“裸奔年代”里的“欲望与恐惧”——由《蜕变三部曲》谈墨白的小说创作

墨白的《蜕变三部曲》是关于城市化进程中由乡村而城市的知识者的精神蜕变和精神重建的叙述。小说文本的主题集中在两个方面,一是＂乡下人＂进入城市过程的姿态：欲望的沉沦伴随着道德的忏悔;二是他们重返乡村的历程：城市中的挫败促使他们寻求母体的庇护,在这一过程乡村的形象被重构。小说文本的形式的突出特点是叙述时间和时态的频繁变化造成故事叙述的破碎感和跳跃感,以及超叙述结构的运用造成的间离效果,这都与作者对生命和存在的理解有关。     

Response of Zhadang Glacier runoff in Nam Co Basin,Tibet, to changes in air temperature and precipitation form

This paper describes 2007/2008 inter-annual changes in runoff from the Zhadang Glacier located on the northern slope of Nyainqêntanglha Range, Tibet, and analyzes their causes. Precipitation increased by 17.9% in summer months of 2008 compared with the same period in 2007, drainage basin runoff decreased by 33.3%, and glacial meltwater decreased by 53.8%. Change in positive accumulated air temperature explained approximately half of the inter-annual difference in glacial meltwater using a de-gree-day model. This suggests that the glacier is extremely sensitive to changes in air temperature. Energy balance analysis showed that change in glacier surface albedo, considered to be caused by difference in precipitation form, resulted in the large inter-annual difference in glacial meltwater. It was shown statistically that precipitation form in the summer months of 2007 was mainly rainfall which comprised 71.5% of total precipitation, while during the same period in 2008 rainfall accounted for 30.7%, with the majority of precipitation falling as snow. Precipitation form should be considered an independent factor when analyzing glacier sensitivity to climate change or forecasting the runoff from certain glaciers.     

一个新的较精确的半离散Hilbert型不等式

应用权系数方法及Hadamard不等式, 建立一个新的具有最佳常数因子的半离散Hilbert-型不等式, 它联系着一个含对数的核, 并考虑了其较精确的多参数推广形式及其等价式.     

Diffusion bound and reducibility for discrete Schr?dinger equations with tangent potential

In this paper, we consider the lattice Schr?dinger equations $$i\dot q_n (t) = \tan \pi (n\alpha + x)q_n (t) + \varepsilon \left( {q_{n + 1} (t) + q_{n - 1} (t)} \right) + \delta v_n (t)\left| {q_n (t)} \right|^{2\tau - 2} q_n (t),$$ with ?? satisfying a certain Diophantine condition, x ?? ?/?, and ?? = 1 or 2, where v _n (t) is a spatial localized real bounded potential satisfying |v _n (t)| ? Ce^???|n|. We prove that the growth of H ¹ norm of the solution {q _n (t)}_n??? is at most logarithmic if the initial data {q _n (0)} _n??? ?? H ¹ for ? sufficiently small and a.e. x fixed. Furthermore, suppose that the linear equation has a time quasi-periodic potential, i.e., $$i\dot q_n (t) = \tan \pi (n\alpha + x)q_n (t) + \varepsilon \left( {q_{n + 1} (t) + q_{n - 1} (t)} \right) + \delta v_n \left( {\theta ^0 + t\omega } \right)q_n \left( t \right).$$ Then the linear equation can be reduced to an autonomous equation for a.e. x and most values of the frequency vectors ?? if ? and ?? are sufficiently small.     

一类混合型数论函数的均值估计

设λ_f(n)是标准化的Hecke算子T_n的尖形式的傅立叶系数, σ(n)是除数和函数, φ(n)是欧拉函数。 利用解析的方法研究混合数论函数λ_f(n)σ^b(n)φ^c(n)的平均阶估计, 得到了上界估计∑_n≤xλ_f(n)σ^b(n)φ^c(n)≪x^b+c+1/2+ε,这里ε>0是任意的。     

基于函数sinx/x的高等数学教学探索

主要基于高等数学中的重要函数sinx/x的教学作一些探讨.该函数在整个高等数学中扮演着极其重要的角色,它与重要极限、Jordan不等式、Dirichlet积分等有着紧密的联系.围绕该函数选取和设计了若干相关的教学实例,并对极限论、微分学、积分学、级数理论等模块中的重要知识点展开讨论,力争用一个函数将高等数学中的主要内容贯穿起来,展现知识体系的一脉相承性.实际教学中可利用启发式教学、探究式教学等多种手段,并结合数学软件讲深讲透这些案例,提高学生学习的兴趣和积极主动性,增强学生的创新思维能力,从而提高高等数学教学质量.     

边冠图 Tm◇Sn的临界群

确定了任意树与星的边冠图 Tm◇Sn 的临界群的代数结构,证明了边冠图 Tm◇Sn 的临界群的Smith标准型为 (n－2)m 个循环群的直和,同时给出了图 Tm◇Sn的生成树数目.     

非平稳鞅差序列生成的滑动平均过程精确渐近性的一般结果

利用非平稳鞅差序列的弱收敛定理和矩不等式, 得到了对于相当广泛的边界函数和拟权函数滑动平均过程部分和矩完全收敛性的精确渐近性的一般形式.     

一个加强的半离散Hardy-Hilbert型不等式

通过引入独立参数, 应用权函数的方法及Hermite-Hadamard不等式, 建立一个具有最佳常数因子的、 加强的半离散Hardy-Hilbert型不等式, 并给出其加强的等价式.     

A class of exact solutions for N-dimensional incompressible magnetohydrodynamic equations

In this paper, a sufficient and necessary condition is presented for existence of a class of exact solutions to N-dimensional incompressible magnetohydrodynamic(MHD)equations. Such solutions can be explicitly expressed by appropriate formulae. Once the required matrices are chosen, solutions to the MHD equations are directly constructed.