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The essence of mathematics is not to make simple things complicated, but to make complicated things simple.
The beauty of mathematics lies in its ability to simplify complex phenomena.
The essence of mathematics is not to make simple things complicated, but to make complicated things simple.
Abstraction is the key to managing complexity in large software systems.
The goal of software engineering is to control complexity, not to create it.
The key to managing complexity is to focus on the interfaces between components, not their internal details.
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 concept of computational complexity is not just about how fast we can compute, but also about understanding the limits of what can be computed.
The art of programming is the art of organizing complexity.
In the end, the value of a theory is not in its complexity, but in its ability to explain and predict.
The beauty of algorithms lies not in their complexity, but in their simplicity and elegance.
"In the study of computational complexity, we often find that the boundaries of what is possible are defined by the limits of our imagination."
"Complexity theory teaches us that not all problems are created equal; some are inherently harder than others."
The discovery of quantum algorithms has fundamentally changed our understanding of computational complexity.
"The future of machine learning will depend on our ability to develop algorithms that can learn from complex, high-dimensional data."
"A key insight in computational learning theory is that the complexity of a learning problem is determined by the complexity of the hypothesis space and the amount of data available."
There are two ways of constructing a software design: One way is to make it so simple that there are obviously no deficiencies, and the other way is to make it so complicated that there are no obvious deficiencies.
The only way to deal with the complexity of the world is to simplify it.
The key to solving complex problems is often to find the right abstraction that simplifies the problem without losing its essential features.