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复杂
寻找高效算法不仅仅是一个技术挑战;它是一次深入复杂性核心的旅程。
The quest for efficient algorithms is not just a technical challenge; it is a journey into the heart of complexity.
马达夫·瓦拉丹
数学的本质不是使简单的事情复杂化,而是使复杂的事情简单化。
The essence of mathematics is not to make simple things complicated, but to make complicated things simple.
尤里·泽瓦
理解学习问题的计算复杂性对于开发高效算法至关重要。
Understanding the computational complexity of learning problems is essential for developing efficient algorithms.
莱斯利·瓦利安特
学习问题的复杂性通常由假设空间的大小和结构决定。
The complexity of a learning problem is often determined by the size and structure of the hypothesis space.
莱斯利·瓦利安特
计算复杂性的研究告诉我们,有些问题本质上是困难的,无论我们的算法多么聪明。
"The study of computational complexity teaches us that some problems are inherently difficult, no matter how clever our algorithms are."
什穆埃尔·温伯格
计算复杂性的美在于它能够揭示问题的固有难度,而不管用于解决这些问题的具体算法是什么。
"The beauty of computational complexity lies in its ability to reveal the inherent difficulty of problems, regardless of the specific algorithms used to solve them."
什穆埃尔·温伯格
抽象是管理软件系统复杂性的关键。
Abstraction is the key to managing complexity in software systems.
芭芭拉·利斯科夫
模块化对于构建大型系统至关重要,因为它允许我们将复杂的问题分解为更小、更易管理的部分。
Modularity is essential for building large systems, as it allows us to break down complex problems into smaller, more manageable parts.
芭芭拉·利斯科夫
软件工程的目标是控制复杂性,而不是创造复杂性。
The goal of software engineering is to control complexity, not to create it.
巴特勒·兰普森
在计算机科学中,抽象是管理复杂性的关键。
In computer science, abstraction is the key to managing complexity.
杰弗里·乌尔曼
计算机科学家的主要挑战不是被自己制造的复杂性所迷惑。
The computing scientist's main challenge is not to get confused by the complexities of his own making.
阿尔弗雷德·艾侯
编程的艺术是组织复杂性的艺术,是掌握多样性并尽可能有效地避免其混乱的艺术。
The art of programming is the art of organizing complexity, of mastering multitude and avoiding its bastard chaos as effectively as possible.
阿尔弗雷德·艾侯
计算机图形学中的挑战在于用数学模型的简单性来模拟现实世界的复杂性。
The challenge in computer graphics is to simulate the complexity of the real world with the simplicity of mathematical models.
帕特里克·汉拉汉
大脑是一个复杂的系统,我们才刚刚开始理解它是如何工作的。
The brain is a complex system, and we are just beginning to understand how it works.
杰弗里·辛顿
编程的艺术是组织复杂性的艺术,是掌握多样性并尽可能有效地避免其混乱的艺术。
The art of programming is the art of organizing complexity, of mastering multitude and avoiding its bastard chaos as effectively as possible.
约翰·轩尼诗
简单化的艺术是复杂性的谜题。
The art of simplicity is a puzzle of complexity.
惠特菲尔德·迪菲
学习理论中的一个关键见解是,假设类的复杂性对于泛化至关重要。
A key insight in learning theory is that the complexity of a hypothesis class is crucial for generalization.
莱斯利·瓦利安特
数学的美在于它允许我们抽象出现实世界的复杂性,专注于基本原则。
The beauty of mathematics is that it allows us to abstract away the complexities of the real world and focus on the underlying principles.
西尔维奥·米卡利
密码学和复杂性理论的交叉点是计算机科学中一些最迷人问题的所在。
The intersection of cryptography and complexity theory is where some of the most fascinating problems in computer science reside.
沙菲·戈德瓦塞尔
解决复杂问题的关键是提出正确的因果问题。
The key to solving complex problems is to ask the right causal questions.
朱迪亚·珀尔
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