LMI优化问题的择一性定理与对偶

考虑目标函数是线性函数约束条件为线性矩阵不等式的LMI优化问题,讨论了LMI优化问题中的四个择一性定理.每种类型的择一性定理包含两个线性不等式和(或)等式系统,一个原始系统和一个对偶系统.弱择一性定理说明两系统中至多只有其一有解;基于凸集分离理论得到的强择一性定理说明两系统有且仅有其一有解.并在此基础上推导了LMI优化...     

数学教学利器——思维实验室

说起实验室那是物理、化学和生物才能有的,因为它们是实验性很强的学科,数学是思维性强的学科,还要实验室吗？数学只需要一支笔一张纸不就行了吗？殊不知,当今数学研究和数学教学已与以往大不同。     

积分第二中值定理中间点函数的连续性及可微性

主要研究按积分第二中值定理∫a^xf（t）g（t）dt=f（a）∫a^ξg（t）dt＋f（x）∫ξxg（t）dt确定的中间点ξ作为x的函数,其连续性及可微性．     

聚合物发光二极管面光源的光热特性

运用传输矩阵法及MATLAB软件模拟计算了以MEH-PPV为发光材料的PLED面光源出光率,分析了发光层、PEDOT层、ITO层对器件出光率的影响.模拟分析了玻璃表面半球形、圆台形、圆锥形3种微形貌对器件出光率的影响.仿真结果表明,玻璃表面为圆锥形微散射层对提高器件出光率最有利,且出光均匀性最好.最后分析了PLED面光...     

制备均一性靶丸过程中的影响因素

在激光聚变实验中,高球形度、高厚度均一性的靶丸经常通过乳液微封装方法来制备。利用T.Norimatsu的模型研究在靶丸制备过程中,界面间表面张力、油相粘度、壳层尺寸、壳层厚度的影响。结果显示:较大的表面张力,较小的壳层尺寸,会使胶囊具有更好的均一性。当外部变形形式不同的时候,油相的粘度对于壳层均一性会有不同作用。     

The relation between and violation of Hardy＇s non-locality Bell inequality

We give an analytic quantitative relation between Hardy＇s non-locality and Bell operator. We find that Hardy＇s non-locality is a sufficient condition for the violation of Bell inequality, the upper bound of Hardy＇s non-locality allowed by information causality just corresponds to Tsirelson bound of Bell inequality and the upper bound of Hardy＇s non- locality allowed by the principle of no-signaling just corresponds to the algebraic maximum of Bell operator. Then we study the CabeUo＇s argument of Hardy＇s non-locality （a generalization of Hardy＇s argument） and find a similar relation between it and violation of Bell inequality. Finally, we give a simple derivation of the bound of Hardy＇s non-locality under the constraint of information causality with the aid of the above derived relation between Hardy＇s non-locality and Bell operator.     

Atomic NOON state generation in distant cavities by virtual excitations

A general scheme of generating NOON states of virtually-excited 2N atoms is proposed. The two cavities are fibre-connected with N atoms in each cavity. Although we focus on the case of N = 2, the system can be extended to a few atoms with N 〉2. It is found that all 2N atoms can be entangled in the form of NOON states if the atoms in the first cavity are initially in the excited states and atoms in the second cavity are all in the ground states. The feasibility of the scheme is carefully discussed, it shows that the NOON state with a few atoms can be generated with good fidelity and the scheme is feasible in experiment.     

Minimum mean square error method for stripe nonuniformity correction

Stripe nonuniformity is very typical in line infrared focal plane (IRFPA) and uncooled starring IRFPA. We develop the minimum mean square error (MMSE) method for stripe nonuniformity correction (NUC). The goal of the MMSE method is to determine the optimal NUC parameters for making the corrected image the closest to the ideal image. Moreover, this method can be achieved in one frame, making it more competitive than other scene-based NUC algorithms. We also demonstrate the calibration results of our algorithm using real and virtual infrared image sequences. The experiments verify the positive effect of our algorithm.     

紧束缚势和修正的嵌入原子势计算液态Sn双体相关函数差异

对500个Sn原子分别用两种模型（紧束缚势和修正的嵌入原子势）计算了400℃~1700℃温度范围内纯Sn的双体相关函数g（r）。将计算结果与实验数据进行了对比分析,发现两种计算结果都能基本上反映液态Sn的结构及其随温度的变化情况：原子最近邻距离与实验结果相近;随着温度降低,双体相关函数第一峰变得尖锐,第二峰变得明朗。修正的嵌入原子势模型得到的双体相关函数的第一峰右侧有个突起的肩膀,这在实验结果中也被发现,而紧束缚势模型得到的双体分布函数肩膀不明显。     

再生资源基热塑性橡实淀粉/聚己内酯复合材料的制备及红外光谱分析

以橡实淀粉为主要原料,采用熔融挤出法制备了热塑性橡实淀粉(TPAS)和热塑性橡实淀粉(TPAS)/聚己内酯(PCL)二元复合材料.通过对样品FTIR和XRD的分析,研究了乙二醇、丙三醇、乙醇胺、二乙醇胺、三乙醇胺五种不同增塑剂对样品的分子结构的影响,亦研究了不同增塑体系对复合材料分子结构和力学性能的影响.结果表明:五种...