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You can adapt the power series definition of cosine to take in a matrix. Does this have a geometric interpretation/definition? Can it be used for various purposes? I actually have extended the matrix product to a broad class of manifolds, so I'm wondering how important this advance is.

You can adapt the power series definition of cosine to take in a matrix. Does this have a geometric interpretation? Can it be used for various purposes? I actually have extended the matrix product to manifolds.

You can adapt the power series definition of cosine to take in a matrix. Does this have a geometric interpretation/definition? Can it be used for various purposes? I actually have extended the matrix product to a broad class of manifolds, so I'm wondering how important this advance is.

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Does the cosine of a matrix have a geometric (non power series) interpretation?

You can adapt the power series definition of cosine to take in a matrix. Does this have a geometric interpretation? Can it be used for various purposes? I actually have extended the matrix product to manifolds.