This is TeX, Version 3.14159 (Web2C 7.3.1) (format=latex 1999.11.16) 16 APR 2003 12:46 **speed11 (speed11.tex LaTeX2e <1998/12/01> patch level 1 Babel and hyphenation patterns for american, french, german, ngerman, n ohyphenation, loaded. 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Package hyperref Info: Hyper index ON on input line 2512. Package hyperref Info: backreferencing ON on input line 2517. Package hyperref Info: Link coloring ON on input line 2522. \c@Item=\count105 \c@Hfootnote=\count106 ) *hyperref using default driver hypertex* (/software/tetex-1.0/data/texmf/tex/latex/hyperref/hypertex.def File: hypertex.def 2002/04/20 v6.72o Hyperref driver for HyperTeX specials ) \c@fact=\count107 (speed11.aux) \openout1 = `speed11.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 113. LaTeX Font Info: ... okay on input line 113. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 113. LaTeX Font Info: ... okay on input line 113. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 113. LaTeX Font Info: ... okay on input line 113. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 113. LaTeX Font Info: ... okay on input line 113. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 113. 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(/software/tetex-1.0/data/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 1995/01/05 v2.2e AMS font definitions ) [1 ] Overfull \hbox (20.10252pt too wide) in paragraph at lines 165--172 []\OT1/cmr/m/it/12 The $\OML/cmm/m/it/12 n[]$ \OT1/cmr/m/it/12 term of the in-f i-nite se-quence $\OT1/cmr/m/n/12 1\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 2\OML/cmm /m/it/12 ; \OT1/cmr/m/n/12 4\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 6\OML/cmm/m/it/1 2 ; \OT1/cmr/m/n/12 9\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 12\OML/cmm/m/it/12 ; \O T1/cmr/m/n/12 16\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 20\OML/cmm/m/it/12 ; \OT1/cm r/m/n/12 25\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 30\OML/cmm/m/it/12 ; \OT1/cmr/m/n /12 36\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 42\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 4 9\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 56\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 64\OML /cmm/m/it/12 ; \OT1/cmr/m/n/12 72\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 81\OML/cmm/ m/it/12 ; [] $ [] [2] LaTeX Font Info: Try loading font information for U+euf on input line 379. (/software/tetex-1.0/data/texmf/tex/latex/amsfonts/ueuf.fd File: ueuf.fd 1995/01/05 v2.2e AMS font definitions ) [3] [4] [5] [6] [7] LaTeX Font Info: Try loading font information for OMS+cmr on input line 780. (/software/tetex-1.0/data/texmf/tex/latex/base/omscmr.fd File: omscmr.fd 1998/03/27 v2.5g Standard LaTeX font definitions ) 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 780. [8] LaTeX Font Info: Try loading font information for OMS+cmtt on input line 965 . LaTeX Font Info: No file OMScmtt.fd. on input line 965. LaTeX Font Warning: Font shape `OMS/cmtt/m/n' undefined (Font) using `OMS/cmsy/m/n' instead (Font) for symbol `textbraceleft' on input line 965. Underfull \hbox (badness 10000) in paragraph at lines 965--965 \OT1/cmtt/m/n/10.95 2*f(n+3)-2*f(n+1)+f(n), f(1)=1,f(2)=2,f(3)=4,f(4)=6\OMS/cmt t/m/n/10.95 g\OT1/cmtt/m/n/10.95 , [] [9] Underfull \hbox (badness 10000) in paragraph at lines 1029--1029 []$[]$ \OT1/cmr/bx/n/10.95 8(c) \OT1/cmtt/m/n/10.95 rsolve(\OMS/cmtt/m/n/10.9 5 f\OT1/cmtt/m/n/10.95 f(n+3) = f(n+2)+f(n+1)-f(n)+1, f(1)=1,f(2)=2,f(3)=4\OMS/ cmtt/m/n/10.95 g\OT1/cmtt/m/n/10.95 , f): [] Underfull \hbox (badness 10000) in paragraph at lines 1029--1029 \OT1/cmtt/m/n/10.95 rsolve(\OMS/cmtt/m/n/10.95 f\OT1/cmtt/m/n/10.95 f(n+4) = 2* f(n+3)-2*f(n+1)+f(n), f(1)=1,f(2)=2,f(3)=4,f(4)=6\OMS/cmtt/m/n/10.95 g\OT1/cmtt /m/n/10.95 , [] Underfull \hbox (badness 10000) in paragraph at lines 1029--1029 []$[]$ \OT1/cmr/bx/n/10.95 8(e) \OT1/cmtt/m/n/10.95 rsolve(\OMS/cmtt/m/n/10.9 5 f\OT1/cmtt/m/n/10.95 (n+1)*f(n+2) = 2*f(n+1)+(n+3)*f(n), f(1)=1,f(0)=0\OMS/cm tt/m/n/10.95 g\OT1/cmtt/m/n/10.95 , [] [10] Overfull \hbox (41.04765pt too wide) in paragraph at lines 1141--1141 []$[]$ \OT1/cmr/bx/n/10.95 10(c) \OT1/cmtt/m/n/10.95 ode3:=(1-x$[]$)*diff(F(x ),x,x)=(4+5*x-2*x$[]$+x$[]$)*diff(F(x),x)+(3-4*x+3*x$[]$)*F(x); [] Overfull \hbox (39.2253pt too wide) in paragraph at lines 1141--1141 []$[]$ \OT1/cmr/bx/n/10.95 10(e) \OT1/cmtt/m/n/10.95 ode5:=x*(1-x$[]$)*diff(F (x),x,x)=(1+6*x+3*x$[]$-4*x$[]$+2x$[]$)*F(x)+(-6-4x$[]$+4x$[]$)*F(x); [] [11] [12] Overfull \hbox (10.07532pt too wide) in paragraph at lines 1276--1278 []\OT1/cmr/m/n/12 For $\OML/cmm/m/it/12 P; Q$ \OT1/cmr/m/n/12 StdY-oungTab of $ \OML/cmm/m/it/12 n$ \OT1/cmr/m/n/12 with the same shape, then $[](\OML/cmm/m/it /12 n; \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 P; Q\OT1/cmr/m/n/12 ))[] = [](\OML/cmm /m/it/12 n; \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 Q; P\OT1/cmr/m/n/12 ))$ [] [13] Overfull \hbox (33.99828pt too wide) in paragraph at lines 1363--1376 \OT1/cmr/m/n/12 num-ber of tri-an-gles is $[](\OML/cmm/m/it/12 n \OMS/cmsy/m/n/ 12 ^^@ \OT1/cmr/m/n/12 2\OML/cmm/m/it/12 k\OT1/cmr/m/n/12 )$ which is item [][] 6[][][]. [] [] [14] (speed11.brf) \tf@brf=\write4 \openout4 = `speed11.brf'. [15] [16] [17] (speed11.aux) LaTeX Font Warning: Some font shapes were not available, defaults substituted. ) Here is how much of TeX's memory you used: 3485 strings out of 10901 43113 string characters out of 72120 287325 words of memory out of 506370 6379 multiletter control sequences out of 10000+0 23771 words of font info for 89 fonts, out of 400000 for 1000 14 hyphenation exceptions out of 1000 27i,26n,34p,226b,562s stack positions out of 300i,100n,500p,300000b,4000s Output written on speed11.dvi (17 pages, 108784 bytes).