理解
The study of computational complexity is not just about solving problems, but also about understanding the limits of what can be computed.
The concept of NP-completeness has provided a powerful tool for understanding the complexity of problems.
The challenge in computer science is not just to solve problems, but to understand why they are problems in the first place.
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.
Understanding a problem is half the solution.
To truly understand a problem, you must first simplify it to its core essence.
The real challenge in computer science is not to write programs, but to understand the nature of computation.
"Understanding the limits of computation is as important as expanding its capabilities."
"Theoretical computer science is not just about solving problems, but about understanding the nature of computation itself."
Security in computing is not just about building walls, but about understanding the landscape of threats.
The development of quantum algorithms requires a deep understanding of both quantum mechanics and computer science.
The discovery of quantum algorithms has fundamentally changed our understanding of computational complexity.
"Computational learning theory provides a mathematical framework for understanding the capabilities and limitations of machine learning algorithms."
The future belongs to those who understand that doing more with less is compassionate, prosperous, and enduring.
The development of formal systems has revolutionized our understanding of mathematics.
The study of computation is essential to understanding the limits of what can be computed.
In mathematics, you don't understand things. You just get used to them.
The study of automata and formal languages is fundamental to understanding the limits of computation.
If you want to understand a system, try changing it.
To solve a problem, one must first understand its nature and then find the right tools to tackle it.