01LAB1
Z WikiSkripta FJFI ČVUT v Praze
fullpath /srv/http/wiki/images/latexdoc/01LAB1/01LAB1_e47958b1
Výstup z překladu
This is pdfTeX, Version 3.141592653-2.6-1.40.26 (TeX Live 2024/Arch Linux) (preloaded format=pdflatex 2024.6.2) 22 JUL 2024 13:58
entering extended mode
restricted \write18 enabled.
%&-line parsing enabled.
**01LAB1_e47958b1.tex
(./01LAB1_e47958b1.tex
LaTeX2e <2023-11-01> patch level 1
L3 programming layer <2024-02-20>
(./header.tex (/usr/share/texmf-dist/tex/latex/base/letter.cls
Document Class: letter 2021/12/07 v1.3c Standard LaTeX document class
(/usr/share/texmf-dist/tex/latex/base/size11.clo
File: size11.clo 2023/05/17 v1.4n Standard LaTeX file (size option)
)
\longindentation=\dimen140
\indentedwidth=\dimen141
\labelcount=\count188
) (/usr/share/texmf-dist/tex/latex/a4wide/a4wide.sty
Package: a4wide 1994/08/30
(/usr/share/texmf-dist/tex/latex/ntgclass/a4.sty
Package: a4 2023/01/10 v1.2g A4 based page layout
)) (/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/generic/babel/babel.sty
Package: babel 2024/02/07 v24.2 The Babel package
\babel@savecnt=\count189
\U@D=\dimen142
\l@unhyphenated=\language7
(/usr/share/texmf-dist/tex/generic/babel/txtbabel.def)
\bbl@readstream=\read2
\bbl@dirlevel=\count190
(/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=\count191
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/l3backend/l3backend-pdftex.def
File: l3backend-pdftex.def 2024-02-20 L3 backend support: PDF output (pdfTeX)
\l__color_backend_stack_int=\count192
\l__pdf_internal_box=\box51
) (./01LAB1_e47958b1.aux)
\openout1 = `01LAB1_e47958b1.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 OMS/cmsy/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 T1/cmr/m/n on input line 6.
LaTeX Font Info: ... okay on input line 6.
LaTeX Font Info: Checking defaults for TS1/cmr/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: Trying to load font information for OMS+cmr on input line 1
4.
(/usr/share/texmf-dist/tex/latex/base/omscmr.fd
File: omscmr.fd 2023/04/13 v2.5m 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{/usr/share/texmf-dist/f
onts/enc/dvips/cm-super/cm-super-ts1.enc}] [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.
[37]
Underfull \hbox (badness 10000) in paragraph at lines 3102--3104
[]
Underfull \hbox (badness 10000) in paragraph at lines 3145--3155
[]
Overfull \hbox (4.04672pt too wide) in paragraph at lines 3156--3183
\OT1/cmr/m/n/10.95 3) Kdy^^Tz je \OT1/cmr/bx/n/10.95 A \OT1/cmr/m/n/10.95 typu
$\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^B \OML/cmm/m/it/10.95 m$\OT1/cmr/m
/n/10.95 , \OT1/cmr/bx/n/10.95 B \OT1/cmr/m/n/10.95 a \OT1/cmr/bx/n/10.95 C \OT
1/cmr/m/n/10.95 typu $\OML/cmm/m/it/10.95 m \OMS/cmsy/m/n/10.95 ^^B \OML/cmm/m/
it/10.95 p$ \OT1/cmr/m/n/10.95 plat^^S^^P z^^Sakon \OT1/cmr/bx/n/10.95 dis-tri-
bu-tivn^^S^^P \OT1/cmr/m/n/10.95 (tj. \OT1/cmr/bx/n/10.95 A\OT1/cmr/m/n/10.95 (
\OT1/cmr/bx/n/10.95 B\OT1/cmr/m/n/10.95 +\OT1/cmr/bx/n/10.95 C\OT1/cmr/m/n/10.9
5 )=\OT1/cmr/bx/n/10.95 AB\OT1/cmr/m/n/10.95 +\OT1/cmr/bx/n/10.95 AC\OT1/cmr/m/
n/10.95 ).
[]
[38] [39] [40]
Overfull \hbox (135.76688pt too wide) in paragraph at lines 3469--3491
\OT1/cmr/m/n/10.95 Ozna^^Tcme $\OMS/cmsy/m/n/10.95 X \OT1/cmr/m/n/10.95 = ([]\O
ML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 )$. Z de-fi-nice ma-tice zob-
ra-zen^^S^^P ply-nou vztahy $[] \OMS/cmsy/m/n/10.95 A[] \OT1/cmr/m/n/10.95 = []
(\OMS/cmsy/m/n/10.95 A[]\OT1/cmr/m/n/10.95 )[]\OML/cmm/m/it/10.95 ; \OT1/cmr/m/
n/10.95 (\OMS/cmsy/m/n/10.95 A[]\OT1/cmr/m/n/10.95 )[]\OML/cmm/m/it/10.95 ; []
; \OT1/cmr/m/n/10.95 (\OMS/cmsy/m/n/10.95 A[]\OT1/cmr/m/n/10.95 )[][]$,
[]
Overfull \hbox (0.48598pt too wide) in paragraph at lines 3512--3537
\OT1/cmr/m/n/10.95 V po-sledn^^S^^Pch dvou rov-nos-tech jsme u^^Tzili jed-nak t
oho, ^^Tze sou^^Tcin li-bo-voln^^Se ma-tice od-pov^^S^^Pdaj^^S^^Pc^^S^^Pho
[]
[41] (./01LAB1_e47958b1.aux)
***********
LaTeX2e <2023-11-01> patch level 1
L3 programming layer <2024-02-20>
***********
)
Here is how much of TeX's memory you used:
1681 strings out of 476042
30706 string characters out of 5792599
1952187 words of memory out of 5000000
23825 multiletter control sequences out of 15000+600000
563646 words of font info for 54 fonts, out of 8000000 for 9000
24 hyphenation exceptions out of 8191
48i,12n,55p,219b,246s stack positions out of 10000i,1000n,20000p,200000b,200000s
</usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb></usr/share/
texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texmf-dist/fon
ts/type1/public/amsfonts/cm/cmbx6.pfb></usr/share/texmf-dist/fonts/type1/public
/amsfonts/cm/cmbx8.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cm
ex10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></usr
/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb></usr/share/texmf-di
st/fonts/type1/public/amsfonts/cm/cmmi8.pfb></usr/share/texmf-dist/fonts/type1/
public/amsfonts/cm/cmr10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts
/cm/cmr6.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb></u
sr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texmf
-dist/fonts/type1/public/amsfonts/cm/cmsy6.pfb></usr/share/texmf-dist/fonts/typ
e1/public/amsfonts/cm/cmsy8.pfb></usr/share/texmf-dist/fonts/type1/public/amsfo
nts/cm/cmti10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/latxfont/l
ine10.pfb></usr/share/texmf-dist/fonts/type1/public/cm-super/sfrm1095.pfb>
Output written on 01LAB1_e47958b1.pdf (41 pages, 334991 bytes).
PDF statistics:
224 PDF objects out of 1000 (max. 8388607)
145 compressed objects within 2 object streams
0 named destinations out of 1000 (max. 500000)
1 words of extra memory for PDF output out of 10000 (max. 10000000)
