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The modular inverse operation by extended Euclidean algorithm and the binary extended Euclidean algorithm are analyzed, and the improved modular inverse operation by binary extended Euclidean algorithm is presented in this paper.

基于现有的求最大公因子的方法,分析利用扩展欧几里德求模逆的方法,以及二进制扩展欧几里德算法,提出了利用二进制扩展欧几里德算法求模逆的方法,给出了几种算法性能比较的测试环境和测试结果。

This paper gives a method that through elementary transformming the row of the matrix , the greatest common factor of the Euclidean Ring's factors can be found.

给出了利用矩阵的初等行变换求欧氏环中多个元素的最大公因子的方法。

Charles rises up in the 16th century as the model of the pastor known for his exemplarity in charity, doctrine, apostolic zeal and above all prayer:"We conquer souls," he said,"on our knees."

他尝说:世人的灵魂是跪著争取到的"。教宗继续谈这位圣人说:"圣人二十五岁便祝圣为主教,他把特里腾大公会议的训导付诸实行。

The right to summon an ecumenical council belongs properly to the pope alone, though by his express or presumed consent given ante or post factum, the summons may be issued, as in the case of most of the early councils, in the name of the civil authority.

有权传召一大公会议属于适当的教宗单,虽然他的明示或推定同意前厅或张贴,,传票,可发出的情况一样,大部分的早期议会,在名称公务员管理局。

Presents the study of second order linear constant coefficient progressive regression equation with the latest achievements in the "greatest common divisor" theory to give the great significance of Fibonacci combination series equation, Fermat Number , and Mersenne Number, and a only exceptional value each.

用"最大公约数"理论的最新结果,研究二阶线性常系数齐次递归方程,给出斐波那契数列组合式、费马数、梅森数在组合数学上的重要意义和它各自有一个且唯一例外

The Frankish ruler of the Peloponnesos was the Prince of Achaea, with his capital at Andravida in Elis.

伯罗奔尼撒的法兰克统治者是亚该亚大公,首都在埃利斯的安德拉费达城。

From 1893 until her death, she had the distinction of being a Russian Grand Duchess, a British Royal Duchess, and the consort of a German Sovereign Duke.

从1893年直到她去世,她有被俄罗斯大公,英国皇家公爵夫人的区别,以及配偶(后来的遗孀德国主权杜克大学)。

The Bonaparte family held the crowns of Emperor of France: Napoleon I, II, III; King of Holland: Louis I, II; King of Naples: Joseph I, Joachim I; King of Westphalia: Jerome I; King of Spain: Joseph I; Grand Duchess of Tuscany: Elisa Bonaparte.

波拿巴人拥有过法兰西皇帝头衔的有:拿破仑一世、二世、三世;荷兰国王头衔的:路易斯一世、二世;那不勒斯国王的:约瑟夫一世;加卡泊一世;威斯特伐利亚国王:杰罗姆一世;西班牙国王:约瑟夫一世;意大利托斯卡尼的大公夫人:艾利莎·波拿巴。

Her godparents were Prince Leopold, Duke of Albany ; the Landgrave of Hesse ; Count Gleichen ; the Duchess of Nassau ; the King of Sweden and Norway ; the Princess of Leiningen ; Grand Duchess Marie Feodorovna ; the Crown Princess of Denmark ; and the Duchess of Inverness .

公主的教人王子利奥波德公爵,黑森兰德格拉弗;伯爵格莱亨,在拿骚公爵夫人,在瑞典和挪威国王,公主的Leiningen;大公夫人玛丽费奥多罗芙娜皇后,丹麦王储和公爵夫人的因弗内斯。

In the Grand Duchy of Eric Chan's wise leadership and tireless struggle, the Grand Duke of Sacred Land finally is establishment.

在圣克雷曼大公埃里克陈的英明领导与不懈抗争下,圣克雷曼大公国最终建立。

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