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理论
理论计算机科学不仅仅是解决问题；它是关于理解计算本身的本质。
"Theoretical computer science is not just about solving problems; it's about understanding the nature of computation itself."
桑杰夫·阿罗拉
学习算法的设计应同时受到理论见解和实践考虑的指导。
The design of learning algorithms should be guided by both theoretical insights and practical considerations.
莱斯利·瓦利安特
在计算学习理论中，我们试图理解从数据中学习的基本原理。
In computational learning theory, we seek to understand the fundamental principles that govern learning from data.
莱斯利·瓦利安特
计算理论的美在于其抽象和概括的能力，将具体问题转化为通用解决方案。
The beauty of computational theory lies in its ability to abstract and generalize, turning specific problems into universal solutions.
曼纽尔·布卢姆
NP中的每个问题都可以归约为可满足性问题，这是计算复杂性理论的基石。
Every problem in NP can be reduced to the satisfiability problem, which is the cornerstone of computational complexity theory.
理查德·卡普
计算复杂性研究是通过数理逻辑和算法理论领域的旅程。
The study of computational complexity is a journey through the landscape of mathematical logic and algorithmic theory.
理查德·卡普
NP完全性不仅仅是一个理论上的好奇心；它对实际计算有着深远的影响。
NP-completeness is not just a theoretical curiosity; it has profound implications for practical computing.
理查德·卡普
计算机科学的挑战在于弥合理论模型与实际应用之间的差距。
The challenge in computer science is to bridge the gap between the theoretical models and practical applications.
莱斯利·瓦利安特
理论计算机科学中的挑战不仅仅是解决问题，而是理解问题解决的本质。
The challenge in theoretical computer science is not just to solve problems, but to understand the nature of problem-solving itself.
康斯坦丁诺斯·达斯卡拉基斯
计算机科学的未来将由那些能够无缝融合数学理论与计算实践的人塑造。
The future of computer science will be shaped by those who can seamlessly blend mathematical theory with computational practice.
苏布拉·苏雷什
理论计算机科学与应用数学之间的协同作用带来了曾经被认为不可能的突破。
The synergy between theoretical computer science and applied mathematics has led to breakthroughs that were once thought impossible.
苏布拉·苏雷什
理论计算机科学的美在于它能够将抽象的数学概念与实际的计算问题联系起来。
The beauty of theoretical computer science lies in its ability to connect abstract mathematical concepts with practical computational problems.
马达夫·瓦拉丹
在理论计算机科学的领域里，我们常常发现最深刻的见解来自于最简单的想法。
In the realm of theoretical computer science, we often find that the most profound insights come from the simplest ideas.
马达夫·瓦拉丹
可能近似正确（PAC）学习的概念在计算学习理论中具有基础性意义。
The concept of probably approximately correct (PAC) learning has been foundational in computational learning theory.
莱斯利·瓦利安特
计算学习理论中的挑战是理解学习算法的能力和局限性。
The challenge in computational learning theory is to understand the capabilities and limitations of learning algorithms.
莱斯利·瓦利安特
理论计算机科学是一个领域，其中深刻的数学见解导致了实用的计算工具。
"Theoretical computer science is a field where deep mathematical insights lead to practical computational tools."
什穆埃尔·温伯格
理论计算机科学中的挑战不仅仅是解决问题，而是理解为什么它们难以解决。
"The challenge in theoretical computer science is not just to solve problems, but to understand why they are hard to solve."
什穆埃尔·温伯格
理论计算机科学不仅仅是关于算法和数据结构；它是关于理解计算的基本限制。
"Theoretical computer science is not just about algorithms and data structures; it's about understanding the fundamental limits of computation."
什穆埃尔·温伯格
形式语言和自动机的研究对于理解计算机科学的理论基础至关重要。
The study of formal languages and automata is essential for understanding the theoretical underpinnings of computer science.
杰弗里·乌尔曼
计算理论为理解什么可以计算、什么不能计算提供了基础。
The theory of computation provides a foundation for understanding what can and cannot be computed.
杰弗里·乌尔曼
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