完全域

词组短语

complete field · perfect field

与完全域相关的网络例句 [注：此内容来源于网络，仅供参考]

Finite-difference time-domain method was used to simulate the coupling processes of ultra-wide-band electromagnetic pulses into a cavity with a slot, and an anisotropic perfectly matched layer absorbing medium was inserted to truncate the computational lattices.

用时域有限差分法模拟超宽带脉冲入射时与目标腔体上的孔缝相耦合的过程，用单轴各向异性的完全匹配层吸收边界条件截断时域有限差分网格。

This paper reviews the theory of complete Bouguer correction and the terrain correction in the space domain and frequency domain, and suggests an integrated method applied to the practical work which shows good result.

本文总结了完全布格校正的理论，从空间域和频率域的角度对中间层和地形校正的方法作了介绍，并引入了一种综合的方法且将之运用到了实际的工作中，并取得了很好的效果。

In this paper, new classes of linear block codes over finite fields of the algebraicinteger ring of quadratic number fields Qd~(1/2 modulo irreducible elements with norm p or p~2 are presented. These codes can correct one error which takes from the cyclic subgroup of the multiplicative group of the finite fields. The results presented in this paper extend the corresponding results of previous papers.

在处理适用于二维信号的线性分组码时，我们考虑类数为1的有理数域二次扩域Qd~(1/2的代数整数环，利用范数为p或p~2的不可约元构造有限域，给出剩余类域的一组完全陪集代表元系，从而构造出一类有限域上的线性分组码，当错误取值于有限域乘法群的一个循环子群时，所得到的适用于二维信号的线性分组码可以纠单个错，推广了文[14-16]的结果。

The time-domain response of the induced currents on a scattering object irradiated by a plane wave with a Gaussian pulse in time is expanded as an associate Hermite series in this paper. Using the isomorphism of the associate Hermite function and its Fourier transform, the frequency-domain information can be obtained similarly to the time-domain expansion. According to the corresponding relation between time-domain analysis and frequency-domain analysis, and using the early-time response and the low-frequency information of the induced currents, the non-known coefficients in the expansion series can be decided. The entire responses of the induced currents on the scattering object in both time and frequency domains can be obtained at one time by simultaneous extrapolation computation using both the early-time response and the low-frequency information of the induced currents.

摘要首先根据散射体在高斯脉冲平面波激励下感应电流的能量几乎全部集中在时间轴和频率轴上的有限范围内，该文将时域响应展开为系数待定的连带Hermite级数的叠加，并根据连带Hermite函数的傅里叶变换的自反性，得到与时域响应形式类似的频域响应；然后利用时域方法和频域方法分别计算散射体上感应电流的早时响应和低频信息；最后经过时域和频域联合外推计算，由早时响应和低频信息确定时域和频域响应的待定系数，从而获得了整个时域和频域的完全响应。

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

Now the controllability theory in linear systems over the field R of real numbers has been heavily studied. This theory is efficacious for analyzing the characters which are determined by the value of physical parameters and system structure, nevertheless a practical system has a definite structure and has approximate, even unknown parameter sometimes because of a limit to experiment conditions, or a limit to making technology, the errors of observation. It is inconvenience for a linear system over the field R of real numbers to analyze the structure characters of a physical system, such as structural controllability.

目前，实数域上的系统的完全能控性理论研究已经很成熟了，它用于分析系统结构和物理参量的值共同决定的那些性能是有效的，然而，在工程中，由于实验条件或者制造工艺上的限制和观测上的误差，以及人为地对数据的近似处理，一个实际系统往往其结构是确定的，而参数只是近似的甚至未知的，实数域上的系统不便于分析物理系统的结构性质，如结构能控性。

In Chapter 1, assuming that the coefficient field κ is perfect and the order of the inertia group is coprime to the characteristic of κ, we prove the existence and the uniqueness of the hyperfocal subalgebra of a source algebra.

在第一章中，假设系数域是完全的；在惯性群的阶与系数域的特征互素的情况下，我们证明了源代数的超聚焦子代数的存在性与唯一性。

Mathematical morphology is developed from set theory and integral geometry, which is concerned with the shape of a signal waveform completely in the time domain rather than the domain frequency.

数学形态学是从集合论和积分几何学发展起来的，它完全在时域对信号的波形进行分析，不涉足频域分析。

The completely diagonalized Hamiltonian matrices of 3d2／3d8 ion configuration in the trigonal symmetry sites have been established by irreducible representation method. Taken into account microscopic magnetic interactions, the spectral fine structure, local structure and zero-field splitting parameters of V3+:α-Al2O3 and Ni2+:α-Al2O3 crystals are investigated as well as the influence of the doping.

应用不可约张量方法构造了三角晶场中3d2/3d8态离子的45阶可完全对角化的能量哈密顿矩阵，在考虑了微小磁相互作用的基础上计算了V3+：α-Al2O3和Ni2+：α-Al2O3晶体的光谱精细结构、晶体局域结构和零场分裂参量，研究了掺入Ni2+和V3+对α-Al2O3晶体光谱精细结构、晶体局域结构和零场分裂参量的影响。

According to GBEM,a fullysymmetric Galerkin multi-zone boundary element methodisproposed in this paper.Based on regarding the coefficient matrix as thesum of a symmetric part and a non-symmetric one,this problem is solvedby adopting a proper assembly.Following this treatment,GBEM will beextended for a wide scope.

针对这一问题，(1)本文在单域伽辽金边界元的基础上，采用先生成各子域的方程，将系数矩阵表达为对称部分与非对称部分之和，通过恰当的集成方式，消除非对称部分的方法，提出了一种完全对称的伽辽金边界元子域法，拓宽了伽辽金边界元法的使用范围。

与完全域相关的网络解释 [注：此内容来源于网络，仅供参考]

complete field of sets：集的完全域

complete field 完全域 | complete field of sets 集的完全域 | complete graph 完全图

complete field：完全域

complete elliptic integral 完全椭圆积分 | complete field 完全域 | complete field of sets 集的完全域

complete reinhardt domain：完全赖因哈特域

完全可约性|complete reducibility | 完全赖因哈特域|complete Reinhardt domain | 完全类|complete class

imperfect field：不完全域

impact matrix 碰撞矩阵 | imperfect field 不完全域 | implicate 蕴涵

ordered field：有序域

并且一个有序域(ordered field)被称为完全的,如果它的任何在这个域中有上界的非空子集,都有一个在这个域中的最小上界(least upper bound);注意这个定义与序理论中的完全有界性(bounded complete)有细小的差别.

ordered field：序域

并且一个有序域(ordered field)被称为完全的,假如它的任何在这个域中有上界的非空子集,都有一个在这个域中的最小上界(least upper bound);注重这个定义与序理论中的完全有界性(bounded complete)有细小的差别.

perfect cube：完全立方

percentile 百分位数 | perfect cube 完全立方 | perfect field 完全域

perfect field：完全域

perfect cube 完全立方 | perfect field 完全域 | perfect form 完全型

perfect form：完全型

perfect field 完全域 | perfect form 完全型 | perfect group 完全群

complete uniform space：完全一致空间

完全线性系|complete linear system | 完全一致空间|complete uniform space | 完全域|complete field