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发现
数学中的发现过程往往比结果本身更重要。
The process of discovery in mathematics is often more important than the result itself.
彼得·舒尔茨
在数学中,发现的旅程和目的地一样重要。
In mathematics, the journey of discovery is as important as the destination.
阿莱西奥·菲加利
发现的过程非常美丽。
The process of discovery is very beautiful.
玛丽亚姆·米尔扎哈尼
数学发现的过程不是关于到达目的地,而是关于旅程本身。
The process of mathematical discovery is not about reaching a destination, but about the journey itself.
塞德里克·维拉尼
数学发现的过程与发现本身同样重要。
The process of mathematical discovery is as important as the discovery itself.
弗拉基米尔·沃埃沃德斯基
在追求数学真理的过程中,我们常常发现更多的问题而非答案。
In the pursuit of mathematical truth, we often find more questions than answers.
弗拉基米尔·沃埃沃德斯基
在科学中最令人兴奋的短语,预示着新发现的,不是“我找到了!”而是“这有点奇怪……”
The most exciting phrase to hear in science, the one that heralds new discoveries, is not 'Eureka!' but 'That's funny...'
玛丽亚·斯皮罗普洛
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
在计算复杂性的研究中,我们常常发现可能的边界是由我们想象力的极限定义的。
"In the study of computational complexity, we often find that the boundaries of what is possible are defined by the limits of our imagination."
桑杰夫·阿罗拉
量子算法的发现从根本上改变了我们对计算复杂性的理解。
The discovery of quantum algorithms has fundamentally changed our understanding of computational complexity.
彼得·肖尔
机器学习的力量在于它能够发现数据中人类观察者不易立即察觉的模式和关系。
"The power of machine learning lies in its ability to discover patterns and relationships in data that are not immediately obvious to human observers."
莱斯利·瓦利安特
机器学习中的挑战不仅仅是发现数据中的模式,而是发现能够推广到新的、未见过的数据的模式。
"The challenge in machine learning is not just to find patterns in data, but to find patterns that generalize to new, unseen data."
莱斯利·瓦利安特
发现可能性的极限的唯一方法是超越它们进入不可能。
The only way to discover the limits of the possible is to go beyond them into the impossible.
约翰·麦卡锡
数学和计算机科学的交叉点是一些最激动人心的发现产生的地方。
The intersection of mathematics and computer science is where some of the most exciting discoveries are made.
迈克尔·拉宾
算法中随机性的力量在于它可以帮助我们找到通过确定性方法难以发现的解决方案。
The power of randomness in algorithms is that it can help us find solutions that are difficult to discover through deterministic methods.
迈克尔·拉宾
追求知识是一段永无止境的旅程,每一个发现都为新的问题打开了大门。
The pursuit of knowledge is a journey that never ends, and each discovery opens the door to new questions.
安德鲁·姚
科学中最重要的不是获得新的事实,而是发现新的思考方式。
The most important thing in science is not so much to obtain new facts as to discover new ways of thinking about them.
安德鲁·姚
探索计算复杂性是一段进入未知的旅程,每一次发现都会打开新的门。
The exploration of computational complexity is a journey into the unknown, where each discovery opens new doors.
斯蒂芬·库克
算法设计的艺术不仅在于解决问题,更在于发现思考问题的新方式。
The art of algorithm design is not just in solving problems, but in discovering new ways to think about them.
莱昂尼德·莱文
在寻求计算解决方案的过程中,我们常常发现旅程与目的地同样重要。
In the quest for computational solutions, we often find that the journey is as important as the destination.
莱昂尼德·莱文
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