01LAB1
Z WikiSkripta FJFI ČVUT v Praze
Výstup z překladu
This is pdfTeX, Version 3.14159265-2.6-1.40.17 (TeX Live 2016/Debian) (preloaded format=pdflatex 2019.2.6) 29 MAY 2023 11:10 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **01LAB1_30aa57da.tex (./01LAB1_30aa57da.tex LaTeX2e <2017/01/01> patch level 3 Babel <3.9r> and hyphenation patterns for 83 language(s) loaded. 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253) defining Unicode char U+00FE (decimal 254) defining Unicode char U+00FF (decimal 255) defining Unicode char U+0100 (decimal 256) defining Unicode char U+0101 (decimal 257) defining Unicode char U+0102 (decimal 258) defining Unicode char U+0103 (decimal 259) defining Unicode char U+0104 (decimal 260) defining Unicode char U+0105 (decimal 261) defining Unicode char U+0106 (decimal 262) defining Unicode char U+0107 (decimal 263) defining Unicode char U+0108 (decimal 264) defining Unicode char U+0109 (decimal 265) defining Unicode char U+010A (decimal 266) defining Unicode char U+010B (decimal 267) defining Unicode char U+010C (decimal 268) defining Unicode char U+010D (decimal 269) defining Unicode char U+010E (decimal 270) defining Unicode char U+010F (decimal 271) defining Unicode char U+0110 (decimal 272) defining Unicode char U+0111 (decimal 273) defining Unicode char U+0112 (decimal 274) defining Unicode char U+0113 (decimal 275) defining Unicode char U+0114 (decimal 276) defining Unicode char U+0115 (decimal 277) defining Unicode char U+0116 (decimal 278) defining Unicode char U+0117 (decimal 279) defining Unicode char U+0118 (decimal 280) defining Unicode char U+0119 (decimal 281) defining Unicode char U+011A (decimal 282) defining Unicode char U+011B (decimal 283) defining Unicode char U+011C (decimal 284) defining Unicode char U+011D (decimal 285) defining Unicode char U+011E (decimal 286) defining Unicode char U+011F (decimal 287) defining Unicode char U+0120 (decimal 288) defining Unicode char U+0121 (decimal 289) defining Unicode char U+0122 (decimal 290) defining Unicode char U+0123 (decimal 291) defining Unicode char U+0124 (decimal 292) defining Unicode char U+0125 (decimal 293) defining Unicode char U+0128 (decimal 296) defining Unicode char U+0129 (decimal 297) defining Unicode char U+012A (decimal 298) defining Unicode char U+012B (decimal 299) defining Unicode char U+012C (decimal 300) defining Unicode char U+012D (decimal 301) defining Unicode char U+012E (decimal 302) defining Unicode char U+012F (decimal 303) defining Unicode char U+0130 (decimal 304) defining Unicode char U+0131 (decimal 305) defining Unicode char U+0132 (decimal 306) defining Unicode char U+0133 (decimal 307) defining Unicode char U+0134 (decimal 308) defining Unicode char U+0135 (decimal 309) defining Unicode char U+0136 (decimal 310) defining Unicode char U+0137 (decimal 311) defining Unicode char U+0139 (decimal 313) defining Unicode char U+013A (decimal 314) defining Unicode char U+013B (decimal 315) defining Unicode char U+013C (decimal 316) defining Unicode char U+013D (decimal 317) defining Unicode char U+013E (decimal 318) defining Unicode char U+0141 (decimal 321) defining Unicode char U+0142 (decimal 322) defining Unicode char U+0143 (decimal 323) defining Unicode char U+0144 (decimal 324) defining Unicode char U+0145 (decimal 325) defining Unicode char U+0146 (decimal 326) defining Unicode char U+0147 (decimal 327) defining Unicode char U+0148 (decimal 328) defining Unicode char U+014A (decimal 330) defining Unicode char U+014B (decimal 331) defining Unicode char U+014C (decimal 332) defining Unicode char U+014D (decimal 333) defining Unicode char U+014E (decimal 334) defining Unicode char U+014F (decimal 335) defining Unicode char U+0150 (decimal 336) defining Unicode char U+0151 (decimal 337) defining Unicode char U+0152 (decimal 338) defining Unicode char U+0153 (decimal 339) defining Unicode char U+0154 (decimal 340) defining Unicode char U+0155 (decimal 341) defining Unicode char U+0156 (decimal 342) defining Unicode char U+0157 (decimal 343) defining Unicode char U+0158 (decimal 344) defining Unicode char U+0159 (decimal 345) defining Unicode char U+015A (decimal 346) defining Unicode char U+015B (decimal 347) defining Unicode char U+015C (decimal 348) defining Unicode char U+015D (decimal 349) defining Unicode char U+015E (decimal 350) defining Unicode char U+015F (decimal 351) defining Unicode char U+0160 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377) defining Unicode char U+017A (decimal 378) defining Unicode char U+017B (decimal 379) defining Unicode char U+017C (decimal 380) defining Unicode char U+017D (decimal 381) defining Unicode char U+017E (decimal 382) defining Unicode char U+01CD (decimal 461) defining Unicode char U+01CE (decimal 462) defining Unicode char U+01CF (decimal 463) defining Unicode char U+01D0 (decimal 464) defining Unicode char U+01D1 (decimal 465) defining Unicode char U+01D2 (decimal 466) defining Unicode char U+01D3 (decimal 467) defining Unicode char U+01D4 (decimal 468) defining Unicode char U+01E2 (decimal 482) defining Unicode char U+01E3 (decimal 483) defining Unicode char U+01E6 (decimal 486) defining Unicode char U+01E7 (decimal 487) defining Unicode char U+01E8 (decimal 488) defining Unicode char U+01E9 (decimal 489) defining Unicode char U+01EA (decimal 490) defining Unicode char U+01EB (decimal 491) defining Unicode char U+01F0 (decimal 496) defining Unicode char U+01F4 (decimal 500) defining Unicode char U+01F5 (decimal 501) defining Unicode char U+0218 (decimal 536) defining Unicode char U+0219 (decimal 537) defining Unicode char U+021A (decimal 538) defining Unicode char U+021B (decimal 539) defining Unicode char U+0232 (decimal 562) defining Unicode char U+0233 (decimal 563) defining Unicode char U+1E02 (decimal 7682) defining Unicode char U+1E03 (decimal 7683) defining Unicode char U+200C (decimal 8204) defining Unicode char U+2010 (decimal 8208) defining Unicode char U+2011 (decimal 8209) defining Unicode char U+2012 (decimal 8210) defining Unicode char U+2013 (decimal 8211) defining Unicode char U+2014 (decimal 8212) defining Unicode char U+2015 (decimal 8213) defining Unicode char U+2018 (decimal 8216) defining Unicode char U+2019 (decimal 8217) defining Unicode char U+201A (decimal 8218) defining Unicode char U+201C (decimal 8220) defining Unicode char U+201D (decimal 8221) defining Unicode char U+201E (decimal 8222) defining Unicode char U+2030 (decimal 8240) defining Unicode char U+2031 (decimal 8241) defining Unicode char U+2039 (decimal 8249) defining Unicode char U+203A (decimal 8250) defining Unicode char U+2423 (decimal 9251) defining Unicode char U+1E20 (decimal 7712) defining Unicode char U+1E21 (decimal 7713) ) Now handling font encoding OT1 ... ... processing UTF-8 mapping file for font encoding OT1 (/usr/share/texlive/texmf-dist/tex/latex/base/ot1enc.dfu File: ot1enc.dfu 2017/01/28 v1.1t UTF-8 support for inputenc defining Unicode char U+00A0 (decimal 160) defining Unicode char U+00A1 (decimal 161) defining Unicode char U+00A3 (decimal 163) defining Unicode char U+00AD (decimal 173) defining Unicode char U+00B8 (decimal 184) defining Unicode char U+00BF (decimal 191) defining Unicode char U+00C5 (decimal 197) defining Unicode char U+00C6 (decimal 198) defining Unicode char U+00D8 (decimal 216) defining Unicode char U+00DF (decimal 223) defining Unicode char U+00E6 (decimal 230) defining Unicode char U+00EC (decimal 236) defining Unicode char U+00ED (decimal 237) defining Unicode char U+00EE (decimal 238) defining Unicode char U+00EF (decimal 239) defining Unicode char U+00F8 (decimal 248) defining Unicode char U+0131 (decimal 305) defining Unicode char U+0141 (decimal 321) defining Unicode char U+0142 (decimal 322) defining Unicode char U+0152 (decimal 338) defining Unicode char U+0153 (decimal 339) defining Unicode char U+0174 (decimal 372) defining Unicode char U+0175 (decimal 373) defining Unicode char U+0176 (decimal 374) defining Unicode char U+0177 (decimal 375) defining Unicode char U+0218 (decimal 536) defining Unicode char U+0219 (decimal 537) defining Unicode char U+021A (decimal 538) defining Unicode char U+021B (decimal 539) defining Unicode char U+2013 (decimal 8211) defining Unicode char U+2014 (decimal 8212) defining Unicode char U+2018 (decimal 8216) defining Unicode char U+2019 (decimal 8217) defining Unicode char U+201C (decimal 8220) defining Unicode char U+201D (decimal 8221) ) Now handling font encoding OMS ... ... processing UTF-8 mapping file for font encoding OMS (/usr/share/texlive/texmf-dist/tex/latex/base/omsenc.dfu File: omsenc.dfu 2017/01/28 v1.1t UTF-8 support for inputenc defining Unicode char U+00A7 (decimal 167) defining Unicode char U+00B6 (decimal 182) defining Unicode char U+00B7 (decimal 183) defining Unicode char U+2020 (decimal 8224) defining Unicode char U+2021 (decimal 8225) defining Unicode char U+2022 (decimal 8226) ) Now handling font encoding OMX ... ... no UTF-8 mapping file for font encoding OMX Now handling font encoding U ... ... no UTF-8 mapping file for font encoding U defining Unicode char U+00A9 (decimal 169) defining Unicode char U+00AA (decimal 170) defining Unicode char U+00AE (decimal 174) defining Unicode char U+00BA (decimal 186) defining Unicode char U+02C6 (decimal 710) defining Unicode char U+02DC (decimal 732) defining Unicode char U+200C (decimal 8204) defining Unicode char U+2026 (decimal 8230) defining Unicode char 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LaTeX Error: Command \uv already defined. Or name \end... illegal, see p.192 of the manual. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.8 ...nd\uv[1]{\quotedblbase #1\textquotedblleft} % Your command was ignored. Type I <command> <return> to replace it with another command, or <return> to continue without it. ) (./01LAB1_30aa57da.aux) \openout1 = `01LAB1_30aa57da.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 6. LaTeX Font Info: ... okay on input line 6. LaTeX Font Info: External font `cmex10' loaded for size (Font) <10.95> on input line 13. LaTeX Font Info: External font `cmex10' loaded for size (Font) <8> on input line 13. LaTeX Font Info: External font `cmex10' loaded for size (Font) <6> on input line 13. LaTeX Font Info: Try loading font information for OMS+cmr on input line 14. (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd File: omscmr.fd 2014/09/29 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 14. Underfull \hbox (badness 10000) in paragraph at lines 28--36 [] [1 {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] [3] Overfull \hbox (1.05698pt too wide) in paragraph at lines 247--251 []\OT1/cmr/m/n/10.95 A) Ne-cht[] $\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 2$\ OT1/cmr/bx/n/10.95 N\OT1/cmr/m/n/10.95 . Vek-to-rov^^Sy pro-stor \OT1/cmr/bx/n/ 10.95 T$[]$ \OT1/cmr/m/n/10.95 nad t^^Telesem \OT1/cmr/bx/n/10.95 T \OT1/cmr/m/ n/10.95 je pro-stor, kde vek-tory jsou \OT1/cmr/bx/n/10.95 uspo^^Tr^^Sadan^^Se [] Overfull \hbox (1.0652pt too wide) in paragraph at lines 292--301 \OT1/cmr/m/n/10.95 2) Snadno si roz-mysl^^S^^Pme, ^^Tze po-kud to bu-deme pot^^ Trebovat, lze p^^Tri ob-vykl^^Sych ope-rac^^S^^Pch ztoto^^Tznit [] [4] [5] [6] Underfull \hbox (badness 10000) in paragraph at lines 527--528 [] Underfull \hbox (badness 10000) in paragraph at lines 534--535 [] [7] Underfull \hbox (badness 10000) in paragraph at lines 636--674 [] [8] Underfull \hbox (badness 10000) in paragraph at lines 712--718 [] [9] [10] Overfull \hbox (2.89024pt too wide) in paragraph at lines 767--787 []\OT1/cmr/m/n/10.95 Zb^^Syv^^Sa uk^^Sazat, ^^Tze lze ka^^Tzdou sou-stavu ekvi- va-lentn^^S^^Pmi ^^Supravami p^^Trev^^Sest na sou-stavu s roz^^Ts^^S^^P^^Trenou [] [11] Overfull \hbox (45.7614pt too wide) in paragraph at lines 796--805 \OT1/cmr/m/n/10.95 (uspo^^Tr^^Sadan^^Sa $\OML/cmm/m/it/10.95 n$\OT1/cmr/m/n/10. 95 -tice) vek-tor^^Wu z \OT1/cmr/bx/n/10.95 V\OT1/cmr/m/n/10.95 . []R^^S^^Pk^^S ame, ^^Tze vek-tor $[]$ je line^^Sarn^^S^^P kom-bi-nac^^S^^P sou-boru ($[]\OML/ cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 )$, [] [12] [13] [14] Overfull \hbox (2.26794pt too wide) in paragraph at lines 1169--1185 \OT1/cmr/m/n/10.95 vek-tor^^Wu, sou-bor $([]\OML/cmm/m/it/10.95 ; []; [] ; []\O T1/cmr/m/n/10.95 )$ se naz^^Syv^^Sa \OT1/cmr/bx/n/10.95 ge-ne-ruj^^S^^Pc^^S^^P sou-bor \OT1/cmr/m/n/10.95 a vek-tory $[]\OML/cmm/m/it/10.95 ; []; [] ; []$ [] [15] [16] Overfull \hbox (1.27948pt too wide) in paragraph at lines 1404--1427 \OT1/cmr/m/n/10.95 Necht[] $([]\OML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10 .95 )$ je b^^Saze \OT1/cmr/bx/n/10.95 V\OT1/cmr/m/n/10.95 , tj. \OT1/cmr/bx/n/1 0.95 V$\OT1/cmr/m/n/10.95 = [[]\OML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10 .95 ][]$ a sou-bor $([]\OML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 )$ [] [17] Overfull \hbox (82.56828pt too wide) in paragraph at lines 1476--1499 \OT1/cmr/bx/n/10.95 V\OT1/cmr/m/n/10.95 =$[[]\OML/cmm/m/it/10.95 ; []; [] ; []\ OT1/cmr/m/n/10.95 ][] = [[]\OML/cmm/m/it/10.95 ; []; [] ; []; \OT1/cmr/m/n/10.9 5 ([]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 i \OMS/cmsy/m/n/10.95 2 [] n f\OM L/cmm/m/it/10.95 i[]; i[]; [] ; i[]\OMS/cmsy/m/n/10.95 g\OT1/cmr/m/n/10.95 )][] $. Sou-bor $([]\OML/cmm/m/it/10.95 ; []; [] ; []; \OT1/cmr/m/n/10.95 ([]\OMS/cm sy/m/n/10.95 j\OML/cmm/m/it/10.95 i \OMS/cmsy/m/n/10.95 2 [] Overfull \hbox (17.33633pt too wide) in paragraph at lines 1517--1533 \OT1/cmr/m/n/10.95 Snadno si roz-mysl^^S^^Pme, ^^Tze sou-bor $([]\OML/cmm/m/it/ 10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 )$ je LN a ^^Tze pro ka^^Tzd^^Sy vek-tor $[] = [] \OMS/cmsy/m/n/10.95 2$\OT1/cmr/bx/n/10.95 T$[]$ [] [18] [19] [20] Underfull \hbox (badness 10000) in paragraph at lines 1684--1732 [] [21] Overfull \hbox (10.12271pt too wide) in paragraph at lines 1814--1887 \OT1/cmr/m/n/10.95 Necht[] dim\OT1/cmr/bx/n/10.95 P\OT1/cmr/m/n/10.95 =$\OML/cm m/m/it/10.95 k \OMS/cmsy/m/n/10.95 6\OT1/cmr/m/n/10.95 = 0$ $[][]\OMS/cmsy/m/n/ 10.95 )$ \OT1/cmr/m/n/10.95 exis-tuje $\OML/cmm/m/it/10.95 k$ \OT1/cmr/m/n/10.9 5 LN vek-tor^^Wu $[]\OML/cmm/m/it/10.95 ; []; [] ; []$ \OT1/cmr/m/n/10.95 tak, ^^Tze \OT1/cmr/bx/n/10.95 P\OT1/cmr/m/n/10.95 =$[[]\OML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 ][]$, [] [22] Underfull \hbox (badness 10000) in paragraph at lines 1900--1905 [] [23] Underfull \hbox (badness 10000) in paragraph at lines 1936--1944 [] Overfull \hbox (2.1745pt too wide) in paragraph at lines 1975--2012 \OT1/cmr/m/n/10.95 Soubor $\OMS/cmsy/m/n/10.95 X$\OT1/cmr/m/n/10.95 = $([]\OML/ cmm/m/it/10.95 ; []; [] ; []; []; []; [] ; []\OT1/cmr/m/n/10.95 )$ ge-ne-ruje p ro-stor \OT1/cmr/bx/n/10.95 P\OT1/cmr/m/n/10.95 +\OT1/cmr/bx/n/10.95 Q \OT1/cmr /m/n/10.95 ze stejn^^Sych [] [24] Overfull \hbox (24.1771pt too wide) in paragraph at lines 2031--2057 \OT1/cmr/m/n/10.95 (b) Opa^^Tcn^^Sa in-kluze plyne z faktu, ^^Tze \OT1/cmr/bx/n /10.95 P \OT1/cmr/m/n/10.95 je s^^Sam pod-pro-sto-rem ob-sa-huj^^S^^Pc^^S^^Pm v ek-tory $[]\OML/cmm/m/it/10.95 ; []; [] ; []$\OT1/cmr/m/n/10.95 . [] [25] Underfull \hbox (badness 10000) in paragraph at lines 2061--2062 [] Underfull \hbox (badness 10000) in paragraph at lines 2070--2098 [] [26] [27] [28] [29] Underfull \hbox (badness 10000) in paragraph at lines 2391--2400 [] [30] [31] Underfull \hbox (badness 10000) in paragraph at lines 2535--2558 [] [32] [33] Underfull \hbox (badness 10000) in paragraph at lines 2738--2745 [] Overfull \hbox (0.93951pt too wide) in paragraph at lines 2775--2802 \OT1/cmr/bx/n/10.95 Q[] \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 A\OT1/cmr/m/n/ 10.95 (\OT1/cmr/bx/n/10.95 P[]\OT1/cmr/m/n/10.95 ) = \OMS/cmsy/m/n/10.95 A\OT1/ cmr/m/n/10.95 ([[]\OML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 ][])$= $[ \OMS/cmsy/m/n/10.95 A[]\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 A[]\OML/cmm/m/ it/10.95 ; [] ; \OMS/cmsy/m/n/10.95 A[]\OT1/cmr/m/n/10.95 ][]$. Z toho plyne, [] Overfull \hbox (5.01994pt too wide) in paragraph at lines 2830--2848 \OT1/cmr/m/n/10.95 Dok^^Sa^^Tzeme, ^^Tze pod-pro-stor \OT1/cmr/bx/n/10.95 Q\OT1 /cmr/m/n/10.95 =$[[]\OML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 ][]$ je do-pln^^Tek \OT1/cmr/bx/n/10.95 P \OT1/cmr/m/n/10.95 do \OT1/cmr/bx/n/10.95 V\ OT1/cmr/m/n/10.95 , tj., ^^Tze plat^^S^^P \OT1/cmr/bx/n/10.95 V\OT1/cmr/m/n/10. 95 =\OT1/cmr/bx/n/10.95 P\OT1/cmr/m/n/10.95 +\OT1/cmr/bx/n/10.95 Q [] [34] [35] [36] Underfull \hbox (badness 10000) in paragraph at lines 3001--3002 [] LaTeX Font Warning: Command \tiny invalid in math mode on input line 3023. LaTeX Font Info: External font `cmex10' loaded for size (Font) <5> on input line 3023. 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[] [38] [39] [40] Overfull \hbox (135.76688pt too wide) in paragraph at lines 3469--3491 \OT1/cmr/m/n/10.95 Ozna^^Tcme $\OMS/cmsy/m/n/10.95 X \OT1/cmr/m/n/10.95 = ([]\O ML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 )$. 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