头部电阻抗成像正问题的解析解研究

建立头颅的球型仿真模型.用头皮、颅骨、脑脊髓和脑组织四层同心球结构模拟头颅.对各层组织采用复数电导率,用分离变量法分析头颅球模型在最外层(头皮层)表面施加点电流激励的情况下,内层的电位分布.根据电位分布的表达式,绘制出颅内的电位等位线图.分析电流注入角度对电位分布的影响.仿真结果表明,当颅内脑组织电导率变化时,头皮表面电位的实部变化明显大于虚部,激励电流频率变化对头皮表面电位虚部的影响较为明显.研究结果可用于分析头部电阻抗成像问题.     

再谈部分电路的感生电动势

由于中学课程内容的限制, 加上学生自身数学知识有限, 对感生电动势很难有准确深入的把握, 难以 领会其实质. 而现在的教学辅导材料鱼龙混杂, 有些题目实则是误导. 以一道典型题的错解为例, 分析其错误原因, 并给出详细的正确解题过程     

Structural,electronic,and magnetic properties of vanadium atom-adsorbed MoSe_2 monolayer

Using the first-principles calculations, we study the structural, electronic, and magnetic properties of vanadium adsorbed MoSe_2 monolayer, and the magnetic couplings between the V adatoms at different adsorption concentrations. The calculations show that the V atom is chemically adsorbed on the MoSe_2 monolayer and prefers the location on the top of an Mo atom surrounded by three nearest-neighbor Se atoms. The interatomic electron transfer from the V to the nearestneighbor Se results in the polarized covalent bond with weak covalency, associated with the hybridizations of V with Se and Mo. The V adatom induces local impurity states in the middle of the band gap of pristine MoSe_2, and the peak of density of states right below the Fermi energy is associated with the V- dz~2 orbital. A single V adatom induces a magnetic moment of 5 μBthat mainly distributes on the V-3d and Mo-4d orbitals. The V adatom is in high-spin state, and its local magnetic moment is associated with the mid-gap impurity states that are mainly from the V-3d orbitals. In addition,the crystal field squashes a part of the V-4s electrons into the V-3d orbitals, which enhances the local magnetic moment.The magnetic ground states at different adsorption concentrations are calculated by generalized gradient approximations(GGA) and GGA+U with enhanced electron localization. In addition, the exchange integrals between the nearest-neighbor V adatoms at different adsorption concentrations are calculated by fitting the first-principle total energies of ferromagnetic(FM) and antiferromagnetic(AFM) states to the Heisenberg model. The calculations with GGA show that there is a transition from ferromagnetic to antiferromagnetic ground state with increasing the distance between the V adatoms. We propose an exchange mechanism based on the on-site exchange on Mo and the hybridization between Mo and V, to explain the strong ferromagnetic coupling at a short distance between the V adatoms. However, the ferromagnetic exchange mechanism is sensitive to both the increased inter-adatom distance at low concentration and the enhanced electron localization by GGA+U, which leads to antiferromagnetic ground state, where the antiferromagnetic superexchange is dominant.     

由Pb-O螺旋链构筑具有罕见ecl拓扑结构的铅(Ⅱ)配位聚合物

Under hydrothermal condition, a novel coordination polymer [Pb(C₄H₄O₆)]_n has been successfully synthesized by reaction flexible racemic ligand D,L-tartaric acid (C₄H₄O₆) and Pb(Ⅱ)(NO₃)₂. Its structure is determined by single-crystal X-ray diffraction analysis and further characterized by X-ray powder diffraction, IR, CHN and TG analyses. It crystallizes in tetragonal, space group I4₁/acd with a=1.569 0(2) nm, c=1.009 5(2) nm, V=2.485 0(7) nm³, Z=16. Its structure contains left- and right-handed helical chains. Such helical chains with opposite chirality are alternatively arranged and further connected to form a three-dimensional framework. Topology analysis shows that it presents rare ecl topological structure. CCDC: 771026.     

大黄鱼大型座底式围栏养殖的不同形式和管理的效果

为了解大黄鱼大型座底式围栏养殖的不同形式和管理的效果, 在详细介绍围栏结构和饲养管理技术的基础上, 对养殖效果进行了比较. 结果: 在加强饲养管理的条件下, 以钢管柱桩+铜合金网衣围栏养殖效果最佳, 台州大陈岛海域的该种形式围栏2017~2018年平均单位面积产量达到27kg·. 研究结果可为大黄鱼围栏养殖的形式选择提供参考, 同时为大型围栏养殖提供管理经验     

氧掺杂对钠在石墨烯上吸附性能的影响

采用基于密度泛函理论的第一性原理方法,研究了本征石墨烯(P-graphene)和氧掺杂的石墨烯(O-graphene)吸附钠原子的吸附能、电荷密度、态密度以及储存量.结果表明,两种石墨烯中,钠原子的最佳吸附位置都是H位. O-graphene对钠原子的吸附能是-4.347 eV,比P-graphene对钠原子的吸附能(-0.71 eV)低很多. O-graphene中钠原子与氧原子和碳原子发生轨道杂化,P-graphene中没有杂化现象. O-graphene能够吸附10个钠原子,较P-graphene多.因此,O-graphene更适合储钠.     

三甲基硅烷化改性二氧化硅气凝胶

 采用六甲基二硅氮烷对二氧化硅凝胶进行疏水处理,得到了疏水性的二氧化硅气凝胶。用红外光谱和热分析表征处理前后二氧化硅气凝胶的性质,用测量显微镜跟踪处理前后气凝胶柱在空气中直径变化。结果表明,处理后气凝胶的表面羟基明显减少,在空气中的吸潮性大大降低,圆柱体在空气中的径向收缩率从30%降至3%。     

正则强码的分解与伯努利分布

本文得到正则强码的伯努利分布定理。还研究强码的分解,给出正则强码可分解为两个正则强码复合的充要条件。     

例谈三角形形状的判断

三角形的形状 (等腰、等边、直角、钝角及锐角三角形 )判断 ,是解三角形中的一类重要问题 .同学们在初中《平面几何》中学习和积累了判断三角形形状的一系列方法 ,概括起来主要是从角和边两个方面来判断 .从角来看 :1)最大角的形状确定了三角形的形状 ;2 )用两个较小角之和也可判断三角形的形状 ;3)等角对等边 .从边来看 :1)等边对等角 ;2 )边之间是否满足勾股关系 .高中《代数》中解三角形时 ,往往或直接或间接地需要判断三角形的形状 .这类题目的条件常常是一个或两个以边和角的三角函数为未知元的方程或不等式 ,属不定型问题 ,解答的方向…     

光学多目标识别的新方案

介绍一种数学形态学的击中与否（Ｈｉｔ－ｏｒ－Ｍｉｓｓ）算法，能快速准确实现光学多目标识别的新方案，避免了普通光学相关目标识别方法中经常出现的错误信号，因此，其目标识别结果更为有效可靠。