查询词典 quadratic function

This article takes calibration data of assorted pressure gauge and jack of Qingfeng Bridge in Ningbo for example. According to that the quadratic sum of deviation in actual value and trend value has the minimum and extremal condition of the function,that is least square method.

本文以宁波市庆丰桥配套的千斤顶和压力表的标定数据为例，以实际值与趋势值的偏差的平方和最小为依据，根据函数存在的极值条件，求出线性方程，此为最小二乘法。

Then using Positive definite quadratic theory to prove a sufficient condition of Multivariate function's extreme value problem and show some examples about it.

而后利用正定二次型理论，证明了多元函数条件极值的一个充分条件，并给出了其应用的例子。

In view of trust region algorithm has good global convergence for solving non-linear quadratic programming problem,the effective elastic module s damage factor and the damage distribution function is introduced by FEM updating .

鉴于信赖域算法在求解非线性二次规划问题中具有良好的全局收敛特性，同时结合有限元模型修正技术，引入有效弹性模量损伤因子和损伤分布函数的概念，在Matlab编程环境下调用ANSYS有限元程序中的APDL语言进行桥梁空间结构的有限元建模，利用信赖域算法调整局部单元的参数，通过连续损伤分布插值多项式拟合连续区段各单元的损伤分布曲线，进而实现了对连续梁桥的动力损伤识别。

Firstly, the author establish the functions of stability on the basis of the spline function method ,according to the theory of geometrical nonlinear and the theory of stability, educe the stability equation of structure based on variational principle, then carry through the flexuosity analysis of CFST arch.The big distortion geometrical nonlinear was considered by the stability equation,the author simplified the problem of geometrical nonlinear through ignored quadratic term and reserve the simple term, at last boiled down to solve the linear stability equation of eigenvalue .

利用样条函数方法、根据几何非线性变形理论和结构稳定性理论，先建立起结构稳定的泛函，再由变分原理导出结构的稳定方程，进行钢管混凝土拱屈曲分析；本文所建立的稳定方程考虑了几何非线性的大变形效应，通过忽略几何非线性的二次项，保留一次项，将几何非线性问题简化，最后归结为求解线性稳定问题的特征值稳定方程，建立了结构非线性静力稳定性问题的新算法及失稳类型判别准则。

But , when we changeour trainofthought , we can find that sometimes using mathematical Analysis is a better solution to the linear algebraic problems.In thispaper, use the propertyofcontinuous function andimproper integralof infinite interval and to solve some matrix and quadratic form problems.Algebraic ideas andmethodstosolvemathematical analysisproblems are indicated by several specific examples. Close contactof differentmathematical analysis fields is shown.

该文探讨运用数学分析的有关知识（如：函数连续性、无穷区间的广义积分）和方法解决高等代数中的某些复杂、繁琐的问题；通过具体的实例，阐述高等代数的思想和方法在解决数学分析问题中的作用，揭示不同的数学领域之间的密切联系，例如：二次型与正交变换是代数学的基本内容，其用途十分广泛，而重积分的计算往往存在技术性的困难，若利用"二次型"与"正交变换"的有关理论去解决某些重积分的计算问题是颇有功效的。

In the modelling of frequency domain, a method to solve quadratic transfer function in non-Gaussian input is studied.

在频域建模中，研究了非高斯输入信号下系统二次传递函数的求解方法。

Based on the internal model of Jitterbug and its certain scheduling attributes with the quadratic cost function for a class of networked control system, we have derived the delay requirements of real-time closed loop control system and proceeded with analysis of delay compensation.

本文基于Jitterbug 内部模块特性，利用其特定的调度策略和性能指标函数，针对一类网络控制系统，导出了该实时闭环控制系统的性能优化时延需求，并进行了时延补偿分析。

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。

The current research points out that for the CFCHS joints the linear extrapolation method can be used for chords,whereas the quadratic extrapolation method must be used for braces.The hot spot stress distributions on the CFCHS joints tend to be more uniform and their SCFs become smaller significantly,compared with the CHS joints.Axial tension on the brace puts the CFCHS joints at a disadvantage,which produces higher SCFs than axial compression.The effects of nondimensional geometric parameters β,τ and γ on SCFs of the chords of the CFCHS joints are basically the same as those of the CHS joints,but for the braces,there is a bit difference in the effects of parameters β,τ and γ between the two kinds of joints.Concrete has the function of improving the CFCHS joint rigidity and then decreasing SCFs which is expected to increase fatigue strength,but concrete strength grade does not exert significant influence on SCFs.

研究表明：CFCHS节点的热点应力，对主管可采用线性外推方法，对支管需采用二次外推方法；相比CHS节点，CFCHS节点的热点应力分布趋于均匀，SCF显著减小；CFCHS节点支管轴向受拉比受压不利，SCF增大；CFCHS节点几何参数β，τ，γ对主管SCF的影响效应与CHS节点基本一致，但是对支管SCF的影响效应与CHS节点有些差异；混凝土的作用主要是改善CFCHS节点刚度，从而降低SCF，并预期可提高疲劳强度，但混凝土自身强度等级的高低没有显著影响节点的SCF。

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。

Further more, the simplified analysis method on stressed-skin effect of corrugated steel sheet is also discussed in detail.

此外还比较详细地探讨了蒙皮效应的简化分析方法。

If I had known her telephone number,I would have called her.

要是我知道她的电话号码，我就打电话给她了。