+\n{$[n]$}{the set $\{1,2,\ldots,n\}$ \[pranksect]}
+\n{$L(\pi,A)$}{lexicographic ranking function for permutations on a~set~$A\subseteq{\bb N}$ \[brackets]}
+\n{$L^{-1}(i,A)$}{lexicographic unranking function, the inverse of~$L$ \[brackets]}
+\n{$n^{\underline k}$}{the $k$-th falling factorial power: $n\cdot(n-1)\cdot\ldots\cdot(n-k+1)$ \[kpranksect]}
+\n{$H\minorof G$}{$H$ is a~minor of~$G$ \[minordef]}
+\n{$K_k$}{the complete graph on~$k$ vertices}
+\n{$C_k$}{the cycle on~$k$ vertices}
+\n{${\cal P}_A$}{the set of all permutations on a~set~$A$ \[restnota]}
+\n{${\cal P}_{A,M}$}{the set of all permutations on~$A$ satisfying the restrictions~$M$ \[restnota]}
+\n{$N_0(M)$}{the number of permutations satisfying the restrictions~$M$ \[restnota]}
+\n{$M^{i,j}$}{the matrix $M$ with $i$-th row and $j$-th column deleted \[restnota]}
+\n{$D_n$}{the $n\times n$ matrix with $D[i,i]=0$ for all~$i$ and ones elsewhere else \[hatrank]}
+\n{$\per M$}{the permanent of a~square matrix~$M$}