查询词典 piecewise linear function

This method uses the strong non-linear mapping ability which the RBF network has and its short-time training merit to construct the network, substitutes the non-analytic function, make it to instate of the optimized question of the objective function, and iterates this objective function with the genetic algorithm to search the optimal solution.

该方法利用RBF网络所具有的非线性映射能力强，训练时间短的优点，构建网络，替代非解析函数，使之作为优化问题的目标函数，并用遗传算法搜索迭代出该目标函数的最优解。

Thirdly, the problems of institution investor'optimal liquidation strategy and optimal liquidation time were investigated with the conditions that the price of risky asset followed arithmetic Brown motion and liquidation velocity was limited. The problems involved the following scenes: price impact function was linear expression of liquidation velocity which was boundary closed set with an isolated point; price impact function was stochastic; price impact function was nonlinear.

接着，当风险资产的价格服从算术布朗运动，且对投资者的变现速度做出限制时，研究机构投资者的最优变现策略和最优变现时间问题，其中包括：价格冲击函数为变现速度的线性函数，变现速度是一带有孤立点的有界闭集；价格冲击是随机形式；价格冲击是变现速度的非线性函数。

The objective function of the QP problem is a quadratic function which is an approximation of the Lagrangian function of the constrained problem and the constraints of the QP problem are linear approximation of the constraints of the constrained problem.

这些二次规划子问题的目标函数是原约束最优化问题的Lagrange函数的某种二次近似，其约束条件是原约束条件的线性逼近。

In chapter 3 constructs firstlya new differential merit function by a perturbation structure of VIP and study theproperties of this merit function.Based on this merit function,a continuation-typeNewton method is proposed,which use the technique of inexact linear search forassuring its global convergence,and improves essentially the method of Taji,Fukushima and Ibaraki which can only solve the strong monotone VIP,and has locallyquadratic convergent rate under some condition.

第三章利用变分不等式问题的一种扰动结构构造了新的可微效用函数，并研究了效用函数的性质；在此基础上，给出了一类求解一般单调变分不等式问题的连续型Newton方法CN，方法采用了不精确的线性搜索技术以确保整体收敛性，从本质上改进了Taji、Fukushima和Ibaraki方法只能求解强单调变分不等式问题的局限性，同时又保持了局部二次收敛率。

On the basic of academic function,using the"beeline substitute curve"theory,designed a kind of new probability density function: simplified linear normal distribution function.

在理论分析的基础上，应用"以直代曲"的思想，设计出一种新的简化正态分布函数。

In the special case of GLM—normal linear model with classical link function,we compare our methods with existing ones and our methods perform more excellently.Finally,sequential detection of structural changes is studied in nonparametric regression models o Based on Nadaraya-Watson estimator of regression function,we calculate the residual series and construct "residual cumulative sum process" with weight values of kernel estimator of "long-run average density function".

在随机模拟一节中，给出了布朗桥的h-增量过程的"Max-Max"泛函统计量的经验分位数表，并在随机模拟中验证了文中所提"部分和"与"滑动和"方法的有效性，同时在广义线性模型取"典则连接函数"时的特例—正态线性模型场合，与已有方法进行了对比，结果显示文中所提方法表现更优。

First, for a given integer value of the objective function, the lower and upper bounds of the variables were determined by the optimum simplex tableau of the linear programming relaxation problem. Then the conditions on the bounds were added to the constraints as cuts to the associated objective function hyperplane. Finally, a branch procedure of the branch-and-bound algorithm was applied to finding a feasible solution on the objective function hyperplane.

对于给定的目标函数整数值，首先利用线性规划松弛问题的最优单纯形表确定变量的上、下界，然后将变量的上、下界条件加入约束条件中对相应的目标函数超平面进行切割，最后应用分支定界算法中的分支方法来搜寻目标函数超平面上的可行解。

With this method, we had several important differences compared to the YDmodel. First, the ratio of daily increment of PDT and the deficit of both water and nitrogen was used to estimate the effect of environment. Second, a nonlinear function was adopted to describe vernalization and thermal effectiveness (instead of three-stage linear function). Third, sinusoidal function was used to describe photoperiod curve cluster for different cultivars.

本模型在YDmodel基础上的改进主要有3点：（1）将每日生理发育时间的增量乘以水肥丰缺因子，改为除以水肥丰缺因子表现水肥对大麦发育的影响，客观体现了大麦在水肥丰缺条件下的发育延迟或提早现象；（2）将三段线性函数改为非线性函数表达春化效应和相对热效应，确立了不同品种相对春化效应和相对热效应的曲线族；（3）将线性函数改为正弦函数表达不同品种光周期效应。

The nature of the acceleration unit-impulse response function of unbounded medium tending to vary linearly is proved by means of asymptotic analysis. Thus, the acceleration unit-impulse response function can be regarded as the summation of a linear function and a residual part which converges to zero. Based on this decomposition, two FE-SBFE coupling procedures are presented based on system realization and truncation integral technique respectively.

本文系统研究了相互作用力-运动关系的位移表达、速度表达和加速度表达，通过比较位移、速度和加速度单位脉冲响应函数的SBFE求解过程，确定采用相互作用力的加速度表达；通过渐近分析证明了无限地基加速度单位脉冲响应函数具有随时间延长而趋于线性变化的性质；利用这一性质将加速度单位脉冲响应函数分解为一个线性函数和一个衰减到零的残余函数的和，以此为起点发展出两种FE-SBFE时域耦合方法：基于系统实现的FE-SBFE时域耦合方法和基于截断卷积的FE-SBFE时域耦合方法。

The polynomial function bases are used to form the approximately matching function. Moreover, the discrete values of grey image is transformed to polinomial function that are exact fit at the considered pixel locations. As a result, The mathematical operations performed such as derivation, integration, and gradient evaluation also give out the polynomial functions, therefore, the system of undetermined coefficient equations is derived to be a system of linear algebraic equations.

我们把立体匹配过程看作泛函的极小化过程，因此选用变分问题近似解法的Ritz法构造数值算法，以多项式函数为基构作匹配函数的近似解，进而又利用多项式过样值点的拟合将离散的灰度图象变换为多项式函数，因此计算中所需的求导，积分，及梯度运算的结果仍然是多项式函数，最终将待定系数方程组化为线性代数方程组。

My father is over 60 years old, and he lifts weights every day.

我爸爸六十多岁了，他每天都练习举重。

Then in a serious tone she declared:"It doesn't pay, dear boy, to look like a ninny with one's wife the first night."

两眼湿润了，她把身子蜷得很小，这样似乎可以更好地闻闻自己。