以下为句子列表：
英文: Based on the complex function theory, the stress field was achieved by affine transformation.
中文: 文中的应力场是借助于仿射变换的方法通过复变应力函数得到的。
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英文: By using two kinds of affine representations of Lie color algebras and the first cohomology group, we obtain some necessary or sufficient conditions to the problem whether there is any left color sysmmetric structure on a given Lie color algebra which gen
中文: 利用着色李超代数的两种仿射表示和1-上同调群，得出左着色对称结构存在的几个充分或必要条件，推广了文[2]的结论。
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英文: The paper shows that the revised depth is of affine invariant besides the properties owned by the original depth.
中文: 证明了新的数据深度在保持原深度其他性质的基础上，把原深度的正交不变性改进为仿射不变。
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英文: This paper discusses the stabilization problem of a class of nonlinear affine switched systems whose subsystems have relative degree 1.
中文: 摘要讨论当各子系统具有相同相关度1时非线性仿射切换系统的稳定化问题。
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英文: This paper payed attention to the properties of a collection of primitives in multiple views, and derived important properties for point-pattern matching under affine transformation, which based on the rank of a matrix of Fourier domain descriptor.
中文: 对平面区域或适当的变换区域中以不同视角观察时图像中的点集所具备的性质进行了研究，并得出了在仿射变换下点模式匹配所具备的重要性质，即基于不同视角下平面图形的傅立叶描绘矩阵，得到形状匹配的数学约束，并将其应用于多个视角下物体的形状识别。
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