查询词典 greatest common submodule

The matrix =( xi, xjp having the e-th power of the greatest common P-divisorp of xi and xj as its-entry is called the e-th power GCD matrix on S. The matrix = having the e-th power of the least common P-multiple p of xi and xj as its-entry is called the e-th power LCM matrix on 5. We obtained the following results:(1) is nonsingular for any set S;(2) If S is an FC set, then the determined of has formula Det =Jpe(x1)...Jpe, where the function Jpe is the generalized Jordan totient function;(3) A formula of the inverse of is given when S is an FC set;(4) If S is an FC set, then |.

以_P的e次方为第i行j列元素的矩阵称为定义在S上的e次幂GCD矩阵，记为；以_P的e次方为第i行j列元素的矩阵称为S上的e次幂LCM矩阵，记为，我们得到了如下结果：①定义在集合S上的e次幂GCD矩阵是非奇异的；②若S是R上的FC集，则S上的e次幂GCD矩阵的行列式Det=J_p~e(x_1)J_P~e(x_2)…，J_p~e，其中J_p~e为R上的Jordan函数；③当S为FC集时，得到了的逆矩阵~-1的表达式；④证明了当S是FC集时，整除，即等于与R上另一个矩阵的乘积。

Our greatest danger is that, in the great leap from slavery to freedom, we may overlook the fact that the masses of us are to live by the productions of our hands and fail to keep in mind that we shall prosper in the pro- portion as we learn to dignify and glorify common labor, and put brains and skill into the common occupations of life; shall prosper in proportion as we learn to draw the line between the superficial and the substantial, the ornamental gewgaws of life and the useful.

我们面临的最大危险是，从奴隶制到自由这一飞跃过程中，我们可能会忽视这一点：我们大部份人靠手工生産谋生。

Purcell was one of the greatest composers of the Baroque period and one of the greatest of all English composers.

普塞尔是巴洛克时期最伟大的作曲家之一，他也是所有最伟大的英国作曲家之一。

Benjamin Franklin You are your greatest enemy if you are a coward, but if you are brave, you are your greatest friend.

如果你是懦夫，你是自己最大的敌人；如果你是勇敢的人，你是自己最好的朋友。

Specifically, can Bentham's goal of "the greatest good for the greatest number" be realized?

明确地说，边泌的目标：「最大数目的最大好处」能否实现？

Jeremy Bentham (1748 - 1832): The greatest happiness of the greatest number is the foundation of morals and legislation.

"杰里米边沁（ 1748 -1 832）说："最大的幸福最大数量的基础是道德和法律。

To return to Bentham: he advocated, as the basis of morals,"the greatest happiness of the greatest number."

回到边泌，我们看到：他提倡将"为最大多数的人谋求最大的幸福"作为道德规范的基础。

Nijinsky may have been the greatest Spectre de la Rose, Nureyev the greatest Corsair, but these two candles pale in the light of Jackson's blazing star.

尼金斯基也许是最出色的玫瑰花魂，纽瑞耶夫是最杰出的海盗，可是这两盏烛光在杰克逊的耀眼光芒下显得格外苍白。

For Valery, Goethe is a "courtier, confident, minister, a diligent official, a poet, collector, and a naturalist" at the same time; the great, in Germany perhaps the greatest,"apologist of the world of Appearances…In the evening of his days, in the heart of Europe, himself the center of attraction and admiration of all intelligent people," Goethe probably thought of Napoleon,"perhaps his greatest memory, whose look still lingered in his eyes."

对瓦雷里来说，歌德是位"自信满满的郡级大臣，勤政爱民的政府官员，是位博学的诗人，兴趣广泛的收藏家，同时，也是一位自然爱好者"；歌德还是位伟大的——或许，是德国最伟大的——"辩手，为现实世界孜孜不倦的辩护……在歌德晚年，在欧洲人心中，他就像磁场一样，吸引着所有智者的目光，让人们对他顶礼膜拜。"而或许，当歌德忆起拿破仑时，他会说"他的记忆，他的神情仍然在我的脑海中徘徊"。

He knew it was a desperate gamble, but recalled Clausewitz's principle:"He who is hard pressed will regard the greatest daring as the greatest wisdom."

希特勒知道那是一场大赌博，不过他想到了克劳塞维茨教诲："超常重压下，大勇即为大智。"

It was just a normal day of school

那只是上学的普通一天

Which is a very good reference in this issue.

这是一个在这个问题上很好的参考。