模糊积分变换与模糊Choquet积分的一致连续性

在一般非负单调函数空间 m[0 ,a]上引入模糊积分变换与距离的概念 ,证明了这种模糊积分变换与模糊 Choquet积分在 m[0 ,a]上关于这种距离是一致连续的 ,从而说明当 m[0 ,a]上两个函数变化不大时 ,不会使相应的模糊积分变换与模糊 Choquet积分产生较大的变化 .     

Centroids, Centers, Medians: What is the Difference?

Consider a finite subset F of a real normed space. In this paper we try to evaluate the largest possible distance between pairs of points which are, for F, the centroid, a center, or a median. The results seem to show that only when X is a two-dimensional, strictly convex space, or when X is a Hilbert space, what the geometrical intuition indicates is more or less true. We give some examples showing some of the 'pathological' situations which can arise. Also, we indicate some open problems.     

-60℃～80℃面源黑体辐射特性校准系统

分析面源黑体及其辐射特性校准在红外热像仪研制、航天红外遥感及民用领域等的需求背景。提出一种基于光谱辐亮度比对的－60℃－80℃面源黑体辐射特性校准装置，并详细地分析校准数学模型。     

数字显微全息重建图像的景深扩展研究

显微物镜的景深问题限制数字显微全息在大纵深视场中的应用. 本文充分利用数值重建的特点, 采取低频和高频系数子图上的最大亮度梯度的局部方差作为聚焦判据, 在小波分解域内对显微全息重建图像的景深扩展问题进行了研究. 对倾斜的连续物体碳纤维进行三维重建, 分析了重建距离与直径测量误差的关系. 以超声波雾化器生成的微液滴颗粒场为例, 对离散颗粒场的重建图像进行了景深扩展. 利用基于广义洛伦兹-米散射理论的模型分别模拟1-15 μm 的非透明与透明离散颗粒的显微全息图, 分析了该方法重建的颗粒场的纵深定位误差与夫琅禾费系数的关系, 对比了非透明与透明颗粒纵深定位误差的异同点. 实验和模拟结果显示出该方法对于连续物体和离散颗粒场的显微全息重建图像的景深扩展能力, 且能由此准确重建物体信息.     

剪切波变换在星点提取中的应用

为了实现高精度和高准确性的星图识别和姿态确定,本文对星点提取算法进行了研究,将剪切波变换应用到星点提取技术中。首先,通过利用剪切波变换对星图进行分解,得到不同尺度、不同方向的系数;然后,对剪切系数进行阈值处理并重构得到去噪后的星图,再对重构星图进行顶帽变换和自适应阈值处理,完成星图滤波;最后,通过质心误差补偿法提取星点的坐标,有效地完成星点提取。实验结果表明,采用剪切波变换的星图滤波对噪声去除非常有效;质心误差补偿法的误差在0.003左右,明显优于传统的质心法,基本满足星敏感器的精度高和抗干扰能力强等要求。     

Galileo/GPS组合接收机载波相位定位方法

鉴于载波相位观测量可提供高精度定位信息的特点，采用扩展卡尔曼滤波和载波相位组合观测值相结合的方法，提出了一种适合Galileo／GPS组合接收机的载波相位定位方法。通过扩展卡尔曼滤波给出精确的载波相位不足整周的相位值，并且在模糊度保持为整数的前提下，根据一定的组合标准论述了具有相应特性的组合观测值，给出一些典型的组合，通过这些组合后的观测值可以容易地解算整周模糊度。最后对结果进行了分析。     

Integrating design problems in mathematics curriculum: an architecture college case study

This paper reports an attempt to improve results in the mathematics course in one of the architecture colleges in Israel through practise in applications. The effect of integrating structure design problems in the calculus curriculum on students' achievements and attitudes was examined. The applied topics in the curriculum were connected to calculus topics and studied through problembased learning activities. The integrated curriculum was implemented and the learning results in experimental and control groups were assessed by means of achievement tests, attitude questionnaires and student interviews. The learning achievements in the experimental group proved to be significantly higher than in the control group. The positive impact of learning applications on motivation, understanding, creativity and interest in mathematics is indicated.     

L^P BOUNDS FOR SINGULAR INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ON PRODUCT DOMAINS

In this paper, the authors establish Lp boundedness for several classes of multiple singular integrals along surfaces of revolution with kernels satisfying rather weak size condition. The results of the corresponding maximal truncated singular integrals are also obtained. The main results essentially improve and extend some known results.     

Vanishing power values of commutators with derivations

Let R be a prime ring of char R ≠ 2, let d be a nonzero derivation of R, and let ρ be a nonzero right ideal of R such that [[d(x)x ⁿ , d(y)] _m , [y, x] _s ] ^t = 0 for all x, y ? ρ, where n ≥ 1, m ≥ 0, s ≥ 0, and t ≥ 1 are fixed integers. If [ρ, ρ]ρ ≠ 0 then d(ρ)ρ = 0.     

用于测量强流脉冲电子束的B-dot

 描述了B-dot探头测量脉冲电子束流强度和束质心位置的原理,分析了B-dot探头工作于自积分和微分模式的条件,并根据所测电子束流信号的前沿和脉冲宽度特点,确定B-dot探头工作于微分模式,设计其电感参数约为60 nH。在电子束流模拟装置上对B-dot探头的灵敏度系数和偏心曲线进行了标定,标定得到B-dot探头及测试线路的灵敏度系数为4 147 A/V。将探测器安装在神龙一号加速器上进行束测实验,多次实验结果表明该探测器可以实现电子束流强度和质心位置的准确测量。