查询词典 quadratic function

Through Fourier analysis, the optimization object was converted to find the minimum of a nonlinear multi-variable function with multi-constraint. The advanced sequential quadratic programming method was employed to find the minimum.

通过Fourier分析，将优化目标转化为一个求带有约束的多元非线性函数的最小值问题，利用序列二次规划方法获得最佳系数。

In modeling heavy tails,we focus on multivariate t distributions and derive the moment generating function of the quadratic approximation.Then we use Fourier transform,Chebychev's Inequality and numerical technique inversion to approximate VaR value of portfolio,compared with Cornish-Fisher Expansions normal model and Delta-Normal model.

在推导出多个外汇期权的投资组合的二次近拟的矩母函数表达式基础上，本文使用傅里叶变换、切比雪夫不等式、数值转换计算求出投资组合的VaR的值，并和基于多元正态分布Cornish-Fisher模型以及基于Delta-正态模型计算所得的VaR值了进行比较。

The function mathematic models have been establashed to forecast the output, protein and lysine content of the three varieties--"Shannong No.7859","Jinmai No. 5418" and "Baiquan No .3039" and Three areas-- Huixiant Wuzhi and Ximyu.By the quadratic rototion regression, design experiments on the basis of "nonidentical varieties",'nonidentical areas, aud by the models' simulating on the computer, the practical programs of comprehensive agricultural measures of three varieties and th...

本文通过不同品种和不同地点的二次旋转回归试验，分别建立了陕农7859、冀麦5418和百泉3039三品种和辉县、武陟、修武三地点的产量、蛋白质和赖氨酸含量三个性状的二次旋转回归数学模型，并通过计算机模拟仿真，分别筛选出了三个品种和三个地点的小麦高产、优质综合农艺措施实施方案，从而为河南小麦的高产优质栽培提供了依据。

Based on the PNN, a quadratic form performance index function is presented which allows the optimal operating trajectory to be obtained.

基于此时间函数模型，通过产品质量性能指标优化计算，获得最佳的控制轨线，作为实际生产的设定曲线。

With the restriction of water demand and supply, the objective function optimal value was calculated by sequential quadratic programming.

以需水量和可供水量为约束条件，采用序列二次规划法求解函数最优值。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

In order to examine how the flight control system of penetration aircraft is affected by the variable wind field, based on a kind of nonlinear dyna〓 tem, a differential game solution of quadratic payoff function is developed, so the worst-case wind model containing nonlinear factors is constructed.

为了考察变化风场对突防飞机飞行控制的影响，推导了一类非线性动力学系统二次型性能指标下的微分对策解，得到一组含有非线性因素的最坏风模型。

Then, with the assumption that the consumption of an investor is the continuous or piecewise continuous function of time, the corresponding optimal investment decision and the effective frontier are derived by using the stochastic linear-quadratic control.

假设投资者的消费是时间的连续函数或者分段连续函数，应用线性二次随机控制的方法得到了这两种情形下的最优投资决策和有效前沿。

A new simplified three-dimensional piecewise continuous autonomous system (a modified model of unified chaotic system) was introduced by replacing a quadratic nonlinear term in a unified chaotic system with a piecewise linear signum function.

通过用分段线性符号函数替换统一混沌系统中部分二次项，得到一个新分段连续的自治系统(称为统一混沌系统修改模型)。

Therefore,a series studies of ice-pier vibration are performed from different aspects in this paper.The main work of this his thesis is summarized as follows:(1) Ice response spectra is proposed based on the idea of a seismic response spectra analysis of str .. uctures.Firstly,ice response spectra on the basis of power spectra density function is established;Secondly,based on the assumption of quadratic parabolic interpolation method,the nonlinear interpolation analysis method of ice response spectra is studied from both theoretical and practical points of view,and the successive computation formulas including ice displacement,velocity and acceleration response spectrum are deduced by Duhamel integral.Furthermore,to analyze the effectivity and applicability of the method, the real temporal curves of ice pressure are used to be studied.The results show that the presented method is more convenient and accurate to study the structural response induced by ice force,also it can be effectively applied in the design of ice resistance.

鉴于此，本文针对冰激桥墩结构振动问题从不同方面展开了一系列与之相关的研究，主要研究内容如下：(1)根据结构抗震反应分析思想提出了冰振反应谱，首先建立了基于功率谱密度函数的冰振反应谱；其次借鉴地震反应谱内插法的思想从理论和实际观点出发，假定在等距离微小时间间隔内冰荷载按二次抛物线规律变化，由Duhamel积分推导出冰振位移、速度以及加速度反应谱的一系列连锁公式，建立了基于非线性内插法的冰振反应谱，并利用实际冰压力时程曲线进行了冰振反应谱数值分析，为以后冰激结构振动的研究提供一种方便、简捷、精确的分析方法，也能够将其有效地应用到结构的抗冰计算中。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。