Is this a correct understanding of proving something is NP Complete?

这是一个正确的理解证明是NP完整吗？

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To comprehend these standards is important for a correct understanding to the doctrine of Confuciuss benevolence.

了解和掌握这两个标准体系，对于正确理解孔子的仁学观点至为重要。

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Without a correct understanding of this, it will be difficult to draw lessons and avoid similar crises in the future.

对此如果没有正确认识，就难以吸取教训、避免今后发生同样的危机。

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Am I correct in understanding him this way?

WHITEHOUSE: Press Briefing

Every dietary habit, creed, religion, and understanding, correct or not, of food converges on a company like this.

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Understanding that unemployment tends to be a lagging indicator and if economists are correct and we are only halfway through this recession, the unemployment picture should worsen considerably.

FORBES: Magazine Article