近红外光谱技术在鱼糜等级评定中的应用研究

利用近红外光谱技术,对冷冻和解冻状态的不同等级白姑鱼糜进行等级评定。采用一阶导数法和标准正态变量变换法进行光谱预处理,再对预处理后的数据进行主成分分析,以主成分分析-马氏距离模式识别方法建立不同等级白姑鱼糜的等级评定模型,并对7项理化指标(水分、蛋白质、粗脂肪、盐溶性蛋白、凝胶强度、持水率和白度值)进行了测定。结果表明,主成分分析可以将三个等级白姑鱼糜较好地区分开;冷冻状态白姑鱼糜建立的等级评定模型效果优于解冻状态白姑鱼糜,前者的综合预测正确率为96.3%,后者的综合预测正确率为83.3%;三个等级白姑鱼糜的理化指标存在一定的差异。研究表明,近红外光谱技术可以快速无损评定白姑鱼糜等级。     

Distance signless Laplacian eigenvalues of graphs

Suppose that the vertex set of a graph G is V(G)=\{v\mathrm{1},v\mathrm{2},\mathrm{...},vn\}. The transmission Tr(vi) (or D_i) of vertex vi is defined to be the sum of distances from vi to all other vertices. Let Tr(G) be the n\times n diagonal matrix with its (i, i)-entry equal to {{\displaystyle Tr}}_G(vi). The distance signless Laplacian spectral radius of a connected graph G is the spectral radius of the distance signless Laplacian matrix of G, defined as L(G)=Tr(G)+D(G), where D(G) is the distance matrix of G. In this paper, we give a lower bound on the distance signless Laplacian spectral radius of graphs and characterize graphs for which these bounds are best possible. We obtain a lower bound on the second largest distance signless Laplacian eigenvalue of graphs. Moreover, we present lower bounds on the spread of distance signless Laplacian matrix of graphs and trees, and characterize extremal graphs.     

Effects of Phase Damping on Controlled Teleportation of a Qubit by a GHZ State

We investigate controlled teleportation ofa qubit via a GHZ state with the influence of phase damping in the Bloch sphere representation. We use the average trace distance to describe how close the output state is to the input state to be teleported. Our results show that the average trace distance is a function of decoherence rates and angles of the analyzer performed by the controller in the single-particle projective measurement. Moreover, for a fixed value of the decoherence rate, one can adjust the analyzer angle to achieve the optimal average trace distance.     

On the Uniqueness for the Spatially Homogeneous Boltzmann Equation with a Strong Angular Singularity

We prove an inequality on the Wasserstein distance with quadratic cost between two solutions of the spatially homogeneous Boltzmann equation without angular cutoff, from which we deduce some uniqueness results. In particular, we obtain a local (in time) well-posedness result in the case of (possibly very) soft potentials. A global well-posedness result is shown for all regularized hard and soft potentials without angular cutoff. Our uniqueness result seems to be the first one applying to a strong angular singularity, except in the special case of Maxwell molecules. Our proof relies on the ideas of Tanaka (Z. Wahrscheinlichkeitstheor. Verwandte. Geb. 46(1):67–105, [1978]) we give a probabilistic interpretation of the Boltzmann equation in terms of a stochastic process. Then we show how to couple two such processes started with two different initial conditions, in such a way that they almost surely remain close to each other.     

MOTION OF THE ECCENTRIC ELLIPSOID: GYROSCOPIC BALANCE CONDITION AND STABILITY

本文研究了摩擦系数 和偏心距离对偏心椭球体回转平衡的影响,得到了椭球极轴与地面法向夹角 的运动方程,导出了两类稳定解.结果表明摩擦力是椭球能否旋转至直立的必要条件,当 偏心距一定, 摩擦系数 越大其运动至直立所需的时间越短.偏心距阻碍直立现象的出现,摩擦系数 一定,偏心距 越大,其运动至直立所需的时间越长.当偏心距值增大到一定程度,其将无法直立而是至一稳定的角度,并且稳定角度正比于偏心距,偏心距继续增大,将不会出现回转平衡.     

A parametrized compactness theorem under bounded Ricci curvature

We prove a parametrized compactness theorem on manifolds of bounded Ricci curvature, upper bounded diameter, and lower bounded injectivity radius.     

参数可控长距无衍射光束的生成方法研究

为了消除光学器件几何参数对无衍射光束传播特性调整的限制,实现长距空间中无衍射光束传播时特性参数的可控性,首先,通过研究axicon折射阴影区的电场分布特征,发现axicon无衍射区外过临界面后的近轴区域虽处于几何折射阴影近轴区域内,但仍存在光强服从第一类零阶贝赛尔函数分布的球面波;以此为基础,提出了一种不受传播空间距离限制的无衍射光束的生成方式;最后,在近12 m的尺度范围内进行无衍射光传播特性参数测试,发现其实验参数与理论计算值的差值不超过0.1μm。该无衍射光通过对第一类零阶贝塞尔函数分布的球面衍射光斑准直生成,本质上区别于传统的干涉无衍射光束生成方式,易于生成大尺度空间无衍射光束。该无衍射光生成方式适合用于非能量使用情况下大尺度空间的直线基准、光束空间通讯等领域,具有较大的价值与意义。     

球形和等长径圆柱装药在爆炸近区内载荷差异的实验研究

为了研究爆炸近区内装药形状对爆炸载荷的影响,运用压杆法测量了爆炸容器内壁的压力。通过 实验发现,对于圆柱装药径向方向上的正反射爆炸载荷,等长径圆柱装药的压力峰值、冲量与相同当量下球形 装药对应量的比最大超过2。还通过实验验证了数值模拟,并运用数值模拟获得2种装药形状下爆炸载荷的 静水压、密度、粒子速度,得到爆炸近区内2种装药形状载荷的差异以及该差异随爆心距离的变化规律。     

逆冲断层地震主震的突变理论分析

逆冲断层系统作准静态形变时的功、能量增量关系可以分解为关于体积应变能的功能增量关系和关于偏应力能的功能增量关系．采用突变理论方法对逆冲断层系统的偏应力功能量增量关系进行的分析表明:折迭突变模型展示的性状可对逆冲断层地震主震的发震条件、演化过程和若干震后特性作恰当描述．围岩的围压大,最大主应力大,逆冲潜断层面倾角小,围岩切向刚度与断层抗剪强度曲线软化段拐点处斜率的比值小, 则震时围岩弹性能释放量大、 震级高, 断层破裂半错距大, 围岩端面位移振幅也大．断层岩体破裂扩容和震时围岩体积应变能释放, 增强了前述效应．     

4度循环图的不交路及k-宽直径

研究了4度循环图,构造出其任意两点之间的四条内部点不交路,并且给出其宽直径的一个较好的上界。