| 1. | Green ' s formula of nonsmooth functions
非光滑函数的格林公式 |
| 2. | A note on finite determinacy of smooth function - germs with respect to right equivalence group
光滑函数芽关于右等价群有限决定的一个注记 |
| 3. | A new smoothing newton algorithm for sloving box constrained variational inequality is proposed by using chen - harker - kanzow - smale smoothing function
利用chen - harker - kanzow - smale光滑函数提出了一种解箱约束变分不等式的光滑牛顿法。 |
| 4. | This thesis is concerned with an initial - boundary value problem for strictly convex conservation laws whose weak entropy solution is in the piecewise smooth solution class consisting of finitely many discontinuities
本文讨论严格凸守恒律的初边值问题，其弱熵解在一类含有有限个间断的分片光滑函数中。 |
| 5. | When adding an entropy function as regularizing term to the lagrangian function , we obtain a smooth approximate function for m ( x ) , which turns out to be the exponential penalty function
当将熵函数作为正则项加到拉格朗日函数上，我们得到了逐点逼近于m ( x )的光滑函数。经证明，该函数即为指数罚函数。 |
| 6. | A new merit function ( potential function ) is constructed in chapter three , based on the balanced effect of the min - max problem . because of the non - smoothness , shannon entropy is used to smooth the merit function
鉴于该效益函数是非光滑的，不便于操作，使用前一章给出光滑函数做了光滑处理，而得到的光滑效益函数是一个凸函数。 |
| 7. | This method has the advantage that it has only to deal with a smooth function at any iteration and it never requires a procedure to decrease an approximate parameter . under suitable conditions , it ' s globally convergent
此算法在每一步迭代中只需处理一个光滑函数，不需考虑使近似参数下降的过程，当满足适当条件时算法是全局收敛的。 |
| 8. | In this paper , the necessary and sufficient conditions of the existence of nonnegative solutions for the two point boundary value problem ( the equation is abbreviated ) is established , where > 0 is a parameter and ? is a smooth function
摘要本文得到两点边值问题(方程式略)非负解存在的必要条件和充分条件，这里> 0是参数， ?是一个光滑函数。 |
| 9. | Then the perturbation methods are used to an equivalent nlp problem of minmax problems and the resulted smooth functions are just aggregate functions obtained by maximum entropy principle and minimum cross - entropy principle , respectively
然后文中把这种方法应用到有限维极大极小问题的一个等价非线性规划问题，得到了相应的光滑函数，且与用最大熵原则和最小叉熵原则得到的凝聚函数相同。 |
| 10. | Maximum entropy method is an effective smoothing one for the finite min - max problem , which , by adding shannon ' s informational entropy as a regularizing term to the lagrangian function of min - max problem , yields a smooth function that uniformly approaches the non - smooth max - valued function
极大熵方法是解有限极大极小问题的一种有效光滑化法，它通过在极大极小问题的拉格朗日函数上引进shannon信息熵作正则项，给出一致逼近极大值函数的光滑函数。 |
