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diffeomorphism

Pronunciation: [ˌdɪfəʊˈmɔːfɪzəm]

Word

Context: "mathematics"

(noun) a special kind of relationship between two shapes or spaces. It means that you can turn one shape into the other without stretching or breaking it, just like molding clay.

Example

The mathematicians showed that the two surfaces are diffeomorphic, meaning you can transform one into the other smoothly.

Example

The shapes are not diffeomorphic because you cannot reshape one into the other without tearing it.

Example

Can you explain what it means for two shapes to be diffeomorphic?

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