四项变系数非齐次递推关系的显式解

文献[1]研究了一类较特殊的三项常系数齐次递推式的一般解的结构。本文推广了[1]中的结果,给出了一般的四项变系数非齐次递推关系的明显解公式,为利用计算机处理相关问题提供了具体模式。     

NMR 中非线性梯度场下扩散行为的理论描述和蒙特卡罗模拟

利用传播子方法研究了在一般非线性场梯度下NMR信号的扩散衰减. 在自由扩散和平板间的限制扩散情况下获得了扩散衰减因子的理论表达式. 该表达式适用范围宽，且具有较简单的数学形式和明确的物理意义. 文中还将理论预测与蒙特卡罗模拟结果进行了比较. 结果表明：文中所采用的理论方法适合于表述自由扩散和短脉冲近似下的受限扩散；蒙特卡罗模拟提供了一种定性研究MRI和NMR中非均匀场梯度扩散衰减的方法.     

Selective Expression of a Carbazole-Phenothiazine Derivative Leads to Dual-mode AIEE,TADF and Distinctive Mechanochromism

In this article, we report a newly designed D−A−D’ derivative (CNCzPTZ), which displays selective expression of chromophores. This enables CNCzPTZ with solvatochromism, rare dual-mode AIEE properties, solid-state dual-emissions with phosphorescence and distinctive mechanochromism.CNCzPTZ exhibits dual-mode AIEE properties, since the emission band abruptly shifts from 550 nm to 500 nm as the water fraction increases. In the crystalline state, CNCzPTZ demonstrated dual emission bands of 478 nm and 538 nm.CNCzPTZ shows distinctive mechanochromic property in the solid state due to the planarization.     

Game Theory applied to gene expression analysis

This is a summary of the author’s Ph.D. thesis supervised by Fioravante Patrone and Stefano Bonassi and defended on 25 May 2006 at the Università degli Studi di Genova. The thesis in written in English and a copy is available from the author upon request. This work deals with the discussion and the application of a methodology based on Game Theory for the analysis of gene expression data. Nowadays, microarray technology is available for taking “pictures” of gene expressions. Within a single experiment of this sophisticated technology, the level of expression of thousands of genes can be estimated in a sample of cells under given conditions. Roughly speaking, the starting point is the observation of a “picture” of gene expressions in a sample of cells under a biological condition of interest, for example a tumor. Then, Game Theory plays a primary role to quantitatively evaluate the relevance of each gene in regulating or provoking the condition of interest, taking into account the observed relationships in all subgroups of genes.      

热力学(火用)的基本表达式与应用

把系统和环境构成的多相复合系统作为(火用)的物质属体,进一步明确了(火用)的定义,直接从理论上给出热力学(火用)的基本表达式,该式适用于均相或多相开口系统、封口系统、稳流系统等各类物理化学(火用)的计算。     

Canonical Quantum Teleportation of Two-Particle Arbitrary State

The canonical quantum teleportation of two-particle arbitrary state is realized by means of phase operator and number operator. The maximally entangled eigenstates between the difference of phase operators and the sum of number operators are considered as the quantum channels. In contrast to the standard quantum teleportation, the different unitary local operation of canonical teleportation can be simplified by a general expression.     

氢原子波函数的玻色算子表示

用四类玻色算子及博戈留波夫(Bogoliubov)变换,统一给出了氢原子波函数的表达式,并讨论了它们和波函数球坐标表达式的对应关系，完满地解决了氢原子波函数的算子表示问题. 关键词： 玻色算子 氢原子 波函数     

Analysis of gene expression as a new tool in ecotoxicology and environmental monitoring

Pollution affects biological mechanisms in exposed biota, with adverse effects on tissue, organism and, eventually, entire ecosystem levels. Ecotoxicological biomarkers reflect these pollutant-induced physiological alterations, usually by measuring changes in the activity of specific enzymes, or alterations in hormone or protein levels. New, robust polymerase-chain-reaction (PCR)-based methodologies for quantifying specific messenger-RNA molecules have allowed the development of a new family of biomarkers based on analysis of gene-expression patterns. These gene-expression biomarkers have already been applied to many aspects of risk assessment, from toxicological analyses of new substances to in-field monitoring schemes. We review the fundamentals of these techniques, their application in different environmental surveys, their limitations and the outlook for their use in the future.     

Constrained multi-degree reduction of triangular Bézier surfaces

This paper proposes and applies a method to sort two-dimensional control points of triangular Bezier surfaces in a row vector. Using the property of bivariate Jacobi basis functions, it further presents two algorithms for multi-degree reduction of triangular Bezier surfaces with constraints, providing explicit degree-reduced surfaces. The first algorithm can obtain the explicit representation of the optimal degree-reduced surfaces and the approximating error in both boundary curve constraints and corner constraints. But it has to solve the inversion of a matrix whose degree is related with the original surface. The second algorithm entails no matrix inversion to bring about computational instability, gives stable degree-reduced surfaces quickly, and presents the error bound. In the end, the paper proves the efficiency of the two algorithms through examples and error analysis.