Big O inside big O
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Is there a definition of big O inside big O, ina way to give a sense to this $O(h(O(g)))$ with $h,g$ functions.
Could be it $O(h(O(g)))={ f | forall k in O(g) rightarrow f in O(h circ k) }$ ?
In general, is there a definition of $O(X)$ with $X$ a set of functions?
asymptotics
asked Nov 22 at 21:22
asv
2561210
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up vote
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down vote
favorite
Is there a definition of big O inside big O, ina way to give a sense to this $O(h(O(g)))$ with $h,g$ functions.
Could be it $O(h(O(g)))={ f | forall k in O(g) rightarrow f in O(h circ k) }$ ?
In general, is there a definition of $O(X)$ with $X$ a set of functions?
asymptotics
asked Nov 22 at 21:22
asv
2561210
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Is there a definition of big O inside big O, ina way to give a sense to this $O(h(O(g)))$ with $h,g$ functions.
Could be it $O(h(O(g)))={ f | forall k in O(g) rightarrow f in O(h circ k) }$ ?
In general, is there a definition of $O(X)$ with $X$ a set of functions?
asymptotics
asked Nov 22 at 21:22
asv
2561210
Is there a definition of big O inside big O, ina way to give a sense to this $O(h(O(g)))$ with $h,g$ functions.
Could be it $O(h(O(g)))={ f | forall k in O(g) rightarrow f in O(h circ k) }$ ?
In general, is there a definition of $O(X)$ with $X$ a set of functions?
asymptotics
asymptotics
asked Nov 22 at 21:22
asv
2561210
asked Nov 22 at 21:22
asv
2561210
asked Nov 22 at 21:22
asv
2561210
asked Nov 22 at 21:22
asv
2561210
asked Nov 22 at 21:22
asv
2561210
2561210
add a comment |
add a comment |
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