以下为句子列表：
英文: Abstract: In this paper，a ray-optics analysis is performed to investigate the asymmetry of dual beam scanning field produced by a rotating polygon.Some basic equations of dual beam scan are derived，such as，the position vector for the incident point，the sc
中文: 文摘:应用几何光学理论研究了多光束转镜扫描场的非对称性，导出多光束扫描入射点位置矢量、反射线标量表达式、观察面上的扫描轨迹方程，并研究了扫描远场的非对称性。
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英文: Prokaryotic branch of the Tree of Life: A composition vector approach
中文: 生命之树的原核枝——组分矢量方法的贡献(英文)
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