有效函数

All assumptions for the method are come from the classical theory of the differential equations of motion of any studied element of a structure. Its dynamic stiffness matrix is the transcendental function of frequency. This transcendental eigenproblem can be solved efficiently by applying the well-known Williams-Wittrick algorithm.

该方法的所有假设仅来自于建立该单元运动微分方程的经典理论，所形成的动态刚度阵是固有频率的超越函数，解决这类超越特征值问题的有效方法是Williams-Wittrick算法。

The results of numerical experiments show that the method has the ability to filter the sample noise from limited number of background error member, to estimate the true background error correlation functions.

试验结果表明：基于球面小波的背景误差协方差模拟方法能够克服由有限背景误差样本引入的取样噪声，有效地估计出真实的背景误差相关函数。

To avoid numerical diffusion caused by convection-dominated effect, the streamline upwind is introduced to modify the weighted function.

在有限元方程离散过程中，针对流动对流占优的问题，引入对权函数的流线迎风修正，有效地消除了高雷诺数流动计算中的数值震荡。

The utility function is an effective tool in decision making analysis to describe the consequence.

采用效用函数描述后果是决策分析中较为有效的方法。

To find some useful eigenvalue in time series by mining the distributing values of original series, and deduce a collection of candidate slide-window size, find the optimal slide window size by adapting to the series eigenvalue variable motion movement.

通过对时序特征值分布函数挖掘，发现时间序列中的有效特征点，进而确定一组合适的滑动窗口宽度；最后根据序列的变化情况来决定最优的滑动窗口宽度，对原数据维度进行简约。

We compare the results with the analytic results from the weak coupling limit and the strong coupling limit. As an extension, when think about the dispersion relations for SU(2) trapped bosons, we find that we can not get the inverse effective mass directly from the dispersion relations of the holon-isospin excitation for the wave function from Bethe equation is not the eigenstate wave function of the total momentum.

作为推广，我们还研究了无限深势阱中SU(2)玻色子的各类激发态的色散关系，发现由于直接的Bethe Ansatz 波函数不是总动量的本征态，所以不同通过直接的色散关系来给出质量有效质量比。

The research work is given as follows. Aiming at the difficulty of traditional form and the lack of the concise and effective mode, the geometry characteristic, the theory of conjugacy and the form of scrolls are analyzed. A general describing mode of scrolls based on Whewell equation is presented on the design of profiles.

主要在以下几个方面进行了研究工作：针对采用传统方式描述的型线表达形式各自相异，缺乏简洁有效的型线通用模型，重点研究分析了涡旋型线几何特性、构成形式与啮合理论；提出了基于Whewell方程的涡旋型线通用曲线函数类表征形式。

The key technologies of which are hash function zero knowledge proof and digital signature.

消息完整性及真实性认证是防止消息被篡改、删除、重放和伪造的一种有效方法，其关键技术为：哈希函数、零知识证明和数字签名。

By analyzing the results of LSNR measurements for samples with different components, and comparing with the media of Aprilis Corporation, we give the suggestion to optimize the material components in the future. In addition, based on the physical mechanism of intra-page crosstalk noise, we proposed the Pixel-Matched Spread Function, and a simplified deconvolution arithmetic to suppress the intra-page crosstalk noise.

另外，在分析数字数据全息存储中页内串扰噪声产生的物理过程的基础上，提出了像元匹配扩散函数的概念，并提出了一个反卷积算法来抑制页内串扰噪声，计算机模拟和实验结果都证明我们提出的PMSF算法可以有效的抑制页内串扰噪声，提高恢复数据页的保真度。

At the same time, Biham gave an attack on 40-step SHA-1[6] and Joux improved upon the results of Biham and Chen[5] by presenting practical collisions in SHA-0 [24].The most important result is the break of MD5 by Xiaoyun Wang and Hongbo Yu.

比特追踪法是现今分析MD4系列杂凑函数所使用的最为广泛有效的方法，它的技术细节在2005年欧密会上公开，是破解包含MD5和SHA-1在内的多数MD4系列杂凑算法的理论基础。

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。