系数函数

After a power spectrum is constructed, empirical wavelet coefficients are used to detect the jump points in the function to obtain the strong consistent estimator of the position and number of the frequencies. Numerical simulations show this method is reliable.

根据它们的协方差函数可以表示为一个Fourier级数，而其Fourier系数可通过协方差函数的逆变换得到的特性，我们对于零均值的近周期相关序列构造了类似于周期图的函数，并构造其经验小波系数，利用频率处于此函数的尖点的特性，以及此性质在经验小波系数中的反映，来确定频率的个数和位置，所有的估计量都是强相合的，此外，数值模拟的结果表明，我们的方法是有效的。

According to the hypothesis of continuum, a tube with the corner strengthened is gained to make an equal of the frame-tube. B3-spline functions and parabola functions are applied to simulate the displacement functions of the frame-tube. The system of equations about the undetermined coefficients of displacement functions is deduced by using energy-variational principle, by solving which the displacement of the frame-tube is gained. Then the internal forces in the columns and beams of the former frame-tube are obtained according to the principles of elasticity mechanics.

根据连续化假设将框筒等效为角部加强筒体，将三次样条函数与抛物线函数结合假定框筒的位移函数，运用能量变分原理推导出了关于位移函数待定系数的方程组，解得位移函数待定系数进而解得框筒的位移，再根据弹性力学原理确定原框筒中梁柱的内力。

In our analyses andcalculations,the effects of impurities and defects on the growth process areattributed to a new effective surface tension which has different scalingbehavior from the original one,and the growth inhomogeneities are modeledby Delta function and screened Coulomb function,respectively.

在分析计算中，是通过引入新的有效表面张力系数，将杂质和缺陷对表面生长过程的影响归结为一个新的有效的表面张力系数，这个表面张力系数与原来的表面张力系数具有不同的标度行为，对非均一生长率则分别使用了Delta函数模型和屏蔽的库仑函数模型。

And the influence factors such as suspension concentration,operating pressure,Reynolds number and Euler number were established.

结果表明，死端过滤速率衰减模型中过滤速率与时间呈幂函数关系、而十字流过滤速率衰减模型中过滤速率与时间则呈一次函数关系，死端过滤时悬浮液浓度和气压过滤压力对其过滤速率衰减模型系数的影响均呈三次函数关系，在十字流过滤时悬浮液浓度、操作压力以及雷诺数对模型系数b的影响均呈线性关系，轴向流十字流过滤速率衰减模型系数b与欧拉数呈反比，而旋转流十字流过滤时则模型系数a与欧拉数呈反比关系。

Then, incomplete beta function is applied to enhance the image′s global contrast in the low frequency subband, and nonlinear gain function is used to process the coefficients at each scale in the directional bandpass subbands respectively, which suppresses small coefficients and enhances big coefficients by threshold denoising method.

引入非完全贝塔函数对低频子带系数进行处理，提升图像整体对比度；采用非线性增益函数对各带通方向子带系数进行处理，通过估计噪声水平设定阈值，抑制绝对值小于阈值的系数，增强大于阈值的系数。

Finally, the method is demonstrated with some oil derrick.

首先，应用当量损伤系数作为判别损伤是否存在与程度大小的综合评价指标，建立了损伤刚度矩阵；其次，确定了应力与当量损伤系数之间的函数关系，推导了应力残差矩阵对当量损伤系数的灵敏度表达式；然后，构造了基于应力的目标函数，提出应用正算过程和优化方法反演识别当量损伤系数；最后，用该方法对某石油井架进行了损伤识别。

To simplify FEM analysis of concrete creep, the function to creep coefficient is proposed as per the Code for Design of Highway RC and PC Bridges and Culverts (JTG D62-2004), using a synthesis optimization software package "1 stopt" for stepped fitting with exponential functions.

为了便于进行混凝土徐变有限元分析，对JTG D62-2004《公路钢筋混凝土及预应力混凝土桥涵设计规范》提出的徐变系数函数，应用综合优化软件包1stopt进行分段指数函数拟合。

The calculation of wavelet and scalar function coefficients at the process of decomposition of triangular mesh, the choice of wavelet coefficient threshold and the calculation of scalar function coefficient at the reconstruction process are introduced in this dissertation. The multiresolution decomposition, compression and reconstruction of triangular mesh with subdivision connectivity are realized.

关于细分连续三角网格的多分辨分解、压缩与重构，本文介绍了细分连续三角网格分解过程中小波系数及尺度函数系数的计算、小波系数的阈值选取和重构过程中尺度函数系数的计算，并给予了实现，获得较好的压缩性能和质量。

For the first patern, elastic dynamics is adopted to study the steady state rolling contact, elastic dynamics incorporating with rigid dynamics is adopted to study the non-steady state. For the steady state, the analytical solution is obtained, and for the non-steady state, the variational formulation to solve the problem numerically is derived For the later patern, the function type friction coefficient is introduced. On the basis of the quasi-stastic theories of constant friction coefficients, both the exact theory and the simplified theory of the function type friction coefficient are established, the computer programms for both the theories are also made out. Using the function type friction coefficient, Shen-Hedrick-Elkins theory's application range is extended to large creepage .

对于速度对接触体力学特性的影响，本文采用弹性动力学方法和弹性动力学与刚体动力学相结合的方法分别对稳态和非稳态两种情况进行了研究，得到了稳态情况的解析解，给出了对非稳态情况进行数值求解的变分公式；对于速度对相关物理量的影响，本文主要讨论了速度对摩擦系数的影响，在滚动接触准静态理论的基础上引进了函数型摩擦系数，建立了函数型摩擦系数的滚动接触准静态精确理论和简化理论，并分别编制了相关的计算程序，还用函数型摩擦系数将简便的Shen-Hedrick-Elkins理论的适用范围扩展到大蠕滑区。

Based on the above-mentioned parameter, according to the relationship between robust estimation and nonlinear diffusion, the Turkey loss function is introduced as the diffusion function in SAR image decomposition because of its better performance, and the contour of an image is extracted by the Turkey diffusion function with the proposed diffusion parameter mentioned above. The experiment results indicate that the Turkey loss function based diffusion process can strengthen the conspicuous contour. Additionally, a Raita\'s criterion-based method, solving the automatic diffusion threshold, is proposed to automatically set the threshold in diffusion decomposition.

针对基于梯度参数和局域方差系数的扩散在对SAR图像进行分解时存在的缺陷，提出了一种局域方差系数与窗口幅度均值积的扩散系数，该系数能够更有效地实现潜在目标区域和背景区域的区分；在此基础上，根据鲁棒估计与非线性扩散的联系，引入扩散效果更好的Turkey损失函数作为图像分解中的扩散函数，并结合局域方差系数与窗口幅度均值积的扩散参数来提取图像的轮廓，结果表明：基于Turkey损失函数的扩散过程对特征突出的边缘所起的&强化作用&更加明显；此外，针对扩散分解中的阈值确定问题，提出了一种基于拉依达准则的扩散阈值自动求解方法，实现了扩散阈值的自动求解。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。