the software because of positive network effects. However, offering a free trial version may cannibalize some demand of the commercial software. This paper examines the tradeoff between network effects and the cannibalization effect, and aims to uncover the conditions under which firms should introduce the free trial product. We find that when network intensity is strong, it is more profitable for a software monopoly to offer free trial than to segment the market with two versions of different qualities. In addition, this paper solves the joint decision problem of finding the optimal quality for the firm’s free trial software and the optimal price of its commercial product.     

Regularization strategy for the Cauchy problem of Laplace’s equation from the viewpoint of regularization theory

Within the framework of the regularization theory, a spectral regularization method is introduced and analyzed. The convergence estimate under an appropriate choice of regularization parameter is obtained. A numerical implementation is described. Numerical examples show that the proposed method is effective and stable.     

Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation

This paper introduces a wavepacket-transform-based Gaussian beam method for solving the Schrödinger equation. We focus on addressing two computational issues of the Gaussian beam method: how to generate a Gaussian beam representation for general initial conditions and how to perform long time propagation for any finite period of time. To address the first question, we introduce fast Gaussian wavepacket transforms and develop on top of them an efficient initialization algorithm for general initial conditions. Based on this new initialization algorithm, we address the second question by reinitializing the beam representation when the beams become too wide. Numerical examples in one, two, and three dimensions demonstrate the efficiency and accuracy of the proposed algorithms. The methodology can be readily generalized to deal with other semi-classical quantum mechanical problems.     

The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation

We propose the backward phase flow method to implement the Fourier–Bros–Iagolnitzer (FBI)-transform-based Eulerian Gaussian beam method for solving the Schrödinger equation in the semi-classical regime. The idea of Eulerian Gaussian beams has been first proposed in [12]. In this paper we aim at two crucial computational issues of the Eulerian Gaussian beam method: how to carry out long-time beam propagation and how to compute beam ingredients rapidly in phase space. By virtue of the FBI transform, we address the first issue by introducing the reinitialization strategy into the Eulerian Gaussian beam framework. Essentially we reinitialize beam propagation by applying the FBI transform to wavefields at intermediate time steps when the beams become too wide. To address the second issue, inspired by the original phase flow method, we propose the backward phase flow method which allows us to compute beam ingredients rapidly. Numerical examples demonstrate the efficiency and accuracy of the proposed algorithms.     

地质学专业英语词汇特点及构词研究

专门用途英语（ESP）学习及应用中,词汇的掌握是基础,也是要点和难点,起着举足轻重的作用。地质学专业英语是ESP中的一个重要分支,专业词汇量大、半专业词汇丰富、广泛使用派生词、复合词、缩略词并涉及众多相关学科。从词汇特点入手,对地质专业英语词汇进行构词法归类,进而找出行之有效的记忆方法,有利于广大地质学习者和工作者便捷的使用地质英语。     

高校管理人员工作倦怠感及其社会干预对策研究

目的探讨高校管理人员工作倦怠的成因并提出干预对策。方法采用工作倦怠量表和社会支持评估量表,对某省普通高校的管理人员共150名进行问卷调查。结果 1社会支持与工作倦怠各维度之间存在一定的相关性;2工作倦怠感中各维度在人口学特征上无显著性差异;3男性在主观支持上的分数显著低于女性(t=0.589,P0.05),青年在主观支持上的分数显著低于中年(t=-0.087,P0.05),中年在社会支持总分上的分数显著高于青年(t=0.682,P0.05),已婚在客观支持上的分数显著高于未婚(t=0.682,P0.05);4主观支持对情绪衰竭有显著的预测作用,解释率为6.4%,社会支持总分对工作态度有显著的预测作用,解释率为14.8%,客观支持对低成就感有显著的预测作用,解释率为19.5%。结论良好的社会支持为高校管理人员心理危机,提高管理人员自我的保健意识,均提供了重要的参考依据。     

三氮唑羧酸酯类席夫碱的合成及生物活性

从５－氨基－１Ｈ－１，２，４－三氮唑－３－羧酸出发，合成了７种５－氨基－１Ｈ－１，２，４－三氮唑－３－羧酸甲酯类席夫碱，对其产率，物理性持作了首次报道，采用ＵＶ，ＩＲ，＾１ＨＮＭＲ和元素分析等对化合物结构进行了初步表征，实验室生物活性测试表明此类化合物具有较好的生物活性。     

Widely tunable dual-pump parametric amplifiers with photonic crystal fibres

This paper theoretically studies the double-pumped fibre-optical parametric amplifiers （FOPAs） in photonic crystal fibres. Two distinct working regimes of FOPAs are researched, which depend on the dispersion at the central wavelength of the two pumps. Extremely broad tuning range can be obtained when the central pump wavelength is in the normal dispersion regime and is insensitive to the wavelength separation between the two pumps, while the tuning range is narrow in the anomalous dispersion regime and can be significantly enhanced by increasing the wavelength separation. Impacts of higher-order dispersions and temporal walk-off on the gain spectra are also discussed.     

Dynamical behaviour of Liu system with time delayed feedback

This paper investigates the dynamical behaviour of the Liu system with time delayed feedback. Two typical situations are considered and the effect of time-delay parameter on the dynamics of the system is discussed. It is shown that the Liu system with time delayed feedback may exhibit interesting and extremely rich dynamical behaviour. The evolution of the dynamics is shown to be complex with varying time-delay parameter. Moreover, the strange attractor like ‘wormhole＇ is detected via numerical simulations.     

快冷Fe-Al合金中的原子缺陷弛豫

在多功能内耗仪上用自由衰减和强迫振动方法研究了不同Al含量淬火Fe-Al合金中的两个弛豫型内耗峰.结果显示：P1(180℃)和P2(340℃)两个内耗峰只出现在淬火样品的加热过程中，而在随后的冷却过程中不出现.P1峰是由在α和β(或γ)点阵上的空位组成的最近邻双空位偶极子在应力诱导下的重新取向产生的，其弛豫强度随Al含量非单调地变化，在大约25% Al(原子百分比，以下同)处出现最大值.Al含量较低的Fe-Al合金无