P Versus NP Problem - Consequences of The Resolution of The Problem

Consequences of The Resolution of The Problem

One of the reasons the problem attracts so much attention is the consequences of the answer. Either direction of resolution would advance theory enormously, and perhaps have huge practical consequences as well.

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Famous quotes containing the words consequences of the, consequences of, consequences, resolution and/or problem:

    We are still barely conscious of how harmful it is to treat children in a degrading manner. Treating them with respect and recognizing the consequences of their being humiliated are by no means intellectual matters; otherwise, their importance would long since have been generally recognized.
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    The middle years are ones in which children increasingly face conflicts on their own,... One of the truths to be faced by parents during this period is that they cannot do the work of living and relating for their children. They can be sounding boards and they can probe with the children the consequences of alternative actions.
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    The horror of Gandhi’s murder lies not in the political motives behind it or in its consequences for Indian policy or for the future of non-violence; the horror lies simply in the fact that any man could look into the face of this extraordinary person and deliberately pull a trigger.
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    Unfortunately, many things have been omitted which should have been recorded in our journal; for though we made it a rule to set down all our experiences therein, yet such a resolution is very hard to keep, for the important experience rarely allows us to remember such obligations, and so indifferent things get recorded, while that is frequently neglected. It is not easy to write in a journal what interests us at any time, because to write it is not what interests us.
    Henry David Thoreau (1817–1862)

    Like the effects of industrial pollution ... the AIDS crisis is evidence of a world in which nothing important is regional, local, limited; in which everything that can circulate does, and every problem is, or is destined to become, worldwide.
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