"Understanding the limits of computation is as important as expanding its capabilities."
理解計算的極限與擴展其能力同樣重要。
"The interplay between theory and practice in computer science is what drives the field forward."
計算機科學中理論與實踐之間的相互作用是推動該領(lǐng)域前進的動力。
"In the study of computational complexity, we often find that the boundaries of what is possible are defined by the limits of our imagination."
在計算復(fù)雜性的研究中,我們常常發(fā)現(xiàn)可能的邊界是由我們想象力的極限定義的。
"Theoretical insights can lead to practical breakthroughs, bridging the gap between abstract ideas and real-world applications."
理論洞察可以帶來實際突破,彌合抽象思想與現(xiàn)實應(yīng)用之間的差距。
"Innovation in algorithms often comes from looking at old problems in new ways."
算法的創(chuàng)新往往來自于以新的方式看待舊問題。
"The pursuit of knowledge in computer science is a journey through a landscape of infinite possibilities."
在計算機科學中追求知識,是在無限可能性的風景中旅行。
"Complexity theory teaches us that not all problems are created equal; some are inherently harder than others."
復(fù)雜性理論告訴我們,并非所有問題都是平等的;有些問題本質(zhì)上比其他問題更難。
"The beauty of mathematics in computer science lies in its ability to model and solve real-world problems with abstract concepts."
計算機科學中數(shù)學的美在于它能夠用抽象概念建模和解決現(xiàn)實世界的問題。
"In the realm of algorithms, elegance is not just aesthetic; it often leads to efficiency."
在算法的領(lǐng)域,優(yōu)雅不僅僅是美學;它常常帶來效率。
"Theoretical computer science is not just about solving problems, but about understanding the nature of computation itself."
理論計算機科學不僅僅是解決問題,更是理解計算本身的本質(zhì)。