ci139
Active Member
as for "-- find f (x) so that f (f (x)) = exp (x) --"
,
find a halfDerivate[exp(x)] = exp^( '/2) [x] -- as for a^x = a^(x/2)·a^(x/2) the exp ' (x) = exp^( '/2) [x] "unknown operator" exp^( '/2) [x]
it's something like find half limit for Lim_(x→0) Sin(x) = halfLim_(x→0) Sin(x) "unknown operator" halfLim_(x→0) Sin(x)
(the target here is a "fraction space" in between "function space" and it's "differential space" so that the value 0.5 (a half) might be any fraction)
the speciffic target here is "fraction space" for fraction 0.5 and the function exp(x)
,
find a halfDerivate[exp(x)] = exp^( '/2) [x] -- as for a^x = a^(x/2)·a^(x/2) the exp ' (x) = exp^( '/2) [x] "unknown operator" exp^( '/2) [x]
it's something like find half limit for Lim_(x→0) Sin(x) = halfLim_(x→0) Sin(x) "unknown operator" halfLim_(x→0) Sin(x)
(the target here is a "fraction space" in between "function space" and it's "differential space" so that the value 0.5 (a half) might be any fraction)
the speciffic target here is "fraction space" for fraction 0.5 and the function exp(x)