Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
Discrete repair operator is presented on the basis of the theory of gradient to improve the performance of the algorithm in solving non-linear constraint.
基于梯度下降思想提出离散修复算子，提高算法对非线性约束的处理能力。
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