| 1. | Not all continuous functions are differentiable .
不是所有的连续函数都是可微的。 |
| 2. | A sufficiency improvement differentials about the function of many variables
关于多元函数可微的充分条件的一点改进 |
| 3. | The unknown displacement field is approximated by discontinuous , piecewisely differentiable functions
用间断分片可微的函数来近似未知位移场。 |
| 4. | In chapter 4 , a new algorithm for the solution of nonlinear complementarity problems is developed
第四章对求解互补问题的可微的无约束优化法作了研究。 |
| 5. | We use b - spline smoothing technique to smooth the characteristic function without changing the integral quantity and get a differentiable weight function . the method considerably improves the quality of sampling points
我们用b样条磨光技术在不改变积分值的前提下磨光特征函数，用可微的权重函数代替特征函数，提高了采样的质量。 |
| 6. | In unconstrained optimization , we deal with the standard problem of finding the minimum of a function f : rn - r . if we assume that the function is twice continuously differentiable , many methods can be applied to find the minimum
在无约束最优化中，考虑寻找f ： r ~ n r的极小点。假设f是二次连续可微的，可以有许多方法寻找它的极小点。 |
| 7. | Using conception of relative rate of change , a definition of probability density function is given based on the class of differentiable monotone function which is bounded on domain of definition , calculation and properties of the mathematical expectation are discussed
摘要对一类单调可微的有界函数，利用相对变化率的概念，定义了一种由该函数生成的概率密度函数。 |
| 8. | To alleviate this difficulty , we developed a hybrid approach that combines ga with simplex method in function optimization . in the same way , the hybrid simplex - genetic method is applied to solve the continuous minimax optimization
力学优化算法解决了增广ragange法的子优化命题，最后给出了一种新的增广lagrangc乘子算法，它可有效地解决目标和约束条件函数可微的单目标优化命题。 |
| 9. | A distinction of it is that the derivative condition is loosed . especially , we discuss the patch perturbations for a system that the function is only g - differentiable but not f - differentiable . this lays a foundation of discussing the optimal control problems for weak - smooth system
特别是首次对一类g -可微、但不为f -可微的系统的讨论，为下一章研究弱光滑系统最优控制的最大值原理奠定了基础。 |
| 10. | In order to achieve a computer code with a maximum degree of vectorization , the numerical flux function must be written uniformly with sign function . to get higher order accuracy , the muscl interpolation functions are applied for van leer and roe schemes
Vanleer和roe格式摘要( abstraet )均采用muscl插值使格式具有高阶精度，并采用连续可微的vanalbada通量限制器，使格式具有良好的稳定性和收敛特性。 |
