X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/desynchronisation-controle.git/blobdiff_plain/e6cd9df3d469f7916d513610d3bc22ab055f790a..ae93ee0d91e2a8f31ec45f7b77f9e81294630f07:/IWCMC14/convexity.tex?ds=inline

diff --git a/IWCMC14/convexity.tex b/IWCMC14/convexity.tex
index 0f7bf7e..172ca37 100644
--- a/IWCMC14/convexity.tex
+++ b/IWCMC14/convexity.tex
@@ -20,7 +20,7 @@ in equation~(\ref{eq:obj2}) by
 \delta_x \sum_{h \in V, l \in L } x_{hl}^2 
 + \delta_r\sum_{h \in V }R_{h}^2
 + \delta_p\sum_{h \in V }P_{sh}^{\frac{8}{3}}.
-\label{eq:obj2}
+\label{eq:obj2p}
 \end{equation}
 In this equation we have first introduced new regularisation factors
 (namely $\delta_x$, $\delta_r$, and $\delta_p$)
@@ -38,7 +38,7 @@ $$
 \begin{array}{rcl}
 f'(p) &=& -2/3.v_h.\dfrac{\ln(\sigma^2/D_h)}{\gamma p^{5/3}} + \lambda_h + 
 8/3.\delta_p p^{5/3} \\
-& = & \dfrac {8/3\gamma.\delta_p p^{10/3} + \lambda_h p^{5/3} -2/3.v_h\ln(\sigma^2/D_h)  }{p^{5/3}}
+& = & \dfrac {8/3.\delta_p p^{10/3} + \lambda_h p^{5/3} -2/3\gamma.v_h\ln(\sigma^2/D_h)  }{p^{5/3}}
 \end{array}
 $$
 which is positive if and only if the numerator is.
