代数表达式 meaning in English
algebraic expre ion
algebraic expression
Examples
- 4 . based on the partition of equivalence classes , the resolving of linear equations and the calculation of the dual basis , three methodologies are proposed to determine the algebraic representations of coordinates of finite field elements with the elements themselves as the variable
4 、基于等价类的划分、线性方程组的求解和标准基之对偶基的计算，提出了域元素分量代数表达式的三种求法。 - 3 . the only non - linear part of the algorithm ? s - box is researched in the view of multi - output boolean function , and the algebraic expression and boolean function expression of the s - box are obtained . after analyzing a series of the cipher properties of the s - box , the inner course that camellia could be chosen as european block cipher standard and could withstand many attack ways effectively is revealed
3 .从多输出布尔函数这一角度对此算法中唯一的非线性部件? s盒进行了研究,得出了s盒的代数表达式和布尔函数表达式,并通过对s盒的一系列密码性质的分析,揭示了camellia算法被选为欧洲普通型分组密码标准并能抵抗多种攻击方法的内在原因。 - With those above , an essential explanation to the simplicity of the representation of rijndael s - box is given , and a direct proof to the equivalence between any two coordinate functions of rijndael s - box is provided , with the equivalence described by only one matrix of order eight over gf ( 28 ) . 5
利用这三种方法计算出的域元素分量表达式，解释了rijndael算法s盒代数表达式复杂度低的本质原因；给出rijndael算法s盒分量函数间等价关系的一种直接的证明方法，并用一个八阶gf ( 2 ~ 8 )矩阵完全刻划这种等价关系。 - Chapter 4 discusses how to stabilize a class of time - delays neural networks via standard feedback control ; this kind of neural networks provides a unified view of several well - known neural networks ( such as hopfield neural networks and cellular neural networks ) with discrete delays or distributed delays . a stability criterion is given by using the lyapunov method . all the results obtained in this chapter are stated in simple algebraic forms so that their verifications and applications are straightforward and convenient
通过使用lyapunov方法,我们得到了一类时延神经网络经过标准反馈控制后的稳定条件,这类神经网络涵盖了几种著名的神经网络,如hopfield神经网络、细胞神经网络,同样,本章所得到的结论也是简单的代数表达式,使用非常方便,最后在用计算机通过做数值实验对这些结论进行了验证。