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關于理解的名人名言哲理格言警句語錄 - 每日文摘
理解
在數學中，你并不理解事物。你只是習慣了它們。
In mathematics, you don't understand things. You just get used to them.
自動機和形式語言的研究對于理解計算的極限是基礎性的。
The study of automata and formal languages is fundamental to understanding the limits of computation.
如果你想理解一個系統，試著改變它。
If you want to understand a system, try changing it.
要解決一個問題，首先必須理解它的本質，然后找到正確的工具來處理它。
To solve a problem, one must first understand its nature and then find the right tools to tackle it.
可歸約性的概念對于理解不同計算問題之間的關系至關重要。
The concept of reducibility is central to understanding the relationships between different computational problems.
計算理論不僅僅是關于解決問題，還涉及理解可計算性的極限。
The theory of computation is not just about solving problems, but also about understanding the limits of what can be computed.
NP完全性的概念為理解計算問題的復雜性提供了一個強大的工具。
The concept of NP-completeness has provided a powerful tool for understanding the complexity of computational problems.
計算機科學的挑戰不僅在于構建更快的機器，更在于理解計算可能性的基本結構。
The challenge of computer science is not just to build faster machines, but to understand the very fabric of computational possibility.
計算理論的美在于它能夠將世界的復雜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.
計算的本質不僅在于符號的操作，更在于對這些操作所代表意義的深刻理解。
The essence of computation is not just in the manipulation of symbols, but in the profound understanding of what those manipulations represent.
要理解遞歸，首先必須理解遞歸。
To understand recursion, one must first understand recursion.
計算的未來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.
計算機科學中的真正挑戰不是編寫程序，而是理解計算的本質。
The real challenge in computer science is not to write programs, but to understand the nature of computation.
在計算學習理論中，挑戰不僅僅是學習，而是理解學習是如何可能的。
"In computational learning theory, the challenge is not just to learn, but to understand how learning is possible."
理解計算的極限與推動其邊界同樣重要。
"Understanding the limits of computation is as important as pushing its boundaries."
理論計算機科學不僅僅是解決問題；它是關于理解計算本身的本質。
"Theoretical computer science is not just about solving problems; it's about understanding the nature of computation itself."
量子計算的發展將需要對物理學和計算機科學的深刻理解。
The development of quantum computing will require a deep understanding of both physics and computer science.
在計算學習的背景下，“可能近似正確”（PAC）學習的概念為理解學習算法的效率和可行性提供了一個框架。
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.
學習不僅僅是尋找模式，而是理解生成這些模式的潛在機制。
Learning is not just about finding patterns, but about understanding the underlying mechanisms that generate those patterns.
在計算學習理論中，我們試圖理解從數據中學習的基本原理。
In computational learning theory, we seek to understand the fundamental principles that govern learning from data.
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