User:Realazthat/Notes/Scrap

Du

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{array}{lcl} b\left(E,u\in E,v\in E\right) \in \left\{0,1\right\} & = & \begin{cases} 0 & \text{if }\left(u,v\right)\text{ is an edge in }E\\ 1 & \text{if }\left(u,v\right)\text{ is not an edge in }E\end{cases}\\ f\left(F,u \in F, v \in F\right) \in \left\{0,1\right\} & = & \begin{cases} 0 & \text{if }\left(u,v\right)\text{ is an edge in }F\\ 1 & \text{if }\left(u,v\right)\text{ is not an edge in }F\end{cases} \\ c\left(C,E,p \in C,q \in C,r \in C,s \in C\right)\in\left\{ 0,1,2,3\right\} & = & b\left(E,C_{p-1},C_{q+1}\right)+b\left(E,C_{q},C_{s}\right)+b\left(E,C_{p},C_{r}\right) \\ d\left(C,F,p \in C,q \in C,r \in C,s \in C\right)\in\left\{ 0,1,2,3\right\} & = & f\left(F,C_{p-1},C_{q+1}\right)+f\left(F,C_{q},C_{s}\right)+f\left(F,C_{p},C_{r}\right)\\ b,c,d,f \in O\left(1\right)\\ \end{array} }

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{array}{lcl} m\left(C,F,E\right)\in\left\{0,1,2,3\right\} & = & \underset{\begin{array}{c} p,q,r,s \in C\\ \left(p\leq q\right)\wedge\left(q<r\right)\wedge\left(q<s\right)\wedge\left(\left|s-r\right|=1\right)\\ \left(c\left(C,E,p,q,r,s\right)\neq0\right)\rightarrow\left(d\left(C,F,p,q,r,s\right)\neq0\right)\end{array}} {\min} c\left(C,E,p,q,r,s\right)\\ \end{array} }