The exploration of computational complexity is a journey into the unknown, where each discovery opens new doors.
探索計(jì)算復(fù)雜性是一段進(jìn)入未知的旅程,每一次發(fā)現(xiàn)都會(huì)打開(kāi)新的門(mén)。
The concept of reducibility is central to understanding the relationships between different computational problems.
可歸約性的概念對(duì)于理解不同計(jì)算問(wèn)題之間的關(guān)系至關(guān)重要。
The development of efficient algorithms is crucial for the advancement of technology and science.
高效算法的開(kāi)發(fā)對(duì)于技術(shù)和科學(xué)的進(jìn)步至關(guān)重要。
The study of algorithms is as much about creativity as it is about logic and mathematics.
算法研究既關(guān)乎邏輯和數(shù)學(xué),也關(guān)乎創(chuàng)造力。
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(wèn)題的固有難度對(duì)問(wèn)題進(jìn)行分類。
The theory of computation is not just about solving problems, but also about understanding the limits of what can be computed.
計(jì)算理論不僅僅是關(guān)于解決問(wèn)題,還涉及理解可計(jì)算性的極限。
The concept of NP-completeness has provided a powerful tool for understanding the complexity of computational problems.
NP完全性的概念為理解計(jì)算問(wèn)題的復(fù)雜性提供了一個(gè)強(qiáng)大的工具。
A proof that P = NP would have profound implications for mathematics, cryptography, and algorithm design.
證明P=NP將對(duì)數(shù)學(xué)、密碼學(xué)和算法設(shè)計(jì)產(chǎn)生深遠(yuǎn)的影響。
The P versus NP problem is one of the most important problems in computer science.
P與NP問(wèn)題是計(jì)算機(jī)科學(xué)中最重要的一個(gè)問(wèn)題之一。