等价的

In this paper, the influence of error propagation on soft demodulation in coded MIMO system is analyzed in detail. Besides, based on the thought of soft symbol interference cancellation, Iterative Channel Soft Information for coded MIMO system is further deduced and proved to have the same form as the inverse of row norm of Moore-Penrose inverse of channel matrix.

摘要该文针对编码MIMO系统，分析了MIMO检测过程中串行干扰删除引入的误差传播对软解调的影响，同时，借鉴软符号干扰消除的思想，推导出该系统中迭代信道软信息(Iterative Channel Soft Information， ICSI)的计算方法，并证明了该信道软信息等价于信道矩阵广义逆的行范数的倒数。

Using Hankel digital filter algorithm and inverse spine interpolation algorithm to simulate electromagnetic fields of the horizontal layers , we contrast the calculational Cagniard apparent resistivity with its results and field experimentation.

利用汉克尔数值滤波算法和逆样条插值算法对水平层状电磁场进行正演计算，并与计算的卡尼亚视电阻率的对比和野外试验结果表明：该方法的结果在远区等价卡尼亚电阻率，在近区和过渡带则明显地改善了卡尼亚电阻率的非波场区场畸变，从而能更好地接近基底的真电阻率，更形象地反映了地下介质的垂向电性变化。

The general conditions of invertible completions of operator matrix Mx are supplied and the intersective characterization of the resolvent set of operator of Mx are been desribed.

4研究了算子逆配置的等价条件，并借助算子的ε-限制逆配置的刻画及正算子、紧算子的特性，完全刻画了算子对的逆配置。

Zeros of irreducible real quaternionic polynomial are the isolated point solutions of the original polynomial equation.

不可约四元数多项式的零点对应原多项式的孤立点解，一次实系数多项式的零点对应原多项式的实数解，二次实系数多项式(Δ＜0)的零点对应原多项式的等价类解。

First of all, the structural analysis under the action of random loads is carried out and the mean value and variance of all joint's displacement and bar's stress in the structure are obtained by means of three fundamental equations (equilibrium, physical and geometric) in structural mechanics, as well as the property of moment of random variable.

通过引入可靠性安全系数，并利用结构力学的三个基本方程，将结构的位移和杆件应力可靠性约束等价显示化为设计变量的线性函数，使原基于可靠性的优化模型转化为常规的序列线性规划问题，利用修正的单纯形法求解。

A multi-level hierarchical image representation that preserves topological relation equivalency and a set of well-complete functional architecture that efficiently reflects this representation are presented, and the digital Jordan curve theorem is validated.

基于复形理论定义了数字图像空间的拓扑元素及其性质，在此基础上提出一套完备的保持拓扑等价性的层次表达数字图像的数学模型体系框架，并验证了层次表达结构中的Jordan曲线定理。

By using matrix norm, matrix singular value, non-negative matrix theory, the regions of numaerical range and spectum of operator polynomial and the regularity of operator linear pencil are obtained.

8应用矩阵范数理论、矩阵的奇异值理论、非负矩阵的理论、友矩阵、算子的谱理论为工具，获得了算子多项式数值域具有的特性及其包含范围，算子多项式数值域与n-次数值域的关系，最后研究了算子线性束正则性的等价条件及谱分布情况。

To generalize convex functions, Zalinescu introduced the concepts of uniformly convex functions in 1983, and discussed some properties for them;under the conditions of upper semicontinuity and lower semicontinuity, some equivalent conditions were given by Yang in 1998, so that criteria for uniformly convex functions are simplified.

作为对凸函数的推广，1983年Zalinescu提出了一致凸函数的概念，并讨论了它们的一些性质特点；1998年Yang在上半连续和下半连续条件下给出了一致凸函数的一些等价条件，简化了一致凸性函数类的判别条件。

In this thesis, according the matrix forms in quantum mechanics and the experience of the author in theories and experiments we think that quantum parallelism can be understood equally as that quantum computers process the multiplication of U matrix and vectors directly.

在本文中，由量子力学中的矩阵形式并根据作者在从理论和实验工作中的个人体会，认为该原则被等价地表述为量子计算直接进行的就是U矩阵对矢量的乘法更有利于对量子算法的理解。

In this paper constructed the projection operator s of all the inequivalent and irreducible presentation which attributes to C_(2v) group,according to these projection operator s composed the twenty-four normal modes of vibration and their normal coordinates,and analyzed the spectral properties of these vibration modes.

利用群论方法构造出属于C2v群的各不等价不可约表示的投影算符，应用求得的投影算符合成丙酮分子的24个简正振动模式及简正坐标，并分析其振动模式的光谱特性

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失