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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.     

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.     

关于2011年CUMCM-D题的一种解法与若干思考

本文系2011年全国大学生数学建模竞赛专科组高教社杯获得者针对本年度竞赛D题的一种解法与若干思考的阐述。首先系统介绍了对此题认识和解题思路,其次提供了一类基于启发式算法求解此问题的参考解法,最后对该问题提出了进一步研究的一个方向。