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cover of episode In Computers, Memory Is More Useful Than Time

In Computers, Memory Is More Useful Than Time

2025/6/3
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Quanta Science Podcast

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Ben Brubaker
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Ben Brubaker: 我认为在计算机科学中,理解空间和时间之间的权衡至关重要。就像我整理衣物的例子一样,我可以选择将所有衣服堆在一起以节省空间,但这会花费我大量时间来找到想要的衣服。或者,我可以将每件衣服都放在单独的盒子里,并按字母顺序排列,这样可以立即找到想要的衣服,但这会占用我房间的大量空间。这两种方法代表了空间和时间之间的基本权衡。在计算机科学中,我们也在不断寻找最佳算法,即在时间和空间之间取得最佳平衡的算法。我认为,空间比时间更强大,因为空间可以重复使用,而时间不能。就像我用完一个鞋盒后可以将其用于其他用途,但2023年过去后就无法再使用一样。因此,我认为在解决问题时,空间是一种更宝贵的资源。当然,时间和空间都需要,但空间在某种程度上更具优势。最近的研究表明,少量空间可以解决所有需要大量时间的问题,这进一步证实了空间的重要性。总而言之,我认为理解空间和时间之间的权衡是计算机科学的核心概念,并且在算法设计和优化中起着至关重要的作用。

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This chapter uses the analogy of organizing clothes to illustrate the trade-off between time and space in computation. Finding a sweater in a pile is fast but requires much time; organizing clothes into labeled boxes is slow but provides quick access.
  • Trade-off between time and space in computation
  • Organizing clothes analogy

Shownotes Transcript

One computer scientist’s “stunning” proof is the first progress in 50 years on one of the most famous questions in computer science.

This is the third episode of our new weekly series The Quanta Podcast, hosted by Quanta Magazine editor in chief Samir Patel. This week's guest is Ben Brubaker; he recently published "For Algorithms, a Little Memory Outweighs a Lot of Time.”

(If you've been a fan of Quanta Science Podcast, it will continue as 'audio edition episodes' in this same feed every other week.)

Historical Recording) © Jack Copeland and Jason Long