This is pdfeTeX, Version 3.141592-1.21a-2.2 (Web2C 7.5.4) (format=pdflatex 2008.4.24) 16 FEB 2011 14:50 entering extended mode **na (./na.tex LaTeX2e <2003/12/01> Babel and hyphenation patterns for american, french, german, ngerman, b ahasa, basque, bulgarian, catalan, croatian, czech, danish, dutch, esperanto, e stonian, finnish, greek, icelandic, irish, italian, latin, magyar, norsk, polis h, portuges, romanian, russian, serbian, slovak, slovene, spanish, swedish, tur kish, ukrainian, nohyphenation, loaded. 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[9 ] [10 ] (./chap_pre.tex Chapter 1. ) (./pre_01.tex [1 ] LaTeX Font Info: Try loading font information for OMS+cmr on input line 84. (/usr/share/texmf/tex/latex/base/omscmr.fd File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) LaTeX Font Info: Font shape `OMS/cmr/m/it' in size <12> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 84. [2] [3] [4] Overfull \hbox (3.00822pt too wide) in paragraph at lines 346--350 \OT1/cmr/m/it/12 This means that the ap-prox-i-ma-tion $\OT1/cmr/m/n/12 0\OML/c mm/m/it/12 :\OT1/cmr/m/n/12 99995$ \OT1/cmr/m/it/12 matches at least the first five dig-its of $[]\OT1/cmr/m/n/12 (0\OML/cmm/m/it/12 :\OT1/cmr/m/n/12 01)$\OT1 /cmr/m/it/12 . [] ) (./pre_02.tex [5] [6] LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <12> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 102. [7] [8] [9]) (./pre_03.tex [10] [11] Package amsmath Warning: Foreign command \atop; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 154. [12] [13] [14]) (./pre_04.tex [15] [16] [17]) (./chap_cmp.tex [18] Chapter 2. ) (./cmp_01.tex [19 ] [20] [21] File: bit32.ps Graphic file (type eps) [22 Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored!] File: bit64.ps Graphic file (type eps) [23 Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored!]) (./cmp_02.tex [24] [25] [26] [27] [28] [29] [30] [31]) (./cmp_03.tex [32] Underfull \vbox (badness 1748) has occurred while \output is active [] [33]) (./cmp_04.tex [34]) (./chap_dir.tex [35] [36 ] Chapter 3. ) (./dir_01.tex [37] [38] [39]) (./dir_02.tex [40] [41] [42] [43] [44] [45] [46] Overfull \hbox (5.54247pt too wide) in paragraph at lines 681--694 \OT1/cmr/m/n/12 we see that $\OML/cmm/m/it/12 u[] \OT1/cmr/m/n/12 = \OML/cmm/m/ it/12 a[]; u[] \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 a[]; [] ; u[] \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 a[]$\OT1/cmr/m/n/12 . Once $\OML/cmm/m/it/12 u[]$ \OT1/cmr/ m/n/12 is de-ter-mined, $\OML/cmm/m/it/12 `[] \OT1/cmr/m/n/12 = \OML/cmm/m/it/1 2 a[]=u[]; `[] \OT1/cmr/m/n/12 = [] [47] Overfull \hbox (3.75726pt too wide) in paragraph at lines 799--804 []\OT1/cmr/m/it/12 Given a non-sin-gu-lar square ma-trix $\OML/cmm/m/it/12 A \O MS/cmsy/m/n/12 2 [] [48] [49]) (./dir_03.tex [50] [51] [52] Overfull \hbox (14.00568pt too wide) in paragraph at lines 448--454 []\OT1/cmr/m/it/12 Given a non-sin-gu-lar square [] Underfull \vbox (badness 1490) has occurred while \output is active [] [53] [54] [55] Overfull \hbox (9.69298pt too wide) in paragraph at lines 850--855 []\OT1/cmr/m/it/12 Let $\OML/cmm/m/it/12 A \OMS/cmsy/m/n/12 2 \U/msb/m/n/12 R[] $ [] [56] Underfull \vbox (badness 1354) has occurred while \output is active [] [57]) (./dir_04.tex [58] [59] [60] [61] [62] [63]) (./dir_05.tex [64] [65]) (./chap_itr.tex [66] Chapter 4. ) (./itr_01.tex [67 ] [68] [69] [70]) (./itr_02.tex [71] [72] [73] [74] [75]) (./chap_nwt.tex [76] Chapter 5. ) (./nwt_01.tex Missing character: There is no   in font cmti12! [77 ]) (./nwt_02.tex [78] [79]) (./nwt_03.tex [80] [81] [82] [83] [84] [85] [86]) (./nwt_04.tex [87] Overfull \hbox (35.93932pt too wide) in alignment at lines 142--165 [][][] [] [] Underfull \vbox (badness 1466) has occurred while \output is active [] [88] [89] [90] [91] Overfull \hbox (1.07364pt too wide) in paragraph at lines 538--544 []\OT1/cmr/m/it/12 Given a $\OML/cmm/m/it/12 n$\OT1/cmr/m/it/12 -variable non-l in-ear func-tion $\OML/cmm/m/it/12 F \OT1/cmr/m/n/12 : \U/msb/m/n/12 R[] \OMS/c msy/m/n/12 ! [] [92]) (./nwt_05.tex [93] [94] [95] Overfull \hbox (58.48738pt too wide) in alignment at lines 262--278 [][][] [] [] [96] [97]) (./chap_ipl.tex [98] Chapter 6. ) (./ipl_01.tex Overfull \hbox (5.60059pt too wide) in paragraph at lines 28--31 []\OT1/cmr/m/it/12 Suppose that $\OML/cmm/m/it/12 f$ \OT1/cmr/m/it/12 is de-fin ed and [] [99 ] [100] [101] [102] Overfull \hbox (1.73067pt too wide) in alignment at lines 398--403 [][][] [] [] [103] [104] [105] [106] [107] [108] [109] [110]) (./ipl_02.tex [111] [112] [113] Overfull \hbox (16.19156pt too wide) detected at line 205 \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; [] \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; [] \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/i t/12 ; [] \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]; y[]\OT1/cmr/m/n/12 ) [] Overfull \hbox (11.70767pt too wide) detected at line 217 \OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; \ OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; [] ; \OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; [] \OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; y[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/1 2 : [] Overfull \hbox (15.3256pt too wide) in paragraph at lines 262--267 []\OT1/cmr/m/it/12 Given ar- [] [114] [115]) (./ipl_03.tex [116] File: inp_03-3.eps Graphic file (type eps) File: inp_03-4.eps Graphic file (type eps) [117 Non-PDF special ignored! Non-PDF special ignored!] [118] Overfull \hbox (6.99466pt too wide) detected at line 336 [] [] \OT1/cmr/m/n/12 = [] [] ) (./chap_int.tex [119] [120 ] Chapter 7. ) (./int_01.tex [121] [122] Overfull \hbox (23.76546pt too wide) in alignment at lines 217--228 [][][] [] [] [123]) (./int_02.tex [124] [125] [126] [127] Overfull \hbox (12.71912pt too wide) detected at line 360 []$[] [][] \OML/cmm/m/it/12 f\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x\OT1/cmr/m/n /12 ) \OML/cmm/m/it/12 dx \OT1/cmr/m/n/12 = [] [][]$ [] [128] Overfull \hbox (9.55273pt too wide) in paragraph at lines 442--444 []\OT1/cmr/m/it/12 For a given func-tion $\OML/cmm/m/it/12 f\OT1/cmr/m/n/12 (\O ML/cmm/m/it/12 x\OT1/cmr/m/n/12 )$ \OT1/cmr/m/it/12 and closed [] [129] [130] Overfull \hbox (1.9916pt too wide) in paragraph at lines 545--547 []\OT1/cmr/m/it/12 For a given func-tion $\OML/cmm/m/it/12 f\OT1/cmr/m/n/12 (\O ML/cmm/m/it/12 x\OT1/cmr/m/n/12 )$ \OT1/cmr/m/it/12 and closed [] [131] Underfull \vbox (badness 10000) has occurred while \output is active [] [132] [133] Overfull \hbox (10.01363pt too wide) in alignment at lines 806--827 [][][] [] [] Underfull \vbox (badness 10000) has occurred while \output is active [] [134]) (./int_03.tex [135] [136] [137] [138] [139] [140] [141] [142] [143]) (./int_04.tex) (./int_05.tex Overfull \hbox (1.5378pt too wide) in alignment at lines 11--17 [][][] [] [] [144] [145]) (./chap_ode.tex [146] Chapter 8. ) (./ode_01.tex Overfull \hbox (10.53204pt too wide) in paragraph at lines 14--18 \OT1/cmr/m/it/12 then the IVP (8.1[]) has a so-lu-tion $\OML/cmm/m/it/12 y\OT1/ cmr/m/n/12 (\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 )$ \OT1/cmr/m/it/12 for $\OMS/cms y/m/n/12 j\OML/cmm/m/it/12 x \OMS/cmsy/m/n/12 ^^@ \OML/cmm/m/it/12 x[]\OMS/cmsy /m/n/12 j ^^T []f\OML/cmm/m/it/12 ; []\OMS/cmsy/m/n/12 g$\OT1/cmr/m/it/12 , wh ere $\OML/cmm/m/it/12 M \OT1/cmr/m/n/12 = [] \OMS/cmsy/m/n/12 j\OML/cmm/m/it/12 f\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x; y\OT1/cmr/m/n/12 )\OMS/cmsy/m/n/12 j$\OT 1/cmr/m/it/12 . [] ) (./ode_02.tex [147 ]) (./ode_03.tex [148] [149]) (./ode_04.tex [150] [151]) (./chap_bvp.tex [152] Chapter 9. ) (./bvp_01.tex [153 ] [154] [155] [156] [157]) (./bvp_02.tex [158] [159] [160]) (./bvp_03.tex) (./bvp_04.tex [161] [162]) [163] [164 ] (./na.aux) ) Here is how much of TeX's memory you used: 1989 strings out of 94500 21814 string characters out of 1176766 79791 words of memory out of 1000000 5004 multiletter control sequences out of 10000+50000 12111 words of font info for 45 fonts, out of 500000 for 2000 580 hyphenation exceptions out of 1000 27i,15n,24p,218b,557s stack positions out of 1500i,500n,5000p,200000b,5000s PDF statistics: 593 PDF objects out of 300000 0 named destinations out of 131072 1 words of extra memory for PDF output out of 65536 Output written on na.pdf (174 pages, 697844 bytes).