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理解
在数学中,你并不理解事物。你只是习惯了它们。
In mathematics, you don't understand things. You just get used to them.
戴纳·斯科特
自动机和形式语言的研究对于理解计算的极限是基础性的。
The study of automata and formal languages is fundamental to understanding the limits of computation.
迈克尔·拉宾
如果你想理解一个系统,试着改变它。
If you want to understand a system, try changing it.
莱斯利·兰波特
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
计算机科学的挑战不仅在于构建更快的机器,更在于理解计算可能性的基本结构。
The challenge of computer science is not just to build faster machines, but to understand the very fabric of computational possibility.
莱昂尼德·莱文
计算理论的美在于它能够将世界的复杂性抽象成可管理和可理解的模型。
The beauty of computational theory lies in its ability to abstract the complexities of the world into manageable and understandable models.
莱昂尼德·莱文
计算的本质不仅在于符号的操作,更在于对这些操作所代表意义的深刻理解。
The essence of computation is not just in the manipulation of symbols, but in the profound understanding of what those manipulations represent.
莱昂尼德·莱文
要理解递归,首先必须理解递归。
To understand recursion, one must first understand recursion.
罗伯特·塔扬
计算的未来在于理解和利用算法的力量。
The future of computing lies in understanding and harnessing the power of algorithms.
约翰·霍普克罗夫特
计算机科学中的真正挑战不是编写程序,而是理解计算的本质。
The real challenge in computer science is not to write programs, but to understand the nature of computation.
约翰·霍普克罗夫特
在计算学习理论中,挑战不仅仅是学习,而是理解学习是如何可能的。
"In computational learning theory, the challenge is not just to learn, but to understand how learning is possible."
桑杰夫·阿罗拉
理解计算的极限与推动其边界同样重要。
"Understanding the limits of computation is as important as pushing its boundaries."
桑杰夫·阿罗拉
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
量子计算的发展将需要对物理学和计算机科学的深刻理解。
The development of quantum computing will require a deep understanding of both physics and computer science.
彼得·肖尔
在计算学习的背景下,“可能近似正确”(PAC)学习的概念为理解学习算法的效率和可行性提供了一个框架。
In the context of computational learning, the concept of 'probably approximately correct' (PAC) learning provides a framework for understanding the efficiency and feasibility of learning algorithms.
莱斯利·瓦利安特
学习不仅仅是寻找模式,而是理解生成这些模式的潜在机制。
Learning is not just about finding patterns, but about understanding the underlying mechanisms that generate those patterns.
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
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