查询词典 algebraic algebra

This paper studies the construction principle and main algebraic properties of AES S-box,points out the S-box has these characteristics that periods of affine transformed pair is 4,periods of iterative-output is less than 88,strict avalanche criterion distance is 432,the algebraic expression has only 9 items and so on.

研究了AES S盒的构造原理和主要代数性质，指出了AES S盒的仿射变换对周期为4，迭代输出周期不大于88，严格雪崩准则距离为432，代数表达式只有9项等。

Different from previously presented threshold RSA signature schemes, this new scheme can effectively avoid computation of any element\'s inverse in any algebraic structure such as Z_(φ and Z_N, which makes the complicated algebraic extension, parameter constraint and inversion pre-computation all unnecessary.

该体制基于整数矩阵运算，不需要对任何非域代数结构中的元素求逆，为构造高效实用的门限RSA签名方案奠定了基础。

First, a simple criterion on the delay-independent asymptotic stability has been derived in the form of the algebraic Riccati inequality and algebraic Riccati equation for the linear systems with time-varying multi-state delays.

4针对工业生产中广泛存在的不确定时滞过程，研究了时滞系统的渐近稳定性的判定方法和镇定方法。

cryptography ; algebraic attack ; Boolean function ; algebraic immune degree

本文研究了具有1型线性结构的布尔函数f的代数免疫阶，揭示了布尔函数的线性结构对其代数免

It has developed from two sources: algebraic geometry and algebraic member theory.

它由两个方面发展而来，代数几何和代数数论。

The next part introduces schemes and algebraic varieties, the basic language of algebraic geometry.

下一个部分实施计划和代数学的种类，代数学的几何学的BASIC语言。

On the other hand, equivariant algebraic topology concerns the study of algebraic invariants of space with group actions. It is really a study of symmetries on spaces, and has always occupied a central role in mathematics.

在另一方面，等变代数拓扑关注于带有群作用的拓扑空间代数不变量的研究，其更深刻的本质在于对空间对称性的揭示，因此从来都在数学研究中占有重要的地位。

It's really the natural setting for algebraic topology because the traditional algebraic invariants (fundamental group, homolog group,etc.) arc isomorphic not only for homeomorphic spaces but for spaces of the same homotopy type. Homtopy epimorphisms and monomorphisms are special morphisms in the category of topological spaces and the initial research of them may be traceable to S.T.

同伦论的本质是利用比同胚关系更广泛的等价关系—同伦关系来对拓扑空间进行研究，这也是代数拓扑研究中一种自然的考虑，因为传统的代数不变量不仅在同胚的空间之间保持同构，而且在具有相同伦型的空间之间也保持同构。

In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

重点研究了模型内、外边界及有关参数的处理，针对描述煤层甲烷运移的数学模型是一个复杂、高阶非线性数学模型的特点，详细研究了模型的全隐式求解方法，根据最后形成的代数方程组的复杂性，按交替方向隐式差分格式，采用迭代与全选主元高斯约当消去法相结合的方法求解方程：即确定系数矩阵采用迭代法，求解线性方程组时采用全选主元高斯约当消去法，在研究模型解法的同时按FORTRAN结构化程序设计的要求，编制计算机程序，形成相应的CBMRS计算机模型，并通过模型的运行从理论上证明了模型的正确性与可靠性。

The article is mainly disscuss the universal application of primary transformation in higher algebraic,linear algebraic and elementary theory of number.

本论文主要讨论了矩阵的初等变换在高等代数、线性代数以及初等数论中的广泛运用。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。