查询词典 equation of variation

Use the cubic function to be the displacement funtion, then base on the energy variation principle, the natural vibration equation is derived, which considers the pressure force and the boundary conditions of the compressed bar.

采用三次函数作为压杆单元的位移函数，基于能量变分原理，构造了一种可以考虑初始内力及边界条件的压杆单元。

First, structure tensor is calculated to gain vector field for characterizing local structure of image. And then, total variation partial difference equation is imposed for smoothing vector field. Based on this we use line integral convolution for guide the stroke to generate virtual special effect image with fluctuant sense. Last, mergering with original real image, cylindrical panorama with virtualized relationship controlled by time can be generated, which accomplished the character of surpass the time and space in virtual reality system.

该方法通过计算结构张量获得图像曲线走向矢量场，以此刻画图像局部结构；并采用全变分偏微分方程对曲线走向矢量场自适应滤波平滑处理；在此基础上利用线积分卷积指导画笔走向模拟生成线条波动感虚化效果图像；最后结合原始真实图像和虚化效果图像，实现了一种基于时间变量的柱面场景虚化关联算法，并为虚拟现实系统超越现实时空的需要提供了一种新思路。

Furthermore the existence condition and the variation principle of the differential equation are discussed, and the theory gist of the step-time technologies is presented.

应用相关的势算子理论对抛物型偏微分方程的泛函存在条件及变分定理进行了较系统的讨论，进而指出了"时间步进有限元法"各种处理方法的理论依据。

Hierarchical linear modeling is the most frequently used technique for analyzing multilevel data. In this paper, the twelve key issues in multilevel research and/or using HLM software were reviewed, and provided their exact meanings and feasible solutions. The 12 key issues included intraclass correlation coefficient, sample sizes, formation of organizational constructs, centering problems, fixed effect and random effect, estimation methods, goodness of fit index, explained variation, multicollinearity, robust standard error, level one variance equation, and empirical Bayes estimates.

本文针对阶层线性模式在多层次研究上有关於技术、测量与方法论所遭遇的问题，进行文献整理并讨论其实务意涵，并依据使用时机、抽样议题、资料汇总、分析方法、与模式评估与估算等五方面整理出十二项重要议题与解决之道，包括：组内相关系数的意义与判断准则、多层次研究各层的样本数问题、变数聚合成组织层次问题、中心化的意义、固定效果与随机效果的设定、估计法的选择、适配度的比较、解释变异量的计算、多元共线性的分析、强韧性标准误、第一层误差项变异数与实证贝氏估计值的运用。

Based on two order approximation of the variation of refraction index produced by self-action while optical pulses are traveling in Kerr-medium,the propagation equation has been solved.Furthermore,the strict analytical expressions of the amplitu

文摘：将光脉冲在克尔介质中自作用产生的折射率变化作二阶近似，求解所得到的传播方程，得到啁啾高斯脉冲幅度，脉冲宽度和周啾参数随传播距离变化的严格解析解，讨论了基模高斯脉冲孤波传播的条件。

In Chapter two, it is given of the three-dimensional boundary element and the boundary element space, Sobolev space for the contact boundary element problem with friction; it is proved of existence and uniqueness of the solution by variation inequality for the contact Boundary Element Method matrix equation under two kinds of condition that the contact zone is fixed and the contact zone is increasing along with the load; it is given of the expressionfor the error of the exact solution and the boundary element solution.

第2章，给出三维边界单元及边界元空间、有摩擦接触边界元问题的Sobolev空间，利用变分不等式证明了不变接触区和随载荷可变接触区两种情况下的接触边界元法矩阵方程解的存在唯一性，给出了准确解与边界元解的误差表达式，还证明了三维弹塑性摩擦接触问题凝缩矩阵解的存在唯一性，为三维弹塑性摩擦接触边界元法奠定数学基础。

The approximate solution to FPK equation isobtained. The joint probability density function and stationary mean out-crossing rateare investigated for ship nonlinear rolling subjected to additive white noise excitation.Melnikov function and phase space flux are applied to analyze highly nonlinear rolland capsizing of ships in the random seas. The variation of phase space flux withrespect to the characteristic wave period, significant wave height and damping ofships is studied.

求FPK方程近似解，研究白噪声激励下船舶非线性横摇运动的联合概率密度函数及稳定期望穿阈率，应用Melnikov函数和相空间转移率研究船舶在随机波浪中的强非线性横摇运动及其倾覆问题，考虑波浪特征周期、有义波高及船舶阻尼特性的变化规律，推导了船舶在随机横浪中的极限波高的表达式。

By taking a variation on U with as a variable, one arrives at the stationary equation given by (2.110) and the stationary value of U, Us is given by 式中D

通过用 作为U的一个变量，由式2.110得到的固定方程式和U的固定值Us由下式得到

The calibration curve of the SM2-Kit with standard SM2 inhibitor was typical sigmoid curve fitted to the four parameter logistic equation with the linear detection of 0.625 μg/L to 80.0 μg/L (R2=0.9911), the sensitivity of 0.9 μg/L, the IC50 of 5.82 μg/L and the detection limit of 1 μg/L. The recoveries of SM2 spiked in pig feed were 83.4 %, in pig urine were 89.5 %. The precision and accuracy of the assay as determined by inter-assay and intra-assay coefficient variation was both below 15 %. The SM2-Kit generally had 2.08 % cross-reactivity towards sulfamerazine and little or no cross-reactivity towards other sulfonamides. The dilution solution of SM2 had no effect on results of SM2-Kit. The validity of SM2-Kit in 4 ℃ was above six months.

研究结果表明，SM2-Kit的标准曲线呈典型的S型，相关系数R2=0.9911，符合4参数logit曲线拟合，线性检测范围为0.625 μg/L～80 μg/L，灵敏度为0.9 μg/L，半数抑制浓度(IC50)为5.82 μg/L，检测限为1 μg/L；饲料样、猪尿样的平均添加回收率分别为83.4 %、89.5 %，平均批内和批间变异系数均低于15 %；SM2-Kit与磺胺甲基嘧啶的交叉反应率为2.08 %，与其它磺胺类药几乎没有反应性；基质对SM2-Kit的检测结果影响不大；试剂盒在4 ℃可保存6个月。

The document [1] to [5] reasearch the method of constant variation for solving nonlinear differential equation.

非线性微分方程没有一般的求解方法，而常数变易法是求解一阶线性微分方程的主要方法。

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At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。