The Minimum Rank of a 3 × 3 Partial Block Matrix

After recalling the definition and some basic properties of finite hypergroups—a notion introduced in a recent paper by one of the authors—several non-trivial examples of such hypergroups are constructed. The examples typically consist of n n×n matrices, each of which is an appropriate polynomial in a certain tri-diagonal matrix. The crucial result required in the construction is the following: ‘let A be the matrix with ones on the super-and sub-diagonals, and with main diagonal given by a ₁…a _n which are non-negative integers that form either a non-decreasing or a symmetric unimodal sequence; then A_k =P_k (A) is a non-negative matrix, where p_k denotes the characteristic polynomial of the top k× k principal submatrix of A, for k=1,…,n. The matrices A_k as well as the eigenvalues of A, are explicitly described in some special cases, such as (i) a_i =0 for all ior (ii) a_i =0 for i<n and a_n =1. Characters ot finite abelian hypergroups are defined, and that naturally leads to harmonic analysis on such hypergroups.     

Spatial, temporal and spectral emission characteristics from electron oscillation driven by an intense circularly polarized few-cycle laser pulse

The spatial, temporal and spectral emission characteristics of radiation generated from electron oscillations driven by an intense circularly polarized few-cycle laser pulse have been investigated theoretically and numerically using a single electron model. For a femtosecond driving laser pulse with duration of one optical cycle, the maximal radiation emitted by the electron comprises only one electromagnetic pulse having durations much shorter than the optical cycle and belonging to the attosecond range. It is discovered that the influence of the initial phase on the process of full spatial characteristics of the radiation is apparent for intense few-cycle laser pulse. The characteristics can be used to measure the initial phase of intense circularly polarized few-cycle laser pulse in experiments.     

Fission fragment mass yields of Th to Rf even-even nuclei

Fission properties of the actinide nuclei are deduced from theoretical analysis. We investigate potential energy surfaces and fission barriers and predict the fission fragment mass yields of actinide isotopes. The results are compared with experimental data where available. The calculations were performed in the macroscopic-microscopic approximation with the Lublin-Strasbourg Drop (LSD) for the macroscopic part, and the microscopic energy corrections were evaluated in the Yukawa-folded potential. The Fourier nuclear shape parametrization is used to describe the nuclear shape, including the non-axial degree of freedom. The fission fragment mass yields of the nuclei considered are evaluated within a 3D collective model using the Born-Oppenheimer approximation.     

Nonexistence of axially symmetric,stationary solution of Einstein Vacuum Equation with disconnected symmetric event horizon

In this short note, we prove that if an axially symmetric, asymptotically flat, stationary solution of the Einstein Vacuum Equation admits an involution interchanging the components of the event horizons, then the force between at least two of the event horizons must be positive. The proof is based on an observation that in this case the force can be expressed as a line integral with positive integrand.     

数控裁剪机切割刀壳体振动噪声预测分析

高频往复式切割刀是柔性材料数控裁剪机的核心部件.该文对切割刀壳体的振动噪声改进措施进行研究.首先对切割刀进行刚体动力学分析,获取其所受动载荷情况,并通过数值计算验证了切割刀刚体动力学模型的可靠性.其次,基于有限元法获取切割刀壳体模态特性,并通过锤击激振实验验证了有限元模型的准确性.然后基于模态仿真结果进行谐响应分析,将...     

Understanding defect production in an hcp Zr crystal upon irradiation: An energy landscape perspective

Primary radiation damage in hcp Zr,including both defect production in a single collision cascade and damage buildup through cascade overlap,is investigated using molecular dynamics(MD)simulations from a potential energy landscape(PEL)perspective.It is found that the material’s response to an energetic particle can be understood as a trajectory in the PEL comprising a fast uphill journey and a slow downhill one.High-temperature-induced damage reduction and the difference in the radiation tolerance between metals and semiconductors can be both qualitatively explained by the dynamics of the trajectory associated with the topographic features of the system’s PEL.Additionally,by comparing irradiation and heating under a nearly identical condition,we find that large atomic displacements stemming from the extreme locality of the energy deposition in irradiation events are the key factor leading to radiation damage in a solid.Finally,we discuss the advantages of the PEL perspective and suggest that a combination of the PEL and the traditional crystallographic methods may provide more insights in future work.     

光纤布拉格光栅传感器应变传递双向耦合分析

粘贴于受弯基体表面的光纤布拉格光栅传感器测量应变与基体真实应变之间存在误差,因此研究光纤布拉格光栅传感器的变形机理、分析测量应变与真实应变之间的关系是目前的研究热点.首先研究光纤布拉格光栅传感器与基体之间的相互作用机理,然后,利用有限元解、实验值和理论解进行对比验证,并分析产生误差的原因.最后,通过参数分析研究弹性模量、厚度、粘结长度等参数对光纤布拉格光栅传感器测量效果的影响.结果表明有限元解、实验值和理论解具有相同的变化趋势,有限元解与理论解的误差在2%以内,测量值与理论解的误差在7%以内.平均应变传递率随着基体弹性模量的增大、粘结长度的增长而逐渐增大,随粘结层弹性模量的减小、粘结层厚度的增大而逐渐减小.该理论对应用于受弯基体应变测量的光纤布拉格光栅传感器的设计具有一定的指导意义.     

X-ray absorption investigation of the site occupancies of the copper element in nominal Cu_3Zn(OH)_6FBr

With Zn substitution to the three-dimensional antiferromagnetically ordered barlowite Cu_4(OH)_6 FBr,Cu_3 Zn(OH)_6 FBr shows no magnetic phase transition down to 50 mK,and the system is suggested to be a two-dimensional kagome quantum spin liquid [Chin.Phys.Lett.34 077502(2017)].A key issue to identify such phase diagram is the exact chemical formula of the substituted compound.With Cu L-edge x-ray absorption spectrum(XAS) combined with the MultiX XAS calculations,we evaluate the Cu concentration in a nominal Cu_3 Zn(OH)_6 FBr sample.Our results show that although the Cu concentration is 2.80,close to the expected value,there is 34% residual Cu occupation in intersite layers between kagome layers.Thus the Zn substitution of the intersite layers is not complete,and likely it intrudes the kagome layers.     

红外倒焊机的结构和改进

对准倒焊机是制备混合红外焦平面阵列（ＨＩＲＦＰＡ）所必需的设备。ＨＤＤ－１型红外倒焊机是国内第一台自行研制的光机电仪器。叙述了本仪器的原理、特性和在ＨＩＲＦＰＡ中的应用，讨论了该仪器的对准精度，提出了采用自动校准器改进上、下两个焊接面找平的实施方法。     

噻胺酮麻醉剂对鼠S180肿瘤31P MRS的影响

对实验动物肿瘤进行活体³¹P MRS研究首要的是有效地固定动物.本文初步研究了用噻胺酮麻醉后的小鼠S180肿瘤在麻醉过程中³¹P MRS随时间的变异性.研究发现噻胺酮是一个安全系数高、起效快、麻醉过程适宜且对肿瘤的³¹P MRS无显著影响的麻醉药.因而噻胺酮适用于连续测定³¹P MRS的需要.