大代数

According to algebraic number theory,all solutions of Pocklington equation in a ring of integers of a quadratic imaginary field are determined,which implies that the equation has only several solutions in the ring.

利用代数数论的理论与方法，决定了一个重要的不定方程在一个特殊的虚二次域整数环中的解，从而指出这个方程在比整数环更大的环中也仅有有限个解。

By reviewing carefully original literature,it is pointed out that pursing a more general reciprocity law maby the most motive of the development of algebraic number theory, usual material mainly emphasizes the function of Fermats last theorem.

通过原始文献的深入分析，研究表明：一般互反定律的寻求可能是代数数论发展的最主要动力，而通常文献中主要强调了费马大定理的作用。

For implementing the encryption/decryption and information hiding for digital multimedia, and aiming to generate enough large cipher key space, the accurate period of high dimension random matrix scrambling transformation is studied with the help of number theory and algebraic theory.

为了适合数字多媒体特性，实施多媒体加密与信息隐藏，生成充分大的密钥空间，使用了数论、近世代数、算法分析等工具，对高维随机矩阵置乱变换的精确周期进行了研究。

But it demands the higher computational accuracy. Time-dependent LU-SGS method and close coupled full implicit finite volume scheme are used. The AUSMPW+ based on the three-order MUSCL difference scheme is used for the inviscid operator, and the maximum eigenvalue splitting method is used to convert matrix operation to algebraic operation in order to shorten the computing time.

运用时间相关的LU-SGS方法，采用强耦合的全隐式有限体积进行离散，其中无粘对流项采用三阶MUSCL型差分的AUSMPW+格式，并应用最大特征值分裂，将矩阵运算转化为代数运算，大大缩短了计算时间。

Advanced mathematics is one of the most important foundation lessons in each univercity, its content of course includes the calculus,the space analytic geometry and the vector algebra step,etc..

摘 要：高等数学是各大高校最重要的基础课之一，其教学内容包含微积分、空间解析几何与向量代数初步、场论初步等等。

We have researched the decentralized stabilization problem of nonlinear large scale composite systems by differential geometric and analytical method, it is shown that the results are better than that one obtained by using only one of these two methods.

本文分别采用代数方法与分析方法、微分几何方法和分析方法相结合的方式讨论了比较广泛的非线性组合大系统的分散反馈镇定问题。

The algorithm is based on my "Linear Algebra" to describe the preparation, the biggest band Matrix will be able to arbitrarily amend, more versatile.

该算法系本人根据《线性代数》描述编写，矩阵的最大阶数可任意修改，更具有通用性。

I received another paper and a table of signs by return mail, and I set to work to learn the notation. But on the night before the algebra examination, while I was struggling over some very complicated examples, I could not tell the combinations of bracket, brace and radical.

在考代数的头天夜里我忙于运算复杂的习题，对于那些括号、大括号和方根的联合使用老是分辨不清。

There are two main disadvantages in the present differential algebra equation model used in AC/DC system: one is that 'dimensional calamity' can occur with the increment of DC transmission lines

目前普遍使用的AC/DC系统的微分代数模型主要存在2大缺陷：①随着直流线路的增加可能出现"维数灾难"问题

Because the equation is a various coefficients second-order parabolical partial differential equation,explicit difference formats usually have high condition for stability. Implicit difference formats have good stability,but they must calculate a set of algebraic equations,which are too complex.

由于泥沙扩散方程是一个二维变系数的抛物型方程，对于多维的方程，显格式往往稳定性要求很高，而隐格式虽然稳定性较好，但它要解大型的代数方程组，工作量也非常大，为了克服这两种格式的不足，常用ADI法求解，但仍存在一些计算量偏大等不足之处，因此构造出更好的差分格式是有必要的。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。