Using the Mobius function for a poset to solve for μ(1,1,2,3,4). and μ(1,2,1,3,4).
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Consider the poset $(mathcalP(S),rho)$ where
$S=1,2,3,4$
and $forall A,B in mathcalP(S)$, $Arho B$ if and only if $Asubseteq B$.
Let $mu: mathcalP(S)times mathcalP(S)rightarrow mathbbZ$ be the Mobius function of this poset.
Determine
$mu(1, 1,2,3,4)$.
$mu(1,2,1,3,4)$.
If I wanted to solve this question using matrices does this mean my matrice would be a 4x4? and since ∀A,B∈ P(S) does this mean everything is related to each other since A ⊆ B.
discrete-mathematics mobius-function
asked Aug 28 at 12:55
Andy Fung
33
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Consider the poset $(mathcalP(S),rho)$ where
$S=1,2,3,4$
and $forall A,B in mathcalP(S)$, $Arho B$ if and only if $Asubseteq B$.
Let $mu: mathcalP(S)times mathcalP(S)rightarrow mathbbZ$ be the Mobius function of this poset.
Determine
$mu(1, 1,2,3,4)$.
$mu(1,2,1,3,4)$.
If I wanted to solve this question using matrices does this mean my matrice would be a 4x4? and since ∀A,B∈ P(S) does this mean everything is related to each other since A ⊆ B.
discrete-mathematics mobius-function
asked Aug 28 at 12:55
Andy Fung
33
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Consider the poset $(mathcalP(S),rho)$ where
$S=1,2,3,4$
and $forall A,B in mathcalP(S)$, $Arho B$ if and only if $Asubseteq B$.
Let $mu: mathcalP(S)times mathcalP(S)rightarrow mathbbZ$ be the Mobius function of this poset.
Determine
$mu(1, 1,2,3,4)$.
$mu(1,2,1,3,4)$.
If I wanted to solve this question using matrices does this mean my matrice would be a 4x4? and since ∀A,B∈ P(S) does this mean everything is related to each other since A ⊆ B.
discrete-mathematics mobius-function
asked Aug 28 at 12:55
Andy Fung
33
Consider the poset $(mathcalP(S),rho)$ where
$S=1,2,3,4$
and $forall A,B in mathcalP(S)$, $Arho B$ if and only if $Asubseteq B$.
Let $mu: mathcalP(S)times mathcalP(S)rightarrow mathbbZ$ be the Mobius function of this poset.
Determine
$mu(1, 1,2,3,4)$.
$mu(1,2,1,3,4)$.
If I wanted to solve this question using matrices does this mean my matrice would be a 4x4? and since ∀A,B∈ P(S) does this mean everything is related to each other since A ⊆ B.
discrete-mathematics mobius-function
asked Aug 28 at 12:55
Andy Fung
33
asked Aug 28 at 12:55
Andy Fung
33
asked Aug 28 at 12:55
Andy Fung
33
asked Aug 28 at 12:55
Andy Fung
33
33
add a comment |Â
add a comment |Â
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