以下为句子列表：
英文: A class of exact solutions of the Dirac equation are obtained for an electron in the electromagnetic field of a wave guide formed by two pairs of hyperbolic cylinders.
中文: 摘要研究了位于由两对双曲柱面构成的波导管电磁场里的单电子的性质，得到了单电子在场中狄拉克方程的新一类精确解；计算了极化算符的本征函数。
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英文: A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes, the optimal error estimates are derived.
中文: 摘要在各向异性条件下，讨论了双曲型方程的一类非协调有限元逼近，给出了半离散格式下的最优误差佑计。
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英文: A continuous equation, three momentum equations are set up for each phase, and the algebraic equation with sum of volume rate amount to one is set up in this model.
中文: 该模型针对每一相都建立了一个连续性方程、三个动量方程，并建立了一个体积率和等于1的代数方程。
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英文: A force-method equation about unknown nodal forces of the composite beams is proposed based on the governing differential equation.
中文: 在粘结剪力和滑移微分控制方程的基础上，建立了关于组合梁单元杆端未知力的力法方程。
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英文: A Equation to Reckon Residual Life of HK0
中文: HK0材料剩余寿命预测的推算公式
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