以下为句子列表：
英文: By using the modified mapping method and the extended mapping method, we derive some new exact solutions of the higher order nonlinear schr?dinger equation, which are the linear combination of two different Jacobi elliptic functions.
中文: 摘要通过修正的映射方法和推广的映射方法，我们得到了高阶非线性薛定谔方程新的精确解，它们是两个不同的雅可比椭圆函数的线性组合。
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英文: In accordance with the maximization of operationable space of micro-nano manipulator, an analysis was carried out upon the Jacobi matrix of micro-nano manipulator.
中文: 依据微纳操作器的可操作空间最大化，对微纳操作器的推可比矩阵进行了分析。
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英文: The forward and inverse kinematics solutions of a 3-DOF parallel micro-nano manipulator were emphatically analyzed, and the Jacobi matrix of kinematics forward solution was derived.
中文: 重点分析了3-DOF并联微纳操作器的运动学正解和逆解，推导出了运动学正解的雅可比矩阵。
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