数域

词组短语

field of numbers · number field

与数域相关的网络例句 [注：此内容来源于网络，仅供参考]

In this paper, an axiomatic system for the definition of degree of greyness of grey number is built based on discussion with two definitions of degree of greyness of grey number which have been put forward in the past.

基于对已有的几种灰数灰度定义的讨论，建立了灰数灰度定义的公理系统；以灰数灰度定义公理为准绳，由灰数产生的背景或论域及灰数取数域的测度构造出一种新的灰数灰度定义式。

At present, frequency-wavenumber domain expression has been derived by Lie algebra integral and exponential mapping, and we need to research the method of transform from wavenumber domain to space domain.

目前，通过李代数积分和指数映射的研究，已经导出频率波数域表达式，需要研究波数域到空间域变换的实现方式。

In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量(地面点到地下相点的水平距离)的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

Having considered the effect of wave number setting on the numerical calculation result, the cubic spline interpolation method has been used to infill data in the wave number domain. An inverse Fourier transform realized by Gaussian integral method converts the K domain solutions to electromagnetic fields in real space.

针对波数域中波数取值对模拟结果的影响，采用三次样条插值加密波数域数据，用高斯积分实现Fourier逆变换将波数域解变换为空间域电磁场。

Author, secondly, starts from the approximate expandness of square root operator, perform mathematical calculations for finite difference operator in frequency-space domain, Fourier finite difference operator in mixing domain(frequency-space and frequency-wavenumber domain) and general screen operator in mixing domain, compare and discuss their precision of their wavefield, adaptability for lateral velocity variations, computation efficiency and stability.

第二，从平方根算子的近似展开出发对频率—空间域的有限差分算子、混合域(频率—空间域；频率—波数域)的Fourier有限差分算子、混合域的广义屏算子进行了推导并对其波场描述精度、对横向变速的适应性、计算效率和稳定性进行了比较与评述。

II, Polynomial rings on a general field( on contrast of those over a number field): concepts of ring, ideals, field and several special rings as domains, principal ideal domains and unique factorization domains, the unique factorization theory of polynomial rings.

二、一般域上的多项式理论（是数域上多项式理论的推广）：学习环、域和几类特殊结构的环（整环、主理想环，唯一分解环等）的概念，多项式环的唯一分解定理；三、线性代数：讲述一般数域上的向量空间理论（是数域上向量空间理论的继续和推广），模的概念，主理想环上的模的结构及其线性变换的若当标准型等；四、一元多项式的解及域论：学习域扩张及其相关概念，伽罗瓦理论，用伽罗瓦定理判断根式解的存在性。

Time domain algorithm,range-doppler algorithm and wave number domain algorithm are being discussed and compared on this foundation.

在此基础上，分别讨论时域算法、距离——多普勒算法、波数域算法并对其进行了比较，并对波数域算法的并行性做了初步研究。

In theory, it can be realized by frequency-wavenumber domain expression and transform from wavenumber domain to space domain.

大步长单程波算子是穿过厚层的单程波算子的积分，在理论上它可以通过频率波数域表达式和波数域到空间域变换来实现。

In the last two chapters, this thesis first develops two quaternion-based color image filtering methods that are based on the quaternion rotation theory and quaternion unit transform, respectively, then analyzes the fulfillment algorithm of the QSVD (Quaternion Singular Value Decomposition) and its applications to color image processing, and expands the real number-valued PCA to quaternion-valued PCA.

在论文的最后二章，通过利用四元数旋转和色调抵消机制以及四元数单位变换来表达二个彩色像素的色调差异，提出了二个基于四元数理论的彩色图像滤波的新方法；并分析了四元数奇异值分解QSVD (Quaternion Singular Value Decomposition)的实现算法及其在彩色图像处理中的应用；同时将实数域上的主成份分析扩展到四元数域，形成了四元数版本的主成份分析QPCA (Quaternion Principal Component Analysis)。

与数域相关的网络解释 [注：此内容来源于网络，仅供参考]

absolute algebraic number field：绝对代数数域

absolute alcohol | 无水酒精 | absolute algebraic number field | 绝对代数数域 | absolute altimeter | 绝对测高计

algebraic number field：代数数域

algebraic number 代数数 | algebraic number field 代数数域 | algebraic number theory 代数数论

finite algebraic number field：有限代数数域

finite algebraic extension 有限代数扩张 | finite algebraic number field 有限代数数域 | finite alphabet 有限字母

relative algebraic number field：相对代数数域

relative air-density 相対空気密度 | relative algebraic number field 相对代数数域 | relative altitude position 相对高度位置

algebraic groups over an algebraic number field：数域上代数群

数域的判别式|discriminant of number field | 数域上代数群|algebraic groups over an algebraic number field | 数值逼近|numerical approximation

arithmetic of algebraic number fields：代数数域的数论

arithmetic number 正实数 | arithmetic of algebraic number fields 代数数域的数论 | arithmetic of algebras 代数的数论

field of numbers：数域

field of forces 力场 | field of numbers 数域 | field of rational functions 有理函数域

number field：数域

number defined by the dedekind cut 切断数 | number field 数域 | number interval 数区间

number field：数域;数体

数轴 number axis | 数域;数体 number field | 数字语言 number language

wavenumber domain：波数域

波平均流交互作用 wave-mean flow interaction | 波数域 wavenumber domain | 波数谱 wavenumber spectrum