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The development of MRI has revolutionized the field of medical imaging, allowing us to see inside the human body in ways that were previously unimaginable.
"We need to think differently about how we approach cancer treatment."
I think it's rarely about what you actually learn in class. It's mostly about the way that you look at things.
The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colors or the words, must fit together in a harmonious way.
The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colors or the words, must fit together in a harmonious way.
The challenge is not just to collect data, but to make sense of it in ways that improve lives.
To solve a problem, you have to be willing to think differently.
I always did something I was a little not ready to do. I think that’s how you grow.
We need to think about how to make computers work for us in ways that are more intuitive and natural.
Modularity based on abstraction is the way things ought to be done.
"Innovation in algorithms often comes from looking at old problems in new ways."
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 challenge in computer science is not just to solve problems, but to solve them in a way that is both efficient and elegant.
The development of efficient algorithms is not just a theoretical exercise; it has practical implications for the way we live and work.
The most important thing in science is not so much to obtain new facts as to discover new ways of thinking about them.
The art of algorithm design is not just in solving problems, but in discovering new ways to think about them.
The best way to learn is by doing, not just by listening or reading.
The power of quantum computing comes from the ability to manipulate quantum states in a way that classical computers cannot.
Quantum computing is not just a faster version of classical computing; it's a fundamentally different way of processing information.
"Verification is not just about finding bugs; it's about understanding why the system works the way it does."