论文第四章重点介绍用非线性映射方法分析原核生物基因密码子使用情况并得到的相关结论。
In chapter IV, the codon usage preferences in prokaryotic organism are analyzed by nonlinear mapping method.
论文中重点介绍了该种方法的降维思想，以及用主成分分析方法、对应分析方法和非线性映射方法解决问题的步骤。
In this paper, the emphasis is placed on the technique for reducing the dimensions. The principal analysis, correspondence analysis and nonlinear mapping are described in detail.
本文利用连续同伦方法讨论非线性映射在有界区域内零点的存在性和零点数目，以及推广若干经典定理。
With homotopy methods, this paper discusses the existence and the number of zeroes of nonlinear mappings on bounded regions and extends some classical theorems.
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