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PDF statistics: - 1032 PDF objects out of 1200 (max. 8388607) - 857 compressed objects within 9 object streams - 308 named destinations out of 1000 (max. 500000) + 1034 PDF objects out of 1200 (max. 8388607) + 859 compressed objects within 9 object streams + 310 named destinations out of 1000 (max. 500000) 948 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/SimpleDocument.synctex.gz b/SimpleDocument.synctex.gz index d2c7adb..88e5fda 100644 Binary files a/SimpleDocument.synctex.gz and b/SimpleDocument.synctex.gz differ diff --git a/SimpleDocument.tex b/SimpleDocument.tex index bc6cbc1..8906537 100644 --- a/SimpleDocument.tex +++ b/SimpleDocument.tex @@ -24,7 +24,7 @@ \title{Gran Compendio OLI} \author{\href{https://github.com/meschio94/Gran-Compendio-OLI}{Meschio}} -\date{2021\\V1.2.1} +\date{2021\\V1.2.2} \begin{document} \maketitle @@ -1428,8 +1428,7 @@ Soluzione:\\ \subsection{PLC minimization} \noindent\fbox{% \parbox{\textwidth}{% -Given a PLC problem P in minimization form, with 2 constraints with sign ’≥’ and 1 -constraint with sign ’=’, and 5 variables, consider the dual problem D: +Given a PLC problem P in minimization form, with 2 constraints with sign '$\geqq$' and 1 constraint with sign '=', and 5 variables, consider the dual problem D: \begin{enumerate}[label=\Alph*] \item | D has 3 variables and 5 constraints; @@ -1519,7 +1518,8 @@ The branch-and-cut method: \begin{enumerate}[label=\Alph*] \item | is used to solve linear programming problems with continuous variables; \item | always uses the lowest-first strategy to explore the subproblems.; -\item | is used to solve NP-complete (“difficult”) problems; (d) terminates in a polynomial number of iterations; +\item | is used to solve NP-complete (“difficult”) problems; +\item | terminates in a polynomial number of iterations; \item | at each iteration uses the simplex algorithm to solve the current subproblem. \end{enumerate} }% @@ -1532,8 +1532,11 @@ Soluzione:\\ \parbox{\textwidth}{% Given a PLC problem with $n$ variables and $m$ constraints, a basic matrix is: \begin{enumerate}[label=\Alph*] -\item | a collection of $m$ constraints; (b) none of the above answers.; -\item | a square $m$x$m$ matrix with value 1 on the main diagonal; \item | a collection of $n-m$ columns of the constraint matrix; \item | a square submatrix of the constraint matrix, that can be inverted. +\item | a collection of $m$ constraints; +\item | none of the above answers.; +\item | a square $m$x$m$ matrix with value 1 on the main diagonal; +\item | a collection of $n-m$ columns of the constraint matrix; +\item | a square submatrix of the constraint matrix, that can be inverted. \end{enumerate} }% }%