A formula of calculating the largest intrinsic ideals in a class of ideals of finite codimension in local bifurcation problems with one state variable is given.

本文给出单状态变量的局部分岔问题中一类具有有限余维数的理想中最大内蕴理想的计算公式并且得到关于内蕴理想的两个充分必要条件。

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And give general forms of every class of degenerate operator algebras by the representations of this algebra and constructions of symmetric ideals.

并通过算子代数的分解以及对称理想的结构给出各类退化算子代数的一般形式。

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Thus, "American Dream" has become a national and eternal echoes of America in which ideals can be realized by people's diligence, courage and perseverance, regardless of their race, gender and class.

从此，＂美国梦＂便成了该民族永恒的话题。＂美国梦＂让人们相信在美国，不论种族、性别和阶级，只要不懈努力就有可能获得成功，人们必须通过自己的决心、勇气以及勤奋实现理想。

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In the father-figure of the emperor, Roth wanted to find a principle of order amid the decline of old ideals and the growing violence of class and national conflict.

ECONOMIST: Modern fiction

In none of these cautionary examples did the free market do the three things businessmen say it always does: weaken the coercive power of the state, create a democratically minded middle class, or expose the populace to liberal ideals from abroad.

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