Continuously differentiable

The function is continuously differentiable .

函数是连续可微分的。

The Integral Representation of Continuously Differentiable Function in Several Complex Variables and its Application

多复变数连续可微函数的积分表示及其应用

Continuously differentiable exact penalty function overcomes the above shortcomings , it has better properties .

连续可微精确罚函数就克服了上述缺点，因此具有更好地性质。

Exact penalty function is divided into nondifferentiable exact penalty function and continuously differentiable exact penalty function .

精确罚函数又分为不可微精确罚函数和连续可微精确罚函数。

According to the function is continuously differentiable or not , it is divided into smooth optimization or non-smooth optimization .

根据模型所有函数是否连续可微，可以分为光滑最优化和非光滑最优化。

The traditional bi-level model formulation of these problems is transformed into a single-level continuously differentiable problem using a marginal function approach .

并提出了一种基于路段变量的连续可导的边际函数和距离函数，从而把两层规划转化成单层规划问题。

The Existence Theorems of Continuously Differentiable and Homeo - morphic Solutions for Nonlinear Elliptic Systems of First Order

一阶非线性椭园型方程组连续可微同胚解的存在定理

Genetic algorithm uses probabilistic search technique , the objective function is not continuously differentiable demand . Applied to reactive power optimization problem has its distinctive advantages .

遗传算法采用概率搜索技术，对目标函数没有连续可导的要求，应用于无功优化问题求解具有其独特的优越性。

Particle swarm optimization algorithm has the advantages of fast calculation and strong scalability , whose structure is simple and independent of continuously differentiable constraints of objective functions .

微粒群算法结构简单不受目标函数连续可导等限制，计算速度快可扩展性强。

An exact integral expression of finite sum of sequence of a continuously differentiable function has been given , which can be used in approximate calculation with arbitrary accuracy .

对通项为连续可微函数的函数列，给出了其有限和的精确积分表示；可用于任意精度要求的近似计算。

The presence of an end-point constraint makes the value functions neither be continuously differentiable , nor be finite valued on the interior of its effective domain .

终端约束的出现使得最优控制问题的值函数不仅仅不是连续可微的，甚至是不连续的。

A numerical method is proposed for solving a sort of nonlinear continuous constrained minimax problem , in which the objective function and the constrained functions are both continuously differentiable .

研究了一类带约束连续型minimax问题的数值求解方法，其中目标函数和约束函数都是连续可微的。

The value function turns out to be continuous in the whole plane , and is even continuously differentiable in the interiors of both right and left half planes .

说明了值函数在整个平面上是连续的，在左右两个半平面的内部还是连续可微的。

For example , if we apply it to the double continuously differentiable function class and the continuous function class respectively , the results in [ 2 ] 、 [ 3 ] and [ 4 ] are derived .

将这种方法应用到不同的函数类上，就可得到各种不同的具体的迭代公式。例如，应用到二次连续可微函数类上，就包含了[2]，[3]的结果；

Approximately calculating definite integrals by midpoint-rectangular method , trapezoidal method and parabolic method are considered for the integrands which are twice continuously differentiable or twice piecewise continuously differentiable and the best estimations of errors are obtained .

在被积函数是二次连续可微或二次分段连续可微的条件下，考虑了定积分近似计算的中点矩形法、梯形法和抛物线法，并且得到误差的最佳估计。