以下为句子列表：
英文: In the paper, a special class of quasidifferentiable functions-subsuper differentiable functions is introduced, which satisfies the conditions of the existence of high dimensional kernels, and the formula of kernels is deduced.
中文: 摘要引入了一个特殊的拟可微函数类一次超可微函数，证明了其满足具有高维核的条件，并且推导出了高维核的计算公式。
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英文: The topics covered in this course include: unconstrained optimization methods, constrained optimization methods, convex analysis, Lagrangian relaxation, nondifferentiable optimization, and applications in integer programming.
中文: 这门课程的主题包括：无限制最适化方法，限制最适化方法，凸分析，拉格朗日松弛法，不可微分函数最适化，以及在整数规划上的应用。
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英文: The unknown displacement field is approximated by discontinuous, piecewisely differentiable functions.
中文: 用间断分片可微的函数来近似未知位移场。
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