Cryptocurrency Q&A
What the heck is a manifold?
What the heck is a manifold?
Leonardo
Fri Nov 08 2024
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5 answers
1306
I came across the term 'manifold' in some technical documentation and I'm completely confused. I have no idea what it means or what it's used for. Can someone please explain what a manifold is in simple terms?
5 answers
NavigatorEcho
Sun Nov 10 2024
A manifold represents a specific type of topological space.
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mia_anderson_painter
Sun Nov 10 2024
However, modern advancements have revealed that the Earth is actually spherical. Similarly, a manifold appears locally flat or Euclidean when observed closely, but its overall shape can be much more complex.
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DigitalDuke
Sun Nov 10 2024
It possesses the characteristic of being locally Euclidean. This implies that every point within the manifold has a surrounding neighborhood that resembles an open unit ball topologically.
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Luca
Sun Nov 10 2024
In simpler terms, if you zoom in closely enough on any point in a manifold, it will resemble a small piece of flat Euclidean space.
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Carlo
Sun Nov 10 2024
To provide a clearer picture, let's draw a comparison with an ancient misconception. Historically, people believed the Earth to be flat.
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