Test TeX

<wikitex> Let $Q$ be any finite set, and $\mathcal B=2^Q$ be the collection of the subsets of $Q$. Let $f:\mathcal B\rightarrow \mathbb R$ be a function assigning real numbers to the subsets of $Q$ and suppose $f$ satisfies the following conditions:

(i) $f(A)\ge 0$ for all $A\subseteq Q$, $f(\emptyset)=0$,

(ii) $f$ is monotone, i.e. if $A\subseteq B\subseteq Q$ then $f(A)\le f(B)$,

(iii) $f$ is submodular, i.e. if $A$ and $B$ are different subsets of $Q$ then

     $$f(A)+f(B)\ge f(A\cap B) + f(A\cup B).\eqno{(2)}$$

</wikitex>