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關(guān)于理解的名人名言哲理格言警句語(yǔ)錄 - 每日文摘
理解
數(shù)學(xué)不僅僅是關(guān)于數(shù)字、方程、計(jì)算或算法：它是關(guān)于理解的。
Mathematics is not just about numbers, equations, computations, or algorithms: it is about understanding.
挑戰(zhàn)不僅在于收集數(shù)據(jù)，還在于以改善生活的方式理解數(shù)據(jù)。
The challenge is not just to collect data, but to make sense of it in ways that improve lives.
理解就是感知模式。
To understand is to perceive patterns.
圖靈機(jī)的概念是我們理解計(jì)算的基礎(chǔ)。
The concept of a Turing machine is foundational to our understanding of computation.
計(jì)算復(fù)雜性的研究不僅僅是關(guān)于解決問題，還在于理解可計(jì)算性的極限。
The study of computational complexity 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問題的復(fù)雜性提供了一個(gè)強(qiáng)大的工具。
The concept of NP-completeness has provided a powerful tool for understanding the complexity of problems.
計(jì)算機(jī)科學(xué)中的挑戰(zhàn)不僅僅是解決問題，而是理解為什么它們首先是問題。
The challenge in computer science is not just to solve problems, but to understand why they are problems in the first place.
計(jì)算復(fù)雜性的概念不僅僅是我們能計(jì)算多快，還包括理解什么是可以計(jì)算的極限。
The concept of computational complexity is not just about how fast we can compute, but also about understanding the limits of what can be computed.
理解問題是解決問題的一半。
Understanding a problem is half the solution.
計(jì)算機(jī)科學(xué)中真正的挑戰(zhàn)不是編寫程序，而是理解計(jì)算的本質(zhì)。
The real challenge in computer science is not to write programs, but to understand the nature of computation.
理解計(jì)算的極限與擴(kuò)展其能力同樣重要。
"Understanding the limits of computation is as important as expanding its capabilities."
理論計(jì)算機(jī)科學(xué)不僅僅是解決問題，更是理解計(jì)算本身的本質(zhì)。
"Theoretical computer science is not just about solving problems, but about understanding the nature of computation itself."
計(jì)算安全不僅僅是建立防護(hù)墻，而是要理解威脅的全貌。
Security in computing is not just about building walls, but about understanding the landscape of threats.
量子算法的發(fā)展需要對(duì)量子力學(xué)和計(jì)算機(jī)科學(xué)的深入理解。
The development of quantum algorithms requires a deep understanding of both quantum mechanics and computer science.
量子算法的發(fā)現(xiàn)從根本上改變了我們對(duì)計(jì)算復(fù)雜性的理解。
The discovery of quantum algorithms has fundamentally changed our understanding of computational complexity.
計(jì)算學(xué)習(xí)理論為理解機(jī)器學(xué)習(xí)算法的能力和局限性提供了一個(gè)數(shù)學(xué)框架。
"Computational learning theory provides a mathematical framework for understanding the capabilities and limitations of machine learning algorithms."
未來(lái)屬于那些理解用更少做更多是富有同情心、繁榮和持久的人。
The future belongs to those who understand that doing more with less is compassionate, prosperous, and enduring.
形式系統(tǒng)的發(fā)展徹底改變了我們對(duì)數(shù)學(xué)的理解。
The development of formal systems has revolutionized our understanding of mathematics.
計(jì)算的研究對(duì)于理解可計(jì)算性的極限至關(guān)重要。
The study of computation is essential to understanding the limits of what can be computed.
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