What's the relationship of $f$ and $h$ in ${mathbb{E}_i left[ f(g(x,i)) right] = h(mathbb{E}_i left[ g(x,i)...
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What's the relationship of $f$ and $h$ in ${mathbb{E}_i left[ f(g(x,i)) right] = h(mathbb{E}_i left[ g(x,i) right] )}$
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Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Characters on $Cleft( mathbb{R}^nright)$Proving that $xmapsto sum_{yin Acapleft(0,xright]}rleft(yright)$ is right-continuousUpdated: Constructing a bijection between $left(-frac{pi}{2}, frac{pi}{2}right]$ and $mathbb{R}$Proving that the set of differentiable functions with $left|f'(t)right|leq K$ is dense in the set of Lipschitz continuous functions?$ J = displaystyleint_0^1 left(left(y'right)^2-a^2y^2right)dx $ and $ J_1= displaystyleint_0^1 left(y' + ay tan bxright)^2dx$Linear combination of the identity and function with nonnegative derivativeHow can I show that $gleft[ a,bright] rightarrow mathbb{R}$ is continuous?Proving $int_A f(x,y) dxdy = left(int_a^b phi(x) dxright)left(int_c^d psi(y) dyright)$Approaching a continuous function with polynomials satisfying $left|P_nleft(xright)-fleft(xright)right|<frac{2}{n}$Solve the ode $W^{prime }left( sright) -2iHleft( sright) Wleft( sright) -1=0$
$begingroup$
Let there be a function $f$ and $h$ satisfying
${mathbb{E}_i left[ f(g(x,i)) right] = h(mathbb{E}_i left[ g(x,i) right] )}$
for an arbitrary 2-variable function $g : mathbb{R}^n times mathbb{R} rightarrow mathbb{R}$,
Is it always possible to find a such a function $h$ for given $f$ ?
integration analysis
asked Mar 22 at 13:45
JunhoJunho
115
$endgroup$
add a comment |
$begingroup$
Let there be a function $f$ and $h$ satisfying
${mathbb{E}_i left[ f(g(x,i)) right] = h(mathbb{E}_i left[ g(x,i) right] )}$
for an arbitrary 2-variable function $g : mathbb{R}^n times mathbb{R} rightarrow mathbb{R}$,
Is it always possible to find a such a function $h$ for given $f$ ?
integration analysis
asked Mar 22 at 13:45
JunhoJunho
115
$endgroup$
$begingroup$
please clarify what $x$ and $i$ are.
$endgroup$
– Cettt
Mar 22 at 13:48
add a comment |
$begingroup$
Let there be a function $f$ and $h$ satisfying
${mathbb{E}_i left[ f(g(x,i)) right] = h(mathbb{E}_i left[ g(x,i) right] )}$
for an arbitrary 2-variable function $g : mathbb{R}^n times mathbb{R} rightarrow mathbb{R}$,
Is it always possible to find a such a function $h$ for given $f$ ?
integration analysis
asked Mar 22 at 13:45
JunhoJunho
115
$endgroup$
Let there be a function $f$ and $h$ satisfying
${mathbb{E}_i left[ f(g(x,i)) right] = h(mathbb{E}_i left[ g(x,i) right] )}$
for an arbitrary 2-variable function $g : mathbb{R}^n times mathbb{R} rightarrow mathbb{R}$,
Is it always possible to find a such a function $h$ for given $f$ ?
integration analysis
integration analysis
asked Mar 22 at 13:45
JunhoJunho
115
asked Mar 22 at 13:45
JunhoJunho
115
edited Mar 22 at 13:52
Junho
asked Mar 22 at 13:45
JunhoJunho
115
asked Mar 22 at 13:45
JunhoJunho
115
asked Mar 22 at 13:45
JunhoJunho
115
115
$begingroup$
please clarify what $x$ and $i$ are.
$endgroup$
– Cettt
Mar 22 at 13:48
add a comment |
$begingroup$
please clarify what $x$ and $i$ are.
$endgroup$
– Cettt
Mar 22 at 13:48
$begingroup$
please clarify what $x$ and $i$ are.
$endgroup$
– Cettt
Mar 22 at 13:48
$begingroup$
please clarify what $x$ and $i$ are.
$endgroup$
– Cettt
Mar 22 at 13:48
add a comment |
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$begingroup$
please clarify what $x$ and $i$ are.
$endgroup$
– Cettt
Mar 22 at 13:48