复数

基本解释 (translations)

plural  ·  pluralism  ·  plurality  ·  pluralities  ·  plurals

词组短语

complex number

与复数相关的网络例句 [注：此内容来源于网络，仅供参考]

The findings show how the students understanding the concept of complex number and other related concepts:(1) The concepts of complex number is understood from the perspective of algebraic expression;(2) The concepts of complex number is understood from the perspective of geometry;(3) The concepts of complex number is understood comprehensively.

结果显示，学生对复数及其一些概念的理解呈现三个侧面：（1）代数式子意义上理解的复数；（2）几何意义上理解的复数；（3）整体意义上理解的复数。

In this thesis, we will mainly do research on the novel scheme for Digital image Steganography, Digital Image Secret Transmission in network and the development of the information hiding device for application. The main contributions of this thesis are as following: The novel conversion method for mapping image to complex number is proposed, and the plus, minus, multiply and complex conjugate operation of image are defined based on Positional number systems and complex number system. Following new results have been gotten: 1 The suitable complex number basis to be used to express integers is a big set. 2 Any image can be mapping into a one-to-one point. 3 Lots of image processing problem can be considered based on geometric theory.

在本论文中，研究工作集中在数字图像伪装算法的新模型、图像在网络中的加密传输的新方案和信息伪装设备的研发等三个方面，主要包括：基于位值制记数法和复数系理论，提出利用复数作为基底的数字图像新的表示方法，用复数运算定义了图像和图像间的"加"、"减"、"乘"、"共轭"等运算关系；得到理论结果： 1、能表示任何整数的复数基是很大的一个集合。2、任何一幅图像，都能和复平面上的一个点一一对应。3、可以将图像问题化归为平面几何问题处理。4、复数系下的图像表示适合用于信息伪装。

Definition : plural addition, the plural subtraction, multiplication complex, realistic Ministry for the imaginary part of the plural output, the same judge two plural.

定义方法：复数加法、复数减法、复数乘法、求实部，求虚部，将复数输出，判断两个复数相等。

In Chapter 5, in geometric perspectives, the geometric properties of complex numbers are explored, including complex plane, four arithmetic operations of complex numbers and nth root of a complex number. It is also exemplified how these geometric properties are applied to solving the problems of plane geometry.

第五章从几何的观点探索复数的几何性质，包括复数平面、复数的四则运算及复数的n次方根，并举出几个例子，说明这些几何性质如何应用在解决平面几何的问题上。

It employs the complex-valued step function to build neural model, then constructs network structure and decides the number of neurons; it adopts complex-valued Hebbian rules and inner product way to calculate the net weight matrix; then it analyzes the convergence of the network by taking advantage of the definition of energy function. In the image pre-processing stage, 2-dimensional Fourier Transform and Euler's formula are used, respectively, to transfer a gray-scaled image into phase information needed by the complex-valued neural network when stores the traffic sign. In the image post-processing stage, phase inverse transformation is used to change the phase image to gray-scaled image.

采用复数阶跃函数构建了神经元模型，建立了复数Hopfield神经网络结构，并且确定了网络中神经元的个数；借助复数Hebbian学习规则和复数内积法给出了网络权值的确定方法；借用复数网络能量函数的定义，说明了复数识别网络的收敛性；在前期的图像数据处理部分，分别使用离散二维傅里叶变换和欧拉公式，给出了将灰度图像数据转化为复数网络所需要的相位信息的方法，实现了网络对路牌的记忆存储；在后期的图像还原部分利用相位逆变换的方法，实现了相位图到灰度图转化。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

In this paper, three methods for color image retrieval have been presented: hypercomplex SVD image retrieval, combination of hypercomplex convolution filter and hypercomplex SVD image retrieval and hypercomplex matrix correlation image retrieval. We made comparison among these hypercomplex-methods, and compared them with the traditional image retrieval methods. Experiment results showed that the hypercomplex-methods we presented in this paper could well conquer the problems existed in traditional image retrieval methods, and their retrieval results are much better. Meanwhile, this paper presented a new color image quality assessment based on hypercomplex SVD. It is a novel color image quality assessment that can be used as a graphical or a scalar measure to predict the distortion introduced by a wide range of noise sources. It reliably measures the distortion not only within a distortion type at different distortion levels, but also across different distortion types.

提出了超复数奇异值分解检索法，超复数卷积滤波与超复数奇异值分解相结合的检索法以及超复数矩阵相关检索法等三种超复数彩色图像检索方法，在对提出的三种算法进行比较的同时也将其与传统图像检索方法进行了比较，结果证明，超复数彩色图像检索法能较好地克服传统图像检索方法存在的问题，且检索结果更优；同时，本文提出了基于超复数奇异值分解的彩色图像质量客观评估法，这种全新的图形化与数值化相结合的方法不仅能够准确评估出彩色图像的不同失真等级，还能够区分不同的失真类型，从真正意义上实现了彩色图像的质量评估。

The concept of triangular ratio and triangle formula;(2) Reorganization and deep understanding of the concept of complex number which are promoted by the learning of triangular representation of complex number;(3) Teacher's beliefs and college entrance examination.

本文中的调查显示，复数的三角形式是学生认知的难点，我从以下四点分析了对学生学习三角形式的影响：（1）三角比、三角公式对复数三角形式认知的影响；（2）复数三角形式的学习是学生对复数认知的重组和深化；（3）老师的信念和高考对学生学习复数三角形式的影响；（4）教材体系的编排对学生学习复数三角形式的影响。

This thesis makes use of complex numbers to study geometry. It mainly considers the following questions: using complex numbers to express collected points and curves on the level;geometric applications of complex numbers on collinear,concurrent,round,Mobius Mappings of Complex numbers problems,etc..Meanwhile,this thesis recommends some methods for thinking on mathematics.

本文利用复数来研究几何，主要考虑如下的问题：平面上的点集的复数表示；平面曲线的复数表示；复数在共线、共点、共圆、复数的麦比乌斯变换等几何问题上的应用，在说明这些应用的同时介绍一些数学上常用的思考方法。

The method for determining a phase-noise spectrum comprises generating real complex samples, by digitally sampling a phase component and phase quadrature component of the input signal in baseband, determining ideal complex samples from generated real samples, establishing complex quotients from the real and ideal complex samples, generating modified complex quotients by assigning the value 1 to the complex quotients, and subjecting the modified complex quotients to a Fourier transform.

所述方法包括以下步骤：通过对基带中的所述输入信号的相位分量和相位正交分量进行数字采样，产生实际复数采样Areal(n(S100)；根据产生的实际采样Areal(n确定理想复数采样Aideal(n(S101)；根据实际复数采样Areal(n和理想复数采样Aideal(n形成复数商ΔA1(n＝Areal/Aideal；通过对所述复数商指定值1，产生经修正复数商B(n(S106)；以及对经修正复数商B(n进行傅立叶变换(S107)。

与复数相关的网络解释 [注：此内容来源于网络，仅供参考]

complex conjugate：共轭复数

如果有一个根是复数,则它的共轭复数 (complex conjugate) 必定也是一个根; 换句话说,复数根必定成对出现. 例如一个三阶多项式不可能有两个实根、一个复根的情况发生.

complex number field：复数域

complex number 复数=>複素数 | complex number field 复数域 | complex number plane 复数平面=>複素平面

complex number field：复数栏

复数 complex number | 复数栏 complex number field | 复数型 complex number type

complex line：复数线

复数反演平面 complex inversion plane | 复数线 complex line | 复数对数 complex logarithm

complex manifold：复数流型

复数对数 complex logarithm | 复数流型 complex manifold | 复数测度 complex measure

complex number plane：复数平面=>複素平面

complex number field 复数域 | complex number plane 复数平面=>複素平面 | complex number space 复数空间

conjugate complex number：共轭复数=>共役複素数

conjugate complex 共轭复数 | conjugate complex number 共轭复数=>共役複素数 | conjugate complex number current 共轭复数电流

complex number space：复数空间

complex notation | 复数记法 | complex number space | 复数空间 | complex number | 复数

complex number type：复数型

complex number space 复数空间 | complex number type 复数型 | complex numeric data 复数数据

plurality：复数性

1 "复数性"(plurality)是阿伦特政治哲学中所使用的概念,它意指人类在地球这个世界中生存,不是单个的人,而是复数的人. 在人与人之间发生活动力的正是复数性存在. 公民社会正是复数的人群所组成. 这一事实是"公民的条件"之一.