提出了一种新的NCP函数，并将它应用于自由导数方法，达到了提高算法速度的目的。
The paper gives out a NCP-function; in the paper it is applied to derivative-free method, we can increase the speed of arithmetic.
因此，在教学中，要突出导数的应用。
Therefore, in the teaching, must highlight the derivative the application.
弹性又称为相对导数，它在商品经济活动中有着广泛的应用，诸如用价格调节需求等。
Elasticity, also called relative derivation, is extensively applied in the activity of commodity economy , such as adjusting the demand with price.
考察了除环上的l多项式的左因式、左根与左倍式的性质，给出了导数与左结矩阵的应用。
Left factors, left multiples and left roots of the polynomials over sfield are studed. Applications of derivative and left relative matrices are given.
通过实例说明了压力导数曲线准则的应用方法。
Actual example illustrates the applied method of pressure derivative curve rule.
首先提出了一种新的NCP函数，并将它应用于自由导数方法，达到了提高算法速度的目的。
First, a new NCP-function is used in the derivative-free method, and the result are seen better than before.
本文推导了网络函数及其导数的求值公式，应用这些公式可使网络分析及优化算法更有效。
Evaluating formulae of network functions and their derivatives are introduced in this paper. The algorithm of network analysis and optimization will be more efficient by using these formulae.
在模拟的紊流风场中，应用这一方法对平板和江阴长江大桥的节段模型进行了试验，识别了其气动导数。
A thin plate and the sectional model of the Jiangyin Bridge were tested in turbulent wind in a wind tunnel to extract their flutter derivatives.
科学计算及其应用常常需要多变量函数的有关偏导数问题的计算，通常使用的计算方法是符号微分或差分近似。
Evaluation relevant to the partial derivatives of the multivariable functions is often done in scientific computation, usually by means of the symbolic differentiation or the divided difference.
详细介绍了图论法、动态规划法、神经网络法、MCST法和约束导数法等在城市天然气管网规划中的应用。
The application of graph theory, dynamic programming, neural networks, MCST method, constrained derivatives, etc. to pipe network programming were recommended in details.
改进导数重构法的提出对混沌分析方法的实际应用有着重要意义。
The proposal improved derivative reconstruction method is significant to the practical application of the chaotic analysis method.
自动微分技术能以较低的成本精确计算中大规模问题函数的导数，在科学计算、工程计算及其应用领域中有着广泛的应用。
Automatic differentiation, by which the derivatives of the function can be evaluated both exactly and economically, is applied to the field of scientific and engineering computation extensively.
导数场边界积分方程通常难以应用，因为存在着超奇异主值积分的计算障碍。
The several different displacement derivative boundary integral equations (BIE) have been proposed in elasticity problem.
本文从定理出发，通过对典型例题的分析，给出了导数在证明不等式中的若干应用。
Starting from the theorems, this paper presents some applications of the derivative in proving inequalities through the analyses of typical examplinary problems.
在开放式地理信息系统中，OGCsld与ogcWMS的综合应用体现了OGC倡导数据内容与样式显示分离的思想。
In OpenGIS, the integrated application between OGC SLD and OGC WMS show the thought of style display separated from data content, which is advocated by OGC.
极值点和拐点是高阶导数应用中两个常见的概念。
The point of minima value and the point of inflexion are two common concepts of derivative.
对偏导数算法（PDA）和线性内插算法（LIA）两种改正数模型化方法进行探讨，并说明两种方法的优缺与应用范围。
Here we expound two approaches to GPS corrections model by Partial Derivative Algorithm(PDA) and Linear Interpolation Algorithm(LIA), then probe their advantages and disadvantages.
叙述了比值导数波谱法在电化学波谱解析中应用的原理。
The method of ratio-derivative spectra for polarography and voltammetry has been studied.
采用自由振荡法数值模拟了平头、钝头外形的超声速俯仰振荡时间历程，并应用奇异分解线性最小二乘法辨识稳定性导数，得到动导数随马赫数和攻角非线性变化的规律。
The dynamic derivatives conception is used as the index for the vehicle stability, but it is looked as the function of angle of attack and Mach number to induced nonlinear characteristics.
应用权分担值的思想，讨论了涉及亚纯函数及其导数具有两个公共值的惟一性问题。
The problem of uniqueness for meromorphic functions concerning differential polynomials sharing two values with some finite weighted was studied using the idea of weight-sharing value.
本文应用奇异摄动理论和方法研究了含有分数阶导数的两类奇异摄动问题。
In this paper, We use the singular perturbation theory and method to study the two types of singular perturbation problems with fractional derivative.
应用函数列的极限与函数的极限交换次序定理，研究了二元函数的二重极限与它的两个累次极限的关系定理，研究了二元函数的两个二阶混合偏导数可交换次序定理。
By using the limits of functions and the exchange limit theorem, we considered the relationship between the double limit of function with two variables and its repeated limits.
为使问题的解能实时、可靠地完成，将一种用于最短路径计算的双层递归神经网络应用于路由选择的流量导数法中。
To make the solution be implemented reliably in real time, a neural network for shortest path computation that is a two-layer recurrent structure is applied to flow deviation method.
导数在洛必达法则和泰勒公式中的应用等。
The derivative must reach in the principle and the Taylor formula application in the Luo river and so on.
通过对两个求导例题的分析，归纳出求函数在某些特殊点导数的新的解法定理及推论，并举例说明它们的应用，最后对此求导方法进行总结。
Through analyzing two examples of seeking derivative, new theorem and deduction for solution to some functions derivation under the special condition are concluded, and examples are shown.
此外，由于模型的动力方程具有二阶时间导数项，因而应用本文模型的结构—基础—土系统可以采用显式时间积分求解。
Moreover, due to the dynamic equations of LPMs with second-order derivative terms in time, the resulting structure-foundation-soil system can be solved by an explicit time-integration method.
海森矩阵被应用于牛顿法解决的大规模优化问题。混合偏导数和海森矩阵的对称性海森矩阵的混合偏导数是海森矩阵非主对角线上的元素。
Hessian matrices are used in large-scale optimization problems within Newton-type methods because they are the coefficient of the quadratic term of a local Taylor expansion of a function.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
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