Used existing operator for max.

diff --git a/Heter_paper.tex b/Heter_paper.tex
index 0b545e4ad4f0cc6b0ef10247275210007dc2a614..a31c0fbec3daac05e494d832b2bd23499cbca224 100644 (file)
--- a/Heter_paper.tex
+++ b/Heter_paper.tex
@@ -638,7 +638,7 @@ maximum distance  between the  energy curve and  the performance curve  is while
     \If{(not the first frequency)}
           \State $F_i \gets F_i+\Fdiff_i,~i=1,\dots,N.$
     \EndIf 
     \If{(not the first frequency)}
           \State $F_i \gets F_i+\Fdiff_i,~i=1,\dots,N.$
     \EndIf 

-    \State $\Told \gets max_{~i=1,\dots,N } (\Tcp_i+\Tcm_i)$
+    \State $\Told \gets \max_{i=1,\dots,N} (\Tcp_i+\Tcm_i)$

     % \State $\Eoriginal \gets \sum_{i=1}^{N}{( \Pd_i \cdot  \Tcp_i)} +\sum_{i=1}^{N} {(\Ps_i \cdot \Told)}$
     \State $\Eoriginal \gets \sum_{i=1}^{N}{( \Pd_i \cdot  \Tcp_i + \Ps_i \cdot \Told)}$
     \State $\Sopt_{i} \gets 1,~i=1,\dots,N. $
     % \State $\Eoriginal \gets \sum_{i=1}^{N}{( \Pd_i \cdot  \Tcp_i)} +\sum_{i=1}^{N} {(\Ps_i \cdot \Told)}$
     \State $\Eoriginal \gets \sum_{i=1}^{N}{( \Pd_i \cdot  \Tcp_i + \Ps_i \cdot \Told)}$
     \State $\Sopt_{i} \gets 1,~i=1,\dots,N. $


@@ -648,7 +648,7 @@ maximum distance  between the  energy curve and  the performance curve  is while
         \State $F_i \gets F_i - \Fdiff_i,~i=1,\dots,N.$
         \State $S_i \gets \frac{\Fmax_i}{F_i},~i=1,\dots,N.$
         \EndIf
         \State $F_i \gets F_i - \Fdiff_i,~i=1,\dots,N.$
         \State $S_i \gets \frac{\Fmax_i}{F_i},~i=1,\dots,N.$
         \EndIf

-       \State $\Tnew \gets max_\textit{~i=1,\dots,N} (\Tcp_{i} \cdot S_{i}) + \MinTcm $
+       \State $\Tnew \gets \max_{i=1,\dots,N} (\Tcp_{i} \cdot S_{i}) + \MinTcm $

 %       \State $\Ereduced \gets \sum_{i=1}^{N}{(S_i^{-2} \cdot \Pd_i \cdot  \Tcp_i)} + \sum_{i=1}^{N} {(\Ps_i \cdot \rlap{\Tnew)}} $
        \State $\Ereduced \gets \sum_{i=1}^{N}{(S_i^{-2} \cdot \Pd_i \cdot  \Tcp_i + \Ps_i \cdot \rlap{\Tnew)}} $
        \State $\Pnorm \gets \frac{\Told}{\Tnew}$
 %       \State $\Ereduced \gets \sum_{i=1}^{N}{(S_i^{-2} \cdot \Pd_i \cdot  \Tcp_i)} + \sum_{i=1}^{N} {(\Ps_i \cdot \rlap{\Tnew)}} $
        \State $\Ereduced \gets \sum_{i=1}^{N}{(S_i^{-2} \cdot \Pd_i \cdot  \Tcp_i + \Ps_i \cdot \rlap{\Tnew)}} $
        \State $\Pnorm \gets \frac{\Told}{\Tnew}$