二次函数

Firstly the fuzzy entropy in quadratic form is modified by substituting standard negative operator of Zadeh with generalized negative operator of Sugeno, and the generalized fuzzy entropy formula is obtained.

首先将Sugeno广义否定算子替代二次型模糊熵公式的Zadeh标准否定算子，得到了参数型的广义模糊熵表达式；其次，将其应用于构造图像阈值化分割的准则函数；最后，给出了图像阈值化分割新算法中的广义模糊熵参数自动选取方法。

Combined prototype tests with numberical tests, the invalid load, strengthen load and critical load are determined.

首次得到了随着锻炼载荷等级的不断提高，结构在高载荷下的过载寿命先增加而后降低的结论，即锻炼后寿命与锻炼载荷的函数关系可表为一元二次多项式。

We also know that ArcSin is an odd function and therefore the second order term B*X*X is of no use in the approximation.

我们也知道 ArcSin 是一个奇函数，因此二次项 B*X*X 在近似中没有用。

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。

When these coefficients are quadratic functions of the porosity, specific constituent orthogonal weighting coefficients are derived from these orthogonal conditions along with a discussion about how to extend the applicable range of the constituent orthogonal weighting coefficients in the orthogonal coordinates. Based on the combination of the theory of critical porosity and the constituent model, it presents a specific example of the constituent model that includes two transforming points. The reasonability of above-mentioned theories is shown by comparison of theoretical calculations and measured data on effective elastic moduli of clean sandstone or sandstone analogs saturated with pure water.

再次，结合弹性模量组分关系方程与正交基函数理论，推导组分加权系数的正交条件；基于正交条件，提出组分加权系数为孔隙度二次多项式时正交组分加权系数的构造方法以及正交组分加权系数适用范围的拓展方法；结合临界孔隙度理论，提出一个基于两个状态分界点的组分模型实例；比较组分模型的计算结果与前人关于砂岩弹性模量的实验结果，证明了组分孔隙介质模型理论的合理性。

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)。

Basing on the coordinating equations of multivariate spline space, we firstly study the smooth connection problem of the bivariate quadratic polynomial spline functions which defined on the polygonal region with one interior net

最后说明了在一种类1—型三角剖分上二元二次样条函数s∈S_2~1的存在性及在其上曲面光滑连接的可行性。

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。

With the help of bivariate entropy function, another programming is obtained and It's then proved that the solution of primal problem can be approximately obtained by solving a series of such programming.

这篇文章的求解是基于最大团问题的一个超方体约束下的二次规划模型，首先用二元熵函数作辅助项得到另外一个优化模型。

The probability distribution function matching method used in mean-shift was imported for re-validating the detected targets.

本文采用了均值偏移算法常用的概率分布函数匹配技术，对检测出的小目标进行二次确认。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。