本文引入了概念强稠密理想，得到了极小强稠密理想存在的等价条件。

This article introduces the concept of a strongly dense ideal in the theory of parallel decomposable lattices.

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也许，他们已经按照这种模式训练了好几年：他们的目标不与任何特殊时段或者赛季相联系，而仅仅是作为一个理想存在，并且这个理想与他们真实的训练无关。

Perhaps, they have been following this pattern for years: their goals are not related to any particular time period or race but just exist as ideals disconnected from their actual training.

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然而，在该修正案存在的头80年里，最高法院对该修正案的解释背叛了这种平等的理想。

Yet for the first eight decades of the amendment's existence, the Supreme Court's interpretation of the amendment betrayed this ideal of equality.

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That they exist is a proof that American ideals are not the tawdry pretenses they are so often accused of being.

或许这类人的存在,正证明了美国式理想并非无可挑剔,或者说它也在经受着现实的折磨，“

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and when he lays out the ideal society in his view in the Republic, we find there are multiple rulers.

他在《理想国》一书中论述了心目中的,理想社会,我们从中能看出精英集团的存在

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We don't have the ideal world that I just described, but to some extent we do, so we want to think about diversifying in this world.

现实世界并不像我刚才说的那么理想，但在某种程度上这种现象还是存在的,所以同样也要考虑多元化的问题。

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