桑杰夫·阿羅拉
近似算法的理論突破
"Theoretical insights often lead to practical breakthroughs, bridging the gap between abstract ideas and real-world applications."
理論見解常常導(dǎo)致實(shí)際突破，彌合抽象思想與現(xiàn)實(shí)世界應(yīng)用之間的差距。
"The quest for efficient algorithms is a journey through the landscape of mathematical possibility."
"The quest for efficient algorithms is a journey through the landscape of mathematical possibility."
尋求高效算法的旅程是穿越數(shù)學(xué)可能性景觀的旅程。
"In computational learning theory, the challenge is not just to learn, but to understand how learning is possible."
在計(jì)算學(xué)習(xí)理論中，挑戰(zhàn)不僅僅是學(xué)習(xí)，而是理解學(xué)習(xí)是如何可能的。
"The interplay between mathematics and computer science is a rich source of innovation."
數(shù)學(xué)和計(jì)算機(jī)科學(xué)之間的相互作用是創(chuàng)新的豐富源泉。
"Understanding the limits of computation is as important as pushing its boundaries."
理解計(jì)算的極限與推動(dòng)其邊界同樣重要。
"The study of randomness in computation has led to some of the most profound insights in computer science."
計(jì)算中隨機(jī)性的研究帶來了計(jì)算機(jī)科學(xué)中一些最深刻的見解。
"Approximation algorithms are a testament to the power of compromise in achieving practical solutions."
近似算法證明了在實(shí)現(xiàn)實(shí)際解決方案中妥協(xié)的力量。
"The beauty of computational complexity lies in its ability to classify problems based on their inherent difficulty."
計(jì)算復(fù)雜性的美在于它能夠根據(jù)問題的固有難度對(duì)問題進(jìn)行分類。
"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(xué)上的——它常常帶來效率。
"Theoretical computer science is not just about solving problems; it's about understanding the nature of computation itself."
理論計(jì)算機(jī)科學(xué)不僅僅是解決問題；它是關(guān)于理解計(jì)算本身的本質(zhì)。