维数

Quaternion for the rotation of three-dimensional model can be well calculated.

四元数对于三维模型的旋转能够很好的计算。

Lagerfeld's irrepressible facility for quick-fire free association in design ideas led to dozens of three-dimensional devices thereafter: huge bunchy cap sleeves, cartridge rolls of material encircling waists or hobbling hemlines, deep scrolls of fabric standing out from skirts, and spaghettilike fringing flying from shoulders.

拉格菲尔德的设施是无法快速消防结社自由，在设计理念，导致数十名三维立体装置，此后：庞大的束帽袖，墨盒卷的材料，围堵腰部或阻碍hemlines ，深春联织物常委会从裙子，和spaghettilike边缘的飞行从肩上。

The relationship between total species and the theoretical rank of the two-dimensional matrix was deduced and it was found that the rank of data matrix was smaller than the total species in sample.

推导了型体总数与两维矩阵的有效秩之间的关系。

In the paper, 3D temperature and fluid flow fields were numerically simulated in three-split concentric tube recuperator with longitudinal fins on conjugated heat transfer.

数值模拟了变物性带均布纵肋的同心套管换热芯的导热和对流换热耦合问题三维温度场和流场以及Nu数，与常物性下的结果进行了对比。

Compared to the repulsive force model, rotation is considered when the collision happens and the particles touch or even overlap.

采用软球解析模型模拟了不同雷诺数下单个、两个以及25个圆球在三维方槽中的沉降。

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。

We get some results about the scalar curvature of 2 and n(n≥3)dimensions Einstein manifold :ρ Maybe is constant and ρ is constant, the relation between Einstein Manifold and Riemannian Manifold with constant sectional curvature.

本文对其有关性质进行了讨论，得到了2维和n(n≥3)维爱因斯坦流形的数曲率的一些结果：ρ可能为常数和ρ为常数，以及爱因斯坦流形与常曲率黎曼流形之间的关系

For compact hypersurfaces and highcodimension compact submanifolds initial data respectively, we prove that the flow hasa smooth solution for all time under almost optimal conditions. Those conditions arethat the second fundamental form on the initial submanifolds is not too large, the exter-nal force field, with its any order derivatives, is bounded, and the field is convex with itseigenvalues satisfying a pinch inequality.

我们分别对紧超曲面初值和高余维紧子流形初值证明了当初始曲率比较小，并且外力场除了要各阶导数一致有界外，还要满足凸性条件以及特征值的一个pinch条件时，这种热流的光滑解长时间存在。

In this paper, some practical and advanced geophysical methods are introduced. These methods include resistivity image profiling, 3D reflection seismics, borehole radar, borehole camera, acoustic televiewer log, dipmeter log and cross-hole log. The main purpose of this paper is to briefly introduce their operating principles and possible applications to geotechnical engineers for references.

本文列举数项实用且先进的地球物理技术，包括：地电阻影像剖面法、三维反射震测法、孔内雷达探测技术、孔内摄影法、超音波电视井测、倾角井测及跨孔井测等，就其施测原理与可能的应用方向做一介绍，期能提供大地工程调查规划时的参考。

During the meeting on Sunday, the government's representatives, Zhu Weiqun and Sitar, the lead negotiators in previous discussions, pointed out that the riots had created new obstacles for resuming contact."However," they added,"the central government still arranged this meeting with great patience and sincerity."

在周日的会谈中，中国政府的代表，也是以前数次谈判的代表，朱维群和斯塔，指出：之前发生的骚乱为双方重新接触制造了很大的障碍，"尽管如此"，他们补充道："中央政府仍然以最大的耐心和诚意来进行此次会谈。"

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。