查询词典 integral ring

In this paper,similar canonical form of involutory matrix on integral number ring is given,and we prove that similar canonical form of involutory matrix is unique.

给出了整数环上对合矩阵的相似标准型，并证明了其唯一性。

Later advancements saw the ends of the can made out of aluminum instead of steel. In 1962, Ermal Cleon Fraze of Dayton, Ohio, invented the integral rivet and pull-tab (also known as rimple or ring pull), which had a ring attached at the rivet for pulling, and which would come off completely to be discarded.

之后的技术进步经历了铝替代铁做原材料使之能够冷凝。1962年，来自俄亥俄州代顿的艾马尔·克里昂·弗拉泽﹙Ermal Cleon Fraze﹚发明铆钉和拉标签：铆钉上外套一个环锚紧，拉开后可整个被丢弃。

From the molecular current viewpoint, the magnetic vector potential was employed to obtain the analytical the magnet field distribution expressed by complete elliptic integral for axially polarized permanent magnet ring.

从永磁体的分子电流观点出发，应用矢量磁位法，对轴向均匀充磁的永磁环，建立用完全椭回积分表示的永磁环外部空间磁势和磁场分布的解析计算表达式。

In this part, we mainly focus on some concepts such as integral domain, division ring, field, ideal, difference ring, isomorphism, homomorphism and anti-isomorphism.

本部分主要介绍整区、除环、域、理想、差环、同构、同态及反同态等基本概念。

By using the Euclidean algorithm and invertible linear transformation over an integral ring, the solution of integral indeterminate equations of the first degree was investigated in theory, and its matrix solution based on the elementary matrix transformation was proposed.

用欧几里德算法和整数环上的可逆线性变换，从理论上对整数一次不定方程组的解进行了深入研究，提出了用矩阵的初等变换求解整数一次不定方程组的矩阵解法，并利用MATLAB数学软件开发了相应的计算机程序。

The axially symmetric torsion of rigid circular shaft of varying diameter embedded in an elastic half space is studied by line-loaded integral equation method, where the problem is formulated by distributions of fictitions fundamental loads PRCHS (point ring couple in half space) along the axis of symmetry in interval of the shaft and is reduced to a one-dimensional and non-singular Fredholm integral equation of the first kind and is easily solved numerically.

弹性半空间；本文用线载荷积分方程法研究嵌在弹性半空间的刚性变直径圆轴的轴对称扭转。利用将"半空间的点环力偶"这一虚的基本载荷沿对称轴的圆轴区间中分布就能使本问题归结为一个一维的非奇异的Ferdholm第一种积分方程，且很易用数值求解。文中给出刚性圆锥，圆柱，圆锥柱嵌在弹性半空间的扭转的数值计算的例并和他人的已知结果相比较。

In chapter 4, Based on the orthogonality relations and duality of C-algebras, we study the decompositions of C-algebras, and give a Fourier inversion formula on C-algebras, which generalizes the Fourier inversion formula on the center of a finite group algebra over complex. As an application, we characterize the integral closure of C-algebras over the ring of integers, and show a necessary and sufficitient condition for elements of C-algbras being algbraic integral over integers.

第四章 我们应用C-代数的正交性及对偶性刻画了C-代数的一个分解，给出了C-代数上这个完全分解的Fourier反演公式，从而推广了Z分解的Fourier反演公式；作为Fourier反演公式的一个应用，我们刻画了Z在整数环Z上的整闭包，进一步我们研究了C-代数在整数环Z上的整闭包，给出了C-代数在整数环Z上为整元的一个充要条件。

In chapter 2, we consider the isomorphisms of integral table algebras. For integral table algebras with integral table basis B we can consider integral R-algebra RB over a subring R of 〓, the ring of the algebraic integers.

第二章 我们考虑了有理整表代数间的同构问题：对任意整表基为B的整表代数，我们研究了代数整数环〓的一个子环R上的整R-代数RB。

For integral table algebras with integral table basis B we can consider integral R-algebra RB over a subring R of 〓, the ring of the algebraic integers.

第二章 我们考虑了有理整表代数间的同构问题：对任意整表基为B的整表代数，我们研究了代数整数环〓的一个子环R上的整R-代数RB。

Some of their characteristics are discussed, and the integral ring theorem is obtained.

另外还对积分链与积分环的一些特征进行讨论，给出中值定理在粗积分链中的应用结果。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。