eisagwg sth latex gia foithtèc - aristotle university of...
TRANSCRIPT
-
Eisagwg sth LATEX gia foithtc
Lzaroc Mwusc Mara TsikalopolouDhmtrhc Diamantdhc Rod Lkou Gewrga BougiokaMara Tsaousdou Qrstoc Tsolkhc Jnoc Tsparhc
Danh Papajeodrou
5 Septembrou 2014
LATEX LATEX LATEX LATEXLATEX LATEX LATEX LATEXLATEX LATEX LATEX LATEXLATEX LATEX LATEX LATEXLATEX LATEX LATEX LATEXLATEX LATEX LATEX LATEXLATEX LATEX LATEX LATEXLATEX LATEX LATEX LATEXLATEX LATEX LATEX LATEXLATEX LATEX LATEX LATEXLATEX LATEX LATEX LATEX
-
Eisagwg sth LATEX gia foithtcLzaroc Mwusc ([email protected])Mara TsikalopolouDhmtrhc DiamantdhcRod LkouGewrga Bougioka ([email protected])Mara Tsaousdou (maria [email protected])Qrstoc Tsolkhc ([email protected])Jnoc TsparhcDanh Papajeodrou ([email protected])
Orgnwsh kai suntonismc: Lzaroc Mwusc http://users.auth.gr/lazarosm/
Diorjseic: Qrstoc Tsolkhc [email protected]
Copyright c 2014 , , -, , , , -, , .
Permission is granted to copy, distribute and/or modify this document underthe terms of the GNU Free Documentation License, Version 1.3 or any later ver-sion published by the Free Software Foundation; with no Invariant Sections, noFront-Cover Texts, and no Back-Cover Texts. A copy of the license is includedin the section entitled GNU Free Documentation License.
http://users.auth.gr/lazarosm/
-
Perieqmena
0 6
1 71.1 LATEX . . . . . . . . . . . . . . . . . . . . . . . . . . . 71.2 . . . . . . . . . . . . . . . . . 71.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
2 112.1 . . . . . . . . . . . . . . . . . . . . . . . 112.2 . . . . . . . . . . . . . . . . . . . . . . . 132.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
3 , , 213.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
4 244.1 Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244.2 Description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 254.3 Enumerate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 254.4 Itemize . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
5 , , 285.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 285.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325.4 . . . . . . . . . . . . . . . . . . . . . . . . 35
5.4.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
6 376.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 386.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
3
-
4
6.4 . . . . . . . . 40
7 multline, eqnarray, array IEEEeqnarray 437.1 multline . . . . . . . . . . . . . . . . . . . . . . . . 437.2 eqarray . . . . . . . . . . . . . . . . . . . . . . . . . 457.3 array . . . . . . . . . . . . . . . . . . . . . . . . . . . 457.4 IEEEeqarray . . . . . . . . . . . . . . . . . . . . . . 47
8 498.1 matrix . . . . . . . . . . . . . . . . . . . . . . . 498.2 tabular . . . . . . . . . . . . . . . . . . . . . . . 53
8.2.1 . . . . . . . . . . . . . . . . . . . . . 558.2.2 . . . . . . . . . . . . . . . . . 568.2.3 . . . . . . . . . . . . . . . . . . . . 568.2.4 . . . . . . . . . . . . . . . . . 57
8.3 . . . . . . . . . . . . . . 59
9 hyperref 63
10 64
11 6511.1 thebibliography . . . . . . . . . . . . . . . . . . . . . 6511.2 BibTEX. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
12 69
13 7013.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7013.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7213.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
GNU Free Documentation License 731. APPLICABILITY AND DEFINITIONS . . . . . . . . . . . . . . . 742. VERBATIM COPYING . . . . . . . . . . . . . . . . . . . . . . . . 753. COPYING IN QUANTITY . . . . . . . . . . . . . . . . . . . . . . 754. MODIFICATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . 765. COMBINING DOCUMENTS . . . . . . . . . . . . . . . . . . . . . 786. COLLECTIONS OF DOCUMENTS . . . . . . . . . . . . . . . . . 787. AGGREGATION WITH INDEPENDENT WORKS . . . . . . . . 798. TRANSLATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 799. TERMINATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7910. FUTURE REVISIONS OF THIS LICENSE . . . . . . . . . . . . 8011. RELICENSING . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80ADDENDUM: How to use this License for your documents . . . . . . 81
81
-
5
83
-
Keflaio 0
Prlogoc tou biblou
2014, - LATEX. - , .
- , - .
, , - LATEX. - ... (, . ). , , .
LATEX. [email protected].
6
-
Keflaio 1
Eisagwg
1.1 H glssa LATEX
LATEX , TEX. TEX Donald E. Knuth 1977 . Knuth .
LATEX, Leslie Lamport TEX. . , , , , . , LATEX , Knuth.
1.2 Pleonektmata kai Meionektmata
LATEX1 document markup language. -
LATEX , , . MS Word. - (interface) . - , . :
1To ssthma LATEXenai oudtero, mwc stic pio pollc suzhtseic ja to akosete naanafretai wc jhluk (h LATEX). Auth h mikr {kak} sunjeia paramnei kai se poll shmeatou biblou.
7
-
1. 8
LATEX .
, ! ( ).
LATEX .
, - - .
, , , .
, ( Matlab, Mathematica ..) - LATEX, .
, . . , .
. , ( ) . - , .
, LATEX . - . , - , , , .
1.3 Egkatstash
LATEX, :
1. TEX, compiler TEX, LATEX.
2. . Windows, LATEX .
3. PDF.
-
1. 9
3 , - .pdf. Foxit Reader .
LATEX Windows MikTEX. - ( ). , - TEXstudio.
http://latex-project.org/. downloads, - protext Windows .exe http://ftp.ntua.gr/mirror/ctan/systems/windows/protext/. 2
, (extract) . - MikTEX( ) TEXstudio TEXstudio.
, TEXstudio . LATEX, TEXstudio.
, editor ( )
editor - ( ), , compiler ( .. ) PDF.
2Sthn perptwsh pou oi upersndesmoi de leitourgon, ja qoun pijanc allqje apo toucdhmiourgoc. Me mia apl anazthsh me to google mwc ja brete aut pou yqnete.
http://www.foxitsoftware.com/Secure_PDF_Reader/http://latex-project.org/http://latex-project.org/http://ftp.ntua.gr/mirror/ctan/systems/windows/protext/
-
1. 10
. , LATEX. , - , .
MikTEX . - ., - . MikTEX . packagemanager .
+. - MikTEX. - (Miktex Settings (Admin)) Refresh FNDB .
. Repository Change Package Repository Install from the Internet Repository.
, , . http://www.ctan.org/. .zip . (unzipped) . , - C:\Program Files\miktex\tex\latex . , - MikTEX.
http://www.ctan.org/
-
Keflaio 2
Basik dom keimnou
-, .
2.1 Basiko tpoi eggrfou
, . LATEX , , . \documentclass[options]{file_type} .tex 1 .
.
\documentclass[]{article} ,
, ,...\documentclass[]{report} -
, , - ,...
\documentclass[]{letter} \docunentclass[]{book} , , -
.
\documentclass[]{slides} (options ) [...]
( ). - . :
11
-
2. 12
10pt, 11pt, 12pt ( 10pt LATEX).
letterpaper, a4paper, a5paper,b5paper, executivepaper, legalpaper
( letterpaper LATEX).
leqno - - ( LATEX).
fleqn ( - LATEX).
titlepage, notitlepage - . article , - report book .
twocolumn - .
twoside, oneside - .
openright, openany .
landscape .
..
\documentclass[a4paper,12pt]{book}
LATEX ( book ) 12pt 4.
-
2. 13
2.2 Pakta epiplon entoln
LATEX - , .. . - LATEX. . \usepackage[options]{package} (package) - ( options ) - . , .
LATEX :
fontenc
LATEX.latexsym -
LATEX.makeidx .inputenc
.graphics .
, amsfonts,amssymb, amsmath, amsxtra .
- \begin{document} . LATEX -. \documentclass[options]{file_type} \begin{document} preamble .
2.3 To kurwc sma
, - , begin{document}
LATEX .
end{document}
. . - \ .
-
2. 14
..
\begin{document}
10 9.\end{document}
10 9.
\end{document}, - . LATEX 3 : name.aux , name.log , name.dvi . name.dvi . , - name.dvi postscript ( name.ps) name.ps ( name ).
LATEX (: \title{ - }), (: \author{ } ) ( \date{\today } ) \ begin{document} ( \maketitle ) ( \tableofcontents ).
..
\documentclass{article}\title{ LATEX}\author{ }\date{5/7/2014 }\begin{document}\maketitle\end{document}
LATEX
5/7/2014
LATEX , , . :\begin{environmentname} \end{environmentname} , -
( ). LATEX ., \newcommand \newenvironment . :\newenvironment{ name }[ num ]{ before }{ after } . , , ..:quote ( )
-
2. 15
quotation ( )verse ( )array ( )eqnarray ( )tabbing ( )tabular ( )verbatim ( )
LATEX , ,, - --. . documentclass . article, , book. , abstract, .
1 chapter 2 section 3 subsection 4 subsubsection 5 paragraph 6 subparagraph
..
\begin{document}\section{1 }\subsection{ }\subsection{ }\section{1 }\subsection{ }\subsection { }...\end{document}
1 1
1.1 1.2
2. 2
2.1 2.2
book report . - . . \appendix . , . , LATEX .
, \footnote{text}. .
tableofcontents
-
2. 16
. , , \begin{document } , \end{document}.
LATEX , abstract -, .
- , , , , ,... .
,tabs , enter , . , LATEX, . , . , \;\. \quad \qquad. !.
\hspace{20 mm}.
..
.\hspace{20 mm} . .
. .
\vspace{6 cm } .
..
-
2. 17
.\vspace{6 cm} . .
.
.
\newpage. , .
LATEX , - . , , .
flushleft \raggedright center \centering
flushright \raggedleft
LATEX 15pt . - :\setlength{\parindent}{ } . -
:\noindent . \linespread . ( )
, : \usepackage{setspace} (
\begin{document}) .
-
2. 18
- :
doublespacing onehalfspacing singlespacing
\setstretch{baselinestretch } , \begin{spacing}{2.5 }...\end{spacing} () .
- . , . - : (itemize ) (enumerate ) (description ) (paralist )
:\begin{list type}\item The first item\item The second item\item The third etc \ldots\end {list type }
LATEX . \\ \newline. . (tilde ).
..
. \\ .
. .
. $ & % { } \. LATEX . $ & % { } \ \$ \& \% \\{ \}. LATEX . , { } .
-
2. 19
% . ( ) - \usepackage{verbatim}, \begin{comment}. . .\end{comment}\end{document}
..
\documentclass{article}\begin{document} .% .\end{document}
.
:\textrm {...}{ \rmfamily ... } .
:\textsf{ } ( Sans serif font )\texttt{ } ( Teletype font )\textit{ } ( Italic )
..
\textit{ . } .
\textsc{ } ( Small capital )\textbf{ } ( Bold font )
..
\textbf{ . }
.
\tiny
..
-
2. 20
\begin{tiny } .\end{tiny }
O Jodwrc enai pra pol kalc sta
majhmatik.
\scriptsize\footnotesize\small\normalsize\large\Large\LARGE\huge\Huge
..
\begin{LARGE} .\end{LARGE}
O Jodwrc enai prapol kalc stamajhmatik.
LATEX , . \mbox {. . . }.
..
:
-\mbox{}
-
LATEX .\usepackage { color } :\textcolor{declared-color}{text}
: \pagecolor{declared-color}
: \colorbox{declared-color}{text} : white, black, red, green, blue, cyan, magenta, yellow .
-
Keflaio 3
Ttloi, Perieqmena,Keflaia
3.1 Ttloi
LATEX . .
1. maketitle. \begin{document} . :\maketitle -.
2. maketitle title - (preamble). :
3.1.1.\title{}
3. -: author (preamble). :
3.1.2.\author{}
21
-
3. , , 22
, - :
3.1.3.
\documentclass{article}...
\author{}\title{}\begin{document}\maketitle...
\end{document}
Ttloc
Suggrafac
5 Septembrou 2014
3.2 Perieqmena
. LATEX tableofcontents. - . :
3.2.1.\begin{document}\newpage\tableofcontents
LATEX . - . \chapter{Title1}[Title2] - Title1 Title2 ., - . LATEX hyperref -(preamble) \usepackage{hyperref}
-
3. , , 23
\usepackage[colorlinks]{hyperref} .
3.3 Keflaia
. LATEX /// /. - :
1. \chapter{ } . - (book) .
2. \section{ } . - (book) (article) .
3. \subsection{ } . (book) (article) .
. - // . chapter. \chapter - .\chapter{ }[ ] :\chapter[ ] .
-
Keflaio 4
Peribllonta
LATEX . ( abstract), ( tabular) ( framed).
4.1 Abstract
Abstract . - , , . :
4.1.1.
\begin{abstract} .\end{abstract}
Perlhyh
Aut ja enai h domthc perlhyc mac.
Abstract - . - ( :).
24
http://tex.stackexchange.com/questions/68222/define-abstract-environment-in-book%E2%80%8C%E2%80%8B
-
4. 25
4.2 Description
. description. , \item :
4.2.1.\begin{description}\item[item] .\item[] \end{description}
item .
.
4.3 Enumerate
, . Enumerate. - \item . Enumerate :
4.3.1.\begin{enumerate}\item .\item .\end{description}
1. - .
2. .
Enumerate Enumerate \setcounter{enumi}{ } :
4.3.2.
-
4. 26
\begin{enumerate}\setcounter{enumi}{3}\item item 3.\item .\end{description}
4. item - 3.
5. .
\usepackage{enumerate} Enumerate. , :
4.3.3.
\begin{enumerate}[i)]\item item i\item item ii\end{enumerate}\begin{enumerate}[(1)]\item item 1\item item 2\end{enumerate}\begin{enumerate}[I.]\item item I\item item II\end{enumerate}
i) item i
ii) item ii
(1) item 1
(2) item 2
I. item I
II. item II
4.4 Itemize
LATEX Itemize - . Enumerate . Enumerate:
4.4.1.\begin{itemize}\item .\item .\end{description}
.
- - -.
-
4. 27
Enumerate Itemize .
-
Keflaio 5
Jewrmata, orismo,paradegmata
5.1 Basikc nnoiec
, , , , - . -
\newtheorem{name}[counter]{text}[section]
\begin{name}[Name] . , . , name - . -, text
5.1.1. .. :
\documentclass[10pt,a4paper]{article}
\newtheorem{defin}{Definition}
\begin{document}
\begin{defin}
A prime number (or a prime) is
a natural number greater than
1 that has no positive divisors
other than 1 and itself
\end{defin}
\end{document}
1. A prime number(or a prime) is a natural numbergreater than 1 that has no positivedivisors other than 1 and itself
28
-
5. , , 29
- def - Definition ( ).
, , -, [Name]
5.1.2. .\documentclass[10pt,a4paper]{article}
\newtheorem{defin}{Definition}
\begin{document}
\begin{defin}[Function]
A function is a relation
between a set of inputs and a
set of permissible outputs with
the property that each input is
related to exactly one output.
\end{defin}
\end{document}
2. [Function] A func-tion is a relation between a set ofinputs and a set of permissible out-puts with the property that each in-put is related to exactly one output.
- , , $.
5.1.3. $
\documentclass[10pt,a4paper]{article}
\newtheorem{examp}{Example}
\begin{document}
\begin{examp}
$[0,1]$ is a closed space
\end{examp}
\begin{examp}
[0,1] is a closed space
\end{examp}
\end{document}
5.1.4. [0, 1] is aclosed space
5.1.5 (0,1). is aclosed space
5.2 Arjmhsh
, . , am-
sthm \newtheorem* .
5.2.1. .
-
5. , , 30
\documentclass[10pt,a4paper]{article}
\usepackage{amsthm}
\newtheorem{defin}{Definition}
\newtheorem*{defin*}{Definition}
\begin{document}
\begin{defin}
A function is a relation
between a set of inputs and a
set of permissible outputs with
the property that each input is
related to exactly one output.
\end{defin}
\begin{defin*}
A prime number (or a prime) is
a natural number greater than
1 that has no positive divisors
other than 1 and itself.
\end{defin*}
\end{document}
3. A function is a rela-tion between a set of inputs and aset of permissible outputs with theproperty that each input is relatedto exactly one output.
. A prime number (or aprime) is a natural number greaterthan 1 that has no positive divisorsother than 1 and itself.
, , , . - .
5.2.2. -, . .
\documentclass[10pt,a4paper]{article}
\newtheorem{theo}{Theorem}[section]
\newtheorem{ax}{Axiom}[subsection]
\begin{document}
\begin{theo}
There are infinitely many prime numbers.
\end{theo}
\begin{ax}[The parallel postulate:]
That, if a straight line falling on two straight lines make the interior
angles on the same side less than two right angles, the two straight
lines, if produced indefinitely, meet on that side on which are the
angles less than the two right angles.
\end{ax}
\end{document}
-
5. , , 31
0.1. There are infinitely many prime numbers.
0.0.1. [The parallel postulate:] That, if a straight line falling ontwo straight lines make the interior angles on the same side less than tworight angles, the two straight lines, if produced indefinitely, meet on thatside on which are the angles less than the two right angles.
amsthm \swapnumbers . , ., - . [counter] \newtheorem 2 ( 3, 4...) , - .
5.2.3. - .
\documentclass[10pt,a4paper]{article}
\swapnumbers
\newtheorem{theo}{Theorem}[section]
\swapnumbers
\newtheorem{lm}[theo]{Lemma}
\begin{document}
\begin{theo}
There are infinitely many prime numbers.
\end{theo}
\begin{lm}
Let a and b be integers, not both zero, and let d be their greatest
common divisor. Then there exist integers x and y such that ax+by=d
\end{lm}
\end{document}
1.1 . There are infinitely many prime numbers.
1.2. Let a and b be integers, not both zero, and let d be theirgreatest common divisor. Then there exist integers x and y such thatax+by=d
-
5. , , 32
5.3 Morfopoiseic
. , , . amsthm. - , , \newtheorem , \theoremstyle{style} style :
1. definition: ,
2. plain: ,
3. remark: ,
5.3.1. - . 2 theoremstyle Definition.
\documentclass[10pt,a4paper]{article}
\usepackage{amsthm}
\theoremstyle{definition}
\newtheorem{theo}{Theorem}[section]
\newtheorem{lm}[theo]{Lemma}
\theoremstyle{remark}
\newtheorem{defin}{Definition}
\begin{document}
\begin{theo}
There are infinitely many prime numbers.
\end{theo}
\begin{defin}
A \textit{prime number} (or a prime) is a natural number greater
than 1 that has no positive divisors other than 1 and itself
\end{defin}
\begin{lm}
Let a and b be integers, not both zero, and let d be their greatest
common divisor. Then there exist integers x and y such that
\end{lm}
\end{document}
0.1. There are infinitely many prime numbers.
1. A prime number (or a prime) is a natural number greater than1 that has no positive divisors other than 1 and itself
-
5. , , 33
0.2. Let a and b be integers, not both zero, and let d be theirgreatest common divisor. Then there exist integers x and y such that
,
\newtheoremstyle {name}{abovespace}{belowspace}{bodyfont}
{indent}{headfont}{headpunct}{headspace}{custom-head-spec} . - , . :
name- \theoremstyle{name}
abovespace & belowspace- -. (.. 12pt) - ( .. \baselineskip). , .
bodyfont- () .
indent- . , .
headfont- .
headpunct-
headspace- . , .
custom-head-spec- , . , {commands#1commands#2commands#3}. - , . , - : \thmhead, \thmnumber,\thmnote ., , , .
- .
-
5. , , 34
:
5.3:
\rmfamily Computer Modern Roman \tiny 5pt\sffamily Computer Modern Sans \scriptsize 7pt\ttfamily Computer Modern Typewriter \footnotesize 8pt\mdseries Mediym \small 9pt\bfseries Bold Extended \normalsize 10pt\upshape Normal( roman) \large 12pt\itshape Italics \Large 14.4pt\slshape Slanted( oblique) \LARGE 17.28pt\scshape Caps & small caps ( ) \huge 20.74pt
\Huge 24.88pt
5.3.2. . . -, * , .
\documentclass[10pt,a4paper]{article}
\usepackage{amsthm}
\newtheoremstyle{mine}{24pt}{\baselineskip}{\ttfamily \itshape}{12pt}{\bfseries}
{:=}{\newline}{#1\thmnumber{ \mdseries#2} \thmnote{(\mdseries#3)}}
\theoremstyle{mine}
\newtheorem*{def}{Definition}
\begin{document}
Why dont you look at primes?
\begin{def}
A prime number (or a prime) is
a natural number greater than
1 that has no positive divisors
other than 1 and itself
\end{def}
\end{document}
Why dont you look at primes?
Definition (Prime):=A prime number (or a prime)
is a natural number greater
than 1 that has no positive
divisors other than 1 and
itself
, , \newtheoremstyle .sty \usepackage{package} package - . , \theoremstyle{style} .
-
5. , , 35
5.4 Anafor se jewrmata
-, , LATEX - . , \label{key} , key \ref{key} .
5.4.1. :\begin{def} \label{Pr}
A prime number (or a prime)
is a natural number greater than
1 that has no positive divisors
other than 1 and itself
\end{def}
Ofcourse, even numbers,
except from two, are not
prime numbers as long as
number 2 devides all of them,
something that contradictits the
definition of primes \ref{Pr}
\end{document}
4. A prime number(or a prime) is a natural numbergreater than 1 that has no positivedivisors other than 1 and itself
Ofcourse, even numbers, exceptfrom two, are not prime numbers
as long as number 2 devides all ofthem, something that contradictits
the definition of primes (4)
5.4.1 Apodexeic
.. - proof amsthm.
5.4.2. \begin{theorem}
There are infinitely many prime
numbers.
\begin{proof}
Start by assuming that the
set of all primes is finite.
The result will contradict this
assumption.
\end{proof}
\end{theorem}
5.3. There are in-finitely many prime numbers.
Proof. Start by assuming that theset of all primes is finite. The resultwill contradict this assumption.
, , Proof - .
-
5. , , 36
5.3 -, \text--{} . , \textsf{} . . -, , , , , N H J I ... :\renewcommand{\qedsymbol}{$\blacksquare$} $\blacksquare$ $\blacklozenge$, $\blacktriangle$,$\blacktriangledown$, $\blacktriangleleft$, $\blacktriangleright$
. Halmos :
\newcommand{\halmos}{\rule{1mm}{2.5mm}}
\renewcommand{\qedsymbol}{\halmos}
, . \renewcommand{\qed}{} \qedhere .
5.4.3. Proof .
\begin{theorem}
There are infinitely many prime
numbers.
\end{theorem}
\begin{proof}[\textbf{(Not the
only)} \large{Proof}]
Start by assuming that the set
of all primes is finite. The
result will contradict this
assumption.
\renewcommand{\qed}{}
\end{proof}
5.4. There are in-finitely many prime numbers.
(Not the only) Proof. Start byassuming that the set of all primesis finite. The result will contradictthis assumption.
-
Keflaio 6
Eisagwg MajhmatiknFormn
6.1 Peribllonta
, amsmath, \usepackage{amsmath}, . . - $ .
Equation $ax^2+bx+c=0$ has
exactly two roots.Equation ax2 + bx+ c = 0 hasexactly two roots.
The tank volume is $10m^3$.The tank volume is 10m3.
$ , - .
Equation $$ax^2+bx+c=0$$ has
exactly two roots.
Equation
ax2 + bx+ c = 0
has exactly two roots.
37
-
6. 38
The tank volume is $$10m^3$$.
The tank volume is
10m3
.
, - equation. LATEX equation .
Equation
\begin{equation}
ax^2+bx+c=0
\end{equation}
has exactly two roots.
Equation
ax2 + bx+ c = 0 (6.1)
has exactly two roots.
Einstein said
\begin{equation}
e=m \cdot c^2
\end{equation}
Everybody knows it, yet few
people actually get it.
Einstein said
e = m c2 (6.2)
Everybody knows it, yet fewpeople actually get it.
6.2 Trpoi arjmhshc
, equation . - \begin{equation} \end{equation} , \begin{equation*} \end{equation*}.
-
6. 39
Equation
\begin{equation*}
ax^2+bx+c=0
\end{equation*}
has exactly two roots.
Equation
ax2 + bx+ c = 0
has exactly two roots.
Einstein said
\begin{equation*}
e=m \cdot c^2
\end{equation*}
Everybody knows it, yet few
people actually get it.
Einstein said
e = m c2
Everybody knows it, yet fewpeople actually get it.
- \tag{}.
Einstein said
\begin{equation*}
e=m \cdot c^2 \tag{relativity}
\end{equation*}
Everybody knows it, yet few
people actually get it.
Einstein said
e = m c2 (relativity)
Everybody knows it, yet fewpeople actually get it.
- \numberwithin{equation}{section}., (2.3) - .
6.3 Anafor
, . , , , . \label{} - \eqref{} .
-
6. 40
.
Einstein said
\begin{equation}\label{type}
e=m \cdot c^2
\end{equation}
Equation \eqref{type} is one
of the most famous mathematical
formulas, yet nobody seems to
know its true meaning.
Einstein said
e = m c2 (6.3)
Equation (relativity) is one of themost famous mathematicalformulas, yet nobody seems toknow its true meaning.
.
Einstein said
\begin{equation*} \label{type}
e=m \cdot c^2 \tag{relativity}
\end{equation*}
Equation \eqref{type} is one
of the most famous mathematical
formulas, yet nobody seems to
know its true meaning.
Einstein said
e = m c2 (relativity)
Equation (relativity) is one of themost famous mathematicalformulas, yet nobody seems toknow its true meaning.
6.4 Lsta basikn majhmatikn telestn kai
sumblwn
- .
-
6. 41
{} x2 x 2 {} x1 x 1 \frac{num}{den} 23 \frac{2}{3}Binomial \binom{top}{bottom}
(23
)\binom{2}{3}
\sqrt[n]{} 3
2 \sqrt[3]{2} \sum {from}{to}
1000 \sum {0}{100}
\prod {from}{to}100
0 \prod {0}{100} \int {from}{to}
502 \int{-2}{50}
\lim {a \to b} lim0100 \lim {0 \to 100} \ne 2 6= 3 2 \ne 3 \ge x 3 x \ge 3 \pi = 3.1415 \pi=3.1415 \infty \infty \{ \} {2, 3} \{2,3\} \text{} 23. 3 23.\text{ 3 }
\dots, \vdots, \cdots, \ddots . . . ,... , ,
. . . \dots, \vdots, \cdots, \ddots
: -, . \left( \right) \left{ \right} . ( 2
3
32 ), -
(
23
32
),
. .
\begin{equation*}
1+2+3+\dots+n=\frac{n(n+1)}{2}
\end{equation*}1 + 2 + 3 + + n = n(n+ 1)
2
\begin{equation*}
\sum_{n=1}^{\infty}
\frac{(-1)^{n+1}} {n}= 1-
\frac{1}{2}+ \frac{1}{3}-
\frac{1}{4}+ \frac{1}{5}- \dots
\end{equation*}
n=1
(1)n+1
n= 11
2+
1
31
4+
1
5. . .
-
6. 42
\begin{equation*}
\prod_{i=2}^{6}
\left(1+\frac{1}{i} \right)=
\left(1+\frac{1}{2} \right)
\cdots = \frac{7}{2}.
\end{equation*}
6i=2
(1 +
1
i
)=
(1 +
1
2
) = 7
2.
\begin{equation*}
\binom{n}{m}=\frac{n!}{m!(n-m)!}
\text{ with } 0!=1
\end{equation*}
(n
m
)=
n!
m!(nm)!with 0! = 1
\begin{equation*}
f(z)=\int_{-\infty}^{+\infty}
f(x)e^(2\pi ixz)dx
\end{equation*}
f(z) =
+
f(x)e2ixzdx
\begin{equation*}
\lim_{x \to
+\infty}\left(e^{-x}
\frac{1}{x+lnx}\right)=+\infty
\end{equation*}
limx+
(ex
1
x+ lnx
)= +
-
Keflaio 7
Peribllonta multline,eqnarray, array kaiIEEEeqnarray
, - . equation , , - - LATEX.
:
1. -.
2. .
3. + -, *.
4. .
7.1 Peribllon multline
multline , . \\ .
multline , . ,
43
-
7. MULTLINE, EQNARRAY, ARRAY IEEEEQNARRAY 44
\shoveleft \shoveright .
\begin{multline}
a+b+c+d+e\\
+f+g+h+i+j \\
+k+l+m
\end{multline}
a+ b+ c+ d+ e
+ f + g + h+ i+ j
+ k + l +m (7.1)
equation*, multline* .
\begin{multline*}
a+b+c+d+e\\
+f+g+h+i+j \\
+k+l+m
\end{multline*}
a+ b+ c+ d+ e
+ f + g + h+ i+ j
+ k + l +m
.
\begin{multline*}
a+b+c+d+e\\
+f+g+h+i+j \\
+k+l+m
\end{multline*}
a+ b+ c+ d+ e
+ f + g + h+ i+ j
+ k + l +m
=.
\begin{multline*}
a + b + c + d + e + f\\
= g + h + i + j + k + l + m
\end{multline*}
a+ b+ c+ d+ e+ f
= g + h+ i+ j + k + l +m
.
-
7. MULTLINE, EQNARRAY, ARRAY IEEEEQNARRAY 45
\begin{multline*}
a + b + c + d= e + f + g + h,
\quad \\
\text{for } 0 \le n
\le n_{\textnormal{max}}
\end{multline*}
a+ b+ c+ d = e+ f + g + h,
for 0 n nmax
.\begin{multline*}
a + b + c + d + e + f+ g \\
+ h + i + j
+ k + l = m
\end{multline*}
a+ b+ c+ d+ e+ f + g
+ h+ i+ j + k + l = m
7.2 Peribllon eqarray
eqarray , array mult-line, .
\begin{eqnarray}
a & = & b + c \\
& = & d + e + f + g + h + i
+ j + k + l \nonumber \\
&& +\: m + n + o \\
& = & p + q + r + s
\end{eqnarray}
a = b+ c (7.2)
= d+ e+ f + g + h+ i+ j + k + l
+m+ n+ o (7.3)
= p+ q + r + s (7.4)
\begin{eqnarray}
a & = & a = a
\end{eqnarray}a = a = a (7.5)
7.3 Peribllon array
array (, ).
-
7. MULTLINE, EQNARRAY, ARRAY IEEEEQNARRAY 46
\begin{array}{col1col2col3...coln}
content...
\end{array}
c central alignmentl left alignmentr right alignment
col1,col2,..coln, . &, \\.
\begin{array}{ccc}
1 & 2 & 3 \\ 4 & 5 & 6
\end{array}
1 2 34 5 6
, - |, , :
\begin{array}{c|cc|}
1 & 2 & 3 \\ 4 & 5 & 6
\end{array}
1 2 34 5 6
, \hline :
\begin{array}{c|c|c}
1 & 2 & 3 \\ \hline
4 & 5 & 6
\end{array}
1 2 34 5 6
.
\begin{array}{rcl}
f: R^3 & \to & R \\ (x,y,z) &
\to & x + y + z \\ f(x,y,z) & =
& x + y + z
\end{array}
f : R3 R(x, y, z) x+ y + zf(x, y, z) = x+ y + z
-
7. MULTLINE, EQNARRAY, ARRAY IEEEEQNARRAY 47
7.4 Peribllon IEEEeqarray
IEEEeqarray . - IEEEtrantools, \usepackage{IEEEtrantools} . IEEEeqarray - . {rCl} , , ( C) .
\begin{IEEEeqnarray}{rCl}
a & = & b + c\\
& = & d + e + f + g + h + i + j
+ k \nonumber\\
&& +\: l + m + n + o\\
& = & p + q + r + s
\end{IEEEeqnarray}
a = b+ c (7.6)
= d+ e+ f + g + h+ i+ j + k
+ l +m+ n+ o (7.7)
= p+ q + r + s (7.8)
. {c} , {lccr} , , . . / ? . equation number , \IEEEeqarraynumspace . .
\begin{IEEEeqnarray}{rCl}
a & = & b + c\\
& = & d + e + f + g + h+ i + j
+ k\\
& = & l + m + n
\end{IEEEeqnarray}
a = b+ c (7.9)
= d+ e+ f + g + h+ i+ j + k(7.10)
= l +m+ n (7.11)
\begin{IEEEeqnarray}{rCl}
a & = & b + c\\
& = & d + e + f + g + h + i + j
+ k \IEEEeqnarraynumspace \\
& = & l + m + n
\end{IEEEeqnarray}
a = b+ c (7.12)
= d+ e+ f + g + h+ i+ j + k (7.13)
= l +m+ n. (7.14)
-
7. MULTLINE, EQNARRAY, ARRAY IEEEEQNARRAY 48
,
\IEEEeqarraymulticol{numberofcolumns}{new_alignment}
, {3} , {l}.
\begin{IEEEeqnarray}{rCl}
\IEEEeqnarraymulticol{3}{l}{a
+ b + c + d + e + f+ g +
h}\nonumber\\ \quad
& = & i + j\\
& = & k + l + m
\end{IEEEeqnarray}
a+ b+ c+ d+ e+ f + g + h
= i+ j (7.15)
= k + l +m (7.16)
IEEEeqnarray . , \nonumber \IEEEnonumber.
\begin{IEEEeqnarray}{rCl}
\IEEEeqnarraymulticol{3}{l}
{a + b + c + d + e + f+ g +
h}\nonumber\\ \quad
& = & i + j\\
& = & k + l + m
\end{IEEEeqnarray}
a = b+ c (7.17)
= d+ e+ f + g + h+ i+ j + k
+ l +m+ n+ o (7.18)
= p+ q + r + s (7.19)
\begin {IEEEeqarray*}, . - \IEEEyesnumber \IEEEyessubnumber.
\begin{IEEEeqnarray}{rCl}
\IEEEeqnarraymulticol{3}{l}
{a + b + c + d + e + f+ g +
h}\nonumber\\ \quad
& = & i + j\\
& = & k + l + m
\end{IEEEeqnarray}
a = b+ c
= d+ e (7.20)
= f + g
-
Keflaio 8
Pnakec
array 7. array , . , () . (tabular ) .
8.1 Ta Peribllonta matrix
() :
8.1.1.
\begin{equation*}
\begin{matrix}
3 & 5 & 2 \\
7 & 11 & 13
\end{matrix}
\end{equation*}
3 5 27 11 13
, matrix ( 4 ). & \\. . matrix pmatrix, bmatrix, Bmatrix, vmatrix Vmatrix (), [], {}, | | || ||.
49
-
8. 50
8.1.2.
\begin{equation*}
\begin{pmatrix}
3 & 5 & e \\
\pi & 11 & \sqrt{-1}
\end{pmatrix}
\end{equation*}
(3 5 e 11
1
)
\begin{equation*}
\begin{bmatrix}
3 & 5 & e \\
\pi & 11 & \sqrt{-1}
\end{bmatrix}
\end{equation*}
[3 5 e 11
1
]
\begin{equation*}
\begin{Bmatrix}
3 & 5 & e \\
\pi & 11 & \sqrt{-1}
\end{Bmatrix}
\end{equation*}
{3 5 e 11
1
}
\begin{equation*}
\begin{vmatrix}
3 & 5 & e \\
\pi & 11 & \sqrt{-1}
\end{vmatrix}
\end{equation*}
3 5 e 11 1
\begin{equation*}
\begin{Vmatrix}
3 & 5 & e \\
\pi & 11 & \sqrt{-1}
\end{Vmatrix}
\end{equation*}
3 5 e 11 1
, \cdots ,\ddots ,\vdots .
8.1.3.
-
8. 51
\begin{equation*}
\begin{bmatrix}
a_{11} & \cdots & a_{1n} \\
\vdots & \ddots & \vdots \\
a_{n1} & \cdots & a_{nn}
\end{bmatrix}
\end{equation*}
a11 a1n... . . . ...an1 ann
-:
8.1.4.
\begin{equation*}
\begin{bmatrix}
\begin{bmatrix}
a_{11} & a_{12} \\
a_{21} & a_{22}
\end{bmatrix} & \mathbf{0} & \mathbf{0} \\
\mathbf{0} & \begin{bmatrix}
b_{11} & b_{12} & b_{13}\\
b_{21} & b_{22} & b_{23}\\
b_{31} & b_{32} & b_{33}\\
\end{bmatrix} & \mathbf{0} \\
\mathbf{0} & \mathbf{0} & \begin{bmatrix}
c_{11} & c_{12}\\
c_{21} & c_{22}\\
\end{bmatrix}
\end{bmatrix}
\end{equation*}
[a11 a12a21 a22
]0 0
0
b11 b12 b13b21 b22 b23b31 b32 b33
00 0
[c11 c12c21 c22
]
\renewcommand\arraystretch{2} .
-
8. 52
8.1.5.
\begin{equation*}
\renewcommand\arraystretch{2}
\begin{bmatrix}
3 & 2 \\
\dfrac{3}{11} & 13 \\
17 & 23 \\
7 & \dfrac{x}{11}
\end{bmatrix}
\end{equation*}
3 2
3
1113
17 23
7x
11
, - \\ \\[x mm] x .
8.1.6.\begin{equation*}
\begin{bmatrix}
3 & 2 \\[1 mm]
\dfrac{3}{11} & 13 \\[3 mm]
17 & 23 \\
7 & 11
\end{bmatrix}
\end{equation*}
3 2
3
1113
17 237 11
\smallmatrix . :
8.1.7.
Producing a small matrix
suitable for use in text :
$ \begin{smallmatrix}
a & c \\
d & b
\end{smallmatrix}$
Producing a small matrix suitablefor use in text : a cd b
\smallmatrix :
psmallmatrix: ( a cd b )
bsmallmatrix: [ a cd b ]
Bsmallmatrix: { a cd b }
-
8. 53
vsmallmatrix: | a cd b |
Vsmallmatrix: a cd b
mathtools., mathtools
matrix*[col] smallmatrix*[col] . col . (c center, l left,r right) .
8.1.8.
\begin{equation*}
\begin{pmatrix}
1 & -1 & 0 \\
-1 & 1 & -1 \\
1 & -1 & 0 \\
-11 & 11 & -11 \\
\end{pmatrix}
\end{equation*}
1 1 01 1 11 1 011 11 11
\begin{equation*}
\begin{pmatrix*}[r]
1 & -1 & 0 \\
-1 & 1 & -1 \\
1 & -1 & 0 \\
-11 & 11 & -11 \\
\end{pmatrix*}
\end{equation*}
1 1 01 1 1
1 1 011 11 11
, matrix - .
10 . , \setcounter{MaxMatrixCols}{x} (x ) preamble. .
8.2 To Peribllon tabular
\begin{tabular}{col}...\end{tabular} - . .
matrix , & \\ . \hline . col
-
8. 54
. r,c,l , , p{width} | .
8.2.1.
\begin{tabular}{|clc|c|}
\hline
$D$ & & $P_u$ &
$\sigma_N $\\
(in) & & ( lbs ) & ( psi
)\\
\hline
5 & test 1 & 285 &
38.00\\
& test 2 & 287 &
38.27\\
& test 3 & 230 &
30.67\\
\hline
10 & test 1 & 430 &
28.67\\
& test 2 & 433 &
28.87\\
& test 3 & 431 &
28.73\\
\hline
\end{tabular}
D Pu N(in) ( lbs ) ( psi )5 test 1 285 38.00
test 2 287 38.27test 3 230 30.67
10 test 1 430 28.67test 2 433 28.87test 3 431 28.73
p{width} .
8.2.2.
\begin{tabular}{|lp{2 cm}|}
\hline
Force
& Force is a vector quantity
defined as the rate of
change of the momentum.\\
\hline
Moment of a force & Moment of
a force
with respect to an origin is
defined ... \\ \hline
\end{tabular}
Force Force is avector quan-tity definedas the rate ofchange of themomentum.
Moment of a force Moment of aforce with re-spect to anorigin is de-fined as ...
-
8. 55
, p{width} c , .
8.2.1 Sugqneush Kelin
-
\cline{n-m}: n m
\multicolumn{num}{col}{text} num col 1 text.
8.2.3.
\begin{tabular}{|c|c|}
\hline
\multicolumn{2}{c}{row g text}
\\
cell g1a & cell g2b \\
cell g1b & cell g2c \\
cell g1c & cell g2d \\
\hline
\end{tabular}
row g textcell g1a cell g2bcell g1b cell g2ccell g1c cell g2d
\multirow{num}{width}{text} multirow. :
num
width . *
text
8.2.4.
\begin{tabular}{|c|c|}
\hline
\multirow{4}{*}{Common g text}
& Column g2a\\
& Column g2b \\
& Column g2c \\
& Column g2d \\
\hline
\end{tabular}
Common g text
Column g2aColumn g2bColumn g2cColumn g2d
1 'Opwc kai prohgoumnwc to col mpore na prei tic timc l,c,r.
-
8. 56
8.2.2 Stoqish dekadikn arijmn
- , dcolumn preamble D{sep-in}{sep-out}{before.after} , :
sep-in .
sep-out - .
before.after . - .
\multicolumn{1}{col}{title} . - .
8.2.5.
\renewcommand\arraystretch{1.5}
\begin{tabular}{cD{,}{.}{5.4}}
\hline
Expression &
\multicolumn{1}{c}{Value} \\ \hline
$ \pi $ & 3,1416 \\ \hline
$\pi^{\pi} $ & 36,46 \\
\hline
$\pi^{\pi^{\pi}} $ & 80663,7 \\
\hline
\end{tabular}
Expression Value
3.1416
36.46
80662.7
, rccol 2 dcolumn.
8.2.3 Sqlia entc pinkwn
\footnote . - ,
2www.ctan.org/pkg/rccol
www.ctan.org/pkg/rccol
-
8. 57
\footnotemark[i] - \end{tabular} \footnotetext[i]{text}, text i .
8.2.6.
\begin{tabular}{lll}
\hline
column 1 & column 2 & column
3 \\
\hline
row 1 & data 1 & data 2 \\
row 2 & data 1
\footnotemark[1] & data 2 \\
row 3 & data 1 & data
2\footnotemark[2] \\
\hline
\end{tabular}
\footnotetext[1]{table
footnote 1}
\footnotetext[2]{table
footnote 2}
column 1 column 2 column 3row 1 data 1 data 2row 2 data 1 1 data 2row 3 data 1 data 22
1table footnote 12table footnote 2
8.2.4 Qrwmatzontac touc pnakec
LATEX - . . \usepackage[table]{xcolor} pream-ble . : white, black, red,green, blue, cyan, magenta, yellow . - \definecolor{name}{model}{color-spec} preamble .
name
model .. RGB,HTML
color-spec .
RGB,HTML , http://www.w3schools.com/html/html_colors.asp . :
\definecolor{orange}{RBG}{255, 153, 0}
\rowcolor, \columncolor, \cellcolor -, \arrayrulecolor
http://www.w3schools.com/html/html_colors.asphttp://www.w3schools.com/html/html_colors.asp
-
8. 58
. , . - \newcolumntype{name}{>{\columncolor{color}}col} name , color col .
8.2.7.
\newcolumntype{y}{>{\columncolor{yellow}}c}
\arrayrulecolor{blue}
\begin{tabular}{|c|y|c| }
\hline
\rowcolor{green}
Country & Country Code
& Major Cities Area Codes
\\
\hline
Austria & +43 &
Innsbruck 512 \\
Belgium & +32 &
Bruxelles 2 \\
Cyprus & +357 &
\cellcolor{red} Nicosia
2 \\
Czech & +420 & Brno 5
\\
\hline
\end{tabular}
\arrayrulecolor{black}
Country Country Code Cities CodesAustria +43 Innsbruck 512Belgium +32 Bruxelles 2Cyprus +357 Nicosia 2Czech +420 Brno 5
\arrayrulecolor{black} . - \rowcolors{row}{odd-color}{even-color} row odd-color, even-color .
8.2.8.
-
8. 59
\rowcolors{2}{white}{yellow}
\begin{tabular}{|cc|}
\hline
Country & Code \\
\hline
France & +33 \\
Germany & +49 \\
Greece & +30 \\
Hungary & +36 \\
Ireland & +353 \\
Italy & +39 \\
Latvia & +371 \\
\hline
\end{tabular}
Country CodeFrance +33
Germany +49Greece +30
Hungary +36Ireland +353Italy +39
Latvia +371
8.3 Eisagwg pinkwn ap lla progrmmata
LATEX LATEX. - . .
Matlab
Matlab latex() sym() Symbolic Math Toolbox.
8.3.1.
>> A=[2 3 5 32 ; 4 5 6 7 ; 4 5 6 8] ;
>> latex(sym(A))
ans =\left(\begin{array}{cccc} 2 & 3 & 5 & 32\\ 4 & 5 & 6 & 7\\ 4
& 5 & 6 & 8 \end{array}\right)
(m-file)matrix2latex 3. . .
3https://code.google.com/p/matrix2latex/
https://code.google.com/p/matrix2latex/
-
8. 60
8.3.2. 4
>> A=[2 3 5 32 ; 4 5 6 7 ; 4 5 6 8] ;
>> matrix2latex(A, , environment, { bmatrix})
ans =
\begin{bmatrix}
$2$ & $3$ & $5$ & $32$\\
$4$ & $5$ & $6$ & $7$\\
$4$ & $5$ & $6$ & $8$\\
\end{bmatrix}
>>matrix2latex(A, , environment, {tabular}, alignment,lcr)
>>ans =
\begin{tabular}{lcr}
\toprule
$1$ & $1$ & $1$\\
$2$ & $4$ & $8$\\
$3$ & $9$ & $27$\\
\bottomrule
\end{tabular}
Python.
Mathematica
LATEX TeXForm[]
8.3.3.
In[1]:= A={{2,3,5},{7,11,13},{17,19,23}};
In[2]:= TeXForm[A]
Out[2]//TeXForm=
\left(
\begin{array}{ccc}
2 & 3 & 5 \\
7 & 11 & 13 \\
17 & 19 & 23 \\
\end{array}
\right)
>Copy As >Latex.
4Gia thn leitourga twn entoln \toprule,\bottomrule tou paradegmatoc enai aparaththh frtwsh tou paktou booktabs
-
8. 61
R
LATEX R xtable. 5
8.3.4.
> library(xtable)
> smoke colnames(smoke) rownames(smoke) xtable(smoke,align="l|ccc")
% latex table generated in R 3.1.1 by xtable 1.7-3 package
% Wed Aug 20 12:14:58 2014
\begin{table}[ht]
\centering
\begin{tabular}{l|ccc}
\hline
& High & Low & Middle \\
\hline
current & 51.00 & 43.00 & 22.00 \\
former & 92.00 & 28.00 & 21.00 \\
never & 68.00 & 22.00 & 9.00 \\
\hline
\end{tabular}
\end{table}
.tex :
High Low Middlecurrent 51.00 43.00 22.00former 92.00 28.00 21.00never 68.00 22.00 9.00
R \begin{table}...\end{table} \centering. \begin{tabular}...\end{tabular} -.
5To pardeigma prorqetai ap thn akloujh istoselda: http://www.cyclismo.org/tutorial/R/tables.html
http://www.cyclismo.org/tutorial/R/tables.htmlhttp://www.cyclismo.org/tutorial/R/tables.html
-
8. 62
Spreadsheets
(Spreadsheet), LATEX Excel. Excel2LaTeX 6.
, Excel2LaTeX.xla Excel Tools >Add-ins >Add.. Excel2LaTeX.xla . - . ( >2007 add-ins) .
, , .
Gnu-meric.7 Gnumeric - - .
: Data >Export Data >Export into other Format.. Latex2e (*.tex) table fragment Latex2e (*.tex) . & , \\ (matrix,tabular) .tex .
6http://www.ctan.org/tex-archive/support/excel2latex/7http://www.gnumeric.org/
http://www.ctan.org/tex-archive/support/excel2latex/http://www.gnumeric.org/
-
Keflaio 9
Pakto hyperref
hyperref LATEX - , LATEX (.. , ). -, hyperref, \usapackage{hyperref} (preamble) LATEX. , (..websites, e-mails, ). hyperref - . :colorlinks( , ), - hidelinks.
\href{https://www.tug.org/
applications/hyperref/
manual.html}{a manual for
hyperref}
a manual for hyperref
\url{https://www.tug.org/
applications/hyperref/
manual.html}
https://www.tug.org/
applications/hyperref/manual.
html
\href , \url .
63
https://www.tug.org/applications/hyperref/manual.htmlhttps://www.tug.org/ applications/hyperref/ manual.htmlhttps://www.tug.org/ applications/hyperref/ manual.htmlhttps://www.tug.org/ applications/hyperref/ manual.html
-
Keflaio 10
Eisagwg eiknwn
LATEX - graphicx. \usepackage{graphicx} \graphicspath{{path/of/the/folder}} -. \includegraphics{image.png}. - scale, width height keepaspectratio - .
\includegraphics[scale=0.2]
{latex_logo}
\includegraphics[width=4cm,
height=2cm]{latex_logo}
\includegraphics[width=\linewidth,
height=.25\textheight,
keepaspectratio=true]{latex_logo}
64
-
Keflaio 11
Sntaxh Bibliografac
- . , , - ( ) . LATEX , .
11.1 Peribllon thebibliography
- thebibliography.
\begin{thebibliography}{99}
99 - .
\bibitem[label]{key}
label key . ,
\cite{key}
label, -. .
65
-
11. 66
\cite{wiki}.
\begin{thebibliography}{99}
\bibitem{wiki} Various, The
\LaTeX Wikibook, 2008. Available
at \url{http://en.wikibooks.org/
wiki/LaTeX}
\end{thebibliography}
[1].
Bibliografa
[1] Various, The LATEXWikibook,2008. Available at http://en.wikibooks.org/wiki/LaTeX
, . , , .
, . , , : , , , , , ISBN, ebook . .
. - , . . BibTEX.
11.2 BibTEX.
BibTEX - . , .
BibTEX - .bib. .
@book{wikibook,
http://en.wikibooks.org/wiki/LaTeXhttp://en.wikibooks.org/wiki/LaTeX
-
11. 67
author={Various},
title={The \LaTeX Wikibook},
year={2008},
url={http://upload.wikimedia.org/wikipedia/commons/2/2d/LaTeX.pdf}
}
, @, . , wikibook.
BibTEX . - @article, @book, @inbook, @booklet, @conference, @phdthesis,@mastersthesis, @proceedings, @unpublished, @misc. author, title, year, publisher, pages, jour-nal, volume, number, url. , .. - , . - . , author= {{John Snow}}. - , and. .
@book{thenot,
language = {english},
author = {Tobias Oetiker and Hubert Partl and Irene Hyna and Elisabeth
Schlegl},
title = {The Not So Short Introduction to LATEX 2" Or LATEX2e in 157
minutes},
year = {2011},
url= {http://tobi.oetiker.ch/lshort/lshort.pdf}
}
@book{gratzer2007latex,
language = {english},
added-at = {2010-01-12T10:59:34.000+0100}, address = {New York},
author = {Gr\"atzer, George},
edition = {4. ed.},
isbn = {978-0-387-32289-6, 978-0-387-68852-7},
keywords = {Latex mathematics},
pages = {XXXIV, 619 S.},
publisher = {Springer},
title = {More Math into LATEX},
url = {http://www.springerlink.com/content/k73023/},
year = {2007}
}
-
11. 68
, - . - BibTEX . :
http://www.bibsonomy.org/
https://zbmath.org/
http://citeseerx.ist.psu.edu/index
http://books.google.com/
http://scholar.google.gr/
.bib .
\bibliographystyle{style}
\bibliography{name_of_the_bib_file}
style name of the bib file .bib .
plain unsrt abbrv alpha . ,
IEEEtran url. hyperref .
, BibTEX TEXstudio . .
BibTEX \cite{}. .bib . .bib
\nocite{*}
http://www.bibsonomy.org/https://zbmath.org/http://citeseerx.ist.psu.edu/indexhttp://books.google.com/http://scholar.google.gr/
-
Keflaio 12
Upostrixh Ellhnikn
LATEX , , . , - UTF-8.
\usepackage[utf8]{inputenc}
, -, babel Johannes Braams. :
\usepackage[lang1,lang2]{babel}
. ,
\usepackage[utf8]{inputenc}
\usepackage[english,greek]{babel}
: , utf8 utf8x iso-8859-7.
. -, : ,, . :
\latintext \greektext
\textlatin{text} text\greektext
\latintext
\textgreek{text} text
69
-
Keflaio 13
Sflmata
LATEX , - . , . . :
1.
2.
3.
13.1 Ljh
. .
Undefined Control Sequence
!Undefined Control Sequence
1.6 \tableofcotets
.
Environment x undefined
70
-
13. 71
! LaTeX Error: Environment x undefined
LATEX . (article,book,report etc.) .
Missing $ inserted
! Missing $ inserted
$ LATEX.
Bad math environment delimiter
! LaTeX error: Bad math environment delimiter
$ display-math, eqnarray, equation ... LATEX , , . .
Extra }, or forgotten $
! Too many }s
. TEX .
. :
1. . .
2. . , .
-
13. 72
13.2 Proeidopoiseic
, . LATEX . :
LaTeX Warning: There were undefined references.
, / (- \ref) - .
LaTeX Warning: There were multiply-defined labels.
\label . .
LaTeX Warning: Overfull \hbox
, LATEX . , . .
13.3 Enstseic
LATEX . , . . -, .
-
Parrthma A
GNU Free DocumentationLicense
Version 1.3, 3 November 2008Copyright c 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc.
Everyone is permitted to copy and distribute verbatim copies of this licensedocument, but changing it is not allowed.
Preamble
The purpose of this License is to make a manual, textbook, or other func-tional and useful document free in the sense of freedom: to assure everyonethe effective freedom to copy and redistribute it, with or without modifying it,either commercially or noncommercially. Secondarily, this License preserves forthe author and publisher a way to get credit for their work, while not beingconsidered responsible for modifications made by others.
This License is a kind of copyleft, which means that derivative works of thedocument must themselves be free in the same sense. It complements the GNUGeneral Public License, which is a copyleft license designed for free software.
We have designed this License in order to use it for manuals for free software,because free software needs free documentation: a free program should comewith manuals providing the same freedoms that the software does. But thisLicense is not limited to software manuals; it can be used for any textual work,regardless of subject matter or whether it is published as a printed book. Werecommend this License principally for works whose purpose is instruction orreference.
73
-
. GNU FREE DOCUMENTATION LICENSE 74
1. APPLICABILITY AND DEFINITIONS
This License applies to any manual or other work, in any medium, thatcontains a notice placed by the copyright holder saying it can be distributedunder the terms of this License. Such a notice grants a world-wide, royalty-freelicense, unlimited in duration, to use that work under the conditions statedherein. The Document, below, refers to any such manual or work. Anymember of the public is a licensee, and is addressed as you. You accept thelicense if you copy, modify or distribute the work in a way requiring permissionunder copyright law.
A Modified Version of the Document means any work containing theDocument or a portion of it, either copied verbatim, or with modificationsand/or translated into another language.
A Secondary Section is a named appendix or a front-matter sectionof the Document that deals exclusively with the relationship of the publishersor authors of the Document to the Documents overall subject (or to relatedmatters) and contains nothing that could fall directly within that overall subject.(Thus, if the Document is in part a textbook of mathematics, a SecondarySection may not explain any mathematics.) The relationship could be a matterof historical connection with the subject or with related matters, or of legal,commercial, philosophical, ethical or political position regarding them.
The Invariant Sections are certain Secondary Sections whose titles aredesignated, as being those of Invariant Sections, in the notice that says thatthe Document is released under this License. If a section does not fit the abovedefinition of Secondary then it is not allowed to be designated as Invariant.The Document may contain zero Invariant Sections. If the Document does notidentify any Invariant Sections then there are none.
The Cover Texts are certain short passages of text that are listed, asFront-Cover Texts or Back-Cover Texts, in the notice that says that the Doc-ument is released under this License. A Front-Cover Text may be at most 5words, and a Back-Cover Text may be at most 25 words.
A Transparent copy of the Document means a machine-readable copy,represented in a format whose specification is available to the general public,that is suitable for revising the document straightforwardly with generic texteditors or (for images composed of pixels) generic paint programs or (for draw-ings) some widely available drawing editor, and that is suitable for input totext formatters or for automatic translation to a variety of formats suitable forinput to text formatters. A copy made in an otherwise Transparent file formatwhose markup, or absence of markup, has been arranged to thwart or discour-age subsequent modification by readers is not Transparent. An image format isnot Transparent if used for any substantial amount of text. A copy that is notTransparent is called Opaque.
Examples of suitable formats for Transparent copies include plain ASCIIwithout markup, Texinfo input format, LaTeX input format, SGML or XML us-ing a publicly available DTD, and standard-conforming simple HTML, PostScriptor PDF designed for human modification. Examples of transparent image for-
-
. GNU FREE DOCUMENTATION LICENSE 75
mats include PNG, XCF and JPG. Opaque formats include proprietary formatsthat can be read and edited only by proprietary word processors, SGML orXML for which the DTD and/or processing tools are not generally available,and the machine-generated HTML, PostScript or PDF produced by some wordprocessors for output purposes only.
The Title Page means, for a printed book, the title page itself, plus suchfollowing pages as are needed to hold, legibly, the material this License requiresto appear in the title page. For works in formats which do not have any titlepage as such, Title Page means the text near the most prominent appearanceof the works title, preceding the beginning of the body of the text.
The publisher means any person or entity that distributes copies of theDocument to the public.
A section Entitled XYZ means a named subunit of the Document whosetitle either is precisely XYZ or contains XYZ in parentheses following textthat translates XYZ in another language. (Here XYZ stands for a specific sec-tion name mentioned below, such as Acknowledgements, Dedications,Endorsements, or History.) To Preserve the Title of such a sec-tion when you modify the Document means that it remains a section EntitledXYZ according to this definition.
The Document may include Warranty Disclaimers next to the notice whichstates that this License applies to the Document. These Warranty Disclaimersare considered to be included by reference in this License, but only as regardsdisclaiming warranties: any other implication that these Warranty Disclaimersmay have is void and has no effect on the meaning of this License.
2. VERBATIM COPYING
You may copy and distribute the Document in any medium, either commer-cially or noncommercially, provided that this License, the copyright notices, andthe license notice saying this License applies to the Document are reproducedin all copies, and that you add no other conditions whatsoever to those of thisLicense. You may not use technical measures to obstruct or control the readingor further copying of the copies you make or distribute. However, you mayaccept compensation in exchange for copies. If you distribute a large enoughnumber of copies you must also follow the conditions in section 3.
You may also lend copies, under the same conditions stated above, and youmay publicly display copies.
3. COPYING IN QUANTITY
If you publish printed copies (or copies in media that commonly have printedcovers) of the Document, numbering more than 100, and the Documents licensenotice requires Cover Texts, you must enclose the copies in covers that carry,clearly and legibly, all these Cover Texts: Front-Cover Texts on the front cover,and Back-Cover Texts on the back cover. Both covers must also clearly andlegibly identify you as the publisher of these copies. The front cover must
-
. GNU FREE DOCUMENTATION LICENSE 76
present the full title with all words of the title equally prominent and visible.You may add other material on the covers in addition. Copying with changeslimited to the covers, as long as they preserve the title of the Document andsatisfy these conditions, can be treated as verbatim copying in other respects.
If the required texts for either cover are too voluminous to fit legibly, youshould put the first ones listed (as many as fit reasonably) on the actual cover,and continue the rest onto adjacent pages.
If you publish or distribute Opaque copies of the Document numbering morethan 100, you must either include a machine-readable Transparent copy alongwith each Opaque copy, or state in or with each Opaque copy a computer-network location from which the general network-using public has access todownload using public-standard network protocols a complete Transparent copyof the Document, free of added material. If you use the latter option, you musttake reasonably prudent steps, when you begin distribution of Opaque copiesin quantity, to ensure that this Transparent copy will remain thus accessible atthe stated location until at least one year after the last time you distribute anOpaque copy (directly or through your agents or retailers) of that edition to thepublic.
It is requested, but not required, that you contact the authors of the Doc-ument well before redistributing any large number of copies, to give them achance to provide you with an updated version of the Document.
4. MODIFICATIONS
You may copy and distribute a Modified Version of the Document under theconditions of sections 2 and 3 above, provided that you release the ModifiedVersion under precisely this License, with the Modified Version filling the roleof the Document, thus licensing distribution and modification of the ModifiedVersion to whoever possesses a copy of it. In addition, you must do these thingsin the Modified Version:
A. Use in the Title Page (and on the covers, if any) a title distinct from thatof the Document, and from those of previous versions (which should, ifthere were any, be listed in the History section of the Document). Youmay use the same title as a previous version if the original publisher ofthat version gives permission.
B. List on the Title Page, as authors, one or more persons or entities respon-sible for authorship of the modifications in the Modified Version, togetherwith at least five of the principal authors of the Document (all of its prin-cipal authors, if it has fewer than five), unless they release you from thisrequirement.
C. State on the Title page the name of the publisher of the Modified Version,as the publisher.
D. Preserve all the copyright notices of the Document.
-
. GNU FREE DOCUMENTATION LICENSE 77
E. Add an appropriate copyright notice for your modifications adjacent tothe other copyright notices.
F. Include, immediately after the copyright notices, a license notice givingthe public permission to use the Modified Version under the terms of thisLicense, in the form shown in the Addendum below.
G. Preserve in that license notice the full lists of Invariant Sections and re-quired Cover Texts given in the Documents license notice.
H. Include an unaltered copy of this License.
I. Preserve the section Entitled History, Preserve its Title, and add to itan item stating at least the title, year, new authors, and publisher of theModified Version as given on the Title Page. If there is no section EntitledHistory in the Document, create one stating the title, year, authors, andpublisher of the Document as given on its Title Page, then add an itemdescribing the Modified Version as stated in the previous sentence.
J. Preserve the network location, if any, given in the Document for publicaccess to a Transparent copy of the Document, and likewise the networklocations given in the Document for previous versions it was based on.These may be placed in the History section. You may omit a networklocation for a work that was published at least four years before the Doc-ument itself, or if the original publisher of the version it refers to givespermission.
K. For any section Entitled Acknowledgements or Dedications, Preservethe Title of the section, and preserve in the section all the substance andtone of each of the contributor acknowledgements and/or dedications giventherein.
L. Preserve all the Invariant Sections of the Document, unaltered in their textand in their titles. Section numbers or the equivalent are not consideredpart of the section titles.
M. Delete any section Entitled Endorsements. Such a section may not beincluded in the Modified Version.
N. Do not retitle any existing section to be Entitled Endorsements or toconflict in title with any Invariant Section.
O. Preserve any Warranty Disclaimers.
If the Modified Version includes new front-matter sections or appendicesthat qualify as Secondary Sections and contain no material copied from theDocument, you may at your option designate some or all of these sections asinvariant. To do this, add their titles to the list of Invariant Sections in theModified Versions license notice. These titles must be distinct from any othersection titles.
-
. GNU FREE DOCUMENTATION LICENSE 78
You may add a section Entitled Endorsements, provided it contains noth-ing but endorsements of your Modified Version by various partiesfor example,statements of peer review or that the text has been approved by an organizationas the authoritative definition of a standard.
You may add a passage of up to five words as a Front-Cover Text, and apassage of up to 25 words as a Back-Cover Text, to the end of the list of CoverTexts in the Modified Version. Only one passage of Front-Cover Text and oneof Back-Cover Text may be added by (or through arrangements made by) anyone entity. If the Document already includes a cover text for the same cover,previously added by you or by arrangement made by the same entity you areacting on behalf of, you may not add another; but you may replace the old one,on explicit permission from the previous publisher that added the old one.
The author(s) and publisher(s) of the Document do not by this License givepermission to use their names for publicity for or to assert or imply endorsementof any Modified Version.
5. COMBINING DOCUMENTSYou may combine the Document with other documents released under this
License, under the terms defined in section 4 above for modified versions, pro-vided that you include in the combination all of the Invariant Sections of allof the original documents, unmodified, and list them all as Invariant Sectionsof your combined work in its license notice, and that you preserve all theirWarranty Disclaimers.
The combined work need only contain one copy of this License, and multipleidentical Invariant Sections may be replaced with a single copy. If there aremultiple Invariant Sections with the same name but different contents, makethe title of each such section unique by adding at the end of it, in parentheses,the name of the original author or publisher of that section if known, or else aunique number. Make the same adjustment to the section titles in the list ofInvariant Sections in the license notice of the combined work.
In the combination, you must combine any sections Entitled History inthe various original documents, forming one section Entitled History; likewisecombine any sections Entitled Acknowledgements, and any sections EntitledDedications. You must delete all sections Entitled Endorsements.
6. COLLECTIONS OF DOCUMENTSYou may make a collection consisting of the Document and other documents
released under this License, and replace the individual copies of this License inthe various documents with a single copy that is included in the collection,provided that you follow the rules of this License for verbatim copying of eachof the documents in all other respects.
You may extract a single document from such a collection, and distribute itindividually under this License, provided you insert a copy of this License intothe extracted document, and follow this License in all other respects regardingverbatim copying of that document.
-
. GNU FREE DOCUMENTATION LICENSE 79
7. AGGREGATION WITH INDEPENDENTWORKS
A compilation of the Document or its derivatives with other separate andindependent documents or works, in or on a volume of a storage or distributionmedium, is called an aggregate if the copyright resulting from the compilationis not used to limit the legal rights of the compilations users beyond what theindividual works permit. When the Document is included in an aggregate,this License does not apply to the other works in the aggregate which are notthemselves derivative works of the Document.
If the Cover Text requirement of section 3 is applicable to these copies of theDocument, then if the Document is less than one half of the entire aggregate, theDocuments Cover Texts may be placed on covers that bracket the Documentwithin the aggregate, or the electronic equivalent of covers if the Document isin electronic form. Otherwise they must appear on printed covers that bracketthe whole aggregate.
8. TRANSLATION
Translation is considered a kind of modification, so you may distribute trans-lations of the Document under the terms of section 4. Replacing Invariant Sec-tions with translations requires special permission from their copyright holders,but you may include translations of some or all Invariant Sections in addition tothe original versions of these Invariant Sections. You may include a translationof this License, and all the license notices in the Document, and any WarrantyDisclaimers, provided that you also include the original English version of thisLicense and the original versions of those notices and disclaimers. In case of adisagreement between the translation and the original version of this License ora notice or disclaimer, the original version will prevail.
If a section in the Document is Entitled Acknowledgements, Dedica-tions, or History, the requirement (section 4) to Preserve its Title (section 1)will typically require changing the actual title.
9. TERMINATION
You may not copy, modify, sublicense, or distribute the Document except asexpressly provided under this License. Any attempt otherwise to copy, modify,sublicense, or distribute it is void, and will automatically terminate your rightsunder this License.
However, if you cease all violation of this License, then your license froma particular copyright holder is reinstated (a) provisionally, unless and untilthe copyright holder explicitly and finally terminates your license, and (b) per-manently, if the copyright holder fails to notify you of the violation by somereasonable means prior to 60 days after the cessation.
Moreover, your license from a particular copyright holder is reinstated per-manently if the copyright holder notifies you of the violation by some reasonable
-
. GNU FREE DOCUMENTATION LICENSE 80
means, this is the first time you have received notice of violation of this License(for any work) from that copyright holder, and you cure the violation prior to30 days after your receipt of the notice.
Termination of your rights under this section does not terminate the licensesof parties who have received copies or rights from you under this License. Ifyour rights have been terminated and not permanently reinstated, receipt of acopy of some or all of the same material does not give you any rights to use it.
10. FUTURE REVISIONS OF THIS LICENSEThe Free Software Foundation may publish new, revised versions of the
GNU Free Documentation License from time to time. Such new versions will besimilar in spirit to the present version, but may differ in detail to address newproblems or concerns. See http://www.gnu.org/copyleft/.
Each version of the License is given a distinguishing version number. Ifthe Document specifies that a particular numbered version of this License orany later version applies to it, you have the option of following the terms andconditions either of that specified version or of any later version that has beenpublished (not as a draft) by the Free Software Foundation. If the Documentdoes not specify a version number of this License, you may choose any versionever published (not as a draft) by the Free Software Foundation. If the Docu-ment specifies that a proxy can decide which future versions of this License canbe used, that proxys public statement of acceptance of a version permanentlyauthorizes you to choose that version for the Document.
11. RELICENSINGMassive Multiauthor Collaboration Site (or MMC Site) means any World
Wide Web server that publishes copyrightable works and also provides promi-nent facilities for anybody to edit those works. A public wiki that anybody canedit is an example of such a server. A Massive Multiauthor Collaboration(or MMC) contained in the site means any set of copyrightable works thuspublished on the MMC site.
CC-BY-SA means the Creative Commons Attribution-Share Alike 3.0 li-cense published by Creative Commons Corporation, a not-for-profit corporationwith a principal place of business in San Francisco, California, as well as futurecopyleft versions of that license published by that same organization.
Incorporate means to publish or republish a Document, in whole or inpart, as part of another Document.
An MMC is eligible for relicensing if it is licensed under this License, andif all works that were first published under this License somewhere other thanthis MMC, and subsequently incorporated in whole or in part into the MMC,(1) had no cover texts or invariant sections, and (2) were thus incorporated priorto November 1, 2008.
The operator of an MMC Site may republish an MMC contained in the siteunder CC-BY-SA on the same site at any time before August 1, 2009, providedthe MMC is eligible for relicensing.
-
ADDENDUM: How to use this License for yourdocuments
To use this License in a document you have written, include a copy of theLicense in the document and put the following copyright and license notices justafter the title page:
Copyright c YEAR YOUR NAME. Permission is granted to copy,distribute and/or modify this document under the terms of the GNUFree Documentation License, Version 1.3 or any later version pub-lished by the Free Software Foundation; with no Invariant Sections,no Front-Cover Texts, and no Back-Cover Texts. A copy of the li-cense is included in the section entitled GNU Free DocumentationLicense.
If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts,replace the with . . . Texts. line with this:
with the Invariant Sections being LIST THEIR TITLES, with theFront-Cover Texts being LIST, and with the Back-Cover Texts beingLIST.
If you have Invariant Sections without Cover Texts, or some other combina-tion of the three, merge those two alternatives to suit the situation.
If your document contains nontrivial examples of program code, we recom-mend releasing these examples in parallel under your choice of free softwarelicense, such as the GNU General Public License, to permit their use in freesoftware.
81
-
Agglik Bibliografa
[1] Various, Latex Wikibook, 2008. [Online]. Available: http://en.wikibooks.org/wiki/LaTeX
[2] T. Oetiker, H. Partl, I. Hyna, and E. Schlegl, The Not So ShortIntroduction to LATEX 2 Or LATEX2e in 157 minutes, 2011. [Online].Available: http://tobi.oetiker.ch/lshort/lshort.pdf
[3] G. Gratzer, More Math into LATEX, 4th ed. New York: Springer, 2007.[Online]. Available: http://www.springerlink.com/content/k73023/
[4] S. M. Moser, How to Typeset Equations in LATEX, 2013. [Online]. Available:http://moser-isi.ethz.ch/docs/typeset equations.pdf
[5] Economics Graduate Student Association, Text Formatting with LATEX,a Tutorial, 2007. [Online]. Available: http://www.unc.edu/depts/econ/egsa/LaTeX.pdf
[6] D. Carlisle, S. Pakin, and A. Holt, The Great, Big List of LATEXSymbols,2001. [Online]. Available: https://www.rpi.edu/dept/arc/training/latex/LaTeX symbols.pdf
[7] H. J. Greenberg, A Simplified Introduction to LATEX, 2004. [Online]. Avail-able: ftp://ftp.tex.ac.uk/ctan%3A/info/simplified-latex/simplified-intro.pdf
[8] LATEX3 Project Team , LATEX 2 font selection, 2000. [Online]. Available:http://latex-project.org/guides/fntguide.pdf
[9] LATEX3 Project Team, LATEX 2 for class and package writers, 2006.[Online]. Available: http://ftp.ntua.gr/mirror/ctan/macros/latex/doc/clsguide.pdf
[10] Indian TEX Users Group, LATEX Tutorials - A Primer, 2003. [Online].Available: https://www.tug.org/twg/mactex/tutorials/ltxprimer-1.0.pdf
[11] O. Bjrndal, Documentation for matrix2latex, 2013. [Online]. Available:https://code.google.com/p/matrix2latex
82
http://en.wikibooks.org/wiki/LaTeXhttp://en.wikibooks.org/wiki/LaTeXhttp://tobi.oetiker.ch/lshort/lshort.pdfhttp://www.springerlink.com/content/k73023/http://moser-isi.ethz.ch/docs/typeset_equations.pdfhttp://www.unc.edu/depts/econ/egsa/LaTeX.pdfhttp://www.unc.edu/depts/econ/egsa/LaTeX.pdfhttps://www.rpi.edu/dept/arc/training/latex/LaTeX_symbols.pdfhttps://www.rpi.edu/dept/arc/training/latex/LaTeX_symbols.pdfftp://ftp.tex.ac.uk/ctan%3A/info/simplified-latex/simplified-intro.pdfftp://ftp.tex.ac.uk/ctan%3A/info/simplified-latex/simplified-intro.pdfhttp://latex-project.org/guides/fntguide.pdfhttp://ftp.ntua.gr/mirror/ctan/macros/latex/doc/clsguide.pdfhttp://ftp.ntua.gr/mirror/ctan/macros/latex/doc/clsguide.pdfhttps://www.tug.org/twg/mactex/tutorials/ltxprimer-1.0.pdfhttps://code.google.com/p/matrix2latex
-
[12] American Mathematical Society, Users Guide for the amsmath Package(Version 2.0), 2002. [Online]. Available: ftp://ftp.ams.org/ams/doc/amsmath/amsldoc.pdf
[13] V. Herbert, Math mode - v.2.32, 2008. [Online]. Available: http://mirrors.ctan.org/info/math/voss/mathmode/Mathmode.pdf
[14] L. F. Mori, Tables in LaTeX2e: Packages and Methods, vol. 1, no.2007, 2007. [Online]. Available: http://www.tug.org/pracjourn/2007-1/mori/mori.pdf
[15] Piet van Oostrum, ystein Bache, and Jerry Leichter, The multirow,bigstrut and bigdelim packages, 2010. [Online]. Available: http://mirror.ctan.org/macros/latex/contrib/multirow/doc/multirow.pdf
[16] Lars Madsen, Will Robertson, and Joseph Wright, The mathtools package,2014. [Online]. Available: http://ftp.cc.uoc.gr/mirrors/CTAN/macros/latex/contrib/mathtools/mathtools.pdf
[17] M. Shell, How to Use the IEEEtran BIBTEX Style. [Online].Available: ftp://tug.ctan.org/pub/tex-archive/macros/latex/contrib/IEEEtran/bibtex/IEEEtran bst HOWTO.pdf
[18] GNU Operating System License Page. [Online]. Available: http://www.gnu.org/licenses/licenses.en.html
83
ftp://ftp.ams.org/ams/doc/amsmath/amsldoc.pdfftp://ftp.ams.org/ams/doc/amsmath/amsldoc.pdfhttp://mirrors.ctan.org/info/math/voss/mathmode/Mathmode.pdfhttp://mirrors.ctan.org/info/math/voss/mathmode/Mathmode.pdfhttp://www.tug.org/pracjourn/2007-1/mori/mori.pdfhttp://www.tug.org/pracjourn/2007-1/mori/mori.pdfhttp://mirror.ctan.org/macros/latex/contrib/multirow/doc/multirow.pdfhttp://mirror.ctan.org/macros/latex/contrib/multirow/doc/multirow.pdfhttp://ftp.cc.uoc.gr/mirrors/CTAN/macros/latex/contrib/mathtools/mathtools.pdfhttp://ftp.cc.uoc.gr/mirrors/CTAN/macros/latex/contrib/mathtools/mathtools.pdfftp://tug.ctan.org/pub/tex-archive/macros/latex/contrib/IEEEtran/bibtex/IEEEtran_bst_HOWTO.pdfftp://tug.ctan.org/pub/tex-archive/macros/latex/contrib/IEEEtran/bibtex/IEEEtran_bst_HOWTO.pdfhttp://www.gnu.org/licenses/licenses.en.htmlhttp://www.gnu.org/licenses/licenses.en.html
-
Ellhnik Bibliografa
[1] , - LATEX. ... 2014.
[2] . , LATEX.
[3] LATEX , 2004.
[4] , LATEX.
[5] , http://arch.icte.uowm.gr/docs/Short_and_Complete_LATEX_presentation.pdf
[6] Foteini Baldimtsi, LATEX.
84
http://eclass.auth.gr/modules/document/document.php?course=MATH115http://eclass.auth.gr/modules/document/document.php?course=MATH115http://www.tem.uoc.gr/~arvas/EM091_07/SHMEIWSEIS/Latex.pdfhttp://wired_gr.users.sourceforge.net/doc/varvarlatex.pdfhttp://users.auth.gr/~hara/Latex.pdfhttp://arch.icte.uowm.gr/docs/Short_and_Complete_LATEX_presentation.pdfhttp://arch.icte.uowm.gr/docs/Short_and_Complete_LATEX_presentation.pdf
LaTeX
, ,
AbstractDescriptionEnumerateItemize
, ,
multline, eqnarray, array IEEEeqnarray multline eqarray array IEEEeqarray
matrix tabular
hyperref thebibliographyBibTeX.
GNU Free Documentation License1. APPLICABILITY AND DEFINITIONS2. VERBATIM COPYING3. COPYING IN QUANTITY4. MODIFICATIONS5. COMBINING DOCUMENTS6. COLLECTIONS OF DOCUMENTS7. AGGREGATION WITH INDEPENDENT WORKS8. TRANSLATION9. TERMINATION10. FUTURE REVISIONS OF THIS LICENSE11. RELICENSINGADDENDUM: How to use this License for your documents