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Diffstat (limited to 'notes-mitro206.tex')
| -rw-r--r-- | notes-mitro206.tex | 12 |
1 files changed, 6 insertions, 6 deletions
diff --git a/notes-mitro206.tex b/notes-mitro206.tex index 7d20177..c92901c 100644 --- a/notes-mitro206.tex +++ b/notes-mitro206.tex @@ -1,11 +1,11 @@ %% This is a LaTeX document. Hey, Emacs, -*- latex -*- , get it? \documentclass[12pt,a4paper]{article} -\usepackage[francais]{babel} +\usepackage[a4paper,margin=2.5cm]{geometry} +\usepackage[french]{babel} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} -%\usepackage{ucs} -\usepackage{times} -% A tribute to the worthy AMS: +\usepackage{lmodern} +\usepackage{newtxtext} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amssymb} @@ -84,7 +84,7 @@ \author{David A. Madore} \maketitle -\centerline{\textbf{MITRO206}} +\centerline{\textbf{CSC-4MI06-TP / MITRO206}} {\footnotesize \immediate\write18{sh ./vc > vcline.tex} @@ -1947,7 +1947,7 @@ devient de maximiser $v_+ - v_-$ sous les contraintes \[-\sum_{a\in A_1} x_a \leq -1\] \[(\forall b\in A_2)\;v_+ - v_- - \sum_{a \in A_1} u(a,b)\, x_a \leq 0\] Le problème dual (minimiser ${^{\mathrm{t}}\textbf{q}} y$ sous les -contraintes ${^{\mathrm{t}}\textbf{M}} y \geq {^\mathrm{t}\textbf{q}}$ +contraintes ${^{\mathrm{t}}\textbf{M}} y \geq {^\mathrm{t}\textbf{p}}$ et $y\geq 0$) est alors de minimiser $w_+ - w_-$ sous les contraintes \[w_+\geq 0,\; w_- \geq 0,\;\; (\forall b\in A_2)\;y_b \geq 0\] \[\sum_{b\in A_2} y_b \geq 1\] |