查询词典 dimensional analysis

The velocity vectors of the flow field are also calculated. Finally, on the basis of experimental data and dimensional analysis, the effects of Reynold number and Froude number on the reattachment length decreases as Re or Fr increases, and the regression formulas are following

最后将实验数据及参数加以无因次分析，探讨雷诺数及福禄数对复合长度之影响，发现无因次复合长度随著雷诺数及福禄数之增加而减短，其回归公式如下

First, based on the analysis of the grid Reynold number, the necessity for adopting high order scheme is emphasized when there is the complex flows with strong separation and high parameters gradient regions. Then, according to the entropy increased condition, the third order ENN scheme is constructed. Meanwhile, a fast, effective, and simple implicit numerical method called hybrid flux splitting method is developed. After that, the one dimensional model problem with many extrema and Burgers equation are simulated. Through the comparisons with exact solutions, the accuracy and effectiveness of the ENN scheme are confirmed.

首先通过对网格雷诺数的分析，论证了在求解含分离及较大参数梯度的流动时，采用高阶格式的必要性，然后从熵增原理出发，提出了建立三阶ENN格式的准则，同时发展并建立了一种快速、有效的简单隐式算法"混合通量分裂法"，通过对一维模型问题及Burgers方程的数值试验，检验了三阶格式的计算精度。

Let be an n dimensional Riemannian manifold, the properties of harmonic functions on it are the interesting problems in geometric analysis.

在黎曼流形上的分析中，很大一部分是对流形上函数的调和性研究[1 - 2 ] ，并从中得到关于这些函数的性质。

A new approach-two dimensional principal component analysis(2DPCA) is developed for face recognition. 2DPCA approach dont need to transform the image matrix into feature vector. It directly uses the image matrix to construct the sample covariance matrix.

5研究了二维主成分分析(2DPCA)方法，2DPCA方法不需要先将图像矩阵展开成一维向量，而是直接利用图像矩阵来构建样本协方差矩阵，所以2DPCA比PCA的识别时间更短，识别更高。

In order to study the mechanical behavior of special joint at connection between stiff suspension cable and upper chord of truss beam for stiff suspension reinforced steel truss bridge, a 1:2 scale-down model test and three-dimensional finite element analysis of Dongjiang Bridge's special joint S25 were investigated in order to find the stresses distribution rule and mechanical property of the special joint.

为研究刚性悬索加劲钢桁梁桥刚性悬索与桁梁上弦杆的连接处特殊节点的力学行为，结合东莞市东江大桥，采用1：2的几何缩尺比例，对其特殊节点S25进行了模型试验研究，并进行了详细的空间有限元分析。

The content of this research project concerns the quantum dynamics and semiclassical analysis of LQG as well as the significance of supersymmetry and higher dimensional gravity.

本项目就圈量子引力的量子动力学、半经典分析以及高维引力和超对称的意义等课题进行了研究。

After some reasonable assumption and simplicity,a two-dimensional analysis method has been got with separation of variables.

本文通过一系列合理假设和简化后，利用分离变量法，推导出计算汽缸温度场的二维解析法。

The nonlinear singular boundary value problems with one-dimensional p-laplacian comes from applied mathematics and physics and is now one of the most active research field in modern analysis.

利用变分方法、锥理论和Leggett-Williams定理，我们在本文中研究了一维奇异p-Laplacian非线性边值问题正解的存在性问题，得到了一些新成果。

The application of high order spectral analysis is related to computations of high order moment functions and multi-dimensional Fourier transforms. The errors appear in these computations and limitation of measured data may cause the failure of such comparison.

高阶谱分析方法的应用中要涉及到高阶谱矩、高阶相关函数及高维傅立叶变换的计算，这些计算所带来的近似及试验记录的局限性很可能是导致两种方法比较时不成功的原因。

As shown by three-dimensional analysis of segmental stability, the specimens lost their stability after impact in high-energy group.

节段遭受爆裂骨折的破坏能量、撞击力可作为损伤阈值的有效指标，而撞击速度、加速度、速度及位移大小仅可作为损伤限量的参考值。

My father is over 60 years old, and he lifts weights every day.

我爸爸六十多岁了，他每天都练习举重。

Then in a serious tone she declared:"It doesn't pay, dear boy, to look like a ninny with one's wife the first night."

两眼湿润了，她把身子蜷得很小，这样似乎可以更好地闻闻自己。