S3E2. "复杂度动物园"中的"俄罗斯套娃" episode artwork

EPISODE · Jun 16, 2019 · 13 MIN

S3E2. "复杂度动物园"中的"俄罗斯套娃"

from 大老李聊数学(全集)

算法复杂度分类多达数百种,但它们之间许多有包含的关系。以下这组复杂度,从简单到复杂,有点像俄罗斯套娃,层层嵌套:它们是:P问题,NP问题,PH问题,多项式空间问题,指数时间问题。其中之前的每一个都是后面的复杂度的子集,但除NP与PH问题外,其他每两种复杂度之间是否是“真子集”(即,是否可以排除“等于”)关系,都还未证明。以下这组复杂度,也构成一组“套娃”:P问题,BPP问题,BQP问题。科学家认为BQP问题,即量子计算机能快速处理的问题,虽然含有很多NP问题,但与NP问题互不包含。但这仍然是待证明的领域。

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S3E2. "复杂度动物园"中的"俄罗斯套娃"

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