"Theoretical insights often lead to practical breakthroughs, bridging the gap between abstract ideas and real-world applications."
理论见解常常导致实际突破，弥合抽象思想与现实世界应用之间的差距。
"The quest for efficient algorithms is a journey through the landscape of mathematical possibility."
"In computational learning theory, the challenge is not just to learn, but to understand how learning is possible."
在计算学习理论中，挑战不仅仅是学习，而是理解学习是如何可能的。
"The interplay between mathematics and computer science is a rich source of innovation."
数学和计算机科学之间的相互作用是创新的丰富源泉。
"Understanding the limits of computation is as important as pushing its boundaries."
理解计算的极限与推动其边界同样重要。
"The study of randomness in computation has led to some of the most profound insights in computer science."
计算中随机性的研究带来了计算机科学中一些最深刻的见解。
"Approximation algorithms are a testament to the power of compromise in achieving practical solutions."
近似算法证明了在实现实际解决方案中妥协的力量。
"The beauty of computational complexity lies in its ability to classify problems based on their inherent difficulty."
计算复杂性的美在于它能够根据问题的固有难度对问题进行分类。
"In the realm of algorithms, elegance is not just aesthetic—it often leads to efficiency."
在算法的领域，优雅不仅仅是美学上的——它常常带来效率。
"Theoretical computer science is not just about solving problems; it's about understanding the nature of computation itself."