Effects of porosity heterogeneity on chemical dissolution-front instability in fluid-saturated rocks

Homogeneity and heterogeneity are two totally different concepts in nature.At the particle length scale,rocks exhibit strong heterogeneity in their constituents and porosities.When the heterogeneity of porosity obeys the random uniform distribution,both the mean value and the variance of porosities in the heterogeneous porosity field can be used to reflect the overall heterogeneous characteristics of the porosity field.The main purpose of this work is to investigate the effects of porosity heterogeneity on chemical dissolution front instability in fluid-saturated rocks by the computational simulation method.The related computational simulation results have demonstrated that:1) since the propagation speed of a chemical dissolution front is inversely proportional to the difference between the final porosity and the mean value of porosities in the initial porosity field,an increase in the extent of the porosity heterogeneity can cause an increase in the mean value of porosities in the initial porosity field and an increase in the propagation speed of the chemical dissolution front.2) An increase in the variance of porosities in the initial porosity field can cause an increase in the instability probability of the chemical dissolution front in the fluid-saturated rock.3) The greater the mean value of porosities in the initial porosity field,the quicker the irregular morphology of the chemical dissolution front changes in the supercritical chemical dissolution systems.This means that the irregular morphology of a chemical dissolution front grows quicker in a porosity field of heterogeneity than it does in that of homogeneity when the chemical dissolution system is at a supercritical stage.

Solving the Sequence Problems by Constructing Matrices and Determinants

Higher mathematics is more extensive, profound and abstract than elementary mathematics; it is the development and sublimation of elementary mathematics. They have a deep connection, determinant and matrix theories originated in Elementary Mathematics, in tum, they also can be used as tools to solve related problems, and they have important roles in guiding the study of elementary mathematics. This paper will introduce the methods of solving some recursive sequence problems by constructing determinants and matrices.

如何理解“东亚的战争与和平”--以探索合作途径的跨学科研究为中心

关于"东亚的战争与和平"的课题不是仅限于日本、韩国、中国的问题,而是超国界的灾害,是需要世界各国持续关注并引向和平解决轨道的重要问题。战争与和平需要政治、经济、社会、文化、思想、语言等跨学科的综合研究,但目前很难找到关于"战争与和平"的综合视角的研究成果。以多学科视角对战争与和平概念进行分类,在此基础上考察"和平学"与"和解学"的定义,从而理解战争与和平议题,提出和平解决的实践方案。遏制战争的能力越强,实现和平的路程就越近,为此需要实施最大限度地减少阻碍和平要素的战略,避免各种利益构造相冲突的"战争特殊性",在社会经济生活中共享"追求和平的普遍理念"。

Influence of electroacupuncture on histomorphology of lacrimal glands and ocular surface in experimental dry eye syndrome

Objective： To observe the influence of electroacupuncture （EA） on histomorphologies of lacrimal glands, cornea and conjunctiva in experimental dry eye syndrome, and to explore the repair effects of EA on lacrimal glands and ocular surface damage. Methods： Twenty-four healthy male New Zealand rabbits were randomly divided into a normal group, a model group, an EA group and a medication group, 6 rabbits in each group. Experimental dry eye syndrome models were prepared in rabbits by using 0.1% benzalkonium chloride for eye drops. Tear secretion volume, break-up time of tear film （BUT） and corneal fluorescein staining score were observed before and after the treatment. Periodic acid Schiff （PAS） staining method was used to observe the changes of conjunctival goblet cells in rabbits. After hematoxylin eosin （HE） staining, morphological changes of rabbit cornea, conjunctiva and lacrimal gland tissues were observed under light microscope. Results： Compared with the normal group, tear secretion volume and BUT were significantly reduced （both P^0.01）, while the corneal fluorescein staining score was significantly increased （P〈O.01） in the model group. Compared with the model group, tear secretion volume and BUT were significantly increased, while the corneal fluorescein staining score was significantly decreased in the EA group and the medication group （all P〈0.01）. Compared with the normal group, the number of conjunctival goblet cells in the model group was significantly reduced; compared with the model group, the numbers of conjunctival goblet cells were all relatively higher in the EA group and the medication group. Pathological lesions of cornea, conjunctiva and lacrimal glands all showed improvement by HE staining in the EA group and the medication group after the intervention. Conclusion： EA can improve tear secretion and tear film stability of rabbit dry eye syndrome, and repair the pathologic lesions of conjunctival goblet cells, corneal epithelia, cornea, conjunctiva and lacrimal glands.

Spectrality of a class of self-affine measures with decomposable digit sets

The self-affine measure associated with an expanding matrix and a finite digit set is uniquely determined by the self-affine identity with equal weight. The spectral and non-spectral problems on the self- affine measures have some surprising connections with a number of areas in mathematics, and have been received much attention in recent years. In the present paper, we shall determine the spectrality and non-spectrality of a class of self-aiffine measures with decomposable digit sets. We present a method to deal with such case, and clarify the spectrality and non-spectrality of a class of self-affine measures by applying this method.

1-GENERATOR QUASI-CYCLIC CODES

This paper discusses the enumeration of 1-generator quasi-cyclic codes and describes an algorithm which will obtain one, and only one, generator for each 1-generator quasi-cyclic code.