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What does invertible mean?

Looking for the meaning or definition of the word invertible? Here's what it means.

Adjective
  1. Capable of being inverted or turned.
  2. (mathematics) Able to be inverted, having an inverse.
  3. (chemistry) Capable of being changed or converted.
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Examples
It can be proved that a Dedekind domain is equivalent to an integral domain in which every proper fractional ideal is invertible.
The idea haunted him like the invertible companions of Orestes.
In 1911 he established his theorems on the invariance of the dimension of a manifold under continuous invertible transformations.
The eye-peduncles are peculiar in being invertible in the same manner that a kid glove finger is pulled inside out.
This normally guarantees a Jacobien, i.e. an initial invertible system base.
It was Gardner who first showed me the invertible signatures designed by Scott Kim.

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