双线性Fourier乘子交换子的有界性与紧性

假定T_σ是关于乘子σ的双线性Fourier乘子算子,其中σ满足如下Sobolev正则条件:对某个s∈(n,2n],有sup_(κ∈Z)‖σ_k‖W~s(R~(2m))∞.对于p_1,p_2,p∈(1,∞)且满足1/p=1/p_1+1/p_2和ω=(ω_1,ω_2)∈A_(p/t)(R~(2n)),建立了T_σ及其与函数b=(b_1,b_2)∈(BMO(R~n))~2生成的交换子T_(σ,b)由L~(p_1,λ)(ω_1)×L~(p_2,λ)(ω_2)到L~(p,λ)(v_w)的有界性;同时,在b_1,b_2∈CMO(R~n)(C_c~∞(R~n)在BMO拓扑下的闭包)的条件下,证明交换子T_(σ,b)是L~(p_1,λ)(ω_1)×L~(p_2,λ)(ω_2)到L~(p,λ)(v_w)的紧算子.为了得到主要结果,我们先后建立了几个双(次)线性极大函数在加多权Morrey空间上的有界性以及该空间中准紧集的判定.     

Effect of emergent carrying capacity in an eco‐epidemiological system

The paper explores an eco‐epidemiological model of a predator–prey type, where the prey population is subject to infection. The model is basically a combination of S‐I type model and a Rosenzweig–MacArthur predator–prey model. The novelty of this contribution is to consider different competition coefficients within the prey population, which leads to the emergent carrying capacity. We explicitly separate the competition between non‐infected and infected individuals. This emergent carrying capacity is markedly different to the explicit carrying capacities that have been considered in many eco‐epidemiological models. We observed that different intra‐class and inter‐class competition can facilitate the coexistence of susceptible prey‐infected prey–predator, which is impossible for the case of the explicit carrying capacity model. We also show that these findings are closely associated with bi‐stability. The present system undergoes bi‐stability in two different scenarios: (a) bi‐stability between the planner equilibria where susceptible prey co‐exists with predator or infected prey and (b) bi‐stability between co‐existence equilibrium and the planner equilibrium where susceptible prey coexists with infected prey; have been discussed. The conditions for which the system is to be permanent and the global stability of the system around disease‐free equilibrium are worked out. Copyright © 2015 John Wiley & Sons, Ltd.     

高测速双频激光干涉仪

现代机械工业的发展使得数控机床和三坐标测量机等的运行速度已经达到 10 0 0 mm/ s,而目前商用外差干涉仪的测量速度不能满足这一要求。为此研制了一种基于 5 MHz频差双反射膜激光器的高测速干涉仪。通过实验对干涉仪的测量速度进行了验证。实验证明 ,该种干涉仪可以对速度为 10 0 0 mm/ s的运动物体进行位移和速度测量     

复合腔全光纤环形激光器单纵模双向同时激射的实验研究

提出并实验证实了三能级掺杂光纤复合腔环形激光器共振选模振荡原理和腔内自建可饱和吸收机制对双向行波共振谱的去耦作用，并实现复合腔掺Ｅｒ＾３＋全光纤环形激光器单纵蓦以向同时激射。     

通脑活络针刺法治疗脑梗死患者的BI与NIHSS指数的协方差分析

利用协方差分析将那些认为很难控制的因素,即患者入院时的BI得分或NIHSS得分作为协变量x,在排除协变量x对观测变量y,即治疗90天后患者的BI、NIHSS得分影响的条件下,分析治疗方法对治疗90天后患者的BI、NIHSS得分的影响,从而更加准确地对治疗方法进行评价.     

二碳和酚系有机化合物生化降解性能的研究

作者利用 Warburg 呼吸仪对二碳有机物及酚系有机物的生化降解性能进行了研究。首先对 Lamb 分类的第三类基质的 R-C 曲线进行了科学的划分,使得讨论简明扼要。通过做不同基质的 R-C 曲线,讨论了各物质的相对耗氧速率的变化情况;通过对不同基质氧化百分数及其去除率的计算,了解到各该物质的分解与合成的比例关系。     

M型正交小波包的构造及在领域内的紧支撑

基于多尺度分析理论（MRA）与A．W．W方法构造了M型小波包,并研究其性质,如频谱有限性、以尺度序列（滤波器）hn＝φ（n/2）及当n→∞,hn＝0（n^-N),它在小波包应用的计算中速率可比Shannon小波包快,另外,着重给出了当l=2^k-1,k∈Z 时,{μ2l(ω)},{μ2l 1(ω}}的紧支撑区间的通式,为准确表征信号频域特征提供了依据。     

半环中生成模糊理想的构造

在半环中引入由模糊子集生成的模糊半环与模糊左理想 (模糊右理想 ,模糊理想 ,模糊双理想 )的概念 ,讨论了它们的一些性质 ,并给出了它们的构造定理     

Tetravalent half-arc-transitive bi-p-metacirculants

A graph is half-arc-transitive if its full automorphism group acts transitively on its vertex set and edge set, but not arc set. A graph is said to be a bi-Cayley graph over a group if it admits as a group of automorphisms acting semiregularly and with two orbits on the vertex set. In this paper, a classification is given of tetravalent half-arc-transitive bi-Cayley graphs over metacyclic -groups for each odd prime , and this is then used to give a classification of tetravalent half-arc-transitive graphs of order twice a prime cube.     

城市停车诱导信息板显示优化的双层目标模型

针对单目标函数可能难以获得最优显示结果的缺点,以驾车者的停车等待时间最少和到达停车场的总时间最短为双层目标函数,建立了停车诱导信息板的显示优化模型.通过算例计算,对比单目标函数模型与双层目标函数模型的优化结果,表明后者的优化结果具有唯一性,能更好地实现诱导效益的最大化,且更加符合驾车者的停放行为,证明本双层目标模型具有更好的适用性和可行性,能够更加准确地优化停车诱导信息板的信息显示.