邁克爾·拉賓
隨機化算法的先驅
The challenge in computer science is not just to solve problems, but to solve them in a way that is both efficient and elegant.
計算機科學中的挑戰(zhàn)不僅僅是解決問題，而是以一種既高效又優(yōu)雅的方式解決問題。
The intersection of mathematics and computer science is where some of the most exciting discoveries are made.
數(shù)學和計算機科學的交叉點是一些最激動人心的發(fā)現(xiàn)產生的地方。
The development of efficient algorithms is not just a theoretical exercise; it has practical implications for the way we live and work.
高效算法的開發(fā)不僅僅是一個理論練習；它對我們的生活方式和工作方式有實際影響。
The key to solving complex problems is often to find the right abstraction that simplifies the problem without losing its essential features.
解決復雜問題的關鍵通常是找到正確的抽象，這種抽象可以在不丟失問題本質特征的情況下簡化問題。
The study of automata and formal languages is fundamental to understanding the limits of computation.
自動機和形式語言的研究對于理解計算的極限是基礎性的。
The power of randomness in algorithms is that it can help us find solutions that are difficult to discover through deterministic methods.
算法中隨機性的力量在于它可以幫助我們找到通過確定性方法難以發(fā)現(xiàn)的解決方案。
In computer science, we often deal with problems that are too complex to solve directly, so we break them down into smaller, more manageable parts.
在計算機科學中，我們經常處理那些過于復雜而無法直接解決的問題，因此我們將它們分解成更小、更易管理的部分。
The beauty of mathematics is that it allows us to abstract away from the physical world and focus on the underlying principles.
數(shù)學的美在于它允許我們從物理世界中抽象出來，專注于基本原理。
A good algorithm is like a sharp knife—it does exactly what it is supposed to do with a minimum of effort.
一個好的算法就像一把鋒利的刀——它以最小的努力準確地完成它應該做的事情。
The concept of nondeterminism in computation is one of the most important ideas in computer science.
The concept of nondeterminism in computation is one of the most important ideas in computer science.
非確定性計算的概念是計算機科學中最重要的思想之一。