一类非凸非光滑多目标分式规划问题的对偶

研究了一类非光滑多目标分式规划问题的对偶问题.首先,借助于Clarke广义梯度,引入了一类广义不变凸函数概念;然后,在此基础上,给出并证明了该对偶问题的弱对偶定理、强对偶定理和严格逆对偶定理.

Abstract：

.In this paper, the duality for a class of non-smooth multi-objective fractional programming prob-lems is studied.Using Clarke generalized gradient, the concept of a class of generalized invexity functions is introduced and, based on this, the weak duality theorem, the strong duality theorem and the strict con-verse duality theorem for the dual problems are obtained and proved.     

平衡与不动点问题的强收敛定理

在Hilbert空间中用粘性逼近的方法引入了一个关于平衡问题与不动点问题的混合迭代格式,并证明了由此迭代格式导出的序列强收敛到平衡问题解集与有限个非扩张映射公共不动点集的一个公共元.

Abstract：

The aim of this paper is to introduce a new general composite iterative scheme by visosity approximation method in a Hilbert space and to prove that the sequence generated by the iterative scheme converges strongly to a common point of the set of solutions of an equilibrium problem and the set of fixed points of a finite family of nonexpansive mappings.     

一个迭代序列的不动点问题变分不等式问题及平衡问题

介绍了在Hilbert空间中求解平衡问题,非扩张映射不动点问题及变分不等式问题公共解的迭代序列.在一些参数控制条件下给出了迭代序列的强收敛定理.

Abstract：

This paper introduces the iterative sequences for finding the common solution of an equilibrium problem,a fixed point problem of a nonexpansive mapping and the variational inequality problem in a Hilbert space.Some strong convergence theorems of the iterative sequences are obtained under some parameter controlling conditions.     

非平稳高斯序列完整和非完整样本的最大值几乎处处极限定理

在协方差的收敛速度满足适当条件下,得到了非平稳高斯序列完整和非完整样本的最大值的联合极限分布以及几乎处处极限定理.

Abstract：

The joint limiting distribution and related almost sure limit theorem of the maxima from complete and in-complete samples of nonstationary Gaussian sequences are considered providing the convergence rate of co-variance satisfies some regular conditions.     

Hilbert空间中渐近非扩张半群的修正粘性迭代

在Hilbert空间中运用了数学规划中hybrid方法证明了关于渐近非扩张半群的修正粘性迭代强收敛定理.

Abstract：

The strong convergence theorems of modified viscosity iterative for asymptotically nonexpansive semigroups in a Hilbert space are proved by the hybrid method in mathematical programming.     

关于三个问题的混合粘性迭代

在Hilbert空间中,对求解混合平衡问题、非扩张映射不动点问题及单调L-Lipschitz连续映射变分不等式问题解的公共元,引入了由粘性迭代方法确定的迭代序列.在一些参数控制条件下获得了一个强收敛定理.

Abstract：

This paper introduces an iterative sequence for finding a common element of the set of solutions of a mixed equilibrium problem,the set of fixed point problem of nonexpansive mapping and the set of solutions of the variational inequality problem.A strong convergence theorem is obtained under some parameter controlling conditions.     

关于R3上非齐次Schr(o)dinger-Maxwell方程的注记

运用临界点理论中的Ekeland变分原理研究了非齐次Schrodinger-Maxwell方程解的存在性.

Abstract：

The existence of solutions for a nonhomogeneous Schr(o)dinger-Maxwell equation is proved by using the Ekeland's variational principle in critical point theory.     

一个新非自治超混沌四维二次系统及其电路实现

在三维二次混沌系统的基础上增加一个含控制信号的状态变量,组成一个新的非自治超混沌四维二次系统.该系统的基本动力学特性的变化主要依赖于控制信号频率的改变.通过系统的Lyapunov指数谱、分岔图及数值仿真表明,在不同的频率参数下,该系统能够体现周期、拟周期、混沌、超混沌的动力学特性.最后设计了一个模拟电路,进一步验证了其特性.

Abstract：

Based on the three-dimensional quadratic chaos system, this paper constructs a new four-dimensional quadratic non-autonomous hyperchaos system by adding a state variable with the controlling signal.The change in the basic dynamics characters of this system is mainly realized by varying the frequency of the controlling signal. The different chaos dynamics characters of this system such as periodicity, quasi periodicity, chaos and hyperchaos at different frequencies is shown by Lyapunov spectrum , bifurcation diagram and numerical simulation. The results of the experiment are further shown to be consistent with the numerical simulation by designing an analog electronic circuit.     

非自渐进扰动非扩张映射公共不动点的收敛定理

通过构造逼近两个渐进扰动非扩张映射的公共不动点的一个新的迭代算法,证明了在一致凸Banach空间中的一些强弱收敛定理.

Abstract：

The aim of this paper is to construct a new iteration scheme for approximating common fixed points of two non-self asymptotically perturbed non-expansive mappings,and to prove some strong and weak convergence theorems for such mappings in uniformly convex Banach space.     

一类非线性非单调二元算子方程组的解

利用锥理论和单调迭代技巧,得到了一类非线性非单调二元算子方程组的解的存在唯一性、迭代逼近序列及误差估计式.

Abstract：

By using the cone theory and monotone iterative technique, the existence and uniqueness of the solutions for a kind of nonlinear non-monotone systems of two binary operator equations, and their conver-gent iterative sequence and error estimations are obtained.     

Transformation of a star into a planet in a millisecond pulsar binary

Millisecond pulsars are thought to be neutron stars that have been spun-up by accretion of matter from a binary companion. Although most are in binary systems, some 30% are solitary, and their origin is therefore mysterious. PSR J1719-1438, a 5.7-millisecond pulsar, was detected in a recent survey with the Parkes 64-meter radio telescope. We show that this pulsar is in a binary system with an orbital period of 2.2 hours. The mass of its companion is near that of Jupiter, but its minimum density of 23 grams per cubic centimeter suggests that it may be an ultralow-mass carbon white dwarf. This system may thus have once been an ultracompact low-mass x-ray binary, where the companion narrowly avoided complete destruction.     

Action at a distance along a DNA

A number of ways are known by which an event at one location on a DNA molecule can affect an event at a distant location on the same molecule. Three classes of mechanisms are described for such distal actions: tracking or translocation of a protein along a DNA, the association of two proteins bound at separate sites to form a DNA loop in between, and distal interactions that are affected by the topology of the DNA. The basic characteristics of each type of mechanism are discussed in terms of the known physicochemical properties of DNA. The various modes of action at a distance are often interrelated. Examples include the formation of positively and negatively supercoiled DNA loops by tracking and the strong effects of DNA topology on looping.     

Development of a receptor on a foreign nerve fiber in a Pacinian corpuscle

When the sensory fiber of a Pacinian corpuscle (in cat mesentery) is transected (at the inferior mesenteric nerve) transduction fails within 30 hours: the nerve ending produces no generator potentials in response to mechanical stimulation. Electrically elicited nerve impulse conduction continues for at least another 18 hours. A transducer mechanism develops on a regenerating nerve fiber when this fiber enters the denervated corpuscle. Such transducer development takes place on myelinated fibers from the inferior mesenteric nerve, which normally supplies corpuscles, as well as on myelinated hypogastric nerve fibers, which normally do not go to corpuscles, including fibers larger than the original corpuscle afferents.     

Conversion of a peroxiredoxin into a disulfide reductase by a triplet repeat expansion

Pathways for the reduction of protein disulfide bonds are found in all organisms and are required for the reductive recycling of certain enzymes including the essential protein ribonucleotide reductase. An Escherichia coli strain that lacks both thioredoxin reductase and glutathione reductase grows extremely poorly. Here, we show that a mutation occurring at high frequencies in the gene ahpC, encoding a peroxiredoxin, restores normal growth to this strain. This mutation is the result of a reversible expansion of a triplet nucleotide repeat sequence, leading to the addition of one amino acid that converts the AhpC protein from a peroxidase to a disulfide reductase. The ready mutational interconversion between the two activities could provide an evolutionary advantage to E. coli.