A recent article by Gray, Stockard, and Stone contended that the increase in the proportion of births to unmarried women since 1974 in the United States was not caused by any major change in underlying fertility behavior but rather by a decrease in the proportion of women who are married, which increased both the population at risk and the birth rate of unmarried women relative to that of marri...

Decoding a fractal compressed image can be seen as solving an aane two-scale functional equation. If the aane term is zero, the dilation equation becomes linear and the solution is similar to the scaling functions from wavelet theory. In both cases a linear operator, parameter-ized with a few variables determines a complicate looking function. We present two classes of algorithms for gray image...

Paddy is one of major crops grown in China. Fractal dimension is an important parameter used to describe geometrical characteristics of many natural objects. The objective of this study is to investigate mathematical relationships between the fractal dimension and the yield of the paddy spike based on the fractal theory and the image processing technologies. The color images of paddy spikes wer...

A novel real-time gray-scale photolithography technique for the fabrication of continuous microstructures that uses a LCD panel as a real-time gray-scale mask is presented. The principle of design of the technique is explained, and computer simulation results based on partially coherent imaging theory are given for the patterning of a microlens array and a zigzag grating. An experiment is set u...

The theory instrument of grey relational analysis is grey relational grade between the sequences. The grey relational grade is a measure of the degree of association between two factors, or between two systems. It describes the relative changes among the various factors in the development process of the system. In turn, we can calculate the grey relational grade, compare and judge the grey rela...

In this paper, we study in detail the existence and stability of localized pulses in a GiererMeinhardt equation with an additional ‘slow’ nonlinearity. This system is an explicit example of a general class of singularly perturbed, two component reaction-diffusion equations that goes significantly beyond wellstudied model systems such as Gray-Scott and Gierer-Meinhardt. We investigate the existe...

This analysis joins the debate on how declines in marriage have shifted the composition of the unmarried and married populations in the United States, and how compositional shifts have affected nonmarital birth rates. Gray, Stockard, and Stone (2006) presented one model for compositional effects that Ermisch (2009) challenged with alternative statistical tests. I propose an alternative model fo...

Abstract: In this paper, we mainly study the theory of linear codes over the ring R = Z4 + uZ4 + vZ4 + uvZ4. By the Chinese Remainder Theorem, we have R is isomorphic to the direct sum of four rings Z4. We define a Gray map Φ from R n to Z 4 , which is a distance preserving map. The Gray image of a cyclic code over R is a linear code over Z4. Furthermore, we study the MacWilliams identities of ...

Decoding a fractal compressed image can be seen as solving an a ne two-scale functional equation. If the a ne term is zero, the dilation equation becomes linear and the solution is similar to the scaling functions from wavelet theory. In both cases a linear operator, parameterized with a few variables determines a complicate looking function. We present two classes of algorithms for gray image ...

As a way to further improve the electronic properties of group V layered semiconductors, we propose to form in-layer 2D heterostructures of black phosphorus and gray arsenic. We use ab initio density functional theory to optimize the geometry, determine the electronic structure, and identify the most stable allotropes as a function of composition. Because pure black phosphorus and pure gray ars...