查询词典 unitarily equivalent representation

The algorithm is applied in the segmentation of Magnetic Resonance Imaging of human brain for the 3D reconstruction on dependent of different human tissue structures, in which the problem on wraps between different tissues and fuzzy edges between the different regions in medical volume data may better be settled, which can not be well done by the typical"hard"segmentation using binary logical representation.(3) An accelerated algorithm of volume rendering with X-ray perspective and Phong shading effect based on textures mapping and blending is presented for realizing 3D reconstruction of medical volume data by 2D texture mapping and blending, in which the accelerated algorithm of window transformation is utilized to computing voxels' gray scales and opacities to produce X-ray perspective images, and Phone illumination model is used to import world light sources and an unit spherical surface under the same shading environment as the actual volume rendering is employed to simulate the real reflectional light of per-voxel so that 3D reconstruction possesses illumination effect in the world. Furthermore, 3D matrix transformations of degree rotation and other operations of 3D object are studied, and a fast equivalent method of corresponding shading correction is brought forward to improve its interaction speed in volume rendering process.

该方法利用体数据的窗口变换加速算法将医学体数据转换为计算机显示值，可以得到具有X光透视效果三维图像；该方法提出的Phong明暗处理加速算法利用Phong光照模型引入外部光源，使用一单位球面体来仿真体数据的法线矢量集所产生的反射光强，以快速得到每一个体素的反射光强度，使物体的三维重建达到现实世界中人眼直接观察的逼真效果；此外，还研究了三维重建物体的三维旋转等矩阵变换，提出了一种Phong明暗修正的快速算法来保证了体绘制中三维几何变换的多视角观察的交互速度。

The natural frequency, amplitude of equivalent acceleration and equivalent exposure time of two platforms are determined according to the ISO standard.

通过将分析数据与国家标准的对比的显示，现役导管架平台在海冰作用下产生的振动对上部作业人员会产生显著的影响。

Then the structure decomposed into a series of equivalent single degree of freedom system, the random wind-induced response and the equivalent static wind action based on Davenport spectrum of the structure with TLD are obtained. An example confirms this method.

此外，由于建立了将结构分解为一系列等效单自由度体系的一般方法，利用等效单自由度体系与抗震反应谱的关系，本文方法还可用于非经典阻尼非对称被动控制结构基于抗震反应谱的地震作用取值。

When the equivalent strain rate is relatively low, this influence can be neglected and the compression process can be considered as an isothermal process. While the equivalent strain rate is high, this influence is of importance and the compression process can be approximately considered as an adiabatic process.

当等效应变速率很小时，变形热效应对流动应力的影响可忽略不计，压缩过程可近似认为是等温过程；当等效应变速率较大时，变形热效应对流动应力的影响相当显著，压缩过程基本上成为绝热过程。

When the equivalent strain rate is relatively low, this influence can beneglected and the compression process can be considered as an isothermal process. While the equivalent strain rate is high, this influence is of importance and the compression process can be approximately considered as an adiabatic process.

当等效应变速率很小时，变形热效应对流动应力的影响可忽略不计，压缩过程可近似认为是等温过程；当等效应变速率较大时，变形热效应对流动应力的影响相当显著，压缩过程基本上成为绝热过程。

Since the attenuation of the free-space channel between ground and satellite is contributed by the aerosphere, its equivalent length is about 5 km and the total attenuation of round-trip is equivalent to 10 km free-space channel in the earth surface aerosphere.

由于地面-卫星之间的自由空间信道的衰减主要集中在地面大气层，其等效厚度约为5km，往返两次的信道衰减等效于地面大气层的10km。

Finaly, we introduce the Bernstein-Kantorovich quasi interpolant and study the approximation equivalent theorem with pointwise modulus (o≤λ≤1 ) in space L[0,1] and approximation equivalent theorem with Ditzian-Totik modulusin space L_[0,1](1 ≤p ≤ω).

最后，引入Bernstein-Kantorovich拟中插式，利用点态光滑模ω_~(2r)(0≤λ≤1)讨论了其在L_∞[0，1]空间的逼近等价定理和其在L_p[0，1](1≤p≤∞)空间关于模ω_ψ~(2r)的逼近等价定理。

For example, the following statement is correct: System.out.println(x = 1); which is equivalent to x = 1; System.out.println; The following statement is also correct: i = j = k = 1; which is equivalent to k = 1; j = k; i = j; In an assignment statement, the data type of the variable on the left must be compatible with the data type of the value on the right.

例如，以下声明是正确的： 55 System.out.println （十= 1 ）；这相当于为x = 1 ； 55 System.out.println ；以下声明也是正确的：= j =当K = 1 ；这相当于当K = 1 ； j =钾；=焦耳；在转让的声明中，数据类型的变量在左边则必须与数据类型的价值，对正确的。

Both single and double-stable limit cycle flutter states are found in wind-tunnel test. And the conclusion is proofed that the equivalent linearization based on the second order asymptotic solution of KBM method is more accurate than that based on the first order one, which is equivalent to the conventional harmonic balance method.

风洞实验时，吹出了单、双稳定极限环颤振情形，并验证了基于KBM二次渐近解的当量线化分析比KBM法一次渐近解的当量线化分析要精确一些的结论。

Let L and P be Lie color algebras and let M be a graded module over P, the crossed modules which make M as their kernal and P as their cokernal are considered. It is shown that under a suitable equivalent relation, there is a bijection between the set of the equivalent classes CML and the homogeneous components of degree zero of H~3.

从交叉模的定义出发，对于给定的Lie color代数L，P以及阶化P模M，考虑所有以M为核、以P为余核的L的交叉模，在这些交叉模之间定义了一个等价关系，由此得到交叉模的等价类集CML，证明了CML与三维上同调群H~3的零次齐次部分之间存在一一对应，从而可以利用三维上同调群对Lie color代数的交叉模进行分类。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。