We need to know how hard it is to reverse the exponentiation 我们需要知道求幂运算的逆运算的难度。
2.
This paper studies the inverse operation of the matrix power operation , namely the root operation 摘要研究了矩阵幂运算的逆运算，即矩阵的开方运算。
3.
( 3 ) for the first hierarchy mentioned above , the multiplication and inversion in gf ( pm ) are two key operations ( 3 )对于第一层次的运算，关键是域元素的乘法和乘逆运算。
4.
In the receive site , we operate non - chaos synchronization in reverse and resume binary message sequence by the correlated rule of the sender 接收端根据发送端的相关规则，进行非混沌同步的逆运算，恢复出二进制信息序列。
5.
When calculous was at it ' s initial stage , newton computed the integral by contradictorily operation of differential , leibniz used the " tiny elements " method 在微积分的初创时期， newton通过微分法的逆运算，即“反流数术’来解决求积问题，而leibniz则采用“微元法’ 。
6.
In order to improve their speed , " fast polynomial multiplication algorithm " and " fast algorithm of r - circulant matrix inversion " are proposed , which offer obviously computational advantages 本文提出了“快速多项式乘法运算”算法和“ r -循环矩阵快速乘逆运算”算法，用以提高这两种运算的速度，具有明显的速度优势。
7.
Considering the difference - resisting capacity of power function in classic s - box , we substitute the inverse function by better power function . we prove that these change do not influence the difference resisting capacity from the theory 其次考虑到经典s盒中幂函数的抗差分攻击能力，我们用幂函数取代rijndael算法中s盒的求逆运算。
8.
It has good computational cost because of avoiding any inverse operation and optimal ordering . it also utilizes double - directional detection and diversity combine technology to migrate the error propagation , and then improve the ber performance 它不需要进行任何形式的矩阵求逆运算和最优信号排序操作,因此具有良好的算法复杂度,同时它利用双向检测策略与分集合并技术来抑制误差传递,提高了算法的检测性能。
9.
Better performance are gained when the properties of balance and activity are combined in an attack of reduced variants of rijndael . 7 . the optimisations of rijndael sbox , of columnmix and its inverse , and of the round trans formation are thoroughly studied for purpose of better performance 7 、研究了rijndael算法s盒、列变换及其逆运算、整个轮变换的优化方法，从运算单位、数据访问时间和简化矩阵运算等方面提高算法的实现效率。
10.
In audio robust watermark algorithm , watermark is embedded in transform domain by using the speediness , simplicity and multi - resolution of wavelet transform . when extracting watermarking , the audio is decomposed by single - level discrete 1 - d wavelet transform , and watermarking is extracted by ica based on kurtosis maximization . this method ’ s computational cost is low 音频水印利用小波变换快速、简单和多分辨率的特点来嵌入水印,提取的时候,先对观测音频文件进行一级小波分解,然后用基于最大峰值的ica方法进行水印提取,这种方法避免了其他盲源分离方法必需的求逆运算,所以计算量小。
