二次函数

Steady Region(1),Transition Region(2),Resonance Region(3),and Antiresonance Region,just like thatprogressive wave field can be described by three regions in spacialdomain.

二次谐波声压级变化曲线可用一初等函数近似描述。

First, the input model is embedded into a coarse tetrahedral control mesh, and the modified barycentric coordinates are employed to establish their relationship. Then according to users editing, the control mesh is deformed by solving a quadric nonlinear energy minimization problem, and the deformation is passed to the embedded model by interpolation.

首先将输入模型嵌入到一个稀疏的四面体控制网格中，并且通过一种改进的重心坐标来建立两者的对应关系；然后通过用户的交互，对控制网格建立一个二次非线性能量函数对其进行变形，而输入模型的变形结果则可以通过插值来直接获得。

The main contents and contributions include: 1 On basis of the defined biorthogonality, we propose several biquadratic cost functions for array-signal blind separation.

主要的研究内容和成果包括以下几个方面：1）利用定义双正交原理提出提出了多种用于阵列信号盲分离双二次代价函数。

By using such exact Green's functions,we obtain boththe bilinear and biquadratic coupling strengths of the metallic magnetic multilayers.

使用这一严格格林函数，我们求出了双线性和双二次耦合强度。

Keywords: Blind source separation; Blind equalization;biquadratic cost function; Multistage Decomposition; Nonstationary signal

中文关键词：盲源分离；盲均衡；双二次代价函数；多阶段分解；非平稳信号

Ourresults show that only when the s-d mixing is strong enough,can the bilinear orthe biquadratic coupling show an oscillatory behavior in the experimental range ofthe spacer thickness.

我们的结果表明，只有在s-d混合作用足够强的时候双线性和双二次耦合强度才会在实验观测的中间非磁金属夹层厚度的范围内表现为中间夹层厚度的振荡函数。

Firstly, the modified H-R variational principle for elastic material was briefly presented, then the quadratic interpolation functions were used to express the out-plane stresses and displacements variables, consequently the formulation of 8-node isoparametric element for Hamilton canonical equation was derived in detail.

首先简要地介绍了弹性材料修正后的H-R变分原理，然后用二次插值函数表示平面外应力和位移变量，并详细地推导了Hamilton正则方程的八节点等参元列式。

Take the normal graded granularity for example, the curve function of the collaring rectangle was derived, which can provide a kind of mathematic model for drawing the lithologic frame of terrigenous elastic rocks in the second development of graphic software.

为了弥补绘图软件的这些不足，提出用曲边矩形代替矩形来绘制陆源碎屑岩岩性框架，并以表示正粒序陆源碎屑岩岩性框架的曲边矩形为例，详细推导了其曲边的函数表达式，为绘图软件的二次开发提供了陆源碎屑岩岩性框架绘制的一种数学模型。

This function is a kind of orthonormal function, and it can approximate almost any curve in quadratic continuous integral space, thus it enhances the generalization ability of the SVM.

该核函数不仅具有平移正交性，而且可以以其正交性逼近二次可积空间上的任意曲线，从而提升了支持向量机的泛化性能。

X, s. t. g≤0(i=1, 2,…, m), where x∈R and ? g: R→R are twice continuously differentiable convex function.

x，s.t.g≤0(i=1， 2，…， m)，其中，x∈R；f，g：R→R为二次连续可微凸函数。

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。