扩号借号法的3处新例证

论文对《中图法》第4版中新发现的3处扩号借号法例证，从类级分析、并非特殊八分法类号辨析、并非加“0”类号辨析和并非下借法类号辨析等方面进行了论证。     

Infinite sequences and their h-type indices

Starting from the notion of h-type indices for infinite sequences we investigate if these indices satisfy natural inequalities related to the arithmetic, the geometric and the harmonic mean. If f denotes an h-type index, such as the h- or the g-index, then we investigate inequalities such as min(f(X),f(Y)) ≤ f((X?+?Y)/2) ≤ max(f(X), f(Y)). We further investigate if: f(min(X,Y)) = min(f(X),f(Y)) and if f(max(X,Y)) = max(f(X),f(Y)). It is shown that the h-index satisfies all the equalities and inequalities we investigate but the g-index does not always, while it is always possible to find a counterexample involving the R-index. This shows that the h-index enjoys a number of interesting mathematical properties as an operator in the partially ordered positive cone (R⁺)^∞ of all infinite sequences with non-negative real values.In a second part we consider decreasing vectors X and Y with components at most at distance d. Denoting by D the constant sequence (d,d,d, …) and by Y-D the vector (max(y_r-d), 0)_r, we prove that under certain natural conditions, the double inequality h(Y-D) ≤ h(X) ≤ h(Y?+?D) holds.     

广义双Poisson风险模型下破产概率的若干结果

进一步将双Poisson风险模型推广到了广义双Poisson风险模型,然后对此新模型利用鞅方法研究了破产概率满足的Lundberg不等式和一般公式.     

无约束优化问题推广的对角二阶拟柯西算法

利用推广的二阶拟Newton方程,提出了一种推广的对角二阶拟柯西算法,在新算法中引入了参数θ,使得对角二阶拟柯西法可以推广到更大的范围.并且证明了在一定的条件下新算法的全局收敛和超线性收敛.最后通过数值试验说明了新算法是有效可行的.     

仅发送者知道通道信息的可控概率隐形传态

采用推广测量法,在仅发送者Alice知道部分纠缠GHZ态通道信息的条件下,提出了实现可控概率隐形传态的方案。     

一类神经网络的指数稳定性分析

避免构造Lyapunov函数的困难,运用广义Dahlquist数方法研究了一类神经网络模型平衡点的存在唯一性和指数稳定性,在没有假设激活函数具有可微性、有界性的条件下,得出新的判据。     

A dynamic decision model for portfolio investment and assets management

This paper addresses a dynamic portfolio investment problem. It discusses how we can dynamically choose candidate assets, achieve the possible maximum revenue and reduce the risk to the minimum level. The paper generalizes Markowitz's portfolio selection theory and Sharpe's rule for investment decision. An analytical solution is presented to show how an institutional or individual investor can combine Markowitz's portfolio selection theory, generalized Sharpe's rule and Value-at-Risk(VaR) to find candidate assets and optimal level of position sizes for investment (dis-investment). The result shows that the generalized Markowitz's portfolio selection theory and generalized Sharpe's rule improve decision making for investment.     

一类广义Liénard型方程的极限环

本文讨论广义Lienard系统(E):x+(f(x)+k(x)x)+g(x)=0,获得了系统(E)的极限环存在,至多有一个或两个的充分条件.这些条件不仅简单和易于验证,而且推广了〔5,6〕的结果.     

Research on the operating characteristics of parallel 4-DOF electric platform with 4TPS-PS structure

The 4TPS-PS parallel platform designed for a stabilization and automatic tracking system is a novel lower-mobility parallel mechanism. In the first part of this paper, the structure of the platform is described and the kinematics model is built. The workspace of the platform is defined as the full reachable rotation workspace when the Z coordinate dimension of the upper plate varies continuously. A fast searching method of the full reachable workspace is presented, after which the inverse kinematics of the platform is deduced. The forward and inverse solutions of the speed and force of the platform are deduced. According to the characteristic of the 4TPS-PS platform’s structure, a fast searching algorithm of the maximum generalized speed and maximum generalized force output by the upper plate is put forward based on the forward and inverse solutions of the platform’s speed and force. The 4TPS-PS platform prototype built by the State Key Laboratory of Fluid Power Transmission and Control of China is taken as the research subject. The full reachable rotation workspace of the prototype is computed out and analyzed. The curves of maximum generalized speed and maximum generalized force of the prototype are computed out and plotted. Finally, the com- puting and analyzing results of the operating characteristics are confirmed through the experiment.     

广义量词的计算复杂性

广义量词的复杂性有两个层次：句法层面的复杂性和语义层面的复杂性,我们集中研究了广义量词的语义复杂性。在有穷的语境中可以找出自然语言量化语句真值的复杂性。这些复杂性与图灵机中的可计算性、作为算法的意义的等价性、计算复杂性、易处理性和不易处理性等内容相关。广义量词计算复杂性已有诸多相关研究成果。