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1·The solving multi-phase decision includes defining, decision-making, state variable, ensuring state transfer equation, solving index function and target optimal function.

其求解多阶段决策过程包括：定义阶段、决策及状态变量，确定状态转移方程，求解指标函数及目标最优值函数。

2·Defining a state-space vector, the decoupled equation may be cast into the governing differential equation, of the statespace form.

通过定义状态变量，得到了壳体动力学问题的状态空间控制微分方程。

3·Through defining slide yield function and floating potential function of thermo-contact surface, the complementary equation of thermo-contact boundary was got.

通过定义接触面滑动屈服函数和流动势函数，得出了热接触边界的互补方程。

4·After defining a logarithm damage variable and effective stress, we introduce a damage evolution equation at crack tip bytaking into account the physical mechanism of the development ofcavities.

本文在定义对数损伤变量和相应的有效应力之后，引入了一种考虑材料内部空穴演变的裂尖损伤演变方程。

5·By defining four dimensional 'deformation event', the spring's equation about deformation and elasticity becomes perfect covariant 4-vector one.

在严格定义四维“形变事件”后，弹簧的形变—弹力方程被表达成完全协变的四维矢量方程。