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Underfull \hbox (badness 2951) in paragraph at lines 181--181 [][]\OT1/cmr/m/n/10 By stan-dard we mean a dis-counted op-ti-mal con-trol prob- lem with cost $[][] \OML/cmm/m/it/10 e[]\OT1/cmr/m/n/10 [\OML/cmm/m/it/10 l[]\O T1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 t\OT1/cmr/m/ n/10 )) + [] [5] [6] [7] [8] [9] [10] [11] [12] Overfull \hbox (23.95375pt too wide) in paragraph at lines 712--713 []\OT1/cmr/m/n/12 Hence by Lemma 3[] there ex-ist poly-no-mial den-si-ties $\OM L/cmm/m/it/12 ^^Z[] \OMS/cmsy/m/n/12 2 []\OML/cmm/m/it/12 Q[]\OT1/cmr/m/n/12 (\ OML/cmm/m/it/12 X\OT1/cmr/m/n/12 )$, $\OML/cmm/m/it/12 ^^[[] \OMS/cmsy/m/n/12 2 []\OML/cmm/m/it/12 Q[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 X\OT1/cmr/m/n/12 )[]$ [] [13] [14] [15] File: DoubleInteg_NL_Controller_du6.png Graphic file (type png) Package pdftex.def Info: DoubleInteg_NL_Controller_du6.png used on input line 8 73. (pdftex.def) Requested size: 227.62204pt x 170.71231pt. 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[18] [19 <./Lotka_Voltera_n4_x1.pdf> <./Lotka_Voltera_n4_x2.pdf> <./Lotka_Volt era_n4_x3.pdf> <./Lotka_Voltera_n4_x4.pdf> <./Lotka_Voltera_n4_u1.pdf> <./Lotka _Voltera_n4_u2.pdf> <./Lotka_Voltera_n4_u3.pdf> <./Lotka_Voltera_n4_u4.pdf>] [2 0] [21] [22] [23] [24] [25] [26] (./liouvillesos.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) Here is how much of TeX's memory you used: 12728 strings out of 493108 248630 string characters out of 6134853 376389 words of memory out of 5000000 15924 multiletter control sequences out of 15000+600000 16001 words of font info for 63 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 55i,12n,54p,2420b,515s stack positions out of 5000i,500n,10000p,200000b,80000s < /usr/local/texlive/2014/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb> Output written on liouvillesos.pdf (26 pages, 947816 bytes). 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