Some geometrical iteration methods for nonlinear equations

This paper describes geometrical essentials of some iteration methods （e.g. Newton iteration, secant line method, etc.） for solving nonlinear equations and advances some geometrical methods of iteration that are flexible and efficient.     

Some minimax theorems with strictly monotone transformation

Some two-function minimax theorems are proved. In these results, the staircase and quantitative-topological conditions of both functions involve strictly monotone transformation and mixing of functional values. Consequently, Lin Quan and Kindler＇s minimax theorems are generalized.     

Theoretical analysis on capillary adhesion of microsized plates with a substrate

The stiction of a thin plate induced by the capillary force has attracted much attention in the broad range of applications. A novel method is presented to calculate the capillary adhesion problem of the plate through analytical method. The expressions of the surface energy, the strain energy and the total potential energy of the plate-substrate system have been analyzed and delineated. By means of continuum mechanics and the principle of minimum potential energy, the governing equation of the plate with an arbitrary shape and the corresponding transversality boundary condition due to the moving bound have been derived. Then the critical adhesion radius of the circular plate has been solved according to the supplementary transversality condition. Thus the deflections of the plates are analytically calculated with different critical adhesion radii. The results may be beneficial to the engineering application and the micro/nanomeasurement.     

Unusual Fragmentation of Peptide and Protein in Matrix-assisted Laser Desorption/lonization Mass Spectrometry

Unusual amine - bond fragmentation on the peptide/protein backbone has been reported using matrix - assisted laser desorption/ionization time - of- flight mass spectrometry (MALDI - TOFMS)The amine - bond cleavage occurred without metastable decay, while the peptide - bond cleavage occurred with metastable decay of peptide ions in a drift region of TOF mass analyzer. It was presumed that the amine - bond cleavage occurred as a non - ergodic process independent of the ionization under MALDI conditions.     

由物理常数的组合引发的思考

物理学在不断发展的过程中，产生了众多 的物理常数．它们对于现代科学技术的各个方 面都有着非常重要的意义．本文拟就一些物理 常数的组合所给出的结果进行简单的讨论． 一　物理常数的类型 在众多的物理常数中，大部分都是有量纲 的．如普朗克常数ｈ，电子的质量ｍｅ等，其具体 数值取决于人们所采用的单位，同时，人们也可 以根据一些有量纲的常数去构造某些无量纲的 常数．这样的常数在不同的单位制中取值都相 同，如精细结构常数ａ，质子与电子的质量比 ｍｐ／ｍｅ等．另外，人们又将与具体的物质特性无 关的普适性常数称之为基本物理…