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How to define differentiation of a time-dependent vectors with respect to a specific reference frame in a coordinate-free manner?

It is usual in classical mechanics to introduce the derivative of a time-dependent vector with respect to a reference frame. This is accomplished through the use of a basis that is fixed with respect ...
jvf's user avatar
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2 answers
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Generalized coordinates as components

Why we cannot express Generalized coordinates as a vector like we do with Cartesian coordinates $x$ , $y$ ,$z$ ?
Apar Sharma's user avatar