二次函数

Say from the angle of mathematics, This software mainly plays to show the integral calculus of Bernhard Riema , together two heavy integral calculuses of a function.

从数学的角度说，本软件主要将演示黎曼积分、齐次函数的二重积分。

For linear complementarity problems , a new smooth merit function is constructed, the linearity of LCP is well preserved as the piecewise quadratic convex property of it. By using the merit function a new Lagrangian multiplier method is proposed.

对线性互补问题，首次得到一种乘子固定时具有分片二次凸性质的光滑价值函数，它在光滑条件下完好保持了原问题的线性性质，基此提出了Lagrange乘子法。

An optimization method is proposed to solved steady-state optimization problems by quadratic approximation of the object function and the Linear Matrix Inequalities Problem and Eigenvalue Problem of Linear Matrix Inequalities theory.

提出了将稳态优化问题的目标函数进行二次逼近及用可行性问题求解算法和特征值问题求解算法进行求解的优化方法。

By transforming the interlace series type linear differential equation with coefficients containing negative second order power function and arrangement number into the linear differential equation of successive integral,the theory and method for the general solution of this kind of equation are determined.

通过把系数含有负二次幂函数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程，找出了求这类方程通解的方法与理论，所得定理给出了严格的证明，并通过实例介绍了它的应用

To reduce the conservatism in the estimation, the Schur complements of the matrixes are applied to transform the problem of selecting a suitable quadratic Lyapunov function into a simple convex optimization problem with linear matrix inequality constraints.

同时为了减少保守性，利用矩阵的Schur补性质，将如何选取该二次型Lyapunov函数的问题转化为标准的LMI凸优化问题。

Under quadratic loss function, we study the minimax admissibility of the estimate function and the linear prediction.

本文则在二次损失下研究了一般Gauss-Markov模型的可估函数与线性预测的Minimax可容许性。

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。

This invention relates to MIMO test method in a multi-user MIMO radio communication system including: estimating the channel matrixes of all users at the base station, computing an orthogonal projecting matrix M of the interference matrix of each user and transmitting M to each user periodically, receiving data sent by the base station at the user end and getting the orthogonal projecting matrix M from the received data, transforming the MIMO test of a desired user to the minimum value of a K-element secondary convex function, in which, K expresses the number of sending antennas and getting estimation of the test data by a ball test method.

一种多用户多输入多输出无线通信系统中的MIMO检测方法，包括步骤：在基站估计所有用户的信道矩阵；计算每个用户的干扰用户矩阵的正交投影矩阵M，并将每个用户的正交投影矩阵M定期发送给每个用户；在用户端接收基站发送的数据，并从接收的数据中得到正交投影矩阵M；利用正交投影矩阵M将期望用户的MIMO检测转化为K元二次凸函数的极小值，其中K表示对期望用户而言，发送天线的个数；利用球检测的方法，得到检测数据的估计。

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 formula of the second order Doppler shift of simple cubic monatomic nanocrystalline particle is reduced by means of the Green's function.

应用格林函数理论，推导了简立方单原子纳米晶体颗粒的二次多普勒移动公式。

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。