The nonlinear system as linear system in form is composed of multiplicative control and additive control items in bilinear system using coordinate transformations.

使用坐标变换，将双线性系统中的倍增控制项和叠加控制项重新组合成与线性系统有相同形式的非线性系统。

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The subjects to be covered include groups, vector Spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

涵盖的主题包括群、向量空间、线性转换、对称群、双线性结构、线性群等。

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