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(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 123. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 123. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 123. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 123. [1 {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 143. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 143. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 143. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 143. [2 ] (./Ana3.toc) \tf@toc=\write4 \openout4 = `Ana3.toc'. 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(/usr/share/texlive/texmf-dist/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/n' in size <10.95> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 296. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 323. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 323. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 323. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 323. [6] Kapitel 1. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 323. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 323. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 325. 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[8] Overfull \hbox (3.89885pt too wide) in paragraph at lines 458--462 | [] $\OMS/cmsy/m/n/10.95 A \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 f;\OML/c mm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 f\OT1/cmr/m/n/10.95 1\OMS/cmsy/m/n/10.95 g\ OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 f\OT1/cmr/m/n/10.95 2\OMS/cmsy/m/n/10. 95 g\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 f\OT1/cmr/m/n/10.95 1\OML/cmm/m/i t/10.95 ; \OT1/cmr/m/n/10.95 2\OMS/cmsy/m/n/10.95 g\OML/cmm/m/it/10.95 ; \OMS/c msy/m/n/10.95 f\OT1/cmr/m/n/10.95 3\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 4\O ML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 5\OMS/cmsy/m/n/10.95 g\OML/cmm/m/it/10.9 5 ; \OMS/cmsy/m/n/10.95 f\OT1/cmr/m/n/10.95 1\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n /10.95 3\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 4\OML/cmm/m/it/10.95 ; \OT1/cm r/m/n/10.95 5\OMS/cmsy/m/n/10.95 g\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 f\O T1/cmr/m/n/10.95 2\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 3\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 4\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 5\OMS/cmsy/m/n/ 10.95 g\OML/cmm/m/it/10.95 ; X\OMS/cmsy/m/n/10.95 g$ \T1/cmr/m/n/10.95 ist ei-n e $\OML/cmm/m/it/10.95 ^^[$\T1/cmr/m/n/10.95 -Algebra. [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 507. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 507. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 507. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 507. [9] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 560. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 560. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 560. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 560. [10] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 617. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 617. 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[13] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 748. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 748. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 776. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 776. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 776. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 776. [14] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 817. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 817. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 817. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 817. 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[22] Overfull \hbox (22.14162pt too wide) in paragraph at lines 1199--1201 \T1/cmr/m/n/10.95 Dann $\OT1/cmr/m/n/10.95 3[] = \OML/cmm/m/it/10.95 ^^U[]\OT1/ cmr/m/n/10.95 ([\OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10.95 1\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 2][]) [] \OML/cmm/m/it/10.95 ^^U[]\OT1/cmr/m/n/10.95 ([][] \OML/cmm/m/it/10.95 q[] \OT1/cmr/m/n/10.95 + ) [] [][] \OML/cmm/m/it/10.95 ^^U[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 q[] \OT1/cmr/m/n/10.95 + ) [] [][] \OML/cmm/m/it/10.95 ^^U[]\OT1/cmr/m/n/10.95 ( ) \OMS/cmsy/m/n/10.95 ) [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1201. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1201. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1201. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1201. [23] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1209. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1209. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1209. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1209. [24] Kapitel 2. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1209. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1209. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1214. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1214. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1265. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1265. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1265. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1265. [25 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1310. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1310. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1310. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1310. [26] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1366. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1366. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1366. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1366. [27] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1428. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1428. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1428. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1428. [28] Overfull \hbox (4.26802pt too wide) in paragraph at lines 1467--1469 \T1/cmr/m/n/10.95 Sei $\OT1/cmr/m/n/10.95 \OMS/cmsy/m/n/10.95 2 B[]$ \T1/cmr/m/n/10.95 aus [][]Satz 1.26[][], $\OML/cmm/ m/it/10.95 f[] \OT1/cmr/m/n/10.95 := [][]\OML/cmm/m/it/10.95 ; x \OMS/cmsy/m/n /10.95 2 \OT1/cmr/m/n/10.95 $\T1/cmr/m/n/10.95 . Dann sind al-le $\OML/cmm/m/it/10.95 f[]$ \T1/cmr/m/n/10.9 5 mess-bar, aber $[][] [][] \OT1/cmr/m/n/10.95 = [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1482. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1482. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1482. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1482. [29] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1529. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1529. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1529. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1529. [30] Overfull \hbox (4.72794pt too wide) in paragraph at lines 1550--1552 \T1/cmr/m/n/10.95 für al-le $\OML/cmm/m/it/10.95 j \OT1/cmr/m/n/10.95 = 0\OML/c mm/m/it/10.95 ; [] ; n \OMS/cmsy/m/n/10.95 ^^A \OT1/cmr/m/n/10.95 2[]\OML/cmm/m /it/10.95 ; n \OMS/cmsy/m/n/10.95 2 \U/msb/m/n/10.95 N$\T1/cmr/m/n/10.95 . Dan n folgt, dass die Ver-ei-ni-gung $\OML/cmm/m/it/10.95 X \OT1/cmr/m/n/10.95 = [] [] \OML/cmm/m/it/10.95 A[]$ [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1589. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1589. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1589. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1589. [31] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1598. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1598. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1639. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1639. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1639. 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Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2044. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2044. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2044. [40] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2093. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2093. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2093. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2093. [41] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2116. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2116. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2116. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2116. [42] Kapitel 3. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2116. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2116. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2120. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2120. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2161. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2161. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2161. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2161. [43 ] LaTeX Font Info: Font shape `OMS/cmr/m/it' in size <10.95> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 2183. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2212. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2212. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2212. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2212. [44] Overfull \hbox (18.71443pt too wide) in paragraph at lines 2236--2240 \T1/cmr/m/n/10.95 Dann exis-tiert ei-ne mess-ba-re Funk-ti-on $\OML/cmm/m/it/10 .95 f \OT1/cmr/m/n/10.95 : \OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ! \OT1/cmr /m/n/10.95 [0\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 1\OT1/cmr/m/n/10.95 ]$ \ T1/cmr/m/n/10.95 mit $\OML/cmm/m/it/10.95 f[] [] f$ \T1/cmr/m/n/10.95 und $[][] [][] \OML/cmm/m/it/10.95 f[]dx \OT1/cmr/m/n/10.95 = [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2251. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2251. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2259. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2259. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2259. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2259. [45] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2302. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2302. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2302. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2302. [46] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2353. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2353. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2353. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2353. [47] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2390. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2390. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2390. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2390. [48] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2441. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2441. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2441. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2441. [49] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2481. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2481. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2481. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2481. [50] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2504. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2504. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2526. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2526. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2526. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2526. [51] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2601. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2601. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2601. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2601. [52] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2642. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2642. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2642. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2642. [53] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2697. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2697. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2697. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2697. [54] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2757. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2757. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2757. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2757. [55] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2815. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2815. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2815. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2815. [56] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2854. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2854. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2854. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2854. [57] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2894. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2894. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2894. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2894. [58] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2947. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2947. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2947. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2947. [59] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2997. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2997. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2997. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2997. [60] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3027. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3027. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3027. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3027. [61] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3053. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3053. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3075. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3075. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3075. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3075. [62] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3130. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3130. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3130. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3130. [63] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3173. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3173. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3173. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3173. [64] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3227. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3227. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3227. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3227. [65] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3283. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3283. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3283. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3283. [66] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3342. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3342. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3342. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3342. [67] Overfull \hbox (6.45691pt too wide) in paragraph at lines 3374--3375 [][]\T1/cmr/bx/n/10.95 Beispiel 3.36 \T1/cmr/m/n/10.95 (ro-ta-ti-ons-sym-me-tri -sche Funk-ti-on)\T1/cmr/bx/n/10.95 . []\T1/cmr/m/n/10.95 Sei $\OML/cmm/m/it/10 .95 I \OMS/cmsy/m/n/10.95 ^^Z \U/msb/m/n/10.95 R[]$ \T1/cmr/m/n/10.95 ein In-te r-vall, $\OML/cmm/m/it/10.95 a \OT1/cmr/m/n/10.95 = [] \OML/cmm/m/it/10.95 I[]; b \OT1/cmr/m/n/10.95 = [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3399. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3399. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3399. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3399. [68] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3454. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3454. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3454. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3454. [69] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3468. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3468. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3468. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3468. [70] Kapitel 4. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3468. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3468. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3472. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3472. Overfull \hbox (4.56155pt too wide) in paragraph at lines 3490--3491 []\T1/cmr/m/n/10.95 Wenn in [][]Def 4.1[][] $\OML/cmm/m/it/10.95 \OMS/cmsy/m/ n/10.95 2 \OML/cmm/m/it/10.95 C[]\OT1/cmr/m/n/10.95 ([]\OML/cmm/m/it/10.95 ; \U /msb/m/n/10.95 R[]\OT1/cmr/m/n/10.95 )$\T1/cmr/m/n/10.95 , dann gilt auch $\OML /cmm/m/it/10.95 [] \OMS/cmsy/m/n/10.95 2 \OML/cmm/m/it/10.95 C[]\OT1/cmr/m/n/1 0.95 ([]\OML/cmm/m/it/10.95 ; \U/msb/m/n/10.95 R[]\OT1/cmr/m/n/10.95 )$\T1/cmr/ m/n/10.95 . [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3519. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3519. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3519. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3519. [71 ] Overfull \hbox (20.15868pt too wide) in paragraph at lines 3557--3558 \T1/cmr/m/n/10.95 Sei $\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 2 \OML/cmm/m/i t/10.95 @D$\T1/cmr/m/n/10.95 , $\OML/cmm/m/it/10.95 F$ \T1/cmr/m/n/10.95 sei ei -ne [][]Pa-ra-me-tri-sie-rung[][] wie in [][]Def 4.1[][] mit $\OML/cmm/m/it/10. 95 F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 t\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/ it/10.95 x$\T1/cmr/m/n/10.95 . Sei $\OML/cmm/m/it/10.95 ^^^ \OMS/cmsy/m/n/10.95 2 \OML/cmm/m/it/10.95 C[]\OT1/cmr/m/n/10.95 ((\OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/ m/n/10.95 1\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 1)\OML/cmm/m/it/10.95 ; \U/ msb/m/n/10.95 R[]\OT1/cmr/m/n/10.95 )$ [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3564. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3564. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3564. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3564. [72] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3625. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3625. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3625. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3625. [73] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3660. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3660. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3660. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3660. [74] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3675. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3675. Overfull \hbox (5.47156pt too wide) in paragraph at lines 3685--3686 []$\OML/cmm/m/it/10.95 T[]$ \T1/cmr/m/n/10.95 ist ein Par-al-le-lo-gramm in $[] []$, das von $\OML/cmm/m/it/10.95 v[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 @[]F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 s[]; t[]\OT1/cmr/m/n/10.95 )^^A\OML /cmm/m/it/10.95 s[]$ \T1/cmr/m/n/10.95 und $\OML/cmm/m/it/10.95 v[] \OT1/cmr/m/ n/10.95 = \OML/cmm/m/it/10.95 @[]F\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 s[]; t[]\OT1/cmr/m/n/10.95 )^^A\OML/cmm/m/it/10.95 t[]$\T1/cmr/m/n/10.95 . [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3707. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3707. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3707. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3707. [75] Overfull \hbox (18.2384pt too wide) in paragraph at lines 3707--3708 [][]\T1/cmr/bx/n/10.95 Definition 4.8. []\T1/cmr/m/n/10.95 Sei $\OML/cmm/m/it/1 0.95 F \OT1/cmr/m/n/10.95 : \OML/cmm/m/it/10.95 U \OMS/cmsy/m/n/10.95 ! \U/msb/ m/n/10.95 R[]$ \T1/cmr/m/n/10.95 ei-ne [][]Pa-ra-me-tri-sie-rung[][]. Dann ist die []| [] | [] [] Overfull \hbox (1.2073pt too wide) in paragraph at lines 3731--3732 \T1/cmr/m/n/10.95 sphä-ri-schen Ko-or-di-na-ten (sie-he [][]Bsp 4.3[][]a), [][] Bsp 4.6[][]a)). Dann gilt für $\OML/cmm/m/it/10.95 ' \OMS/cmsy/m/n/10.95 2 \OT1 /cmr/m/n/10.95 (0\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 2\OML/cmm/m/it/10.95 ^^Y\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 ^^B \OMS/cmsy/ m/n/10.95 2 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3800. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3800. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3800. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3800. [76] Overfull \hbox (6.0945pt too wide) in paragraph at lines 3815--3816 []\T1/cmr/m/n/10.95 Sei fer-ner $\OML/cmm/m/it/10.95 f$ \T1/cmr/m/n/10.95 po-si -tiv oder $\OML/cmm/m/it/10.95 f \OMS/cmsy/m/n/10.95 ^^N \OML/cmm/m/it/10.95 F \OMS/cmsy/m/n/10.95 ^^A []$ \T1/cmr/m/n/10.95 in-te-grier-bar, dann de-fi-nie-r en wir das | [] [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3852. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3852. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3852. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3852. [77] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3898. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3898. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3898. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3898. [78] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3937. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3937. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3937. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3937. [79] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3974. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3974. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3974. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3974. [80] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4036. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4036. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4036. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4036. [81] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4073. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4073. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4073. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4073. [82] Overfull \hbox (29.5642pt too wide) in paragraph at lines 4091--4093 \OML/cmm/m/it/10.95 Q\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]; [] ; x[]\OT1/ cmr/m/n/10.95 ) := (\OMS/cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 x[]; x[]; x[]; [ ] ; x[]; x[]\OT1/cmr/m/n/10.95 )$ $(\OML/cmm/m/it/10.95 d \OMS/cmsy/m/n/10.95 ^ ^U \OT1/cmr/m/n/10.95 3)$\T1/cmr/m/n/10.95 . Dann folgt $[]\OT1/cmr/m/n/10.95 ( \OML/cmm/m/it/10.95 W[]\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 @B\OT1/cmr/m/ n/10.95 (0\OML/cmm/m/it/10.95 ; R\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 n\OT1/ cmr/m/n/10.95 (\U/msb/m/n/10.95 R[] \OMS/cmsy/m/n/10.95 ^^B [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4113. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4113. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4113. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4113. [83] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4118. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4118. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4156. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4156. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4156. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4156. [84] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4215. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4215. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4215. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4215. [85] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4252. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4252. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4252. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4252. [86] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4294. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4294. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4294. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4294. [87] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4356. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4356. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4356. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4356. [88] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4408. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4408. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4408. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4408. [89] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4450. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4450. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4450. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4450. [90] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4502. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4502. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4502. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4502. [91] Overfull \hbox (23.3862pt too wide) in paragraph at lines 4525--4526 []\T1/cmr/bx/n/10.95 Beispiel. []\T1/cmr/m/n/10.95 Ei-ne Ku-gel-kap-pe lässt si ch mit dem Graph von $\OML/cmm/m/it/10.95 h\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10 .95 x[]; x[]; x[]\OT1/cmr/m/n/10.95 ) = []$ [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4537. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4537. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4537. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4537. [92] Kapitel 5. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4537. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4537. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4544. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4544. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4544. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 4544. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4544. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4585. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4585. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4585. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4585. [93 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4646. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4646. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4646. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4646. [94] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4688. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4688. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4688. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4688. [95] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4753. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4753. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4753. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4753. [96] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4812. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4812. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4812. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4812. [97] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4858. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4858. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4858. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4858. [98] Overfull \hbox (1.63898pt too wide) in paragraph at lines 4895--4896 []\T1/cmr/m/n/10.95 Also folgt aus Kon-ver-genz $\OML/cmm/m/it/10.95 f[] [] f$ \T1/cmr/m/n/10.95 in $\OMS/cmsy/m/n/10.95 L[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/ 10.95 X\OT1/cmr/m/n/10.95 )$ | [] \T1/cmr/m/n/10.95 die punkt-wei-se Kon-ver- genz $\OML/cmm/m/it/10.95 f[] [] [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4913. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4913. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4913. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4913. [99] Package atveryend Info: Empty hook `BeforeClearDocument' on input line 4949. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4949. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4949. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4949. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4949. [100] Package atveryend Info: Empty hook `AfterLastShipout' on input line 4949. (./Ana3.aux) Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 4949. Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 4949. Package rerunfilecheck Info: File `Ana3.out' has not changed. (rerunfilecheck) Checksum: A51F58081080C012BD1B1398551ADE07;1509. Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 4949. ) (\end occurred inside a group at level 4) ### simple group (level 4) entered at line 1945 ({) ### simple group (level 3) entered at line 771 ({) ### simple group (level 2) entered at line 542 ({) ### simple group (level 1) entered at line 487 ({) ### bottom level Here is how much of TeX's memory you used: 9030 strings out of 493304 126407 string characters out of 6139872 273271 words of memory out of 5000000 11845 multiletter control sequences out of 15000+600000 27377 words of font info for 72 fonts, out of 8000000 for 9000 957 hyphenation exceptions out of 8191 40i,28n,51p,751b,863s stack positions out of 5000i,500n,10000p,200000b,80000s {/usr/share/texmf/fonts/enc/dvips/cm-super/cm-super-t1.enc} Output written on Ana3.pdf (102 pages, 912939 bytes). PDF statistics: 2495 PDF objects out of 2984 (max. 8388607) 2119 compressed objects within 22 object streams 528 named destinations out of 1000 (max. 500000) 177 words of extra memory for PDF output out of 10000 (max. 10000000)