The plane linkage was generalized to a root-face hybrid system that composes of a planar particle system and a planar rigid body system.

根据平面连杆机构的组成特点，将平面连杆机构抽象成由平面质点系和平面刚体系组成的一个有根平面混合系统。

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The article presents the global environmental problems human face currently, analyses their root and development situation, and points out that the environmental protection has been urgent.

列举了目前全球性环境面临的种种问题，较为详细分析了其形成的根源及发展趋势，指出对环境的保护已刻不容缓。

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In the spring a new disease broke out among the soldiers, with swelling of the hands, legs, and face, which the doctors attributed to eating this root.

春季里，士兵之中出现了一种疾病——手、足和脸浮肿，医生认为，食用这种甜根是发病的原因。

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These recommendations take root based on personal, face-to-face communication that establishes sellers as trusted sources.

FORBES: How Instant Mobile Commerce Will Disrupt The Way You Do Business

He started to fall again, caught himself, froze in a hunched-over position, hurtled forward, fell flat on his face, chucked his chin on a root.

NEWYORKER: Tenth of December