"Understanding the limits of computation is as important as expanding its capabilities."
理解计算的极限与扩展其能力同样重要。
"The interplay between theory and practice in computer science is what drives the field forward."
计算机科学中理论与实践之间的相互作用是推动该领域前进的动力。
"In the study of computational complexity, we often find that the boundaries of what is possible are defined by the limits of our imagination."
在计算复杂性的研究中,我们常常发现可能的边界是由我们想象力的极限定义的。
"Theoretical insights can lead to practical breakthroughs, bridging the gap between abstract ideas and real-world applications."
理论洞察可以带来实际突破,弥合抽象思想与现实应用之间的差距。
"Innovation in algorithms often comes from looking at old problems in new ways."
算法的创新往往来自于以新的方式看待旧问题。
"The pursuit of knowledge in computer science is a journey through a landscape of infinite possibilities."
在计算机科学中追求知识,是在无限可能性的风景中旅行。
"Complexity theory teaches us that not all problems are created equal; some are inherently harder than others."
复杂性理论告诉我们,并非所有问题都是平等的;有些问题本质上比其他问题更难。
"The beauty of mathematics in computer science lies in its ability to model and solve real-world problems with abstract concepts."
计算机科学中数学的美在于它能够用抽象概念建模和解决现实世界的问题。
"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;它常常带来效率。
"Theoretical computer science is not just about solving problems, but about understanding the nature of computation itself."