才思横溢 触处生春——东坡“以才学为诗”析论

苏轼学问繁富，诗中用典丰缛，千变万化，善于熔铸，做到“神仙点瓦砾为黄金。”大体有用事与用辞两端。用事类可别为七种方式：隐含式、缩写式、翻案式、抽取关键语句式、翻用式、暗用式、直用式等。用辞的变化，则可归纳为10种情况：改字、增减、重组、摘用、倒用、反用、暗用、套用、引用、缩用等。     

现代性的批判与现代性的建构——杜威与胡适现代性思想比较

杜威站在经验自然主义的立场上。对于现代性是持批判的反思态度；胡适站在实验主义方法的立场上，对现代性持赞成的态度。在现代性思想的建构上，胡适背离杜威的立场，误读了杜威的现代性思想。     

Ion acoustic solitary waves in density and temperature gradients

The propagation of ion-acoustic K-dV solitary waves in weakly inhomogeneous, collisionless plasmas with gradients both in the density and the temperature of the ions has been considered. The electrons are assumed to be hot and isothermal, and the ions to be warm and adiabatic. The reductive perturbation analysis of the fluid equations is then carried out. The zero order quantities existing in the system due to the presence of the inhomogeneities are taken into account consistently and a set of ‘stretched coordinates’ appropriate for the inhomogeneous system is employed. A more general modified K-dV equation has been derived and its soliton solution is obtained explicitly. It is shown that as the soliton propagates along the temperature gradient, its amplitude and the velocity decrease, and the width increases. Further, it is found that when the two gradients are in opposite directions, the amplitude of the soliton remains constant.     

Korteweg — de Vries solitons with different co-ordinate stretchings

The differences between the soliton solutions of the K-dV equation for a homogeneous, collisionless plasma, consisting of cold ions and isothermal electrons arising due to the two different sets of stretched co-ordinates have been discussed. In particular, the differences between the amplitudes and the widths of the solitons and their variations with the soliton velocity have been indicated. Further, the experimental implications of these differences and also of the two sets of stretched co-ordinates have been discussed.     

Exact Explicit Peakon and Periodic Cusp Wave Solutions for Several Nonlinear Wave Equations

Using the method of dynamical systems for six nonlinear wave equations, the exact explicit parametric representations of the solitary cusp wave solutions and the periodic cusp wave solutions are given. These parametric representations follow that when travelling systems corresponding to these nonlinear wave equations has a singular straight line, under some parameter conditions, nonanalytic travelling wave solutions must appear. Dedicated to Professor Zhifen Zhang on the occasion of her 80th birthday     

论胡适诗歌主张与诗作

胡适于 1918年发表了白话新诗 ,开创了新诗的革命 ,他的《尝试集》 ,清晰划出了旧诗与新诗的界限 ,为中国新诗的发展 ,提供了弥足珍贵的经验与教训。胡适新诗的首创之功 ,受到新文学倡导者和拥护者的充分肯定。     

胡适对中医究竟持什么态度

胡适是20世纪初中国新文化运动的领袖和思想家,但是,80年代后期以来,我国出版的有关他的生平的著作中,根据胡适所作的“题陆仲安秋室研经图”,认为中医陆仲安早年治愈过他的“糖尿病、慢性肾炎和心脏病”,因而断言胡适相信中医药。仔细检阅胡适的日记、书信和文章,可以得出完全不同的结论。尽管1920—1921年胡适生的那场病,开始时有医生怀疑可能是心脏病或肾炎,但很快就否定了。胡适虽然死于心肌梗塞,但他第一次冠心病发作是1938年底。实际上,中医陆仲安为他治疗的只不过是胡适所说的“小病”,是自限性的,而且胡适一再申明他根本不曾生过糖尿病和慢性肾炎。上述陆仲安治愈胡适糖尿病等疾病的说法纯属以讹传讹,或有意夸张造谣,这件事在中医界至今仍有影响。胡适自称是“信仰西医的人”,并且支持他的友人批评中医,这些批评在今天仍然具有重要的现实意义。     

浅谈“五四”之“反传统”

五四文学产生的文学意义，不仅局限在对新文学新思想的倡导，更是打破了古代文学与近现代文学间对话的隔膜，搭建了西方文学与中国文学间的沟通桥梁，实现了文学自身现代意义的转型。     

On the preservation of invariants in the simulation of solitary waves in some nonlinear dispersive equations

In this paper we generalize some results in the literature concerning the structure of numerical approximations to solitary wave solutions of some nonlinear, dispersive equations is studied. We prove that those time discretizations with the property of preserving, exactly or approximately up to certain order, some invariants of the problems, have a better propagation of the error and provide a more suitable simulation of the solitary waves. The generalization involves the treatment of nonlocal operators and two different kinds of equations.     

胸中山水奇天下，删去临摹手一双--石涛与汪野亭山水画比较

以汪野亭的山水瓷画为对象，结合石涛的绘画作品及绘画理论，从汪野亭山水瓷画的构图、造型、笔墨三方面入手，探求石涛的山水创作对汪野亭的山水瓷画的影响，尤其是汪野亭作品中坚持石涛“搜尽奇峰打草稿”的创作理念和坚守“我为我法”的艺术追求。