Two long-standing problems in Tsallis’ statistics

On the basis of Tsallis’ entropy and the joint probability factorization condition, two controversial problems existing in Tsallis’ statistics are investigated, where one is whether energy is extensive or not and the other is whether it is necessary to introduce the so-called generalized zeroth law of thermodynamics or not. The results obtained show clearly that like entropy, energy is also nonextensive in Tsallis’ statistics, and that the zeroth law of thermodynamics has been implicitly used in Tsallis’ statistics since 1988. Moreover, it is expounded that the standard energy additivity rule adopted by a great number of researchers is not suitable in Tsallis’ statistics, because its corollary is in contradiction with the zeroth law of thermodynamics.     

利用量子么正变换引起拓扑项的可移性求微扰项对Berry相因子的贡献

利用量子么正变换引起拓扑项的可移性，求出了一维无限深运动边界方势阱在压缩变换中出现的微扰项在一级近似下对Ｂｅｒｒｙ相因子的贡献。     

从《老人与海》析海明威的死亡意识

海明威传奇而富有冒险精神的一生,直接影响了他的写作,尤其影响了他对待死亡的态度.在海明威的许多作品里,有着对死亡的不断的理性思考.从最初的恐惧到后来的超然,海明威最终把死亡看作是一种美丽,一种平静.在他的杰作<老人与海>里,他把自己对死亡的意识赋予了一条大马林鱼.大马林鱼与老渔夫Santiago进行了几日的殊死搏斗后,仍逃脱不了死亡的命运.在和老渔夫的搏斗以及被鲨鱼的蚕食之后,大马林鱼只剩下了一副骨架,但海明威对它悲壮的死给予了高度的评价,因为他认为体现了生命价值和生命意义后的死,才是最美丽的死.     

恢复坎儿井输水系统功在当代利在千秋

文章简述了坎儿井输水系统的优缺点，及在干旱地区农业发展中的重要作用。要恢复、发展坎儿井输水系统，全面认识到坎儿井输水系统在新疆干旱区绿洲农业发展中的重要意义。     

Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions

In 1991, one of the authors showed the existence of quadratic transformations between the Painlevé VI equations with local monodromy differences (1/2, a, b, ±1/2) and (a, a, b, b). In the present paper we give concise forms of these transformations. They are related to the quadratic transformations obtained by Manin and Ramani–Grammaticos–Tamizhmani via Okamoto transformations. To avoid cumbersome expressions with differentiation, we use contiguous relations instead of the Okamoto transformations. The 1991 transformation is particularly important as it can be realized as a quadratic‐pull back transformation of isomonodromic Fuchsian equations. The new formulas are illustrated by derivation of explicit expressions for several complicated algebraic Painlevé VI functions. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

逆奇异值问题的相对广义牛顿法

本文用另一方法证明了非对称矩阵的奇异值是处处强半光滑的,并利用这一性质给出求解逆奇异值问题的相对广义牛顿法,该方法具有Q-二阶收敛速度.     

改编的好作品难得的好教材--叶露生钢琴曲《蓝花花的故事》探微

叶露生改编的钢琴曲<蓝花花的故事>成功地利用了原始民歌音调,采用变奏形式,运用钢琴语言,塑造了以蓝花花为主人公的多个形象,情感丰富,爱憎分明,是一部改编的好作品,难得的好教材.     

新时期学校德育工作的创新思考

在新的历史条件下,学校德育工作出现了许多新情况、新问题。德育工作要适应新形势,亟需在创新上下功夫。在青少年德育工作中,要创造性地开展工作,就要以人为本,强调学生是德育工作的主体。拓宽德育渠道,构建德育网络,形成学校德育工作的新格局,才能提高德育工作的科学性和实效性。     

两种群竞争模型的奇摄动群

本文应用多重尺度法构造出非线性微分方程组的解的渐近展开式。并用微分不等式的技巧，证明原问题的解的存在性，且给出解的一致有效渐近估计．     

锥体棱镜的加工

本文简单地叙述了锥体棱镜两种加工工艺。重点介绍直接成型法加工中对角度误差~1″的控制。并提出了角度超差零件返修时的光胶方法。