Improving the efficiency of the evaluation of derivatives is an effective way to reduce the time for optimization , and is of significant help to real - time optimization 所以，求导问题是优化问题中一个非常重要的方面，值得过程系统优化的研究人员进行深入的分析。
In the proposed algorithm , the amplitude of control force is derived by comparing permitting energy with actual energy , and their direction is determined by energy derivative 该方法是通过比较容许能量与实际能量来确定结构控制力的大小，而其方向是通过对能量求导确定。
But its velocity of seeking solution is slow and its error is large , at the same time classic solution is difficultly obtained . sometimes some model functions " derivation does n ' t exist 但它存在求解速度慢、误差大、很难获得最优解，且有些模型函数存在无法求导等缺点。
In mad , the model of interest is partitioned into a series of modules , just as in ad the function of interest is divided into a sequence of elementary functions 定义了模块复杂度的概念来表征求导算法对模块求导所需的单元标量计算次数，并以此为依据来为模块选择最合适的求导算法。
In the method of seeking solution of model parameter , least square method is mainly adopted . after that seek model function ' s derivative and sequentially approach parameter classic solution 在以往的模型参数求解方法中，主要是用最小线性二乘法，然后对模型函数求导，从而逼近参数最优解。
Mmi does n ' t consider the spatial information , we introduce two other mi based methods : derivation of mi and high - order mi . mmi computes the overlap area of two images 由于最大互信息方法并没有充分地考虑图像的空间信息，本文研究了其它的基于互信息的方法：互信息求导法、高阶互信息法等。
By using the definition of equidiffrential , a sufficient condition of commutating order in connection with the limit and derivation of a sequence of diffrential function is obtained 摘要利用等度可导的概念代替较强的函数列的导函数是一致收敛的条件，得到了极限运算与求导运算可以交换的一个充分条件。
Genetic algorithm is used for numerical solution of varitional inequality . in this process operation of derivate is avoided and the solution is a global one . here the description of this algorithim and numerical examples also are given 将遗传算法用于求解变分不等式的数值方法，避免了求解过程的求导运算，且为全局最优解，并给出了算法描述及数值例子。
Alter calculating the residual loads with the latest 15 - day forecasting results and actual values , the weather factor can be taken account to improve the forecasting precision by regression analysis between the sensitive residual loads and temperature 若将最近15天左右预测值与实际负荷值之间的差值，再通过各敏感点负荷与平均气温等作回归分析，可以实现考虑天气的负荷求导法。
It is reported in this paper that by using the absorption spectrum of the interfering component as the denominator factor , the first derivative ratio spectra of the component mixture can be obtained , and the inter ference of one of the components can thus be eliminated 利用混合物的波谱除以干扰组分的波谱得比值波谱，对波长求导得比值导数波谱，由此可消除干扰组分的吸光度叠加效应。
