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约翰·霍普克罗夫特
算法与计算理论先驱
约翰·霍普克罗夫特是算法与计算理论领域的先驱，他在图论、自动机理论和计算复杂性方面的贡献对计算机科学的基础理论产生了深远影响。
最终，一个理论的价值不在于它的复杂性，而在于它解释和预测的能力。
In the end, the value of a theory is not in its complexity, but in its ability to explain and predict.
约翰·霍普克罗夫特
In the end, the value of a theory is not in its complexity, but in its ability to explain and predict.
最终，一个理论的价值不在于它的复杂性，而在于它解释和预测的能力。
约翰·霍普克罗夫特
最深刻的发现往往来自最简单的观察。
The most profound discoveries often come from the simplest observations.
约翰·霍普克罗夫特
The most profound discoveries often come from the simplest observations.
最深刻的发现往往来自最简单的观察。
约翰·霍普克罗夫特
要真正理解一个问题，你必须首先将其简化为其核心本质。
To truly understand a problem, you must first simplify it to its core essence.
约翰·霍普克罗夫特
To truly understand a problem, you must first simplify it to its core essence.
要真正理解一个问题，你必须首先将其简化为其核心本质。
约翰·霍普克罗夫特
计算的未来不是由硬件决定的，而是由驱动它的算法决定的。
The future of computing will be shaped not by hardware, but by the algorithms that drive it.
约翰·霍普克罗夫特
The future of computing will be shaped not by hardware, but by the algorithms that drive it.
计算的未来不是由硬件决定的，而是由驱动它的算法决定的。
约翰·霍普克罗夫特
算法的美不在于它们的复杂性，而在于它们的简洁和优雅。
The beauty of algorithms lies not in their complexity, but in their simplicity and elegance.
约翰·霍普克罗夫特
The beauty of algorithms lies not in their complexity, but in their simplicity and elegance.
算法的美不在于它们的复杂性，而在于它们的简洁和优雅。
约翰·霍普克罗夫特
在计算机科学中，我们站在巨人的肩膀上，但我们也必须愿意质疑他们的假设。
In computer science, we stand on the shoulders of giants, but we must also be willing to question their assumptions.
约翰·霍普克罗夫特
In computer science, we stand on the shoulders of giants, but we must also be willing to question their assumptions.
在计算机科学中，我们站在巨人的肩膀上，但我们也必须愿意质疑他们的假设。
约翰·霍普克罗夫特
创新的关键不仅在于跳出框框思考，而是要意识到框框本身就是一个幻觉。
The key to innovation is not just to think outside the box, but to realize that the box itself is an illusion.
约翰·霍普克罗夫特
The key to innovation is not just to think outside the box, but to realize that the box itself is an illusion.
创新的关键不仅在于跳出框框思考，而是要意识到框框本身就是一个幻觉。
约翰·霍普克罗夫特
教育不是注满一桶水，而是点燃一把火。
Education is not the filling of a pail, but the lighting of a fire.
约翰·霍普克罗夫特
Education is not the filling of a pail, but the lighting of a fire.
教育不是注满一桶水，而是点燃一把火。
约翰·霍普克罗夫特
计算机科学中真正的挑战不是编写程序，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
最令人兴奋的突破往往来自跨学科研究。
The most exciting breakthroughs often come from interdisciplinary research.
约翰·霍普克罗夫特
The most exciting breakthroughs often come from interdisciplinary research.
最令人兴奋的突破往往来自跨学科研究。
约翰·霍普克罗夫特
合作在研究中至关重要；没有人能独自解决大问题。
Collaboration is essential in research; no one can solve big problems alone.
约翰·霍普克罗夫特
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