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问题
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。
"The beauty of mathematics in computer science lies in its ability to model and solve real-world problems with abstract concepts."
桑杰夫·阿罗拉
理论计算机科学不仅仅是解决问题,更是理解计算本身的本质。
"Theoretical computer science is not just about solving problems, but about understanding the nature of computation itself."
桑杰夫·阿罗拉
量子计算不仅仅是关于速度;它是关于解决经典计算机难以处理的问题。
Quantum computing is not just about speed; it's about solving problems that are intractable for classical computers.
彼得·肖尔
Shor算法展示了量子计算机可以比经典计算机指数级更快地解决某些问题。
Shor's algorithm demonstrates that quantum computers can solve certain problems exponentially faster than classical computers.
彼得·肖尔
计算学习理论中的一个关键见解是,学习问题的复杂性由假设空间的复杂性和可用数据的数量决定。
"A key insight in computational learning theory is that the complexity of a learning problem is determined by the complexity of the hypothesis space and the amount of data available."
莱斯利·瓦利安特
计算机科学中的挑战不仅仅是解决问题,而是以一种既高效又优雅的方式解决问题。
The challenge in computer science is not just to solve problems, but to solve them in a way that is both efficient and elegant.
迈克尔·拉宾
解决复杂问题的关键通常是找到正确的抽象,这种抽象可以在不丢失问题本质特征的情况下简化问题。
The key to solving complex problems is often to find the right abstraction that simplifies the problem without losing its essential features.
迈克尔·拉宾
在计算机科学中,我们经常处理那些过于复杂而无法直接解决的问题,因此我们将它们分解成更小、更易管理的部分。
In computer science, we often deal with problems that are too complex to solve directly, so we break them down into smaller, more manageable parts.
迈克尔·拉宾
追求知识是一段永无止境的旅程,每一个发现都为新的问题打开了大门。
The pursuit of knowledge is a journey that never ends, and each discovery opens the door to new questions.
安德鲁·姚
计算复杂性理论的发展向我们展示了并非所有问题都是平等的。
The development of computational complexity theory has shown us that not all problems are created equal.
安德鲁·姚
要解决一个问题,首先必须理解它的本质,然后找到正确的工具来处理它。
To solve a problem, one must first understand its nature and then find the right tools to tackle it.
安德鲁·姚
可归约性的概念对于理解不同计算问题之间的关系至关重要。
The concept of reducibility is central to understanding the relationships between different computational problems.
斯蒂芬·库克
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。
The beauty of computational complexity lies in its ability to classify problems based on their inherent difficulty.
斯蒂芬·库克
计算理论不仅仅是关于解决问题,还涉及理解可计算性的极限。
The theory of computation is not just about solving problems, but also about understanding the limits of what can be computed.
斯蒂芬·库克
NP完全性的概念为理解计算问题的复杂性提供了一个强大的工具。
The concept of NP-completeness has provided a powerful tool for understanding the complexity of computational problems.
斯蒂芬·库克
P与NP问题是计算机科学中最重要的一个问题之一。
The P versus NP problem is one of the most important problems in computer science.
斯蒂芬·库克
算法设计的艺术不仅在于解决问题,更在于发现思考问题的新方式。
The art of algorithm design is not just in solving problems, but in discovering new ways to think about them.
莱昂尼德·莱文
算法的真正力量不在于它的速度或效率,而在于它揭示所解决问题隐藏结构的能力。
The true power of an algorithm is not in its speed or efficiency, but in its ability to reveal the hidden structures of the problems it addresses.
莱昂尼德·莱文
每个算法都在讲述一个故事,不仅是关于它解决的问题,还有其创造者的智慧和创造力。
Every algorithm tells a story, not just of the problem it solves, but of the ingenuity and creativity of its creator.
莱昂尼德·莱文
解决复杂问题的关键在于将它们分解成更简单的问题。
The key to solving complex problems is breaking them down into simpler ones.
罗伯特·塔扬
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