Biquadratic tensors,biquadratic decompositions,and norms of biquadratic tensors

Biquadratic tensors play a central role in many areas of science.Examples include elastic tensor and Eshelby tensor in solid mechanics,and Riemannian curvature tensor in relativity theory.The singular values and spectral norm of a general third order tensor are the square roots of the M-eigenvalues and spectral norm of a biquadratic tensor,respectively.The tensor product operation is closed for biquadratic tensors.All of these motivate us to study biquadratic tensors,biquadratic decomposition,and norms of biquadratic tensors.We show that the spectral norm and nuclear norm for a biquadratic tensor may be computed by using its biquadratic structure.Then,either the number of variables is reduced,or the feasible region can be reduced.We show constructively that for a biquadratic tensor,a biquadratic rank-one decomposition always exists,and show that the biquadratic rank of a biquadratic tensor is preserved under an independent biquadratic Tucker decomposition.We present a lower bound and an upper bound of the nuclear norm of a biquadratic tensor.Finally,we define invertible biquadratic tensors,and present a lower bound for the product of the nuclear norms of an invertible biquadratic tensor and its inverse,and a lower bound for the product of the nuclear norm of an invertible biquadratic tensor,and the spectral norm of its inverse.     

恒虚警率采样粒子滤波技术及其应用研究

粒子滤波是一种基于蒙特卡洛思想的非线性、非高斯滤波器,其一般采用重要性采样进行粒子采样。但重要性采样容易出现粒子退化现象。解决粒子样本退化问题一般采用重采样。重采样虽然解决了样本的退化问题,同时又引入了采样贫瘠问题。本文根据海洋混响的统计特性和混响中目标的恒虚警率检测原理,提出了恒虚警率采样粒子滤波技术,恒虚警率采样粒子滤波技术使采样粒子尽可能集中在目标附近,有效地描述目标后验概率,降低了粒子数,减小了计算量。本文将此技术应用到海洋混响中的声纳目标跟踪中,既解决了传统卡尔曼滤波在声纳目标跟踪中的非线性、非高斯问题,又解决了粒子滤波的粒子退化及采样贫瘠问题。文中对高分辨率声纳目标数据进行了滤波跟踪,结果验证了本文方法的有效性。     

低压铸造充型动力学的高速摄影观察

利用高速摄影和影片运动分析技术,在透明模型上对低压铸造充型过程进行了实时观察和运动分析。结果表明:低压铸造充型的动力学特征可用二阶非线性微分方程描述。     

Large transport critical currents of powder-in-tube Sr0.6K0.4Fe2As2/Ag superconducting wires and tapes

We report the achievement of transport critical currents in Sr_0.6K_0.4Fe₂As₂ wires and tapes with a T_c = 34 K. The wires and tapes were fabricated through an in situ powder-in-tube process. Silver was used as a chemical addition as well as a sheath material. All the wire and tape samples have shown the ability to transport superconducting current. Critical current density J_c was enhanced upon silver addition, and at 4.2 K, a largest J_c of ～1200 A/cm² (I_c = 9 A) was achieved for 20% silver added tapes, which is the highest in iron-based wires and tapes so far. The J_c is almost field independent between 1 T and 10 T, exhibiting a strong vortex pinning. Such a high transport critical current density is attributed to the weak reaction between the silver sheath and the superconducting core, as well as an improved connectivity between grains. We also identify a weak-link behavior from the apparent drop of J_c at low fields and a hysteretic phenomenon. Finally, we found that compared to Fe, Ta and Nb tubes, Ag was the best sheath material for the fabrication of high-performance 122 type pnictide wires and tapes.     

Direct determination of the electron-phonon coupling matrix element in a correlated system

High-resolution electron energy loss spectroscopy measurements have been carried out on an optimally doped cuprate Bi(2)Sr(2)CaCu(2)O(8+δ). The momentum-dependent energy and linewidth of an A1 optical phonon were obtained. Based on these data as well as detailed knowledge of the electronic structure, we developed a scheme to determine the electron-phonon coupling (EPC) matrix element related to a specific phonon mode. Such an approach is general and applicable to elucidating the full structure of EPC in a system with anisotropic electronic structure.     

基于迁移学习的GH159螺栓热镦后头部缺陷识别

为准确进行GH159螺栓热镦后头部缺陷识别,提出了基于迁移学习的缺陷识别方法,其中,不同场景亮度下的数据集分别设置为迁移学习的源域,目标域.首先,考虑域条件分布的多簇特点,使用K-means算法对同类缺陷数据进行簇划分,确定簇中心,并基于其构造新的分布差异度量;其次,为有效提升迁移学习计算效率,使用簇中心间距离以及各簇...     

ZnO nanowire array ultraviolet photodetectors with self-powered properties

A ZnO nanowire (NW) array ultraviolet photodetector (PD) with Pt Schottky contacts has been fabricated on a glass substrate. Under UV light illumination, this PD showed a high photo-to-dark current ratio of 892 at 30 V bias. Interestingly, it was also found that this PD had a high sensitivity of 475 without external bias. This phenomenon could be explained by the asymmetric Schottky barrier height (SBH) at the two ends causing different separation efficiency of photogenerated electron–hole pairs, which resulted in the formation of photocurrent. It is anticipated to have potential applications in self-powered UV detection field.     

Strain‐Induced Isomerization in One‐Dimensional Metal–Organic Chains

The ability to use mechanical strain to steer chemical reactions creates completely new opportunities for solution‐ and solid‐phase synthesis of functional molecules and materials. However, this strategy is not readily applied in the bottom‐up on‐surface synthesis of well‐defined nanostructures. We report an internal strain‐induced skeletal rearrangement of one‐dimensional (1D) metal–organic chains (MOCs) via a concurrent atom shift and bond cleavage on Cu(111) at room temperature. The process involves Cu‐catalyzed debromination of organic monomers to generate 1,5‐dimethylnaphthalene diradicals that coordinate to Cu adatoms, forming MOCs with both homochiral and heterochiral naphthalene backbone arrangements. Bond‐resolved non‐contact atomic force microscopy imaging combined with density functional theory calculations showed that the relief of substrate‐induced internal strain drives the skeletal rearrangement of MOCs via 1,3‐H shifts and shift of Cu adatoms that enable migration of the monomer backbone toward an energetically favorable registry with the Cu(111) substrate. Our findings on this strain‐induced structural rearrangement in 1D systems will enrich the toolbox for on‐surface synthesis of novel functional materials and quantum nanostructures.     

5,10,15-三(五氟苯基)Corrole及其相似卟啉化合物的光物理特性

采用稳态和时间分辨的瞬态光谱技术对比研究了一种Corrole化合物5,10,15-三(五氟苯基)Corrole(FtsTPC)和一种卟啉化合物5,10,15,20-四(五氟苯基)卟啉(F20TPP)的光物理特性.结果表明:F15TPC的B带吸收峰较宽而F20TPP的强而窄,F15TPC的Q带有两个吸收峰而F20TPP有四个.F15TPC的荧光量子产率为0.15,荧光寿命为4.8 ns,F20TPP的荧光量子产率为0.05,荧光寿命为11.1 ns;与F20TPP相比F15TPC具有发光效率高、荧光寿命短的特点.F15TPC具有较大的发光速率常数和无辐射跃迁速率常数,这可能是由于F15TPC少了一个氟代苯基,致使其发色团本身的电子结构发生变化所致.另外空间结构的不对称性和非共面性也对其光物理性质有影响.     

Half-metallicity modulation of zigzag BC2N nanoribbons by transverse electric fields: A first principles study

We performed density functional theory calculations to investigate the electronic and magnetic properties of H-terminated zigzag BC₂N nanoribbons (ZBC₂NNRs) with the atoms arranged as B-C-N-C along zigzag lines. The ribbons can be classified into three groups according to the profiles of band structures and edge atoms: BN-BN, CC-CC and BN-CC. Among them, CC-CC and BN-CC ZBC₂NNRs behave magnetic ground states. The results show that the CC-CC ZBC₂NNR is an antiferromagnetic (AFM) semiconductor. Under the transverse electric field, the half-metallicity of 16-CC-CC ZBC₂NNR can be achieved with electric field in the range of $0.2～0.45$ VÅ^?1. Interestingly, the intrinsic half-metallicity exists in BN-CC ZBC₂NNRs when the ribbon width is smaller than ～29.2 Å. For larger ribbon width (～33.5 Å), the system could be converted from ferromagnetic metal to half-metals at a very low critical field of $E=0.02$ VÅ^?1. Meanwhile, it is also shown that the I–V characteristic of BN-BN ZBC₂NNRs shows a negative differential resistance (NDR) effect. These ample electronic and magnetic properties might open great opportunities for BC₂N materials in spintronics and nanoscale device in the future.