该算法基于一个近似于光滑函数族的精确的罚函数。
The algorithm is based upon an exact penalty function that is approximated by a family of smooth functions.
利用UV-分解理论，将半光滑函数应用到UV-分解中。
The semismooth function is applied to UV-decomposition by using finite convex functions UV-decomposition.
本文讨论的三角形内插线曲线光滑函数属于插值样条型的曲线光滑方法。
Smoothing curve method of plugging line inside triangle in the article is one of the plugging dots spline curve methods.
利用富比尼定理建立了非光滑函数的格林公式、高斯公式和斯托克斯公式。
In this paper, we establish Green's formula, Gauss's formula and stokes's formula of nonsmooth functions with the help of the Fubini Theorem.
本文所研究的光滑函数都有严密的数学推导，以及对正号函数逼近性能的详尽理论证明。
For each smooth function in this paper, the theoretical basis, the detailed derivation process and performance are described.
还给出了新光滑函数的逼近性能和精度分析以及新模型的收敛性证明和最优解的逼近上限。
Performances of approaching and approximate error were given for the new smooth function, as well as the study of convergence and the approximation limit of optimum for the new model.
给出了关于右等价群有限决定的光滑函数芽在函数芽运算下仍保持有限决定的一些充分条件。
In this paper are given some of sufficient conditions for finite determinacy relative to right equivalent group of smooth function-germs to be preserved under the operation of function germs.
基于光滑的分段多项式函数和插值思想推导出一个新的光滑函数，从而可以更好地逼近正号函数。
We got a new smooth function for approximating the plus function by interpolation base on smooth piecewise polynomial functions.
以光滑函数的一阶导数作为小波母函数 ，研究了管道泄漏特征信号拐点区间的敏感性 ，突出小波变换系数的局部极值性。
The differential coefficient of smooth function was taken as a mother wavelet for researching the sensitivity segment of inflexion of pipeline leakage signal.
本文对光滑函数芽在右等价群的各种子群下的有限决定性展开了研究，对光滑函数芽在函数芽运算下关于右等价群的有限决定性也进行了讨论。
In this paper, we carry out a research into the special case, that is the finite determinacy of smooth function germs under various subgroups of right equivalent group.
介绍了几种较为成熟的混凝土损伤模型，在传统非局部损伤模型的基础之上引入了光滑权函数构造了一种新型的非局部损伤模型。
This paper introduces several kind of the damage model of concrete and presents a new kind of non-local damage model by adding the smooth weight function on the classical non-local damage model.
本文对非降或非增单值函数光滑曲线的绘制方法进行了改进，从而合理地绘制出毛管压力曲线。
In the paper, the technique of drawing a smooth curve of non-reduced or non-increased single-valued function is improved so that the capillary pressure curve can be drawn rationally.
提出了“利用反双曲正弦函数变换提高数据列光滑程度”的新结论，获得了递增时间序列改善的自回归预测新方法。
A new conclusion is put forward, in which the smooth degree of the data row can be enhanced by means of the arc-hyperbolic sine function transformation.
在分析了四元数函数与角速度的关系后，提出了角速度光滑插值的方法，并能计算出任一时间角速度的值。
After analyzing the relation between a quaternion function and the angular velocity it represents, a smooth angular velocity interpolation algorithm is proposed.
衍生工具的存在并不总是假定和方法，制定了许多具体的情况。基本类的方法的基础上，光滑的目标函数，如下。
The existence of derivatives is not always assumed and many methods were devised for specific situations. The basic classes of methods, based on smoothness of the objective function, are.
本文论证了非负光滑离散函数累加生成后具有近似的指数规律，即灰指数律。
It is shown that the grey exponential law can be obtained by means of accumulative generation for non-negative smooth discrete function.
前置滤波器使带有符号函数的控制切换产生连续可测信号，实际控制律是光滑的。
The proposed stable feedforward filter makes the control switching with sign functions to produce a continuous and measurable signal so that the actual control law is smooth.
提出求解具有非光滑燃料费用函数的存在爬坡率限制的最优潮流方法。
This paper presents the solution of optimal power flow (OPF) problem of generator units with ramp rate limits and non-smooth fuel cost functions.
上证综合指数是股票市场的一个重要指标，我们采用样条函数，将带光滑参数的最小二乘法应用于拟合该指标的历年数据。
Shanghai Composite Index is an important index for Chinese stock market, and we apply the Least Squares Method with roughness penalty to smooth its historical data, using spline functions.
本文就非闭光滑曲线上关于第二类边界条件的复三次样条函数的逼近误差进行了论讨，取得了较好的结果。
In this paper, we discussed the approximation errors of complex cubic interpolation spline on open smooth curves under the second boundary condition and got the better results.
针对这一优化问题，通过引入非线性互补问题函数，将原优化问题转化为非线性方程组，并采用半光滑牛顿法进行求解。
By introducing nonlinear complementarity problem function, the original optimization problem is transferred equivalently to a set of nonlinear equations and solved by semi-smooth Newton method.
这个差异可能由分段光滑映象函数的非线性造成。
And this difference may be induced by the nonlinear function of piecewise-smooth map.
它采用光滑活化函数(又称激活函数)，具有一个或多个隐层，相邻两层之间通过权值全连接。
It USES the smooth activate function (also called activate function) and has one or more latent layers, with the neighboring layers fully connected by a weighting value.
为了克服这一困难，论文基于光滑化函数理论，建立了光滑化的AT C新模型。
To overcome it, based on the theory of smooth function, a new smooth ATC model is presented in this dissertation.
用一种统一的框架描述函数的光滑性态是函数空间研究的趋势。
It's a trend to use an unified frame to describe smooth properties of functions.
给出了填充函数的区间扩张，并提出了求解该非光滑优化问题的区间填充函数算法。
It gives an interval enclosure for filled function and presents an interval filled function algorithm to solve this nonsmooth optimization.
基于光滑化函数理论，建立了光滑化的可用传输容量(atc)新模型。
A new smooth available transfer capability (ATC) model is constructed based on smooth function transformation.
基于多项式样条全局光滑方法，建立函数系数线性自回归模型中系数函数的样条估计。
A global smoothing method based on polynomial splines is used to estimate the coefficient functions in functional-coefficient linear autoregressive models.
基于多项式样条全局光滑方法，建立函数系数线性自回归模型中系数函数的样条估计。
A global smoothing method based on polynomial splines is used to estimate the coefficient functions in functional-coefficient linear autoregressive models.
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