一种三维矩阵的奇异值分解算法

提出了一种三维矩阵的奇异值分解算法,该法适合处理具有三维矩阵数据的模式识别和分类模型等领域实际问题,该算法与二维矩阵奇异值分解算法类似,通过求解约束条件极值问题获得,该算法与已有的三线性分解算法比较,相对简单,计算速度快,适合处理数据量大的实际问题,该算法也很容易推广到更高维阵列的光谱数据。     

波长范围对色度学计算精度的影响

本文讨论了波长范围的选取对三刺激值计算精度的影响；简述了ＣＩＥ关于三刺激值计算的有关规定；介绍了波长范围截短后产生的最大误差的计算方法，并在实际样品大量测试计算的基础上，选出２２个有代表性样品的测试计算结果。从中可看出一般样品的误差量值以及外插法校正后的效果。     

利用不确定性提高击中击不中变换的抗畸变能力

对用于目标识别技术的形态学击不中变换进行了分析,引入不确定和模式的概念使得容易受到畸变干扰的像素点对判别结果的作用降低,得到联合排序多值击中击不中变换,从而在不损失图像信息的前提下,提高了目标识别的抗畸变能力,并且具有在输入图像和参考模板之间进行精确匹配的能力。基于非相干相关器,利用新颖的多值互补编码方法,实现了二值图像的联合序多值击中击不中变换,达到了较好的实验结果。     

Optimized quantum singular value thresholding algorithm based on a hybrid quantum computer

Quantum singular value thresholding (QSVT) algorithm, as a core module of many mathematical models, seeks the singular values of a sparse and low rank matrix exceeding a threshold and their associated singular vectors. The existing all-qubit QSVT algorithm demands lots of ancillary qubits, remaining a huge challenge for realization on nearterm intermediate-scale quantum computers. In this paper, we propose a hybrid QSVT (HQSVT) algorithm utilizing both discrete variables (DVs) and continuous variables (CVs). In our algorithm, raw data vectors are encoded into a qubit system and the following data processing is fulfilled by hybrid quantum operations. Our algorithm requires O[log(MN)] qubits with O(1) qumodes and totally performs O(1) operations, which significantly reduces the space and runtime consumption.     

Accurate Q value for the Se double-electron-capture decay

The Q   value of the neutrinoless double-electron-capture (0νECEC$0\nu \text{ECEC}$) decay of ⁷⁴Se was measured by using the JYFLTRAP Penning trap. The determined value is 1209.169(49) keV, which practically excludes the possibility of a complete energy degeneracy with the second ²⁺$2^{+}$ state (1204.205(7) keV) of ⁷⁴Ge in a resonant 0νECEC$0\nu \text{ECEC}$ decay. We have also computed the associated nuclear matrix element by using a microscopic nuclear model with realistic two-nucleon interactions. The computed matrix element is found to be quite small. The failure of the resonant condition, combined with the small nuclear matrix element and needed p-wave capture, suppresses the decay rate strongly and thus excludes ⁷⁴Se as a possible candidate to search for resonant 0νECEC$0\nu \text{ECEC}$ processes.     

层流中固体颗粒运动方程的初值问题和稳定性分析

层流中固体颗粒运动方程的初值问题解的存在唯一性表明悬浮颗粒在圆管层流人口段剪切区中的运动，由进入该区的颗粒初始状态（初始位置和初始速度）确定，其运动轨迹也由该初始状态唯一确定。层流中固体颗粒运动方程稳定性分析表明达到稳定状态的颗粒必定满足条件：up＝uf（∞，c），up＝0，Re（α／R）2（c／R）＜2．8728．     

用清除羟自由基法评价竹叶提取物抗氧化能力

进行了Fe2+与邻二氮菲生成红色配合物的吸收光谱,抗氧化剂TBHQ及竹叶提取物样品对清除羟自由基能力的研究。分光光度法测定抗氧化剂清除羟自由基能力的测定波长为509.1 nm。以IC₅₀值(清除率为50%时,抗氧化剂的浓度值)作为评价抗氧化剂清除羟自由基能力的指标,测得合成抗氧化剂和效果最好竹叶提取物样品IC₅₀值分别为0.040(TBHQ),0.378(M20),0.323(M40),0.334(M60),M20, M40, M60等竹叶提取物可以作为天然抗氧化剂进行开发。     

Growth and magnetic properties of single crystalline Ni nanowire arrays prepared by pulse DC electrodeposition

Highly textured Ni nanowire arrays were fabricated into anodic aluminum oxide(AAO) templates by pulse DC electrodeposition.The applied voltage and pH value of electrolytes were found strongly affecting the microstructure and magnetic properties of Ni nanowire arrays.Low applied potential and pH value both prefer to form polycrystalline fcc Ni nanowires.Increasing the applied potential or pH value favors the Ni [220] texture and even eventually forms the [220] oriented single crystal Ni wires,while exorbitan...     

Covering group and graph of discretized volumes

We consider a discretized volume V consisting of finite, congruent and attached copies of a tile t. We find a group L _V the orbit of which, when applied to t, is just V. We show the connection between the structural matrixQ in the formal solution of a boundary value problem formulated for volume V and the so called auxiliary matrix of the graph Γ _v associated with V. We show boundary value problems to be isomorphic if the graphs associated with the volumes are isomorphic, or, if the covering groups are Sunada pairs.     

Heat Kernel Asymptotics of Zaremba Boundary Value Problem

The Zaremba boundary-value problem is a boundary value problem for Laplace-type second-order partial differential operators acting on smooth sections of a vector bundle over a smooth compact Riemannian manifold with smooth boundary but with discontinuous boundary conditions, which include Dirichlet boundary conditions on one part of the boundary and Neumann boundary conditions on another part of the boundary. We study the heat kernel asymptotics of Zaremba boundary value problem. The construction of the asymptotic solution of the heat equation is described in detail and the heat kernel is computed explicitly in the leading approximation. Some of the first nontrivial coefficients of the heat kernel asymptotic expansion are computed explicitly. This revised version was published online in July 2006 with corrections to the Cover Date.