Completely simple codes

A code X is said to be completely simple if the kernel of the syntactic monoid of X ^? is a completely simple semigroup. This class of codes is a common generalization of two important classes of codes, that is, thin codes and group codes, and has remarkable algebraic and combinatorial properties. In this paper, we give systematic characterizations of completely simple codes and, in particular, show that many fundamental properties of thin codes are preserved in this generalization.     

Existence and uniqueness of mild solution for fractional integrodifferential equations of neutral type with nonlocal conditions

In this paper, we prove the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations of neutral type with nonlocal conditions in a Banach space. New results are obtained by fixed point theorem.     

Local influence analysis for semiparametric reproductive dispersion nonlinear models

The present paper proposes a semiparametric reproductive dispersion nonlinear model (SRDNM) which is an extension of the nonlinear reproductive dispersion models and the semiparameter regression models. Maximum penalized likelihood estimates (MPLEs) of unknown parameters and nonparametric functions in SRDNM are presented. Assessment of local influence for various perturbation schemes are investigated. Some local influence diagnostics are given. A simulation study and a real example are used to illustrate the proposed methodologies.     

Optimal dividend and dynamic reinsurance strategies with capital injections and proportional costs

We consider an optimization problem of an insurance company in the diffusion setting, which controls the dividends payout as well as the capital injections. To maximize the cumulative expected discounted dividends minus the penalized discounted capital injections until the ruin time, there is a possibility of (cheap or non-cheap) proportional reinsurance. We solve the control problems by constructing two categories of suboptimal models, one without capital injections and one with no bankruptcy by capital injection. Then we derive the explicit solutions for the value function and totally characterize the optimal strategies. Particularly, for cheap reinsurance, they are the same as those in the model of no bankruptcy.     

Bifurcation analysis on a diffusive Holling–Tanner predator–prey model

This paper is concerned with a diffusive Holling–Tanner predator–prey model subject to homogeneous Neumann boundary condition. By choosing the ratio of intrinsic growth rates of predator to prey λ as the bifurcation parameter, we find that spatially homogeneous and non-homogeneous Hopf bifurcation occur at the positive constant steady state as λ varies. The steady state bifurcation of simple and double eigenvalues are intensively investigated. The techniques of space decomposition and the implicit function theorem are adopted to deal with the case of double eigenvalues. Our results show that this model can exhibit spatially non-homogeneous periodic and stationary patterns induced by the parameter λ. Numerical simulations are presented to illustrate our theoretical results.     

The recursion operator method for generalized symmetries and Bäcklund transformations of the Burgers’ equations

In this paper, the generalized symmetries of the second-order Burgers’ equation are obtained through the symmetry transformation method. The Bäcklund transformations (BTs) of the two equations are constructed by the recursion operator method. Then, the infinite number of exact solutions to these equations are investigated in terms of the generalized symmetries and Bäcklund transformations. Furthermore, the Bäcklund transformations and conservation law of the general Burgers’ equations are discussed.     

大气湍流对天文望远镜光电导行精度的影响

讨论了由大气湍流造成的望远镜导行误差,这一误差将给望远镜光电导行的精度带来较大影响。其中使用单点源目标的导行精度受限于大气相干长度和大气相干时间,而多点源目标及面源的导行精度还与湍流随高度的变化有关。通过分析和仿真(数值模拟)结果表明,现代天文观测必须考虑大气湍流对光电导行精度的影响。通过延长曝光时间可以有效降低湍流大气的影响,同时也降低了光电导行的反馈控制频率。当导行信标为多星或面源则可在一定程度上降低高层大气湍流带来的光电导行误差,从而可以适度减少光电导行曝光时间,提高其反馈控制频率。     

The risks and returns of stock investment in a financial market

The risks and returns of stock investment are discussed via numerically simulating the mean escape time and the probability density function of stock price returns in the modified Heston model with time delay. Through analyzing the effects of delay time and initial position on the risks and returns of stock investment, the results indicate that: (i) There is an optimal delay time matching minimal risks of stock investment, maximal average stock price returns and strongest stability of stock price returns for strong elasticity of demand of stocks (EDS), but the opposite results for weak EDS; (ii) The increment of initial position recedes the risks of stock investment, strengthens the average stock price returns and enhances stability of stock price returns. Finally, the probability density function of stock price returns and the probability density function of volatility and the correlation function of stock price returns are compared with other literatures. In addition, good agreements are found between them.     

近紫外光激发的单一全发射荧光粉的发光性能(英文)

利用传统的高温固相法合成了2MgO·Al2O3·P2O5掺Eu,Tb3+,Mn2+系列荧光粉,并研究了它们的发光性能。荧光粉2MgO0.95·Al2O3·P2O5∶0.02Eu,0.02Tb,0.01Mn在近紫外光区具有很强的吸收。在近紫外光激发下,样品发射谱中包含明显的红光、绿光、蓝光3种发射。其CIE色度坐标(0.35,0.25)接近白光区域,在近紫外发光二极管方面有潜在的应用前景。     

GC-MS分析三角枫成熟叶的挥发性成分

分析了三角枫成熟叶的挥发油化学成分。实验采用同时蒸馏萃取法提取三角枫成熟叶的挥发油,利用气相色谱-质谱(GC-MS)对其化学成分进行分析,并以面积归一化法测定各个成分的相对含量。从三角枫成熟叶的挥发油中分别分离鉴定出了79个化合物,占其挥发油总量的94.30%,主要成分为柠檬烯、石竹烯、α-蒎烯、β-蒎烯、大根香叶烯、叶绿醇等。结果表明,三角枫成熟叶的挥发性成分非常丰富,其中,许多化学成分具有芳香性或药理药效作用,在香精香料或医疗领域具有一定的利用价值。