( ! ) Warning: mb_convert_encoding(): Illegal character encoding specified in /srv/http/wiki/extensions/LaTeXDoc/LaTeXDoc.php on line 247
Call Stack
#TimeMemoryFunctionLocation
10.0000233008{main}( ).../index.php:0
20.00712464408MediaWiki->run( ).../index.php:46
30.00712465680MediaWiki->main( ).../MediaWiki.php:414
40.01052724632MediaWiki->performRequest( ).../MediaWiki.php:566
50.01072754896MediaWiki->performAction( ).../MediaWiki.php:273
60.01072755568Hooks::run( ).../MediaWiki.php:399
70.01072757208call_user_func_array:{/srv/http/wiki/includes/Hooks.php:209} ( ).../Hooks.php:209
80.01072758336LatexDoc->onUnknownAction( ).../Hooks.php:209
92.24053945120LatexDoc->rf_parseLatexLogfile( ).../LaTeXDoc.php:603
102.24154142248mb_convert_encoding ( ).../LaTeXDoc.php:247

( ! ) Warning: mb_convert_encoding(): Illegal character encoding specified in /srv/http/wiki/extensions/LaTeXDoc/LaTeXDoc.php on line 247
Call Stack
#TimeMemoryFunctionLocation
10.0000233008{main}( ).../index.php:0
20.00712464408MediaWiki->run( ).../index.php:46
30.00712465680MediaWiki->main( ).../MediaWiki.php:414
40.01052724632MediaWiki->performRequest( ).../MediaWiki.php:566
50.01072754896MediaWiki->performAction( ).../MediaWiki.php:273
60.01072755568Hooks::run( ).../MediaWiki.php:399
70.01072757208call_user_func_array:{/srv/http/wiki/includes/Hooks.php:209} ( ).../Hooks.php:209
80.01072758336LatexDoc->onUnknownAction( ).../Hooks.php:209
92.24053945120LatexDoc->rf_parseLatexLogfile( ).../LaTeXDoc.php:603
102.24234147376mb_convert_encoding ( ).../LaTeXDoc.php:247

( ! ) Warning: mb_convert_encoding(): Illegal character encoding specified in /srv/http/wiki/extensions/LaTeXDoc/LaTeXDoc.php on line 247
Call Stack
#TimeMemoryFunctionLocation
10.0000233008{main}( ).../index.php:0
20.00712464408MediaWiki->run( ).../index.php:46
30.00712465680MediaWiki->main( ).../MediaWiki.php:414
40.01052724632MediaWiki->performRequest( ).../MediaWiki.php:566
50.01072754896MediaWiki->performAction( ).../MediaWiki.php:273
60.01072755568Hooks::run( ).../MediaWiki.php:399
70.01072757208call_user_func_array:{/srv/http/wiki/includes/Hooks.php:209} ( ).../Hooks.php:209
80.01072758336LatexDoc->onUnknownAction( ).../Hooks.php:209
92.24053945120LatexDoc->rf_parseLatexLogfile( ).../LaTeXDoc.php:603
102.24244148136mb_convert_encoding ( ).../LaTeXDoc.php:247

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /srv/http/wiki/extensions/LaTeXDoc/LaTeXDoc.php:247) in /srv/http/wiki/includes/WebResponse.php on line 37
Call Stack
#TimeMemoryFunctionLocation
10.0000233008{main}( ).../index.php:0
20.00712464408MediaWiki->run( ).../index.php:46
30.00712465680MediaWiki->main( ).../MediaWiki.php:414
42.25424104528OutputPage->output( ).../MediaWiki.php:576
52.25434126728WebResponse->header( ).../OutputPage.php:2245
62.25434126872header ( ).../WebResponse.php:37

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /srv/http/wiki/extensions/LaTeXDoc/LaTeXDoc.php:247) in /srv/http/wiki/includes/WebResponse.php on line 37
Call Stack
#TimeMemoryFunctionLocation
10.0000233008{main}( ).../index.php:0
20.00712464408MediaWiki->run( ).../index.php:46
30.00712465680MediaWiki->main( ).../MediaWiki.php:414
42.25424104528OutputPage->output( ).../MediaWiki.php:576
52.25464134504WebResponse->header( ).../OutputPage.php:2246
62.25464134648header ( ).../WebResponse.php:37

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /srv/http/wiki/extensions/LaTeXDoc/LaTeXDoc.php:247) in /srv/http/wiki/includes/WebResponse.php on line 37
Call Stack
#TimeMemoryFunctionLocation
10.0000233008{main}( ).../index.php:0
20.00712464408MediaWiki->run( ).../index.php:46
30.00712465680MediaWiki->main( ).../MediaWiki.php:414
42.25424104528OutputPage->output( ).../MediaWiki.php:576
52.25484134464WebResponse->header( ).../OutputPage.php:2250
62.25484134608header ( ).../WebResponse.php:37

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /srv/http/wiki/extensions/LaTeXDoc/LaTeXDoc.php:247) in /srv/http/wiki/includes/WebResponse.php on line 37
Call Stack
#TimeMemoryFunctionLocation
10.0000233008{main}( ).../index.php:0
20.00712464408MediaWiki->run( ).../index.php:46
30.00712465680MediaWiki->main( ).../MediaWiki.php:414
42.25424104528OutputPage->output( ).../MediaWiki.php:576
52.25504134600WebResponse->header( ).../OutputPage.php:2255
62.25504134744header ( ).../WebResponse.php:37
01ALG:Kapitola6 – WikiSkripta FJFI ČVUT v Praze

01ALG:Kapitola6

Z WikiSkripta FJFI ČVUT v Praze
Přejít na: navigace, hledání

fullpath /srv/http/wiki/images/latexdoc/01ALG/01ALG_Kapitola6_5ea138af

Výstup z překladu

This is pdfTeX, Version 3.141592653-2.6-1.40.26 (TeX Live 2024/Arch Linux) (preloaded format=pdflatex 2024.4.15)  27 APR 2024 03:19
entering extended mode
 restricted \write18 enabled.
 %&-line parsing enabled.
**01ALG_Kapitola6_5ea138af.tex
(./01ALG_Kapitola6_5ea138af.tex
LaTeX2e <2023-11-01> patch level 1
L3 programming layer <2024-02-20>
(./header.tex (/usr/share/texmf-dist/tex/latex/base/article.cls
Document Class: article 2023/05/17 v1.4n Standard LaTeX document class
(/usr/share/texmf-dist/tex/latex/base/size12.clo
File: size12.clo 2023/05/17 v1.4n Standard LaTeX file (size option)
)
\c@part=\count188
\c@section=\count189
\c@subsection=\count190
\c@subsubsection=\count191
\c@paragraph=\count192
\c@subparagraph=\count193
\c@figure=\count194
\c@table=\count195
\abovecaptionskip=\skip48
\belowcaptionskip=\skip49
\bibindent=\dimen140
) (/usr/share/texmf-dist/tex/generic/babel/babel.sty
Package: babel 2024/02/07 v24.2 The Babel package
\babel@savecnt=\count196
\U@D=\dimen141
\l@unhyphenated=\language7
(/usr/share/texmf-dist/tex/generic/babel/txtbabel.def)
\bbl@readstream=\read2
\bbl@dirlevel=\count197
(/usr/share/texmf-dist/tex/generic/babel-czech/czech.ldf
Language: czech 2008/07/06 v3.1a Czech support from the babel system
Package babel Info: Making " an active character on input line 172.
\cs@wordlen=\count198
Package babel Info: Making - an active character on input line 226.
)) (/usr/share/texmf-dist/tex/generic/babel/locale/cs/babel-czech.tex
Package babel Info: Importing font and identification data for czech
(babel)             from babel-cs.ini. Reported on input line 11.
) (/usr/share/texmf-dist/tex/latex/base/fontenc.sty
Package: fontenc 2021/04/29 v2.0v Standard LaTeX package
(/usr/share/texmf-dist/tex/cslatex/base/il2enc.def
File: il2enc.def 1997/08/20 CSLaTeX
Now handling font encoding IL2 ...
... no UTF-8 mapping file for font encoding IL2
)
LaTeX Font Info:    Trying to load font information for IL2+cmr on input line 1
12.
(/usr/share/texmf-dist/tex/cslatex/base/il2cmr.fd
File: il2cmr.fd 1997/02/06 CSLaTeX font definitions
)) (/usr/share/texmf-dist/tex/latex/base/inputenc.sty
Package: inputenc 2021/02/14 v1.3d Input encoding file
\inpenc@prehook=\toks17
\inpenc@posthook=\toks18
) (/usr/share/texmf-dist/tex/latex/amsfonts/eucal.sty
Package: eucal 2009/06/22 v3.00 Euler Script fonts
LaTeX Font Info:    Overwriting math alphabet `\EuScript' in version `bold'
(Font)                  U/eus/m/n --> U/eus/b/n on input line 33.
) (/usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty
Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support
\@emptytoks=\toks19
\symAMSa=\mathgroup4
\symAMSb=\mathgroup5
LaTeX Font Info:    Redeclaring math symbol \hbar on input line 98.
LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
(Font)                  U/euf/m/n --> U/euf/b/n on input line 106.
) (/usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty
Package: amssymb 2013/01/14 v3.01 AMS font symbols
) (/usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty
Package: amsmath 2023/05/13 v2.17o AMS math features
\@mathmargin=\skip50
For additional information on amsmath, use the `?' option.
(/usr/share/texmf-dist/tex/latex/amsmath/amstext.sty
Package: amstext 2021/08/26 v2.01 AMS text
(/usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty
File: amsgen.sty 1999/11/30 v2.0 generic functions
\@emptytoks=\toks20
\ex@=\dimen142
)) (/usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty
Package: amsbsy 1999/11/29 v1.2d Bold Symbols
\pmbraise@=\dimen143
) (/usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty
Package: amsopn 2022/04/08 v2.04 operator names
)
\inf@bad=\count199
LaTeX Info: Redefining \frac on input line 234.
\uproot@=\count266
\leftroot@=\count267
LaTeX Info: Redefining \overline on input line 399.
LaTeX Info: Redefining \colon on input line 410.
\classnum@=\count268
\DOTSCASE@=\count269
LaTeX Info: Redefining \ldots on input line 496.
LaTeX Info: Redefining \dots on input line 499.
LaTeX Info: Redefining \cdots on input line 620.
\Mathstrutbox@=\box51
\strutbox@=\box52
LaTeX Info: Redefining \big on input line 722.
LaTeX Info: Redefining \Big on input line 723.
LaTeX Info: Redefining \bigg on input line 724.
LaTeX Info: Redefining \Bigg on input line 725.
\big@size=\dimen144
LaTeX Font Info:    Redeclaring font encoding OML on input line 743.
LaTeX Font Info:    Redeclaring font encoding OMS on input line 744.
\macc@depth=\count270
LaTeX Info: Redefining \bmod on input line 905.
LaTeX Info: Redefining \pmod on input line 910.
LaTeX Info: Redefining \smash on input line 940.
LaTeX Info: Redefining \relbar on input line 970.
LaTeX Info: Redefining \Relbar on input line 971.
\c@MaxMatrixCols=\count271
\dotsspace@=\muskip16
\c@parentequation=\count272
\dspbrk@lvl=\count273
\tag@help=\toks21
\row@=\count274
\column@=\count275
\maxfields@=\count276
\andhelp@=\toks22
\eqnshift@=\dimen145
\alignsep@=\dimen146
\tagshift@=\dimen147
\tagwidth@=\dimen148
\totwidth@=\dimen149
\lineht@=\dimen150
\@envbody=\toks23
\multlinegap=\skip51
\multlinetaggap=\skip52
\mathdisplay@stack=\toks24
LaTeX Info: Redefining \[ on input line 2953.
LaTeX Info: Redefining \] on input line 2954.
) (/usr/share/texmf-dist/tex/latex/base/makeidx.sty
Package: makeidx 2021/10/04 v1.0m Standard LaTeX package
)
\c@alphlistcounter=\count277
\itsmyownlength=\skip53
\@indexfile=\write3
\openout3 = `01ALG_Kapitola6_5ea138af.idx'.

Writing index file 01ALG_Kapitola6_5ea138af.idx
\c@parnum=\count278
\PARSKIP=\skip54
) (/usr/share/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def
File: l3backend-pdftex.def 2024-02-20 L3 backend support: PDF output (pdfTeX)
\l__color_backend_stack_int=\count279
\l__pdf_internal_box=\box53
) (./01ALG_Kapitola6_5ea138af.aux)
\openout1 = `01ALG_Kapitola6_5ea138af.aux'.

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 2.
LaTeX Font Info:    ... okay on input line 2.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 2.
LaTeX Font Info:    ... okay on input line 2.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 2.
LaTeX Font Info:    ... okay on input line 2.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 2.
LaTeX Font Info:    ... okay on input line 2.
LaTeX Font Info:    Checking defaults for TS1/cmr/m/n on input line 2.
LaTeX Font Info:    ... okay on input line 2.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 2.
LaTeX Font Info:    ... okay on input line 2.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 2.
LaTeX Font Info:    ... okay on input line 2.
LaTeX Font Info:    Checking defaults for IL2/cmr/m/n on input line 2.
LaTeX Font Info:    ... okay on input line 2.
(./alg_ring.tex
Overfull \hbox (483.0pt too wide) detected at line 3
[]
 []

LaTeX Font Info:    Trying to load font information for U+msa on input line 5.
(/usr/share/texmf-dist/tex/latex/amsfonts/umsa.fd
File: umsa.fd 2013/01/14 v3.01 AMS symbols A
)
LaTeX Font Info:    Trying to load font information for U+msb on input line 5.
(/usr/share/texmf-dist/tex/latex/amsfonts/umsb.fd
File: umsb.fd 2013/01/14 v3.01 AMS symbols B
)
Underfull \hbox (badness 10000) detected at line 5
$\OMS/cmsy/m/n/12 ^^O$
 []


Underfull \hbox (badness 10000) detected at line 8
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 22
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 25
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 28
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 31
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 34
$\U/msa/m/n/12 I$
 []


Overfull \hbox (1.39798pt too wide) in paragraph at lines 34--36
 []\IL2/cmr/m/sc/12 1.1.6. De-fi-nice.[] \IL2/cmr/m/n/12 ?ek-neme, ?e okruh $\O
ML/cmm/m/it/12 R$ \IL2/cmr/m/n/12 je $[]$[], resp. je $[]$[], resp. $[]$[],
 []


Underfull \hbox (badness 10000) detected at line 38
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 50
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 53
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 56
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 66
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 74
$\U/msa/m/n/12 I$
 []

[1

{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]
Underfull \hbox (badness 10000) detected at line 78
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 82
$\U/msa/m/n/12 I$
 []


Package amsmath Warning: Foreign command \atop;
(amsmath)                \frac or \genfrac should be used instead
(amsmath)                 on input line 82.


Underfull \hbox (badness 10000) detected at line 85
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 89
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 92
$\U/msa/m/n/12 I$
 []


Overfull \hbox (5.03085pt too wide) in paragraph at lines 96--98
[]\IL2/cmr/m/n/12 Takov? $\OML/cmm/m/it/12 n \OMS/cmsy/m/n/12 2 \U/msb/m/n/12 N
[]$\IL2/cmr/m/n/12 , ?e $\OML/cmm/m/it/12 a[] \OMS/cmsy/m/n/12 6\OT1/cmr/m/n/12
 = 0$ \IL2/cmr/m/n/12 a $\OT1/cmr/m/n/12 (\OMS/cmsy/m/n/12 8\OML/cmm/m/it/12 i 
> n\OT1/cmr/m/n/12 )(\OML/cmm/m/it/12 a[] \OT1/cmr/m/n/12 = 0)$\IL2/cmr/m/n/12 
, na-zveme $[]$[]. Pro $[]$[]
 []


Underfull \hbox (badness 10000) detected at line 105
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 108
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 113
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 116
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 119
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 124
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 127
$\OMS/cmsy/m/n/12 ^^N$
 []

[2]
Underfull \hbox (badness 10000) detected at line 134
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 138
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 141
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 148
$\OMS/cmsy/m/n/12 ^^O$
 []


Underfull \hbox (badness 10000) detected at line 151
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 157
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 160
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 170
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 178
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 181
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 187
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 195
$\OMS/cmsy/m/n/12 ^^N$
 []

[3]
Underfull \hbox (badness 10000) detected at line 204
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 219
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 228
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 232
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 237
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 241
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 245
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 249
$\OMS/cmsy/m/n/12 ^^O$
 []


Underfull \hbox (badness 10000) detected at line 252
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 257
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 262
$\U/msa/m/n/12 I$
 []

[4]
Underfull \hbox (badness 10000) detected at line 266
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 270
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 273
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 277
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 280
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 284
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 292
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 296
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 317
$\U/msa/m/n/12 I$
 []

[5]
Underfull \hbox (badness 10000) detected at line 325
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 330
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 334
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 340
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 347
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 354
$\OMS/cmsy/m/n/12 ^^O$
 []


Underfull \hbox (badness 10000) detected at line 357
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 362
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 370
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 383
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 386
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 389
$\OMS/cmsy/m/n/12 ^^N$
 []

[6]
Underfull \hbox (badness 10000) detected at line 413
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 418
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 424
$\U/msa/m/n/12 I$
 []


Overfull \hbox (16.44553pt too wide) in paragraph at lines 424--426
 []\IL2/cmr/m/sc/12 1.4.7. Lemma.[] \IL2/cmr/m/n/12 Ne-ch? $\OML/cmm/m/it/12 R$
 \IL2/cmr/m/n/12 je aso-ci-a-tivn? a ko-mu-ta-tivn? okruh, $\OML/cmm/m/it/12 a 
\OMS/cmsy/m/n/12 2 \OML/cmm/m/it/12 R$ \IL2/cmr/m/n/12 a ozna-?me $\OML/cmm/m/i
t/12 J[] \OT1/cmr/m/n/12 := []$\IL2/cmr/m/n/12 .
 []


Underfull \hbox (badness 10000) detected at line 434
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 443
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 447
$\U/msa/m/n/12 I$
 []


Overfull \hbox (1.08386pt too wide) in paragraph at lines 447--453
 []\IL2/cmr/m/sc/12 1.4.9. P??-klad.[] \IL2/cmr/m/n/12 Uk?eme, ?e $\OML/cmm/m/
it/12 Z \OT1/cmr/m/n/12 = (\U/msb/m/n/12 Z\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 +\
OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^A\OT1/cmr/m/n/12 )$ \IL2/cmr/m/n/12 je okr
uh hlav-n?ch ide-?l?. Ide-?ly $\OML/cmm/m/it/12 I[] \OT1/cmr/m/n/12 = []$
 []


Underfull \hbox (badness 10000) detected at line 454
$\OMS/cmsy/m/n/12 ^^O$
 []


Underfull \hbox (badness 10000) detected at line 457
$\U/msa/m/n/12 I$
 []

[7]
Underfull \hbox (badness 10000) detected at line 465
$\U/msa/m/n/12 I$
 []


Overfull \hbox (28.96054pt too wide) in paragraph at lines 465--470
 []\IL2/cmr/m/sc/12 1.5.2. De-fi-nice.[] \IL2/cmr/m/n/12 Po-dobn?, jako na gru-
p?ch, de-fi-nu-jeme na okru-z?ch $[]$[], $[]$[],
 []


Underfull \hbox (badness 10000) detected at line 472
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 476
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 479
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 483
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 486
$\U/msa/m/n/12 I$
 []


Overfull \hbox (2.66284pt too wide) in paragraph at lines 486--488
 []\IL2/cmr/m/sc/12 1.5.7. De-fi-nice.[] $[]$[] \IL2/cmr/m/n/12 ho-mo-mor-fismu
 $\OML/cmm/m/it/12 h \OT1/cmr/m/n/12 : \OML/cmm/m/it/12 R[] \OMS/cmsy/m/n/12 ! 
\OML/cmm/m/it/12 R[]$ \IL2/cmr/m/n/12 ro-zu-m?me mno?inu $[] \OML/cmm/m/it/12 h
 \OT1/cmr/m/n/12 := \OML/cmm/m/it/12 h[]\OT1/cmr/m/n/12 (\OMS/cmsy/m/n/12 f\OT1
/cmr/m/n/12 0\OMS/cmsy/m/n/12 g\OT1/cmr/m/n/12 ) =
 []


Underfull \hbox (badness 10000) detected at line 490
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 497
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 500
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 504
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 507
$\OMS/cmsy/m/n/12 ^^O$
 []


Underfull \hbox (badness 10000) detected at line 510
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 514
$\OMS/cmsy/m/n/12 ^^N$
 []

[8]
Underfull \hbox (badness 10000) detected at line 526
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 532
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 546
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 549
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 553
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 565
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 568
$\OMS/cmsy/m/n/12 ^^N$
 []

[9]
Underfull \hbox (badness 10000) detected at line 605
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 608
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 622
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 625
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 629
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 637
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 640
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 656
$\U/msa/m/n/12 I$
 []

[10]
Underfull \hbox (badness 10000) detected at line 658
$\OMS/cmsy/m/n/12 ^^O$
 []


Underfull \hbox (badness 10000) detected at line 661
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 666
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 669
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 676
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 680
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 690
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 694
$\OMS/cmsy/m/n/12 ^^N$
 []


Underfull \hbox (badness 10000) detected at line 698
$\OMS/cmsy/m/n/12 ^^O$
 []


Underfull \hbox (badness 10000) detected at line 701
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 705
$\U/msa/m/n/12 I$
 []


Underfull \hbox (badness 10000) detected at line 709
$\OMS/cmsy/m/n/12 ^^N$
 []

[11]
Underfull \hbox (badness 10000) detected at line 745
$\U/msa/m/n/12 I$
 []

) [12] (./01ALG_Kapitola6_5ea138af.aux)
 ***********
LaTeX2e <2023-11-01> patch level 1
L3 programming layer <2024-02-20>
 ***********
 ) 
Here is how much of TeX's memory you used:
 3592 strings out of 476042
 51050 string characters out of 5792598
 1949187 words of memory out of 5000000
 25689 multiletter control sequences out of 15000+600000
 571235 words of font info for 74 fonts, out of 8000000 for 9000
 24 hyphenation exceptions out of 8191
 61i,12n,68p,259b,218s stack positions out of 10000i,1000n,20000p,200000b,200000s
</usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb></usr/share/
texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></usr/share/texmf-dist/fon
ts/type1/public/amsfonts/cm/cmmi12.pfb></usr/share/texmf-dist/fonts/type1/publi
c/amsfonts/cm/cmmi6.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/c
mmi8.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/
share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/share/texmf-dis
t/fonts/type1/public/amsfonts/cm/cmr6.pfb></usr/share/texmf-dist/fonts/type1/pu
blic/amsfonts/cm/cmr8.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm
/cmsy10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy6.pfb></u
sr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy8.pfb></usr/share/texmf-
dist/fonts/type1/public/cs/csbx10.pfb></usr/share/texmf-dist/fonts/type1/public
/cs/csbx12.pfb></usr/share/texmf-dist/fonts/type1/public/cs/cscsc10.pfb></usr/s
hare/texmf-dist/fonts/type1/public/cs/csr12.pfb></usr/share/texmf-dist/fonts/ty
pe1/public/cs/csr8.pfb></usr/share/texmf-dist/fonts/type1/public/cs/csti12.pfb>
</usr/share/texmf-dist/fonts/type1/public/amsfonts/symbols/msam10.pfb></usr/sha
re/texmf-dist/fonts/type1/public/amsfonts/symbols/msam7.pfb></usr/share/texmf-d
ist/fonts/type1/public/amsfonts/symbols/msbm10.pfb>
Output written on 01ALG_Kapitola6_5ea138af.pdf (12 pages, 245411 bytes).
PDF statistics:
 148 PDF objects out of 1000 (max. 8388607)
 91 compressed objects within 1 object stream
 0 named destinations out of 1000 (max. 500000)
 1 words of extra memory for PDF output out of 10000 (max. 10000000)



( ! ) Warning: Cannot modify header information - headers already sent by (output started at /srv/http/wiki/extensions/LaTeXDoc/LaTeXDoc.php:247) in /srv/http/wiki/includes/WebResponse.php on line 37
Call Stack
#TimeMemoryFunctionLocation
10.0000233008{main}( ).../index.php:0
20.00712464408MediaWiki->run( ).../index.php:46
30.00712465680MediaWiki->main( ).../MediaWiki.php:414
42.25424104528OutputPage->output( ).../MediaWiki.php:576
52.37965327520OutputPage->sendCacheControl( ).../OutputPage.php:2294
62.37965328416WebResponse->header( ).../OutputPage.php:2137
72.37965328560header ( ).../WebResponse.php:37

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /srv/http/wiki/extensions/LaTeXDoc/LaTeXDoc.php:247) in /srv/http/wiki/includes/WebResponse.php on line 37
Call Stack
#TimeMemoryFunctionLocation
10.0000233008{main}( ).../index.php:0
20.00712464408MediaWiki->run( ).../index.php:46
30.00712465680MediaWiki->main( ).../MediaWiki.php:414
42.25424104528OutputPage->output( ).../MediaWiki.php:576
52.37965327520OutputPage->sendCacheControl( ).../OutputPage.php:2294
62.37995344808WebResponse->header( ).../OutputPage.php:2174
72.37995344952header ( ).../WebResponse.php:37

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /srv/http/wiki/extensions/LaTeXDoc/LaTeXDoc.php:247) in /srv/http/wiki/includes/WebResponse.php on line 37
Call Stack
#TimeMemoryFunctionLocation
10.0000233008{main}( ).../index.php:0
20.00712464408MediaWiki->run( ).../index.php:46
30.00712465680MediaWiki->main( ).../MediaWiki.php:414
42.25424104528OutputPage->output( ).../MediaWiki.php:576
52.37965327520OutputPage->sendCacheControl( ).../OutputPage.php:2294
62.38015344752WebResponse->header( ).../OutputPage.php:2175
72.38015344896header ( ).../WebResponse.php:37