This is pdfTeX, Version 3.1415926-1.40.9 (MiKTeX 2.7) (preloaded format=pdflatex 2010.9.1) 17 DEC 2010 15:36 entering extended mode **C:/Users/leyenda/Desktop/master/Programación/Trabajo.tex (C:/Users/leyenda/Desktop/master/Programación/Trabajo.tex LaTeX2e <2005/12/01> Babel and hyphenation patterns for english, spanish, loaded. 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Package babel Info: Making . an active character on input line 583. Package babel Info: Making < an active character on input line 628. Package babel Info: Making > an active character on input line 628. )) ("C:\Program Files\MiKTeX 2.7\tex\latex\graphics\graphicx.sty" Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR) ("C:\Program Files\MiKTeX 2.7\tex\latex\graphics\keyval.sty" Package: keyval 1999/03/16 v1.13 key=value parser (DPC) \KV@toks@=\toks18 ) ("C:\Program Files\MiKTeX 2.7\tex\latex\graphics\graphics.sty" Package: graphics 2006/02/20 v1.0o Standard LaTeX Graphics (DPC,SPQR) ("C:\Program Files\MiKTeX 2.7\tex\latex\graphics\trig.sty" Package: trig 1999/03/16 v1.09 sin cos tan (DPC) ) ("C:\Program Files\MiKTeX 2.7\tex\latex\00miktex\graphics.cfg" File: graphics.cfg 2007/01/18 v1.5 graphics configuration of teTeX/TeXLive ) Package graphics Info: Driver file: pdftex.def on input line 90. 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LaTeX Font Info: ... okay on input line 16. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 16. LaTeX Font Info: ... okay on input line 16. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 16. LaTeX Font Info: ... okay on input line 16. ("C:\Program Files\MiKTeX 2.7\tex\context\base\supp-pdf.tex" [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count91 \scratchdimen=\dimen106 \scratchbox=\box26 \nofMPsegments=\count92 \nofMParguments=\count93 \everyMPshowfont=\toks19 \MPscratchCnt=\count94 \MPscratchDim=\dimen107 \MPnumerator=\count95 \everyMPtoPDFconversion=\toks20 ) [1 {C:/ProgramData/MiKTeX/2.7/pdftex/config/pdftex.map}] (Trabajo.toc LaTeX Font Info: Try loading font information for U+msa on input line 3. ("C:\Program Files\MiKTeX 2.7\tex\latex\amsfonts\umsa.fd" File: umsa.fd 2009/06/22 v3.00 AMS symbols A ) LaTeX Font Info: Try loading font information for U+msb on input line 3. ("C:\Program Files\MiKTeX 2.7\tex\latex\amsfonts\umsb.fd" File: umsb.fd 2009/06/22 v3.00 AMS symbols B ) [1]) \tf@toc=\write3 [2] ! Package inputenc Error: Keyboard character used is undefined (inputenc) in inputencoding `latin1'. See the inputenc package documentation for explanation. Type H for immediate help. ... l.61 ...triz simétrica $n \times n$ Q, definimos  $\Delta_{k}$ como el deter... You need to provide a definition with \DeclareInputText or \DeclareInputMath before using this key. ! Package inputenc Error: Keyboard character used is undefined (inputenc) in inputencoding `latin1'. See the inputenc package documentation for explanation. Type H for immediate help. ... l.62 sólo si  $\Delta_{k} > 0$ para $k = 1,\ldots,n$ y definida negativa si ... You need to provide a definition with \DeclareInputText or \DeclareInputMath before using this key. [3] LaTeX Font Info: Try loading font information for T1+cmtt on input line 77. ("C:\Program Files\MiKTeX 2.7\tex\latex\base\t1cmtt.fd" File: t1cmtt.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) [4] [5] [6] [7] File: Dibujo.jpg Graphic file (type jpg) Overfull \hbox (1249.17514pt too wide) in paragraph at lines 278--278 []\T1/cmtt/m/n/12 (%i2) draw2d(key="nivel1",color=red,implicit((x-2)^2+(y-2)^2= 1,x,0,6,y,0,6), key="nivel2",color=orange,implicit((x-2)^2+(y-2)^2=2,x,0,6,y,0, 6), key="nivel3",color=violet,implicit((x-2)^2+(y-2)^2=3,x,0,6,y,0,6),k ey="restricción1",color=green,implicit(2*x+3*y-6=0,x,0,6,y,0,6),[] [] Overfull \hbox (1039.2764pt too wide) in paragraph at lines 278--278 []\T1/cmtt/m/n/12 key="restricción 2",color=blue,implicit(3*x+2*y-12=0,x,0,6,y, 0,6),key="restricción 3",color=black,implicit(x=0,x,0,6,y,0,6),key="restricción 4",color=black,implicit(y=0,x,0,6,y,0,6),title="Análisis gráfico de un problem a de programación no lineal");[] [] [8 ] [9] [10] File: Dibujo4.jpg Graphic file (type jpg) Overfull \hbox (4.33284pt too wide) detected at line 423 \OML/cmm/m/it/12 h\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 t\OT1/cmr/m/n/12 ) = \OML/c mm/m/it/12 f\OT1/cmr/m/n/12 (0[]25 \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 0[]25\OML /cmm/m/it/12 t; \OT1/cmr/m/n/12 0[]25 + 0[]75 \OMS/cmsy/m/n/12  \OML/cmm/m/it/ 12 t\OT1/cmr/m/n/12 ) = 4(0[]75\OML/cmm/m/it/12 t \OT1/cmr/m/n/12 + 0[]25) + 3( 0[]25 \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 0[]25\OML/cmm/m/it/12 t\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 2(0[]75\OML/cmm/m/it/12 t \OT1/cmr/m/n/12 + 0[]25)[] \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 (0[]25 \OMS/cmsy/m/n/12 \OT1/c mr/m/n/12 0[]25\OML/cmm/m/it/12 t\OT1/cmr/m/n/12 )[][] [] [11] [12 ] Overfull \hbox (2.12967pt too wide) in paragraph at lines 460--460 []\T1/cmtt/m/n/12 (%o12) [[t = 4 sqrt(37) + 25], [t = 25 - 4 sqrt(37)]][] [] File: Dibujo5.jpg Graphic file (type jpg) Overfull \hbox (139.33136pt too wide) detected at line 490 \OML/cmm/m/it/12 h\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 t\OT1/cmr/m/n/12 ) = \OML/c mm/m/it/12 f\OT1/cmr/m/n/12 (0[]0825 + 0[]9175\OML/cmm/m/it/12 t; \OT1/cmr/m/n/ 12 0[]7525 \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 0[]7525\OML/cmm/m/it/12 t\OT1/cmr /m/n/12 ) = 3(0[]9175\OML/cmm/m/it/12 t \OT1/cmr/m/n/12 + 0[]0825) + 4(0[]7525 \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 0[]7525\OML/cmm/m/it/12 t\OT1/cmr/m/n/12 ) \ OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 (0[]9175\OML/cmm/m/it/12 t \OT1/cmr/m/n/12 + 0[]0825)[] \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 2(0[]7525 \OMS/cmsy/m/n/12 \OT1 /cmr/m/n/12 0[]7525\OML/cmm/m/it/12 t\OT1/cmr/m/n/12 )[][] [] Overfull \hbox (22.14986pt too wide) detected at line 495 [] \OT1/cmr/m/n/12 = 3[]01(0[]7525 \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 0[]7525\O ML/cmm/m/it/12 t\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 2[]7525(0[ ]9175\OML/cmm/m/it/12 t \OT1/cmr/m/n/12 + 0[]0825)[] \OMS/cmsy/m/n/12 \OT1/cm r/m/n/12 0[]2575 = 0 \OMS/cmsy/m/n/12 ) \OML/cmm/m/it/12 t[] \OT1/cmr/m/n/12 = 0[]5136496\OML/cmm/m/it/12 ot[] \OT1/cmr/m/n/12 = 1[]671024[] [] [13 ] Overfull \hbox (63.8646pt too wide) in paragraph at lines 530--530 []\T1/cmtt/m/n/12 implicit(2.8125*x+3*y=3,x,0,4,y,0,4),key="Aproximación lineal -segunda iteración",color=red,[] [] File: Dibujo6.jpg Graphic file (type jpg) [14] Overfull \hbox (51.61313pt too wide) detected at line 552 \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]; x[]\OT1/cmr/m/n/12 ) = (0[]550425\OML/cm m/m/it/12 ; \OT1/cmr/m/n/12 0[]368725) + \OML/cmm/m/it/12 t\OT1/cmr/m/n/12 [(0\ OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 3) \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 (0[]550 425\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 0[]368725)] = (0[]550425 \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 0[]550425\OML/cmm/m/it/12 t; \OT1/cmr/m/n/12 0[]368725 + 2[] 631275\OML/cmm/m/it/12 t\OT1/cmr/m/n/12 )[] [] Overfull \hbox (289.46869pt too wide) detected at line 558 \OML/cmm/m/it/12 h\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 t\OT1/cmr/m/n/12 ) = \OML/c mm/m/it/12 f\OT1/cmr/m/n/12 (0[]550425 \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 0[]55 0425\OML/cmm/m/it/12 t; \OT1/cmr/m/n/12 0[]368725 + 2[]631275\OML/cmm/m/it/12 t \OT1/cmr/m/n/12 ) = \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 2(2[]631275\OML/cmm/m/it/ 12 t \OT1/cmr/m/n/12 + 0[]368725)[] + 4(2[]631275\OML/cmm/m/it/12 t \OT1/cmr/m/ n/12 + 0[]368725) + 3(0[]550425 \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 0[]550425\OM L/cmm/m/it/12 t\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 (0[]550425 \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 0[]550425\OML/cmm/m/it/12 t\OT1/cmr/m/n/12 ) [][] [] Overfull \hbox (119.21817pt too wide) detected at line 563 [] \OT1/cmr/m/n/12 = \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 10[]5251(2[]631275\OML/c mm/m/it/12 t \OT1/cmr/m/n/12 + 0[]368725) + 1[]651275(0[]550425 \OMS/cmsy/m/n/1 2 \OT1/cmr/m/n/12 0[]550425\OML/cmm/m/it/12 t\OT1/cmr/m/n/12 )[] + 8[]873825 = 0 \OMS/cmsy/m/n/12 ) \OML/cmm/m/it/12 t[] \OT1/cmr/m/n/12 = 57[]16547\OML/cmm /m/it/12 ot[] \OT1/cmr/m/n/12 = 0[]1920787[] [] [15 ] Overfull \hbox (63.8646pt too wide) in paragraph at lines 601--601 []\T1/cmtt/m/n/12 implicit(2.8125*x+3*y=3,x,0,4,y,0,4),key="Aproximación lineal -segunda iteración",color=red,[] [] Overfull \hbox (82.38507pt too wide) in paragraph at lines 601--601 []\T1/cmtt/m/n/12 implicit(2.98*x+0.99*y=3,x,0,4,y,0,4),key="Aproximación linea l-tercera iteración",color=green,[] [] [16] [17] [18] [19] Overfull \hbox (8.30316pt too wide) in paragraph at lines 793--793 []\T1/cmtt/m/n/12 % Debo realizar un procedimiento iterativo mientras el error sea mayor que la cota[] [] Overfull \hbox (39.17062pt too wide) in paragraph at lines 793--793 [] \T1/cmtt/m/n/12 fprintf('Se encontró la solución. Último valor calculado: %e %e \n', x0(1), x0(2));[] [] [20] Overfull \hbox (14.47665pt too wide) in paragraph at lines 793--793 []\T1/cmtt/m/n/12 fprintf('Se encontró la solución. La solución hallada es: %e %e \n', x0(1), x0(2));[] [] [21] Overfull \hbox (8.30316pt too wide) in paragraph at lines 887--887 []\T1/cmtt/m/n/12 % Debo realizar un procedimiento iterativo mientras el error sea mayor que la cota[] [] [22] Overfull \hbox (39.17062pt too wide) in paragraph at lines 887--887 [] \T1/cmtt/m/n/12 fprintf('Se encontró la solución. Último valor calculado: %e %e \n', x0(1), x0(2));[] [] Overfull \hbox (14.47665pt too wide) in paragraph at lines 887--887 []\T1/cmtt/m/n/12 fprintf('Se encontró la solución. La solución hallada es: %e %e \n', x0(1), x0(2));[] [] [23] [24] ! Package inputenc Error: Keyboard character used is undefined (inputenc) in inputencoding `latin1'. See the inputenc package documentation for explanation. Type H for immediate help. ... l.940 ...jes de coordenadas. A la vista del gráfi co, observamos que el míni... You need to provide a definition with \DeclareInputText or \DeclareInputMath before using this key. File: Dibujo7.jpg Graphic file (type jpg) [25 ] [26] ! Package inputenc Error: Keyboard character used is undefined (inputenc) in inputencoding `latin1'. See the inputenc package documentation for explanation. Type H for immediate help. ... l.1044 ...función $\textbf{l}(\lambda,\mu)$ es có ncava sobre cualquier subc... You need to provide a definition with \DeclareInputText or \DeclareInputMath before using this key. [27] [28] Overfull \hbox (28.60913pt too wide) in paragraph at lines 1058--1059 []\T1/cmr/m/n/12 Haciendo uso del mé-to-do sím-plex mo-di-fi-ca-do pa-ra pro-bl e-mas de pro-gra-ma-ción cua-drá-ti-ca,maximizar: [] LaTeX Warning: `!h' float specifier changed to `!ht'. LaTeX Warning: `!h' float specifier changed to `!ht'. [29] [30] Overfull \hbox (1063.97037pt too wide) in paragraph at lines 1180--1180 []\T1/cmtt/m/n/12 (%i7)draw2d(key="nivel1",color=red,implicit(15*x+30*y+4*x*y-2 *x^2-4*y^2=270,x,6,20,y,6,20),key="nivel2",color=orange,implicit(15*x+30*y+4*x* y-2*x^2-4*y^2=274,x,6,20,y,6,20),key="nivel3",color=grey,implicit(15*x+30*y+4*x *y-2*x^2-4*y^2=265,x,6,20,y,6,20),[] [] File: Dibujo8.jpg Graphic file (type jpg) [31] [32 ] [33] [34] [35] Overfull \hbox (8.30316pt too wide) in paragraph at lines 1364--1364 []\T1/cmtt/m/n/12 color=red,implicit(5*x-2*y=0,x,-1,10,y,-1,10),implicit(5*x-2* y=2,x,-1,10,y,-1,10),[] [] Overfull \hbox (8.30316pt too wide) in paragraph at lines 1364--1364 []\T1/cmtt/m/n/12 color=green,implicit(-x+4*y=0,x,-1,10,y,-1,10),implicit(-x+4* y=9,x,-1,10,y,-1,10),[] [] Overfull \hbox (20.65015pt too wide) in paragraph at lines 1364--1364 []\T1/cmtt/m/n/12 implicit(-x+4*y=4,x,-1,10,y,-1,10),color=yellow,implicit(-x+4 *y=-5,x,-1,10,y,-1,10),[] [] Overfull \hbox (249.06937pt too wide) in paragraph at lines 1364--1364 []\T1/cmtt/m/n/12 implicit(x=6,x,-1,10,y,-1,10),implicit(y=4,x,-1,10,y,-1,10),i mplicit(x=0,x,-1,10,y,-1,10),implicit(y=0,x,-1,10,y,-1,10));[] [] File: Dibujo2.jpg Graphic file (type jpg) [36] [37 ] File: Dibujo2.jpg Graphic file (type jpg) [38] [39] [40] Overfull \hbox (6.40767pt too wide) in paragraph at lines 1498--1499 \T1/cmr/m/n/12 Finalmente, la so-lu-ción pa-ra el pro-ble-ma com-ple-to, o sea, los va-lo-res óp-ti-mos de $\OML/cmm/m/it/12 x[]; x[]; x[]; u[]; u[]; u[]$\T1/ cmr/m/n/12 se [] [41] [42] [43] [44] [45] Overfull \hbox (85.02565pt too wide) detected at line 1676 \OML/cmm/m/it/12 min\OT1/cmr/m/n/12 2 \OMS/cmsy/m/n/12  \OT1/cmr/m/n/12 (\OML/ cmm/m/it/12 f[]\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 \OML/cmm/m/it/12 f\OT1/cmr/ m/n/12 2 = \OML/cmm/m/it/12 min\OT1/cmr/m/n/12 2 \OMS/cmsy/m/n/12  \OT1/cmr/m/ n/12 (15\OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + 15\OML/cmm/m/it/12 x[] \OT1/cmr/ m/n/12 + 25\OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + 25\OML/cmm/m/it/12 x[] \OT1/c mr/m/n/12 + 30\OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + 30\OML/cmm/m/it/12 x[]\OT1 /cmr/m/n/12 ) \OMS/cmsy/m/n/12 \OT1/cmr/m/n/12 (7\OML/cmm/m/it/12 x[] \OT1/cm r/m/n/12 + 8\OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + 10\OML/cmm/m/it/12 x[] \OT1/ cmr/m/n/12 + 6\OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 + 10\OML/cmm/m/it/12 x[] \OT 1/cmr/m/n/12 + 10\OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 ) [] [46] Overfull \hbox (6.09827pt too wide) in paragraph at lines 1701--1702 []\T1/cmr/m/n/12 Si asu-mi-mos una me-ta de 30000 en el pri-mer ob-je-ti-vo y o tra de 13000 en el se-gun-do,introduciendo [] [47] [48] [49] [50] [51] (Trabajo.aux) LaTeX Warning: There were multiply-defined labels. ) Here is how much of TeX's memory you used: 2014 strings out of 95333 23492 string characters out of 1184168 91429 words of memory out of 1500000 5208 multiletter control sequences out of 110000 16509 words of font info for 51 fonts, out of 3000000 for 5000 14 hyphenation exceptions out of 8191 25i,11n,27p,743b,329s stack positions out of 5000i,500n,10000p,200000b,50000s < C:\ProgramData\MiKTeX\2.7\fonts\pk\ljfour\jknappen\ec\dpi600\ectt1200.pk> Output written on Trabajo.pdf (52 pages, 710659 bytes). 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