Firstly, the differential equations for describing the energy equilibrium of growing deformable body and the entropy inequality were discussed briefly.
首先列出了描述生长变形体能量平衡的微分方程以及熵不等式；
From these new fundamental laws all equilibrium equations of thermostatic and all balance equations of thermodynamics as well as the entropy inequality and the entropy rate are naturally derived.
由它们可以自然地和同时推导出热静力学的所有平衡方程和熵不等式及热动力学所有均衡方程和熵率不等式。
Then that the total entropy criterion and the inequality of Chausius were all the same in essence was indicated.
然后阐述了总熵判据和克劳修斯不等式在本质上并无不同之处，都可以用于判别过程的可逆性；
Then that the total entropy criterion and the inequality of Chausius were all the same in essence was indicated. Both of them may be used to judge the reversibility of the processes.
然后阐述了总熵判据和克劳修斯不等式在本质上并无不同之处，都可以用于判别过程的可逆性；
Then, using the inequality of information theory, the paper directly proved that the minimum cross-entropy solution is exactly the dual geometric programming solution.
同时利用信息论中的不等式，直接地证明最小交互熵解就是对偶几何规划解；
The KKT conditions of a nonlinear programming with linear inequality constrains can be transformed into a system of equations by NCP function. Then it is smoothed by Entropy smoothing function.
带不等式约束的非线性规划，其KKT条件可以通过NCP函数转化为一个非光滑的方程组，然后用熵光滑化函数光滑化，得到一个带参数的方程组。
The KKT conditions of a nonlinear programming with linear inequality constrains can be transformed into a system of equations by NCP function. Then it is smoothed by Entropy smoothing function.
带不等式约束的非线性规划，其KKT条件可以通过NCP函数转化为一个非光滑的方程组，然后用熵光滑化函数光滑化，得到一个带参数的方程组。
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