Relations among gauge functions, metrics and Hausdorff measures

In this paper we discuss the relations among the doubling condition, equivalence of the Hausdorff measures and equivalence of metrics. We will show that H ρ,g1 and H ρ,g2 are equivalent for any compact metric space (X,ρ) if and only if g1 and g2 are equivalent gauge functions. Then, we prove that for given c∈(0,∞)＼{1}, H ρ,g and H cρ,g are equivalent for any compact metric space (X,ρ) if and only if the gauge function g satisfies the doubling condition, where H ρ,g is the Hausdorff measure with respect to the metric ρ and gauge function g.     

Shift visual cryptography scheme of two secret images

A new visual cryptography scheme of two secret images, which is named the shift visual cryptography of two secret images, is given. The compound function family of a general construction model is also introduced. The uniqueness and validity of this model are proved, and the minimum rows and columns for realizing the scheme are obtained. Compared with visual cryptography of one secret image, the shift visual cryptography scheme can share two secret images with the same size of pixels expansion without losing the contrast. It has randomness and various forms, and furthermore, we can also visually recover two secret images even if the two shares are different in form and color.     

方程(t)=ax(t)+bx(t-τ)+cx(t+τ)关于[-τ,0]上的初始函数解的存在性

讨论了混合型方程x·(t)=ax(t)+bx(t-τ)+cx(t+τ)x(t)=φ(t)　　t≥0,t∈[-τ,0].其中φ(t)是任意给定的[-τ,0]上的连续函数,a、b、c∈R,当bc≠0时,对该混合型方程的所有解的基本形式做了详细讨论.     

在硅基材料上用Sol-gel法制备涂层测定氧扩散系数研究

提出一种测定氧扩散系数新方法。用Sol-gel法制备了Y2O3/SiO2均匀致密的薄膜,能成功解决其它方法无法得到的冶炼所得到的熔体,光学椭偏测定氧化层的膜厚。探讨了氧在薄膜中的扩散,在Wagner理论基础上,用数学方法表达在掺杂SiO2薄膜氧扩散系数与氧化层膜厚的关系。     

Present-Day crustal deformation field in China continent inverted from GPS observations, earthquake moment tensor and quaternary fault slip rates

Based on the bi-cubic Bessel spline function method, we have inverted the present-day crustal horizontal velocity field and deformation field in China continent by combining with 410 GPS observations, 327 seismic moment tensors of earthquakes and fault slip rates in China and its neighboring areas, and considered the geological and geophysical parameters at the same time. The results reveal that the crustal movement mostly takes on compression in SN-NE direction and extension in EW-NW direction in China continent. The continent is rotating southeast and takes on a clockwise rotation image from the west to the east, particularly in the southeast of Tibet and Chuan-dian area. Different blocks have different deformation in China continent. The south China, Ordos and Northeast block have good integrity.The deformation in the western part of China is obviously stronger than that in the eastern part. The strong strains are focused on the Himalaya, east Tibet,west Tian Shan and Chuandian block etc. The deformation at the joint of blocks is stronger than that within the blocks. The China continent deformation not only has the strike-slip faulting and extrusion feature but also has the crustal shortening and thickening feature.     

A Study on Forest Species Diversity and Its Ecological Service Function in the Plateau Area of Western Sichuan

This paper presents a study on species diversity and its ecological service function in the plateau area in western Sichuan. The results show that species diversity in the plantations on the cutover land has a tendency to increase and that its ecological service function is to be improved with stand age growing. The species diversity in forest communities is also gradually increased on different succession stage till reaching a climax level. But the species diversity in the climax community is slightly decreased before it reaches a relatively constant status. Ecological service function of diversity is gradually strengthened with the progress of succession. In addition, species diversity in a stand in a similar site and at a same age differs among forest types. Species diversity index within a coniferous and broad-leaved mixed forest is larger than that within a coniferous forest. Meanwhile, species diversity enriches as the tree density increases.     

两类素数之分解式及其惟一性

作为近代数论中两个非常重要的和———Gauss和与Jacobi和———的应用之一,有结论:形如4k+1的素数可写成两整数的平方和;形如3k+1的素数可写成两整数的平方和与其积之差,并对分解式的惟一性进行了讨论.     

卷积积分的几种方法

卷积积分是信号与线性系统课程中的重要运算工具。本介绍卷积积分的图解法和性质法以外，又讨论了卷积积分的定义法和数值计算法。     

污染物离子在粘土介质中扩散系数的测定

介绍了利用一种自制的特殊容器 ,测定污染物离子在粘土介质中运移的扩散系数的方法 .通过Fick扩散第二定律推导的扩散系数计算公式 ,求出了阴离子 (Cl-)和阳离子 (K ,Ca2 ,Zn2 ,Cu2 )的扩散系数 .试验结果发现 :阴离子在土壤中的扩散速度比阳离子大 ;二价阳离子的直径和电导率与扩散系数之间有明显的关系 .试验结果还表明 ,在土中加入少量的水泥 ,可大大减小污染物离子的扩散速度     

一般正态分布的W特征函数和矩

本文得出了一般正态分布的W特征函数和矩;两个独立的二进正态随机变量的二进和的W特征函数和矩;二元正态分布的W特征函数和矩.