查询词典 studied

Quadratic algebraic function fields are studied here.Fundamental units forseveral types of such fields are determined explicitly.

本文研究了二次代数函数域，明显决定了几类实二次函数域的基本单位，决定了多类二次函数域的理想类数的下界，给出了类。。。

The Todd polynomials were first studied in algebraic geometry and it is surprising that they play this fundamental role in classification of manifolds .

托德 多项式第一次被学习在代数几何并且它惊奇他们充当在多头管的分类的这个根本角色。

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。

By complete discrimination system of polynomial algebraic equation and resultant theory, a symmetry class of quartic systems with stellar node is studied.

利用多项式代数方程的判别系统理论和结式理论，讨论了具有星形结点的一类对称四次系统的代数分类，并对系统进行全局分析。

Cardano's Ars Magna is a landmark in the history of mathematics. It started the theoretical research on algebraic equations, solved the polynomial equations of third-degree and forth-degree in a general and systematical way, and studied the imaginary number as well as its operations for the first time.

卡尔达诺的《大术》在数学史上具有重要的地位，它开创了代数方程的理论研究，首次系统地给出了三、四次多项式方程的一般解法，并且最早讨论了虚数及其运算。

This paper studied the coding algorithms for the R-S UEP Codes based on the algebraic characteristics of the code space.

本文以R-S不等保护码为研究对象，在分析码空间特性的基础上，着重研究编译码算法。

Determinants and their properties are also introduced. After review of the algebraic structure of the Euclidean space, the algebraic vector space then will be studied.

再复习欧几里德空间的一些代数性质与几何，然后学习向量空间与向量空间的性质。

We studied the algebraic structure of a subclass of 3-band wavelet systems, and got the similar results as in the 2-band case.

对于3带小波系统，我们研究了具有极小McMillan度数的小波系统的代数结构，得到了和文献[60]中的2带小波系统类似的结论。

In the chapter7 and 8, the numerical algorithm for the variable delay differential algebraic system is studied.

在第七、八章，本文就变延迟微分代数系统的数值算法展开了研究。

In chapter 3, we give a simple depiction for the main problem and results studied in this paper. We will introduced the so called characteristic algebraic system related to the problem and get simple descriptions for the blow-up criteria.

第三章简单叙述了本文要研究的主要问题及结论，并引入了包含所有非线性参数的特征代数方程组，用以统一而简洁地刻画所研究问题的临界指标。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。