用于图像拼接的电视摄像光学系统

采用图像拼接的方法获得了大视场、高角分辨率的电视摄像。用单心球透镜将无穷远目标成一以球透镜球心为圆心的球面像,用围绕球透镜的中继物镜阵列中的每一个中继物镜,按各自对应的球面上的一部分,成像在面阵CCD像面上,最后经电视图像处理技术将这些图像合拼成一幅图像。本文还给出了一个中继物镜阵列最多可由20×20个中继物镜组成的设计结果,焦距为457.9 mm,视场为 120°×104.8°,像素达到85亿、角分辨率为8"。用3个这样的系统,还可以实现360°全景式高分辨率摄像。这是一个在军事侦查、机场安全监视、空中和地面预警、航天摄影以及体育报道等方面具有广泛应用前景的新型电视摄像技术。     

Balls in complex hyperbolic manifolds

We get an explicit lower bound for the radius of a Bergman ball contained in the Dirichlet fundamental polyhedron of a torsion free discrete group G伡PU(n,1)acting on complex hyperbolic space.As an application,we also give a lower bound for the volumes of complex hyperbolic n-manifolds.     

液体粘滞系数实验实际问题的探讨

对落球法测液体粘滞系数实验实际情况v0vT进行探讨,得到相关数据和结论,更好的对该实验进行指导。     

p‐toluenesulfonic acid‐catalyzed synthesis of polysubstituted quinolines via Friedländer reaction under ball‐milling conditions at room temperature and theoretical study on the mechanism using a density functional theory method

The synthesis of polysubstituted quinolines was accomplished through Friedländer annulation between 2‐aminoaryl ketones and different active methylene compounds at room temperature using ball‐milling technique in the presence of p‐toluenesulfonic acid. The mechanism of the reaction investigated by density functional theory‐based modeling is also reported. This study aims at giving insight into the mechanism of the Friedländer reaction in the presence of acid catalysts. Copyright © 2014 John Wiley & Sons, Ltd.     

Efficient Synthesis of 2‐Aryl‐1‐arylmethyl‐1H‐benzimidazoles in Ball Mill without Solvent

2‐Aryl‐1‐arylmethyl‐1H‐benzimidazoles were prepared in excellent yields by the condensation of o‐phenylenediamine with aldehydes under mechanically activated solvent‐free conditions in ball mill using FeCl₃·6H₂O as the catalyst.     

锂离子电池高比容量FeSn_2-C复合负极材料的合成与性能

Sn基合金负极材料具有高达990 mAh·g-1的理论比容量,但其也存在因脱嵌锂过程发生巨大的体积变化而导致循环性能较差的问题.本文以Sn、Fe、石墨为原料利用简易的高能球磨法成功制备了具有核壳结构的FeSn2-C复合物,系统研究了球磨时间、FeSn2相含量对材料物相结构及电化学性能的影响,并分析了电极的失效机理.研究表明,球磨时间的增加有利于FeSn2金属间化合物相的形成及材料颗粒的细化,进而有利于材料比容量的增加及循环性能的提升;FeSn2相含量的增加能够提高FeSn2-C材料的比容量,但会降低FeSn2-C电极的循环稳定性.经工艺优化及组分调节,球磨24 h合成的Sn20Fe10C70材料具有最优的电化学性能,材料的比容量在540mAh·g-1左右,并能稳定循环100次,是一种非常有发展前途的锂离子电池高比容量负极材料.     

Widths of weighted Sobolev classes on the ball

We study the Kolmogorov n-widths and the linear n-widths of weighted Sobolev classes on the unit ball B^d in L_q,μ, where L_q,μ, 1≤q≤∞, denotes the weighted L_q space of functions on B^d with respect to weight . Optimal asymptotic orders of and as n→∞ are obtained for all 1≤p,q≤∞ and μ≥0.     

Existence and Uniqueness Theorems for a Three-step Newton-type Method under $L$-Average Conditions

In this paper, we study the local convergence of a three-step Newton-type method for solving nonlinear equations in Banach spaces under weaker hypothesis. More precisely, we derive the existence and uniqueness theorems, when the first-order derivative of nonlinear operator satisfies the $L$-average conditions instead of the usual Lipschitz condition, which have been discussed in the earlier study.     

Sharp bounds for the first non-zero Stekloff eigenvalues

Let (M,,) be an n(2)-dimensional compact Riemannian manifold with boundary and non-negative Ricci curvature. Consider the following two Stekloff eigenvalue problems

where Δ is the Laplacian operator on M and ν denotes the outward unit normal on ∂M. The first non-zero eigenvalues of the above problems will be denoted by p₁ and q₁, respectively. In the present paper, we prove that if the principle curvatures of the second fundamental form of ∂M are bounded below by a positive constant c, then with equality holding if and only if Ω is isometric to an n-dimensional Euclidean ball of radius , here λ₁ denotes the first non-zero eigenvalue of the Laplacian of ∂M. We also show that if the mean curvature of ∂M is bounded below by a positive constant c then q₁nc with equality holding if and only if M is isometric to an n-dimensional Euclidean ball of radius . Finally, we show that q₁A/V and that if the equality holds and if there is a point x₀∂M such that the mean curvature of ∂M at x₀ is no less than A/{nV}, then M is isometric to an n-dimensional Euclidean ball, being A and V the area of ∂M and the volume of M, respectively.