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solve for function which is the written in terms of itself and its inverse
Let, $f:\rm I\!R \rightarrow \rm I\!R$ be some function that is equal to a linear combination of itself and its inverse. Is is possible write an explicit formula for $f(x)$?
$$
f(x) = af(x) + bf^{-1}(...
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Abstract concept tying real numbers to elementary functions?
Real numbers can be broken into two categories: rational vs. irrational. Irrational numbers can be approximated, but never fully represented by rational numbers.
Analytic functions have Taylor ...
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