- #1
Somefantastik
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so for a mapping f:X->Y
where X,Y are Normed Vector Spaces
if I have a function f(x) = y such that x in X and y in Y, how do I explicitly find f inverse?
I sat down to do this and realize I've only been trained in the Reals where you switch the x,y and then solve for y. But this won't work for my function as my x,y are vectors (not scalars) and I don't have all the operations available like 1/x and ln(x).
where X,Y are Normed Vector Spaces
if I have a function f(x) = y such that x in X and y in Y, how do I explicitly find f inverse?
I sat down to do this and realize I've only been trained in the Reals where you switch the x,y and then solve for y. But this won't work for my function as my x,y are vectors (not scalars) and I don't have all the operations available like 1/x and ln(x).