讨论了一类多目标优化问题的区间斜率方法，其中目标函数是一阶连续可微的。
This paper describes the interval slope methods for a class of multiobjective optimization problems, of which the objective functions are in C1.
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。
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.
采用引进具有二阶连续可微的辅助函数，将非线性不等式组转化为非线性方程组，然后利用牛顿迭代法对非线性方程组进行求解。
In is established the equivalence between the nonlinear inequalities with nonlinear equations by using auxiliary function, a descended Newton algorithm is proposed.
也就是，向量场是连续的，且在曲面s上处处可微。
That means you need your vector field to be continuous and differentiable everywhere on the surface s.
对此，阐明了一些有效的建议，并给出了无处可微连续函数的图示结果。
Some Suggestions for executing this method are presented, graphical results of nowhere differentiable continuous function are shown.
本文引进了连续可微和均匀连续可微两个新的可微性概念。
Two new notions of continuous differentiability and uniformly continuous differentiability are introduced in this paper.
最终讲明白连续性和可微性之间的区别的例子是由他给出的。
The example that ultimately drove home the distinction between continuity and differentiability was given by him.
探讨二元函数的连续性、偏导数、方向导数以及可微性之间的关系，有助于我们对二元函数的学习。
A discussion of the relations between continuity, partial derivative, directional derivative and differentiability of binary function is helpful for us to study binary function.
实例分析表明，该方法简便、通用，具有较高拟合精度，是非线性、不连续可微模型参数估计的方法。
The actual practice shows that this new method is convenient, universal and precise. It is an excellent method for estimating parameters of non-linear, uncontinuous or undifferential model.
本文完全用初等的方法证明了完全集上连续可微函数都有可微开拓。
By very elementary method, it is proved that every continuous differentiable function defined in a perfect set has differentiable extension.
证明了该过程的局部时的存在性、联合连续性和可微性。
The existence, joint continuity and differential of local times of this process are shown.
作为应用，我们证明了这两个新的可微性概念分别给出了导映象的连续性和均匀连续性的特征刻划。
As to their applications, the continuity and uniformly continuity of derivative mapping are characterized by the two new notions of differentiability.
给出了有关凸泛函的两个命题，并由此对凸下半连续泛函的下控定理、次可微定理的条件、结论及证法进行了探讨。
As to their applications, some results about the low control theorem of the convex lower semi-continuous function and the subdifferentiable function theorem are obtained.
多元函数的连续性，偏导数，方向导数及可微性之间的关系。
The Relation between the Continuity, the Partial Derivatives, the Directional Derivatives and the Differentiability of a Function.
而遗传算法不需要待优化函数具有连续可微性，并具有很强的通用性和隐含并行性。
While the GA does not require that the optimized functions possess continuum differentiability, GA is proposed to optimize the parameters of fuzzy controller.
遗传算法直接对结构对象进行操作，不存在函数可微性和连续性的限定，具有全局性，鲁棒性和隐并行性等优越性。
To solve problem, GA deals with structural object directly without any requirements of differentiability and continuation of function; it's global, robust and parallel in working mode.
本文在严格单调的前提下 ，讨论了积分中值函数的严格单调性、连续性和可微性 ，得到了具有一般性的结论。
In this paper, under the condition of strictly monotone, discusses strictly monotone , continuity and derivatiability of integral mean value function, and the general results are obtained.
本文在严格单调的前提下 ，讨论了积分中值函数的严格单调性、连续性和可微性 ，得到了具有一般性的结论。
In this paper, under the condition of strictly monotone, discusses strictly monotone , continuity and derivatiability of integral mean value function, and the general results are obtained.
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