Find function $f$ such that $f(x)ln[f(x)]=x$ The Next CEO of Stack OverflowHow can I find such function?If a function restricted to every set of an open cover is $C^k$, then is the function $C^k$A direct application of inverse function theoremCorollary of Inverse Function Theorem?Find $C^1$ class function such thatFind all points such that function has all partial derivatives in that point.Given any function $g(x): mathbbR rightarrow mathbbR$, find a function $f(x)$ such that $f(f(x)) = g(x)$.Find the function $f$ such that $g_x(z)=f(x,z)$, $g_y(z) =f(z,y)$Find a $f$ function such that$f'(x)geq 0$ but not continuousfind all analytic function such that real part is radial
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Find function $f$ such that $f(x)ln[f(x)]=x$
The Next CEO of Stack OverflowHow can I find such function?If a function restricted to every set of an open cover is $C^k$, then is the function $C^k$A direct application of inverse function theoremCorollary of Inverse Function Theorem?Find $C^1$ class function such thatFind all points such that function has all partial derivatives in that point.Given any function $g(x): mathbbR rightarrow mathbbR$, find a function $f(x)$ such that $f(f(x)) = g(x)$.Find the function $f$ such that $g_x(z)=f(x,z)$, $g_y(z) =f(z,y)$Find a $f$ function such that$f'(x)geq 0$ but not continuousfind all analytic function such that real part is radial
$begingroup$
Find a function $f:mathbbRlongrightarrowmathbbR$ such that $f(x)
ln [f(x)]=x$ for $xin D$ open.
analysis
edited Mar 18 at 10:38
Bernard
123k741117
asked Mar 18 at 9:25
Fuid NirantoFuid Niranto
12
$endgroup$
add a comment |
$begingroup$
Find a function $f:mathbbRlongrightarrowmathbbR$ such that $f(x)
ln [f(x)]=x$ for $xin D$ open.
analysis
edited Mar 18 at 10:38
Bernard
123k741117
asked Mar 18 at 9:25
Fuid NirantoFuid Niranto
12
$endgroup$
1
$begingroup$
The function $f(x) = 3$ works for $D = varnothing$, which is open. Could you be a bit more specific?
$endgroup$
– Arthur
Mar 18 at 9:27
1
$begingroup$
How about $exp W(x)$ in terms of this?
$endgroup$
– J.G.
Mar 18 at 9:34
$begingroup$
No closed form for such function :(
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:04
add a comment |
$begingroup$
Find a function $f:mathbbRlongrightarrowmathbbR$ such that $f(x)
ln [f(x)]=x$ for $xin D$ open.
analysis
edited Mar 18 at 10:38
Bernard
123k741117
asked Mar 18 at 9:25
Fuid NirantoFuid Niranto
12
$endgroup$
Find a function $f:mathbbRlongrightarrowmathbbR$ such that $f(x)
ln [f(x)]=x$ for $xin D$ open.
analysis
analysis
edited Mar 18 at 10:38
Bernard
123k741117
asked Mar 18 at 9:25
Fuid NirantoFuid Niranto
12
edited Mar 18 at 10:38
Bernard
123k741117
asked Mar 18 at 9:25
Fuid NirantoFuid Niranto
12
edited Mar 18 at 10:38
Bernard
123k741117
edited Mar 18 at 10:38
Bernard
123k741117
edited Mar 18 at 10:38
Bernard
123k741117
123k741117
asked Mar 18 at 9:25
Fuid NirantoFuid Niranto
12
asked Mar 18 at 9:25
Fuid NirantoFuid Niranto
12
asked Mar 18 at 9:25
Fuid NirantoFuid Niranto
12
12
1
$begingroup$
The function $f(x) = 3$ works for $D = varnothing$, which is open. Could you be a bit more specific?
$endgroup$
– Arthur
Mar 18 at 9:27
1
$begingroup$
How about $exp W(x)$ in terms of this?
$endgroup$
– J.G.
Mar 18 at 9:34
$begingroup$
No closed form for such function :(
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:04
add a comment |
1
$begingroup$
The function $f(x) = 3$ works for $D = varnothing$, which is open. Could you be a bit more specific?
$endgroup$
– Arthur
Mar 18 at 9:27
1
$begingroup$
How about $exp W(x)$ in terms of this?
$endgroup$
– J.G.
Mar 18 at 9:34
$begingroup$
No closed form for such function :(
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:04
1
1
$begingroup$
The function $f(x) = 3$ works for $D = varnothing$, which is open. Could you be a bit more specific?
$endgroup$
– Arthur
Mar 18 at 9:27
$begingroup$
The function $f(x) = 3$ works for $D = varnothing$, which is open. Could you be a bit more specific?
$endgroup$
– Arthur
Mar 18 at 9:27
1
1
$begingroup$
How about $exp W(x)$ in terms of this?
$endgroup$
– J.G.
Mar 18 at 9:34
$begingroup$
How about $exp W(x)$ in terms of this?
$endgroup$
– J.G.
Mar 18 at 9:34
$begingroup$
No closed form for such function :(
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:04
$begingroup$
No closed form for such function :(
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:04
add a comment |
0
active
oldest
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1
$begingroup$
The function $f(x) = 3$ works for $D = varnothing$, which is open. Could you be a bit more specific?
$endgroup$
– Arthur
Mar 18 at 9:27
1
$begingroup$
How about $exp W(x)$ in terms of this?
$endgroup$
– J.G.
Mar 18 at 9:34
$begingroup$
No closed form for such function :(
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:04