本文就二次可微函数类给出一类求大范围极值的区间迭代方法。
In this paper an interval iterative method is given for seeking the global maximum of a second order differentiable function.
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.
讨论了一类插值有理函数对可微函数的逼近，得到了相应的逼近阶。
The approximation of differentiable functions by a kind of interpolatory rational functions is discussed, and the corresponding order of approximation is obtained.
摘要把无穷可微函数类在角形闭区域上的唯一性结果推广到了多维情形。
The uniqueness theorem of generalized quasi-analyticity of the infinitely differentiable functions in some closed angular domain is extehded to the functions of several complex variables.
作为应用，证明了任意有界变差函数都与某可微函数在除过测度任意小的集合外重合。
It is also proved as application that any bounded variation function can be seen as a differentiable function beside a set of arbitrary small measure.
摘要本文将关于角形闭区域中无穷可微函数类的广义准解析性的结果推广到了多维情形。
In this paper, we extend the theorem on generalized quasi-analyticity of the infinitely differentiable functions in the closed angular domain to the functions of several complex variables.
本文在一维情形下对拟可微函数的星核进行了讨论，证明了拟微分星-有界等价子类的存在性；
In this paper, the star-kernel of a quasi-differentiable function in one-dimensional space is studied.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
当收入函数、成本函数为连续可微函数，边际收入等于边际成本，即边际利润等于零时，利润最大；但在离散情况下，上述结论不一定成立，并给出反例。
In this paper I get the profit be maximum, as the revenue function, cost function are continuous differential and the margin revenue equals margin cost, that marginal profit equals zero.
我们说一个函数是可微的，如果这些偏导数存在。
And, we say that a function is differentiable if these things exist.
因此大多数我们会遇到的函数都是可微的。
同已有的结果相比，我们不要求函数有界，可微或严格增加等条件。
In our results, we do not require activation functions to be bounded, differentiable or strictly increasing.
每个多项式都是可微的，而每个有理函数也是如此。
Every polynomial is differentiable, and so is every rational.
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.
给出了复形式的复变函数的共轭可微性充要条件的证明及其重要应用。
This article was to offer necessary and sufficient condition and application of conjugate differentiable complex function in complex system.
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.
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.
得到了特征函数、条件特征函数的一致可微性和条件特征函数的反演公式。
The uniform differentiability of characteristic function and conditional characteristic function and reversion formula of conditional eigenfunction are obtained in this paper.
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.
该方法对目标函数无连续、可微等要求，能较快地收敛到全局最优权系数。
Usually, the algorithm can quickly converge to the global optimum weight coefficients.
基于模糊数空间的一种新的序关系，给出了可微的凸模糊数值函数、拟凸模糊数值函数的刻划定理，并讨论了它们的关系。
Based on a new concept of ordering, the characterizations of differential convex fuzzy-valued function, quasi-convex fuzzy-valued function are given and their relation is discussed.
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.
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.
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.
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.
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.
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