The challenge in computer science is not just to solve problems, but to solve them in a way that is both efficient and elegant.

计算机科学中的挑战不仅仅是解决问题，而是以一种既高效又优雅的方式解决问题。

The intersection of mathematics and computer science is where some of the most exciting discoveries are made.

数学和计算机科学的交叉点是一些最激动人心的发现产生的地方。

The development of efficient algorithms is not just a theoretical exercise; it has practical implications for the way we live and work.

高效算法的开发不仅仅是一个理论练习；它对我们的生活方式和工作方式有实际影响。

The key to solving complex problems is often to find the right abstraction that simplifies the problem without losing its essential features.

解决复杂问题的关键通常是找到正确的抽象，这种抽象可以在不丢失问题本质特征的情况下简化问题。

The study of automata and formal languages is fundamental to understanding the limits of computation.

自动机和形式语言的研究对于理解计算的极限是基础性的。

The power of randomness in algorithms is that it can help us find solutions that are difficult to discover through deterministic methods.

算法中随机性的力量在于它可以帮助我们找到通过确定性方法难以发现的解决方案。

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.

在计算机科学中，我们经常处理那些过于复杂而无法直接解决的问题，因此我们将它们分解成更小、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.

数学的美在于它允许我们从物理世界中抽象出来，专注于基本原理。

A good algorithm is like a sharp knife—it does exactly what it is supposed to do with a minimum of effort.

一个好的算法就像一把锋利的刀——它以最小的努力准确地完成它应该做的事情。

The concept of nondeterminism in computation is one of the most important ideas in computer science.

非确定性计算的概念是计算机科学中最重要的思想之一。