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  • 7/28/2019 Bandichhoc Latex

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    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 1 / 65

    Lam quen vo,i LATEX

    Phin b,an 2.00

    Rohit Vishal KumarReader

    Department of Marketing & Finance

    Xavier Institute of Social ServiceEmail: [email protected]

    Ngu,o,i d.ich: Nguyn Hu,u i

    ,n

    Khoa Toan - Co, - Tin h .ocHKHTN, HQGHN

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    M .uc l .uc

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th

    .u,c hi

    .n vo,i Toan h

    .oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 2 / 65

    Ch,u d gio

    ,i thi .u

    Gio,i thi .u LATEX

    Ma ngun

    du tin c,ua LAT

    EX

    Cu truc tai li .u LATEX

    M .t s mi tru,o

    ,ng

    Nhu,ng mi tru

    ,o

    ,ng phu

    ,c t

    .ap

    Mi tru,o

    ,ng d .ng

    Th .u,c hi .n vo

    ,i Toan h .oc

    Lam vi .c vo,i BIBTEX

    Cac vn d khac

    Cai d .at LATEX

    Kt thuc

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    Ch,u d gio

    ,i thi .u

    M.uc l.uc

    Ch,u d gio,i thi.u

    Lo,i cam o,nb

    ,an quyn

    Lo,i ngu,o,i d.ichM.t s quy d.inh

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M

    .t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 3 / 65

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    Lo,i cam o

    ,n

    M.uc l.uc

    Ch,u d gio,i thi.u

    Lo,i cam o,nb

    ,an quyn

    Lo,i ngu,o,i d.ichM.t s quy d.inh

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M

    .t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 4 / 65

    Rt nhiu gio, da di qua d,lam trnh chiu nay. Nhu,ng trn ht trnh chiu nay co ch tu, lo,i

    ch, trch va nh .n xet tu

    , nhiu ngu,o,i khac nhau sau dy:

    Subha Natarajan vo,i d .oc ki,m tra tu, phin b

    ,an so,m nht nht c

    ,ua tai li .u thiu sot trong

    LATEX . Dan Luecking vo,i danh sach chi tit cac li ma c .u,c ky co ch cho phat tri,n phin

    b,an c

    ,ua tai li .u. Kenneth Jacker vo

    ,i cac tu, ngu, m .anh me va Phil M Perry vo,i trang theo

    trang bnh lu .n c,ua trnh chiu tu, phin b

    ,an ban du. D Venu Gopal vo,i vi .c g

    ,u,i cho ti

    nhu,ng trnh chiu hay trong LATEX.

    Cam o,n cac tac gi

    ,a Hendri Adriaens and Christopher Ellison v lo

    ,p powerdot va cac

    tac gi,a Denis Girou, Sebastian Rahtz and Timothy Van Zandt v goi l .nh fancyvrb .

    Cui cung, cam o,n v .o, ti, Neerajakshi, va con trai ti, Devansh, ma no th .u

    ,c hi .n trn may

    tnh c,ua ti gy ra c

    ,am hu,ng. Ti khng th

    ,hoan thanh thiu s .u

    , tai tr .o, c

    ,ua cac b .an. Va tt

    c ,a nhu,ng ai ly tai li .u nay MFwL Version 1 va tm thy co ch. Tt nhin li vn con va ch,s

    ,u,a du, .o

    ,c no ging nhu, Harry Potter, da ngh la you-know-who.

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    b,an quyn

    M.uc l.uc

    Ch,u d gio,i thi.u

    Lo,i cam o,nb

    ,an quyn

    Lo,i ngu,o,i d.ichM.t s quy d.inh

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M

    .t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 5 / 65

    Tai li .u nay th .u,c hi .n theo LATEX Project Public License (LPPL) Version 1.3c ho .ac

    m .oi phin b,an mo,i ho,n th .u

    ,c hi .n hoa b,o,i d .u

    , an LATEX3 .

    B,an sao b

    ,an quyn co th

    ,tm

    ,o, dy: LATEX Project.

    http://www.latex-project.org/lppl/lppl-1-3c.txthttp://www.latex-project.org/lppl/lppl-1-3c.txthttp://www.latex-project.org/lppl/lppl-1-3c.txthttp://www.latex-project.org/lppl/lppl-1-3c.txthttp://www.latex-project.org/lppl/lppl-1-3c.txthttp://www.latex-project.org/lppl/lppl-1-3c.txt
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    Lo,i ngu

    ,o

    ,i d .ich

    M.uc l.uc

    Ch,u d gio,i thi.u

    Lo,i cam o,nb

    ,an quyn

    Lo,i ngu,o,i d.ichM.t s quy d.inh

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M

    .t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 6 / 65

    Ti ly tai li .u nay t .ai d.ia ch,

    ftp://tug.ctan.org/pub/tex-archive/info/MFwL/

    M .uc dch la truyn ba cho ngu,o,i mo,i h .oc TEX va h .oc cach lam, bin d.ich lam trnh

    chiu vo,i lo,p powerdot.cls.Ti thch d.inh d .ang nay v:1. Trnh chiu co m .uc l .uc2. Mi phn du m

    ,o, ra b

    ,o,i m .t trang

    3. Cac d.inh ly, Hnh, B,ang, Toan va Trch dn du th .u

    ,c hi .n bnh thu,o,ng trong

    LATEX4. u,a dng h ln trang trnh chiu.

    Tai li .u nay d .at t .aihttp://nhdien.wordpress.com

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    M .t s quy d .inh

    M.uc l.uc

    Ch,u d gio,i thi.u

    Lo,i cam o,nb

    ,an quyn

    Lo,i ngu,o,i d.ichM.t s quy d.inh

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M

    .t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 7 / 65

    Tai li .u nay danh cho nhu,ng ngu,o,i mo,i dung LATEX trn h . diu hanh Windows.

    Nguyn nhn chnh la hu nhu, nhu,ng ngu,o,i dung may tnh du cai d .at MSWindows va do do MS Word. Tai li .u cung cp ky nang vit ho

    ,n la tn tho,i gian

    ch .on phng, m`au,....

    M .t s thng nht dung trong trnh chiu nay:

    Ma l .nh: Ma l .nh du,.o,c th

    ,hi .n trong khung vo

    ,i dong co s nhu, sau:

    Bt

    `u ma l.nh

    1 Dong ma l.nh

    2 ....

    3 Dong ma l.nhKt thuc ma l.nh

    u ra: u ra th, hi .n sau du du,o,i dy: c:\output>Lin kt: Siu lin kt xanh lin kt t .ai dy

    http://neeraja-rohit.cjb.net/http://neeraja-rohit.cjb.net/http://neeraja-rohit.cjb.net/http://neeraja-rohit.cjb.net/http://neeraja-rohit.cjb.net/http://neeraja-rohit.cjb.net/http://neeraja-rohit.cjb.net/http://neeraja-rohit.cjb.net/
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    Gio,i thi .u LATEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEXl.ich s

    ,u,c ,ua TEX & LATEX

    h. s,

    u,

    ly van b

    ,

    an va LATEXL.o,i th c

    ,ua LATEX

    L.o,i th c,ua LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 8 / 65

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    l.ich s,u

    ,c

    ,ua TEX & LATEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEXl.ich s

    ,u,c ,ua TEX & LATEX

    h. s,

    u,

    ly van b

    ,

    an va LATEXL.o,i th c

    ,ua LATEX

    L.o,i th c,ua LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M.t s mi tru,o

    ,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 9 / 65

    TEXdu,.o,c t .ao ra b

    ,o,i Prof. Donald Knuth

    ng y khng b `ang long vo,i s,u,a d

    ,i cui cung c

    ,ua ng y Magnum Opus

    The Art of Computer Programming

    Kh

    ,

    o

    ,

    i d`u lam TEX nam 1977 va phin b

    ,

    an d`u tin hi .n th .u

    ,

    c hoa nam 1982 Kt qu ,a du, .o

    ,c tai tr .o, b ,o,i H .i Toan h .oc My (American Mathematical Society)

    Tuy nhin, TEX khng ph,ai la phn mm thn thi .n ngu

    ,o,i dung Nam 1985, Leslie Lamport t .ao ra LATEX giao di .n cho TEX LATEX da du

    ,.o,c phat tri

    ,n b

    ,o,i m .t nhom - Frank Mittelbach, David Carlisle et.

    al. va hi .n th .u,c hoa nhu, LATEX 2 nam 1994

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    h . s,u

    ,ly van b

    ,an va LATEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEXl.ich s

    ,u,c ,ua TEX & LATEX

    h. s,

    u,

    ly van b

    ,

    an va LATEXL.o,i th c

    ,ua LATEX

    L.o,i th c,ua LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M.t s mi tru,o

    ,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 10 / 65

    Vit m .t van b,an lo,n co bn gi

    ,ai do .an:

    Vit b,an nhap

    S ap xp chu,

    .oc ki,m tra tnh dung d an

    Lam b,an kt qu

    ,a cui cung

    Nhu,ng ngu,o,i dung so .an th,ao Word Processors - la WYSIWYG m .t cach t .u

    , nhin.Thu,o,ng thu,o,ng dng tho,i vit, xp chu,, trang tr va ki

    ,m tra dung dng tho,i. V

    d .u, d,i co, phng tiu d, ki

    ,m tra ngu, phap, chnh t

    ,a dng tho,i. iu nay lam sao

    nhang nhu,ng nhi .m v .u chnh so .an th,ao van b

    ,an.

    LATEX gi,am thi

    ,u nhu, .o

    ,c di,m nay b `ang cach tac v .u xp chu

    , va d,y ngu,o,i dung to,i

    xem xet cu truc logic c,ua van b

    ,an.

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    L .o,i th c

    ,ua LATEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEXl.ich s

    ,u,c ,ua TEX & LATEX

    h. s,

    u,

    ly van b

    ,

    an va LATEXL.o,i th c

    ,ua LATEX

    L.o,i th c,ua LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M.t s mi tru,o

    ,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 11 / 65

    LATEX cung cp l .o,i th sau dy:

    1. Cu truc Tai li .u: LATEX thuc d,y ngu,o,i dung ngh v cu truc c

    ,ua tai li .u. Nhu

    , ngu,o,idung ph

    ,ai ngh to,i n .i dung c

    ,ua chapters, sections, subsections etc. iu nay dn dn

    th

    ,

    hi .n t

    ,

    chu

    ,

    c tai li .u toan c .uc.2. .inh d .ang thng nht: tai li .u LATEX du,.o,c d.inh d .ang thng nht. Tt c

    ,a Chu,o,ng,o .an, Du

    ,o,i do .an cung m .t d.inh d .ang kh ap no,i.

    3. u ra tnh chuyn nghi .p: LATEX du,a ra s

    ,an ph

    ,m cung d.inh d .ang nu d . phn gi

    ,ai

    va h . diu hanh la nhu, nhau. M .ac d.inh du ra la d.inh d .ang DVI (Device Independent).

    No cung co th

    ,

    du,a ra PS (Postscript) ho .ac PDF (Portable Document Format)

    4. Ma ngun co th,

    dung l .ai: Tai li .u LATEX co th,d.inh d .ang l .ai du ra theo ma ngun

    da co b `ang bin d.ich l .ai. V ma ngun la van b,an plain text nn co th

    ,dung cho m .oi

    h . diu hanh ma LATEX co,o, do

    5. M,o,

    r .ng kh,a nang: LATEX co th

    ,m

    ,o, r .ng b `ang cach dung cac goi l .nh.Cac goi l .nh

    hi .n co lam m .oi kh ,a nang so .an th ,ao. Nu chu,a co goi l .nh ngu,o,i dung co th, t .u, vitvo,i s .u

    , hi,u bit l .p trnh t nht

    6. Min ph: LATEX la min ph, t .u, do phn phat va t .u

    , do s,u, d .ung

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    L .o,i th c

    ,ua LATEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEXl.ich s

    ,u,c ,ua TEX & LATEX

    h. s,

    u,

    ly van b

    ,

    an va LATEXL.o,i th c

    ,ua LATEX

    L.o,i th c,ua LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEX

    M.t s mi tru,o

    ,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 12 / 65

    Ca nhn, tu, khi phat hi .n ra LATEX Ti da khng dung h . so .an th,ao word

    processors tru, khi t .ai co, quan m .oi ngu

    ,o,i cn t .p word. Tuy nhin no cung conhu, .o

    ,c di,m:

    1. Khng d cu hnh: Cu hnh LATEX khng d. Nu b .an mun thay d

    ,

    i d.inh d .ang,hnh

    ,anh th co th

    ,dung l .nh co

    , b,an tng thp may tnh

    2. oi h,oi s .u

    ,kin nhn: ung. LATEX doi h

    ,oi h .oc va s

    ,u, d .ung. Nu b .an vn co tac phong

    ch .on van b,an va tu, duy thay d

    ,i b `ang click chu .t th h .oc LATEX ho

    ,i kho

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    Ma ngun du tin c,ua LATEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Tai li.u LATEX du tinbin d.ich t.p ngun LATEXu ra LATEX du tin

    Cu truc tai li.u LATEX

    M.t s mi tru,o,ng

    Nhu

    ,ng mi tru

    ,o,ng phu

    ,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 13 / 65

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    Tai li .u LATEX du tin

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Tai li.u LATEX du tinbin d.ich t.p ngun LATEXu ra LATEX du tin

    Cu truc tai li.u LATEX

    M.t s mi tru,o,ng

    Nhu

    ,ng mi tru

    ,o

    ,ng phu

    ,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 14 / 65

    Bt u ma l.nh1 \documentclass[a4paper,12pt]{article}

    2 \usepackage[utf8]{vietnam}

    3 \begin{document}

    4

    5 Cho $D$ la t.p con c,ua $\bf R$ va cho $f \colon D

    6 \to \mathbf{R}$ la m.t ham gia tr.i th.u,c trn $D$.

    7 Ham s $f$ u,.o,c g.oi la \emph{lin t.uc}

    8

    trn $D$ nu, v

    o

    ,

    i m.oi $\epsilon > 0$ va m.oi $x9 \in D$, tn t.ai m.t s $\delta > 0$

    10 (ma no co th,

    ph.u thu.c vao $x$)

    11 sao cho nu $y \in D$ th,oa man

    12 \[ |y - x| < \delta \] th \[ |f(y) - f(x)|

    13 < \epsilon. \]14

    15 \end{document}Kt thuc ma l.nh

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    bin d .ich t .p ngun LATEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Tai li.u LATEX du tinbin d.ich t.p ngun LATEXu ra LATEX du tin

    Cu truc tai li.u LATEX

    M.t s mi tru,o,ng

    Nhu

    ,ng mi tru

    ,o

    ,ng phu

    ,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 15 / 65

    Gi,a s

    ,u, b .an s

    ,u, d .ung Windows va da cai d .at MiKTEX khi do b .an cn th .u

    ,c hi .n cngvi .c sau d

    ,so .an th

    ,ao:

    Go vao ma ngun trong t .p van b,an dung h . so .an th

    ,ao VieTeX

    Ghi l .ai m .t t .p va d .at tn v d .u nhu,myfile.tex Phn m

    ,o, r .ng c

    ,ua LATEX la .tex

    By gio, m,o, c

    ,u,a s

    ,DOS va go vao:

    Bt u l.nh16

    c:\>latex myfile.tex17 c:\>yap myfile.dvi

    Kt thuc l.nh

    Dong thu, nht noi vo,i LATEX x,u, ly t .p ngun. Nu khng co li, LATEX sinh ra t .p

    DVI (DeVice Independent) ma co th

    ,

    xem du

    ,

    .o

    ,

    c b`ang chu

    ,

    o

    ,

    ng trnh YAP. Vo

    ,

    i Linux,dung XDVI d, xem t .p .dvi.Chu y: Cai nay VieTeX da tch h .o

    ,p b .an ch, nhn nut ho .ac dung caccs phm t at.

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    u ra LATEX du tin

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Tai li.u LATEX du tinbin d.ich t.p ngun LATEXu ra LATEX du tin

    Cu truc tai li.u LATEX

    M.t s mi tru,o,ng

    Nhu

    ,ng mi tru

    ,o

    ,ng phu

    ,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 16 / 65

    Kt qu,a do .an ma trn du

    ,.o,c du,a ra nhu, sau:

    c:\output>

    Cho D la t .p con c,uaR va cho f: D R la m .t ham gia tr.i th .u,c trn D. Ham

    s f du, .o,c g .oi la lin t.uc trn D nu, vo

    ,i m .oi > 0 va m .oi x D, tn t .ai m .t s > 0 (ma no co th

    ,ph .u thu .c vao x) sao cho nu y D th ,oa man

    |y

    x|

    <

    th|f(y) f(x)| < .

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    Cu truc tai li .u LATEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXcu truc tai li.uphn du

    documentclass: di stuy ch.onphn du: cac tuy ch.onkhac

    phn du: d.inh d.ang cuicung

    Thn tai li.uphu,o,ng thu,c do.annh.p vao cac ky t.u, d.ac bi.t

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thucc Rohit Vishal Kumar Nguyn Hu,u i

    ,n http://nhdien.wordpress.com/ ([email protected]) 17 / 65

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    cu truc tai li .u

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXcu truc tai li.uphn du

    documentclass: di stuy ch.onphn du: cac tuy ch.onkhac

    phn du: d.inh d.ang cuicung

    Thn tai li.uphu,o,ng thu,c do.annh.p vao cac ky t.u, d.ac bi.t

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thucc Rohit Vishal Kumar Nguyn Hu,u i

    ,n http://nhdien.wordpress.com/ ([email protected]) 18 / 65

    Tai li .u LATEX chia lam hai phn:

    PH N U: Chu,a tt c

    ,a cac thng tin d.inh d .ang, khai bao cac goi l .nh du

    ,.o,c

    dung, tiu d tai li .u, tac gi,a,....

    PH N THN: chu,a toan b . tai li .u ta cn go vao.

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    phn du

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXcu truc tai li.uphn du

    documentclass: di stuy ch.onphn du: cac tuy ch.onkhac

    phn du: d.inh d.ang cuicung

    Thn tai li.uphu,o,ng thu,c do.annh.p vao cac ky t.u, d.ac bi.t

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thucc Rohit Vishal Kumar Nguyn Hu,u i

    ,n http://nhdien.wordpress.com/ ([email protected]) 19 / 65

    Phn du chu,a cac l .nh sau dy:Bt u ma l.nh

    18 \documentclass[option-list]{class-name}

    19 \usepackage[option-list]{package-name}

    20 \title{Name of the Article}

    21 \author{Name of the Author(s)}

    22 \date{17th November, 2005}Kt thuc ma l.nh

    \documentclass[...]{class-name] la b at bu .c. Trong LATEX lo

    ,p van b,an sau la h .o

    ,p l .:

    book: Lo,p van b,an dung lam sach

    report: Lo,p van b,an dung lam bao cao

    article: Lo,p van b ,an dung lam bai bao letter: Lo,p van b

    ,an dung mu vit thu,

    slides: Lo,p van b,an dung lam trnh chiu

    [...] bao gm tuy ch .on, ma co th,co ho .ac khng co. Nu co tuy ch .on th

    LATEX khng dung gia tr.i m .ac d.inh.

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    documentclass: di s tuy ch .on

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXcu truc tai li.uphn du

    documentclass: di stuy ch.onphn du: cac tuy ch.onkhac

    phn du: d.inh d.ang cuicung

    Thn tai li.uphu,o,ng thu,c do.annh.p vao cac ky t.u, d.ac bi.t

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thucc Rohit Vishal Kumar Nguyn Hu,u i

    ,n http://nhdien.wordpress.com/ ([email protected]) 20 / 65

    LATEX cung cp rt nhiu di s tuy ch .on cho documentclass.

    i s Kh,a nang gia tr.i Gia tr.i m .ac d.inh

    Co, m .at chu,Typeface Size 10pt, 11pt, 12pt 10pt

    Co, trang a4paper, a5paper, letterpaperletterpaper, legalpaperexecutivepaper b5paper

    Hu,o,ng trang portrait, landscape portraitTiu d trang titlepage, notitlepage titlepage

    anh s cng thu,c leqno Right sideCan ngang cng thu,c fleqn CenteredLo .ai du ra draft, final finalLo .ai d .at trang oneside, twoside onesideBat

    du chu,o,ng openright, openany openright

    S c .t onecolumn, twocolumn onecolumn

    Chu y: Lo,p slides khng nh .n tt c,a tuy ch .on trn.

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    phn du: cac tuy ch .on khac

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXcu truc tai li.uphn du

    documentclass: di stuy ch.onphn du: cac tuy ch.onkhac

    phn du: d.inh d.ang cuicung

    Thn tai li.uphu,o,ng thu,c do.annh.p vao cac ky t.u, d.ac bi.t

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thucc Rohit Vishal Kumar Nguyn Hu,u i

    ,n http://nhdien.wordpress.com/ ([email protected]) 21 / 65

    \usepackage[option-list]{package-name} du, .o,c dung du,a cac goi

    l .nh khac nhau vao diu khi,n phn t

    ,u, khac nhau c

    ,ua trang van b

    ,an. Goi

    l .nh thu,o,ng co tn vo,i phn m

    ,o, r .ng .sty

    Cac goi l.nh khac nhau co trn CTAN (Comprehensive T

    EX Archive Network).

    Hay d .oc ky tai li .u hu,o,ng dn goi l .nh tru,o,c khi dung no \title{...} dung du,a tiu d vao van b

    ,an

    \author{...} dung du,a tn tac gi,a va no,i lam vi .c

    \\ dung du,a vao b at du dong mo,i

    Nhiu tac gi,a cach ra b

    ,o,i \and

    \date{...} dung du,a ngay thang. Nu ngay khng ch, ra th no ly ngay

    trong may tnh % b at du dong chu thch cho dn ht dong

    http://www.ctan.org/http://www.ctan.org/
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    phn du: d .inh d .ang cui cung

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXcu truc tai li.uphn du

    documentclass: di stuy ch.onphn du: cac tuy ch.onkhac

    phn du: d.inh d.ang cuicung

    Thn tai li.uphu,o,ng thu,c do.annh.p vao cac ky t.u, d.ac bi.t

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thucc Rohit Vishal Kumar Nguyn Hu,u i

    ,n http://nhdien.wordpress.com/ ([email protected]) 22 / 65

    Du,o,i dy phn du vo,i gi,ai thch kem theo.

    Bt u ma l.nh23 \documentclass[a4paper,twocolumn,draft]{article}

    24 \usepackage{graphicx} % dung goi l.nh u,a hnh vao25 \usepackage{setspace} % dung goi l.nh .t ky t.u

    , trng

    26 .. % thm nhiu goi l.nh nu,a

    27 \title{This is my Thesis} % y la tiu

    28 \author{My Name \\ % y la tn tac gi,a

    29 My Institution \\ % y la tn co, quan

    30 ... \\ % .ia ch, nu cn

    31 \and Another Author \\ % Tac gi,a khac

    32

    His Institution \\ % Co

    ,

    quan33 ... \\ % .ia ch

    ,

    34 } % Kt thuc khi tac gi,a author

    35 \date{14 Sept 1972} % cho ngay c.u th,

    Kt thuc ma l.nh

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    Thn tai li .u

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXcu truc tai li.uphn du

    documentclass: di stuy ch.onphn du: cac tuy ch.onkhac

    phn du: d.inh d.ang cuicung

    Thn tai li.uphu,o,ng thu,c do.annh.p vao cac ky t.u, d.ac bi.t

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thucc Rohit Vishal Kumar Nguyn Hu,u i

    ,n http://nhdien.wordpress.com/ ([email protected]) 23 / 65

    Thn tai li .u n `am trong l .nh sau:

    Bt u ma l.nh36 \begin{document} % Bt u tai li.u

    37

    ... % ph`n chnh

    38 \end{document} % Kt thuc tai li.uKt thuc ma l.nh

    LATEX lam vi .c theo ba phu,o,ng thu,c (mode) khac nhau trong tai li .u

    PHU,O,NG THU,C O .AN: Dung s,u, ly van b

    ,an bnh thu,o,ng

    PHU,O

    ,NG THU

    ,C TOAN: Dung x

    ,u, ly d.inh d .ang va cng thu

    ,c toan va co baphu,o,ng thu,c con. Math, Displaymath va Equation

    PHU,O

    ,NG THU

    ,C TRAI QUA PH

    ,AI: M .t lo .ai lo .ai d .ac bi .t dung vo

    ,i m .uc dch

    c .u th

    ,

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    phu,o

    ,ng thu

    ,c do .an

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXcu truc tai li.uphn du

    documentclass: di stuy ch.onphn du: cac tuy ch.onkhac

    phn du: d.inh d.ang cuicung

    Thn tai li.uphu,o,ng thu,c do.annh.p vao cac ky t.u, d.ac bi.t

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thucc Rohit Vishal Kumar Nguyn Hu,u i

    ,n http://nhdien.wordpress.com/ ([email protected]) 24 / 65

    Phu,o,ng thu,c do .an, LATEX lam vi .c vo,i d.inh ngha mi tru

    ,o,ng La phn di .n tch d .ac bi .t trong van b

    ,an noi vo,i LATEX th .u

    ,c hi .n chu,c nang

    d .ac bi .t cho vung nay M .oi mi tru

    ,o,ng trong l .nh \begin{environment} va\end{environment} .

    LATEX cung cp rt nhiu mi tru,o,ng c .u th

    ,

    Mi tru,o,ng co th,t .u

    , t .ao ra va d.inh ngha b,o,i ngu,o,i dung

    Ta se xem xet m .t s mi tru,o,ng c .u th

    , ,o, chu,o,ng sau

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    nh .p vao cac ky t .u,

    d .ac bi .t

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXcu truc tai li.uphn du

    documentclass: di stuy ch.onphn du: cac tuy ch.onkhac

    phn du: d.inh d.ang cuicung

    Thn tai li.uphu,o,ng thu,c do.annh.p vao cac ky t.u, d.ac bi.t

    M.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thucc Rohit Vishal Kumar Nguyn Hu,u i

    ,n http://nhdien.wordpress.com/ ([email protected]) 25 / 65

    Nhu,ng ky t .u, d .ac bi .t sau dy khng th

    ,du,a vao van b

    ,an m .t cach tr .u

    ,c tip.

    Ky t .u,

    d .ac bi .t Go vao Kt qu,a

    # (hash) \# #$ (dollar) \$ $% (percent) \% %_ (underscore) \_ _{ (left curly brace) \{ {

    } (right curly brace) \} }~ (tilde) \~{} ^ (caret) \^{} \ (backslash) $\backslash$ \

    ~ du, .o,c dung d .at du nga trn ky t .u

    , v d .u (); do do cn dung {} d,cho ra

    du nga. ^ du, .o

    ,c dung cho ch, s trn trong mi tru,o,ng toan (XA); do do cn {} d

    ,co

    ky hi .u nay. \ dung thm \ la \\ la l .nh xung dong. , nh .n dung \ ta dung$\backslash$

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    M .t s mi tru,o

    ,ng

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Can ngang dong

    Chm den va danh sach

    Chm den va danh sach (vd.u)

    mi tru,o,ng quotationMi tru,o,ng quotation (v d.u)mi tru,o,ng versemi tru,o,ng abstract

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 26 / 65

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    Can ngang dong

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Can ngang dong

    Chm den va danh sach

    Chm den va danh sach (vd.u)

    mi tru,o,ng quotationMi tru,o,ng quotation (v d.u)mi tru,o,ng versemi tru,o,ng abstract

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 27 / 65

    Can ngang dung di chuy,n m .t khi van b

    ,an qua trai, ph

    ,ai ho .ac tr .ong tm. Xem

    v d .u du,o,i dy:

    Bt u ma l.nh39 \begin{flushleft}

    40 y la ,y qua trai

    41 \end{flushleft}

    42 \begin{flushright}

    43 y la ,y qua ph

    ,ai

    44 \end{flushright}45 \begin{center}

    46 y la ,y vao tm

    47 \end{center}Kt thuc ma l.nh

    c:\output>y la d

    ,y qua trai

    y la d,y qua ph ,ai

    y la d,y vao tm

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    Chm den va danh sach

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Can ngang dong

    Chm den va danh sach

    Chm den va danh sach (vd.u)

    mi tru,o,ng quotationMi tru,o,ng quotation (v d.u)mi tru,o,ng versemi tru,o,ng abstract

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 28 / 65

    LATEX cung cp ba phu,o,ng phap khac nhau du,a phn t

    ,u, danh sach:

    itemize mi tru,o,ng sinh du chm den

    enumerate mi tru,o,ng sinh dnha s

    description mi tru,o,ng sinh nhan d .m

    phn t,u, trong itemize va enumerate du, .o

    ,c s ap thu, t .u, theo l .nh \item.

    phn t,u, trong description du,o,c s ap xp theo l .nh \item[label] .

    Cac phn t,u, co th

    ,lng trong nhau du, .o

    ,c.

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    Chm den va danh sach (v d .u)

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Can ngang dong

    Chm den va danh sach

    Chm den va danh sach (vd.u)

    mi tru,o,ng quotationMi tru,o,ng quotation (v d.u)mi tru,o,ng versemi tru,o,ng abstract

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 29 / 65

    Bt u ma l.nh48 \begin{itemize}

    49 \item y la phn t,u, c

    ,ua itemize

    50 \end{itemize}

    51 \begin{enumerate}52 \item y la phn t

    ,u, c

    ,ua enumerate

    53 \end{enumerate}

    54 \begin{description}

    55 \item[hello] y la phn t,u,

    c,ua description

    56 \end{description}Kt thuc ma l.nh

    c:\output> y la phn t

    ,u, c

    ,ua itemize

    1. y la phn t,u, c

    ,ua enumerate

    hello y la phn t,u, c

    ,ua description

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    mi tru,o

    ,ng quotation

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Can ngang dong

    Chm den va danh sach

    Chm den va danh sach (vd.u)

    mi tru,o,ng quotationMi tru,o,ng quotation (v d.u)mi tru,o,ng versemi tru,o,ng abstract

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 30 / 65

    LATEX cung cp hai mi tru,o,ng du,a do .an.

    quote dung du,a vao do .an trch dn ng an

    quotation dung du,a vao do .an trch dn dai vo,i dong tr ang.

    Khng co s .u, khac nhau nhiu giu,a hai mi tru,o,ng quote va quotation ; tru,mac bn c .anh mi tru

    ,o,ng quotation th .ut vao trong ho,n

    ,o, c

    ,a trai va ph

    ,ai.

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    Mi tru,o

    ,ng quotation (v d .u)

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Can ngang dong

    Chm den va danh sach

    Chm den va danh sach (vd.u)

    mi tru,o,ng quotationMi tru,o,ng quotation (v d.u)mi tru,o,ng versemi tru,o,ng abstract

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 31 / 65

    Bt u ma l.nh57 \begin{quote}

    58 Cac phu,o,ng trnh, hnh

    ,anh, b

    ,ang, chu,o,ng, m.uc $\ldots$

    59 co th,

    u,.o,c gan nhan, u,.o

    ,c \LaTeX{} anh s t.u, .ng v

    60 th ta co th

    ,

    tham kh

    ,

    ao n chung d dang.61 \end{quote}

    62 \begin{quotation}

    63 Cac phu,o,ng trnh, hnh,anh, b

    ,ang, chu,o,ng, m.uc $\ldots$

    64

    co th

    ,

    u

    ,

    .o

    ,

    c gan nhan, u

    ,

    .o

    ,

    c \LaTeX{} anh s

    t.u

    ,

    .ng v65 th ta co th, tham kh,ao n chung d dang.

    66 \end{quotation}Kt thuc ma l.nh

    Cac phu

    ,

    o

    ,

    ng trnh, hnh

    ,

    anh, b

    ,

    ang, chu

    ,

    o

    ,

    ng, m .uc . . . co th

    ,

    du

    ,

    .o

    ,

    cgan nhan, du, .o,c LATEX danh s t .u

    , d .ng v th ta co th, tham kh ,aodn chung d dang.

    Cac phu,o,ng trnh, hnh,anh, b

    ,ang, chu,o,ng, m .uc . . . co th

    ,du, .o

    ,c

    gan nhan, du, .o,c LATEX danh s t .u, d .ng v th ta co th,tham kh

    ,ao

    dn chung d dang.

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    mi tru,o

    ,ng verse

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Can ngang dong

    Chm den va danh sach

    Chm den va danh sach (vd.u)

    mi tru,o,ng quotationMi tru,o,ng quotation (v d.u)mi tru,o,ng versemi tru,o,ng abstract

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 32 / 65

    LATEX cung cp mi tru,o,ng verse cho so .an tho

    ,. Hai bn l thut .a vao va mi dongdu, .o

    ,c cach b `ang l .nh \\. Mi kh,tho, du, .o

    ,c cach b `ang dong tr ang.Bt u ma l.nh

    67 \begin{verse}

    68 Thm m.t chic la d.ung\\

    69 Th la thanh mua thu\\

    70

    71 Thm m.t ting chin gu\\

    72 Thanh ban mai tinh khit... \\73 \end{verse}

    Kt thuc ma l.nh

    c:\output>Thm m .t chic la d .ung

    Th la thanh mua thuThm m .t ting chin guThanh ban mai tinh khit...

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    mi tru,o

    ,ng abstract

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Can ngang dong

    Chm den va danh sach

    Chm den va danh sach (vd.u)

    mi tru,o,ng quotationMi tru,o,ng quotation (v d.u)mi tru,o,ng versemi tru,o,ng abstract

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 33 / 65

    Mi tru,o,ng abstract s ap xp t,ng quan trong lo,p van b

    ,an books, reports va

    articles.Bt u ma l.nh

    74 \begin{abstract}

    75 y la tom tt n.i dung trong bai bao nay.76 \end{abstract}

    Kt thuc ma l.nh

    c:

    \output>

    Tom t at

    y la tom t at n .i dung trong bai bao nay.

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    Nhu,ng mi tru

    ,o

    ,ng phu

    ,c t .ap

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.apmi tru,o,ng b ,ang tabularmi tru

    ,o,ng tabular (v d.u)

    mi tru,o,ng tabbingmi tru,o,ng tabbing (v d.u)

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 34 / 65

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    mi tru,o

    ,ng b

    ,ang tabular

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.apmi tru,o,ng b ,ang tabularmi tru

    ,o,ng tabular (v d.u)

    mi tru,o,ng tabbingmi tru,o,ng tabbing (v d.u)

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 35 / 65

    LATEX cho phep t .ao ra b,ang dung mi tru,o,ng tabular . Chu y nhu,ng d .ac di

    ,m

    sau:

    \begin{tabular}{no-of-columns} doi h,oi ngu,o,i dung ch

    , ra s c .t

    cn t .ao ra. Can ngang theo c .t du

    ,.o,c xac d.inh b

    ,o,i m .t chu

    , cai - l (can trai), r (can ph,ai)

    or c (quy tm). Mi phn t

    ,u, c .t cach b

    ,o,i & va mi hang b

    ,o,i \\

    u,o,ng th,ang ngang b `ang l

    .nh

    \hlineva

    du,o,ng th

    ,ang

    du,ng b `ang l

    .nh

    |.

    u,o,ng th ,ang du,ng co th, du,a vao ch, vo,i s c .t ch, ra . \multicolumn{N}{A}{T} l .nh cho phep xuyn qua cac c .t;

    ,o, dy N ch

    ,

    s c .t xuyn qua, A ch, can ngangc

    ,ua c .t mo

    ,i va T ch, van b

    ,an xuyn qua

    cac c .t nay

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    mi tru,o

    ,ng tabular (v d .u)

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.apmi tru,o,ng b ,ang tabularmi tru

    ,o,ng tabular (v d.u)

    mi tru,o,ng tabbingmi tru,o,ng tabbing (v d.u)

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 36 / 65

    Bt u ma l.nh77 \begin{tabular}{|l|c|r|}

    78 \hline

    79 Thanh ph & Bang & S dn \\

    80 \hline81 New Delhi & NCR & 1,279,000 \\

    82 \hline

    83 Kolkata & WB & 1,322,000 \\

    84 \hline

    85 \end{tabular}Kt thuc ma l.nh

    c:\output>

    Thanh ph Bang S dnNew Delhi NCR 1,279,000

    Kolkata WB 1,322,000

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    mi tru,o

    ,ng tabbing

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.apmi tru,o,ng b ,ang tabularmi tru

    ,o,ng tabular (v d.u)

    mi tru,o,ng tabbingmi tru,o,ng tabbing (v d.u)

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 37 / 65

    LATEX cho phep dung mi tru,o,ng tabbing can ngang van b

    ,an theo c .t. No ho .at

    d .ng b `ang cach d .at danh du b,ang va cho phep nh

    ,ay qua . Nhu,ng thanh phn

    dung b,ang lo .ai nay nhu

    , sau.

    \= d .at du du,ng b

    ,

    ang t .ai v.i tr hi .n tho,i

    \> dn du b,ang tip theo

    \+ chuy,n l trai qua m .t du b

    ,ang bn ph

    ,ai

    \- chuy,n l trai qua m .t du b

    ,ang bn trai

    \kill d

    .at du b

    ,ang khng cho xut hi

    .n van b

    ,an

    \pushtabs ghi l .ai v.i tr b ,ang va cho phep thay d,i v.i tr b ,ang. con day condung \pushtabs tr

    ,a l .ai tt c

    ,a danh du b

    ,ang tru,o,c do

    Ca nhn ti khng bao gio, dung lo .ai mi tru,o,ng nay.

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    mi tru,o

    ,ng tabbing (v d .u)

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.apmi tru,o,ng b ,ang tabularmi tru

    ,o,ng tabular (v d.u)

    mi tru,o,ng tabbingmi tru,o,ng tabbing (v d.u)

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 38 / 65

    Bt u ma l.nh86 \begin{tabbing}

    87 function \= fact(n : integer) : integer;\\

    88 \> begin \= \+ \\

    89 \> if \= n $>$ 1 then \+ \\90 fact := n * fact(n-1) \- \\

    91 end;\\

    92 \end{tabbing}Kt thuc ma l.nh

    c:\output>

    function fact(n : integer) : integer;

    beginif n > 1 thenfact := n * fact(n-1)

    end;

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    Mi tru,o

    ,ng d .ng

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Ngha mi tru,o,ng d.ng lag: mi tru

    ,o

    ,ng d.ng?tuy ch.on mi tru,o,ng d.ng

    mi tru,o,ng tablemi tru,o,ng b ,ang table (vd.u)mi tru,o,ng hnh figuremi tru,o,ng figure (v d.u)

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 39 / 65

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    Ngha mi tru,o

    ,ng d .ng la g: mi tru

    ,o

    ,ng d .ng?

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Ngha mi tru,o,ng d.ng lag

    `: mi tru

    ,o

    ,ng d.ng?tuy ch.on mi tru,o,ng d.ng

    mi tru,o,ng tablemi tru,o,ng b ,ang table (vd.u)mi tru,o,ng hnh figuremi tru,o,ng figure (v d.u)

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 40 / 65

    Vng, b .an nghe khng lm du. LATEX co hai mi tru,o,ng no th .u

    ,c hi .n co, d .ng

    figure va table. Phn thn co, d .ng du,.o,c th .u

    ,c hi .n theo cach d .ac bi .t saudy:

    Bu,

    o,

    c 1: Th

    ,

    u,

    d .at khi d .ng trn trang da thit k thanh cng - th .u

    ,c hi .n va s ap xp trang khng thanh cng - d .at khi d .ng theo thu

    , t .u, FIFO vao hang d .o

    ,i va s apxp trang

    Bu,o,c 2: Kh ,o,i du trang mo,i va ki,m tra khi trang nay th .u,c hi .n khi d .ng

    thanh cng - d .at tt c,a khi d .ng tu

    , hang d .o,i c

    ,ua no co th

    ,

    khng thanh cng - th .u,c hi .n lam trang bnh thu

    ,o,ng va c d .at khi d .ngtrong hang d .o

    ,i vao trang nay. M .oi khi d .ng mo,i xut hi .n trong trang

    du, .o,c du,a vao hang d .o,i

    Bu,o

    ,c 3 L .ap l .ai Bu

    ,o

    ,c 1 va Bu

    ,o

    ,c 2 con th .u

    ,c hi .n khi khi d .ng vn con dangs

    ,u, ly

    thanh cng - du,.o,

    c c

    ,

    vu va tip t .uc nh

    ,

    ay tro cho,

    i khng thanh cng - thng bao va cho, ngu,o,i dung c .p nh .t

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    tuy ch .on mi tru,o

    ,ng d .ng

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Ngha mi tru,o,ng d.ng lag: mi tru,o,ng

    d

    .ng?

    tuy ch.on mi tru,o,ng d.ngmi tru,o,ng tablemi tru,o,ng b ,ang table (vd.u)mi tru,o,ng hnh figuremi tru,o,ng figure (v d.u)

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 41 / 65

    M .t khi d .ng co th,xut hi .n tru

    ,o,c v.i tr d .at no trong van b,an

    Ngu,o,i dung co th,doi h

    ,oi LATEX c d .at khi d .ng t .ai v.i tr mong mun b `ang

    cach ch, ra kh

    ,a nang sau:

    t d .at khi d .ng t .ai du trang nay topb d .at khi d .ng t .ai du trang nay bottomh d .at khi d .ng t .ai dy herep d .at khi d .ng t .ai trang ring page! t

    .ai dy bang [khng khuyn khch]

    Cu phap t,ng quat khi d .ng nhu

    , sau:Bt u ma l.nh

    93 \begin{float-type}[v.i tr .t]

    94 ...

    95 phn n.i dung96 ...

    97 \caption[chu thch rut g.on]{Chu thch b,ang dai}

    98 \label{myfloat}

    99 \end{float-type} Kt thuc ma l.nh

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    mi tru,o

    ,ng table

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Ngha mi tru,o,ng d.ng lag: mi tru,o,ng

    d

    .ng?

    tuy ch.on mi tru,o,ng d.ngmi tru,o,ng tablemi tru,o,ng b ,ang table (vd.u)mi tru,o,ng hnh figuremi tru,o,ng figure (v d.u)

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 42 / 65

    B,ang du, .o

    ,c th .u,c hi .n nhu

    , khi d .ng trong LATEX . Mi tru,o,ng table co th

    ,chu,a

    cac b,ang vo,i mi tru,o,ng tabular. Xem ma ngun table

    Bt u ma l.nh100 \begin{table}[tbh]

    101 \begin{tabular}{|l|c|r|}

    102 \hline

    103 Thanh ph & Bang & S dn \\

    104 \hline

    105 New Delhi & NCR & 1,279,000 \\106 Kolkata & WB & 1,322,000 \\

    107 \hline

    108 \end{tabular}

    109 \caption{B

    ,

    ang c

    ,

    ua ti}110 \label{tab:1}

    111 \end{table}Kt thuc ma l.nh

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    mi tru,o

    ,ng b

    ,ang table (v d .u)

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Ngha mi tru,o,ng d.ng lag: mi tru,o,ng

    d

    .ng?

    tuy ch.on mi tru,o,ng d.ngmi tru,o,ng tablemi tru,o,ng b ,ang table (vd.u)mi tru,o,ng hnh figuremi tru,o,ng figure (v d.u)

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 43 / 65

    Kt qu,a du ra c

    ,ua b

    ,ang nhu, sau:

    c:\output>

    Thanh ph Bang S dn

    New Delhi NCR 1,279,000Kolkata WB 1,322,000

    B,ang 1: B

    ,ang c

    ,ua ti

    Trch dn cheo dung \ref{label-tag} va ch, dn cheo trang\pageref{label-tag}. V .y ta dung ma ngun sau:

    Bt u ma l.nh112 B

    ,ang~\ref{tab:1} u,.o

    ,c lam l.ai,o, trang~\pageref{tab:1}

    Kt thuc ma l.nh

    c:\output>B

    ,ang 1 du, .o

    ,c lam l .ai,o, trang 43

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    mi tru,o

    ,ng hnh figure

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Ngha mi tru,o,ng d.ng lag: mi tru,o,ng

    d

    .ng?

    tuy ch.on mi tru,o,ng d.ngmi tru,o,ng tablemi tru,o,ng b ,ang table (vd.u)mi tru,o,ng hnh figuremi tru,o,ng figure (v d.u)

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 44 / 65

    Hnh,anh co th

    ,du,a vao van b

    ,an LATEX dung mi tru

    ,o,ng figure u,a hnh vao doi h

    ,oi dung goi l .nh graphics ho .ac graphicx

    LATEX co th,dung rt nhiu lo .ai

    ,anh Post Script (PS), Encapsulated Post

    Script (EPS) du,

    .o,c tuy ch

    .on u,u tin.

    Toan b . day l .nh cho hnh nhu, sau:

    Bt u ma l.nh113 \documentclass{article}

    114 \usepackage{graphicx} % bt bu.c

    115 ...116 \begin{document}

    117 \begin{figure}[htb] % bt u mi tru,o,ng

    118 \includegraphics{figure.eps} % u,a,anh figure.eps

    119 \caption{Transistor} % Chu thch hnh120 \label{fig:fig1} % .t nhan

    121 \end{figure} % ht MT

    122 ...

    123 \end{document}Kt thuc ma l.nh

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    mi tru,o

    ,ng figure (v d .u)

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Ngha mi tru,o,ng d.ng lag: mi tru,o,ng d

    .ng?

    tuy ch.on mi tru,o,ng d.ngmi tru,o,ng tablemi tru,o,ng b ,ang table (vd.u)mi tru,o,ng hnh figuremi tru,o,ng figure (v d.u)

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 45 / 65

    u ra la hnh trong t .p transistor.eps vao van b,an

    c:\output>

    v

    R Ra

    i

    12 V

    -12 V

    v

    RR Rb x

    o

    c

    e

    Hnh 1: Transistor

    Ta co th,thay d

    ,i hnh nguyn b

    ,an. Ta lam l .nh dung

    \includegraphics[scale=.1]{transistor.eps} ho .ac quay no. .oc taili .u hu

    ,o,ng dn tru,o,c khi dung hnh graphics.

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    Th .u,c hi .n vo

    ,i Toan h .oc

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.ocSap xp trong mi tru,o,ngtoan

    mi tru,o,ng eqnarraymi tru

    ,o,ng array

    T.ao ma thu.t toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 46 / 65

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    S ap xp trong mi tru,o

    ,ng toan

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.ocSap xp trong mi tru,o,ngtoan

    mi tru,o,ng eqnarraymi tru

    ,o,ng array

    T.ao ma thu.t toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 47 / 65

    LATEX Co th, dung s ap xp toan d dang. LATEX dung phong cach toan nhu

    ,math

    mode vo,i mi tru,o,ng toan. Trong math mode LATEX th .u,c hi .n dung ba lo .ai mi

    tru,o,ng khac nhau:

    1. Math Mode: Phong cach bao ham giu,a $ va $. Cung co th,dung \( va \)

    ho .ac \begin{math} va \end{math}. No t .ao ra cng thu,c toan trn

    cung dong van b,an: 2 =

    ni=1

    (XiX)N

    .2. Display Math Mode: du, .o

    ,c dung \begin{diaplaymath} va

    \end{displaymath} ho .ac dung \[ va \] va cho ra kt qu,a m .t dong

    ring. No khng t .ao ra danh s phu,o,ng trnh.

    2 = ni=1(Xi X)

    N3. Equation Mode: du

    ,.o,c du,a vao \begin{equation} va \end{equation}

    t .ao ra cng thu,c dong ring co danh s cng thu,c.

    2 = n

    i=1(Xi X)N (1)

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    mi tru,o

    ,ng eqnarray

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.ocSap xp trong mi tru,o,ngtoan

    mi tru,o,ng eqnarraymi tru

    ,o,ng array

    T.ao ma thu.t toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 48 / 65

    Mi tru,o,ng eqnarry dung th, hi .n day cng thu,c. No la mi tru,o,ng ba c .t va

    dong cach ra b `ang \\ cac c .t cach nhau b `ang &. No t .ao mi dong du,.o,c danh s,

    nu khng mun danh s dung \nonumber .

    Bt u ma l.nh

    124 \begin{eqnarray}

    125 \sigma & = & \sqrt{\frac{ax^2}{N}} \\

    126 N \sigma^2 & = & {ax^2}

    127 \end{eqnarray}

    Kt thuc ma l.nh

    c:\output>

    = ax2

    N (2)N 2 = ax2 (3)

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    mi tru,o

    ,ng array

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.ocSap xp trong mi tru,o,ngtoan

    mi tru,o,ng eqnarraymi tru

    ,o,ng array

    T.ao ma thu.t toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 49 / 65

    Mi tru,o,ng array tu,o,ng t .u, nhu, mi tru,o,ng tabular . Ch, co khac la no dung

    trong mi tru,o,ng toan h .oc.

    Bt u ma l.nh128 \begin{equation}

    129 \begin{array}{llll}

    130 X_{11} & X_{12} & \cdots & X_{1n} \\

    131 X_{21} & X_{22} & \cdots & X_{2n} \\

    132 \vdots & \vdots & \ddots & \vdots \\

    133 X_{n1} & X_{n2} & \cdots & X_{nn} \\134 \end{array}

    135 \end{equation}Kt thuc ma l.nh

    c:\output>X11 X12 X1nX21 X22 X2n...

    .... . .

    ...Xn1 Xn2 Xnn

    (4)

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    T .ao ma thu .t toan h .oc

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.ocSap xp trong mi tru,o,ngtoan

    mi tru,o,ng eqnarraymi tru

    ,o,ng array

    T.ao ma thu.t toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 50 / 65

    B .an mun nhu, B .an go vao

    xy $ x^{y} $

    xi $ x_{i} $

    xy

    1

    $ x^{y}_{1} $axb

    $ \frac{ax}{b} $n

    x + y $ \sqrt[n]{x + y} $

    x2 + 1 $ \overline{\overline{x}^{2} + 1} $

    a + b + c +d $ \overbrace{a + \underbrace{b+c} + d} $10

    xdx = 0 $ \int_{0}^{1}x dx = 0 $

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    Lam vi .c vo,i BIBTEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEXGio,i thi.u v BIBTEXd.inh d.ang t.p .bibdung BIBTEX

    dung BIBTEX (v d.u)

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 51 / 65

    G B B

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    Gio,i thi .u v BIBTEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEXGio,i thi.u v BIBTEXd.inh d.ang t.p .bibdung BIBTEX

    dung BIBTEX (v d.u)

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 52 / 65

    BIBTEX du,.o,c vit b ,o,i Oren Patashnik

    No d dang du,a tai li .u vao van b,an LATEX

    No du, .o,c phat tri

    ,n dng hanh vo,i LATEX

    Cung cp BIBTEXdu,.o,c xy d .u

    ,ng trong m .oi phin b,an c

    ,ua LATEX

    No la chu,o,ng trnh d .c l .p va du, .o,c g .oi tu, chu,o,ng trnh chnh c ,ua LATEX T .p co

    , s,o, du, li .u bn ngoai (.bib) chu

    ,a b,an ghi tai li .u

    T .p BIBTEX co th,giu,a cac b

    ,an ghi thanh phn sau:

    Article Book BookletConference Inbook IncollectionInproceedings Manual MastersthesisMisc Other PhdthesisProceedings Techreport Unpublished

    di h d bib

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    d .inh d .ang t .p .bib

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEXGio,i thi.u v BIBTEXd.inh d.ang t.p .bibdung BIBTEX

    dung BIBTEX (v d.u)

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 53 / 65

    T .p .bib chu,a cac thanh phn d.inh d .ang sau:

    Bt u ma l.nh136 @ARTICLE{RVK,

    137 author={Rohit Vishal Kumar},

    138 title={{Making Friends with LaTeX}},139 journal={Journal of University},

    140 year={2005},

    141 volume={I},

    142 pages={1--20},143 month={September},

    144 }Kt thuc ma l.nh

    Dong du tin la lo .ai tai li .u @ARTICLE{ va khoa trch dn RVK Cho mi lo .ai taili .u co tru,o,ng. Ph .u thu .c tai li .u chia ra cac tru

    ,o,ng b at bu .c ho .ac khng.

    d ` BIBT X

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    dung BIBTEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEXGio,i thi.u v BIBTEXd.inh d.ang t.p .bibdung BIBTEX

    dung BIBTEX (v d.u)

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 54 / 65

    BIBTEX , m .ac d.inh, dung trch dn danh s trong [ and ]

    ,dung BIBTEX ta ph

    ,ai dung \cite{citation-key} trong tai li .u

    L .nh \nocite{citation-key} th,hi .n trch dn trong van b

    ,an

    ,o, cac t .p

    tai li .u L .nh \bibliography{style-name} dung d, bao cho BIBTEX t .p d.inh

    d .ang trch dn dung d.inh d .ang g trong tai li .u L .nh \bibilography{file-name} dung cung cp tn co

    , s,o, du, li .u cho

    BIBTEX

    Tr .o,

    giup trch dn tho,i gian tac gi

    ,a du

    ,.o,c cung cp b

    ,o,i cac goi l .nh nhu

    ,

    natbib, apacite, harvard, chicago .... iu nay th .u,c hi .n b `ang

    \usepackage{package-name}.

    M .t s trch dn tac gi,a co th

    ,dung thm m .t s l .nh. Khi do b .an ph

    ,ai d .oc ky

    cac hu,o,ng dn do.

    d ` BIBT X ( d )

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    dung BIBTEX (v d .u)

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEXGio,i thi.u v BIBTEXd.inh d.ang t.p .bibdung BIBTEX

    dung BIBTEX (v d.u)

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 55 / 65

    N .ap dy d,u nhu, sau:

    Bt u ma l.nh145 \documentclass{article}

    146 ...

    147 \begin{document}148 Trong bai bao \cite{RVK} % Citing the entry

    149 a tm thy rng

    150 ...

    151 \bibliographystyle{plain} % Default Bib Style152 \bibliography{myref} % Bib file myref.bib

    153 \end{document}Kt thuc ma l.nh

    c:\output>Trong bai bao [ 1 ] da tm thy r `ang

    References

    [1] Rohit Vishal Kumar, Making Friends with LATEX , Journal of University,I:120, September, 2005

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    Cac vn d khac

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cac l.nh phn do.ancac l.nh khacm

    ,o, r.ng LATEX

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 56 / 65

    C l h h d

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    Cac l .nh phn do .an

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cac l.nh phn do.ancac l.nh khacm

    ,o, r.ng LATEX

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 57 / 65

    LATEX cho phep cu truc van b,an b ,o,i cac l .nh phn do .an khac nhau

    Cac l .nh nay dung danh s theo cu truc l gic c,ua tai li .u

    \part

    \chapter\section

    \subsection

    \subsubsection

    \paragraph\subparagraph

    \part va \chapter khng co trong lo,p article.cls \appendix l .nh thay d

    ,i cach danh s ki

    ,u nhu, chapter, section ma

    danh s theo ph .u l .uc

    cac lnh khac

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    cac l .nh khac

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cac l.nh phn do.ancac l.nh khacm

    ,o, r.ng LATEX

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 58 / 65

    B .an mun th .u,c hi .n B .an th .u

    ,c hi .n go vaoB

    ,ang m .uc l .uc \tableofcontents

    Danh sach b,ang \listoftables

    Danh sach hnh \listoffiguresIn nghing \textit{Italics}

    Lam d .m \textbf{Bold Face}

    Khng chn \textsf{Sans Serif}

    D.ang anh may chu,

    \texttt{Type writer style}CHU

    ,HOA NH

    ,O \textsc{Small Caps}

    m,o

    ,rng LAT X

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    mo,

    r .ng LATEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cac l.nh phn do.ancac l.nh khacm

    ,o, r.ng LATEX

    Cai d.at LATEX

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 59 / 65

    LATEX m,o, r .ng b `ang dung goi l .nh

    Ho,n 1000 goi l .nh da co gi,ai cac nhi .m v .u khac nhau

    No co th,dung lam ra cac tai li .u van b

    ,an tt c

    ,a cac ngn ngu,

    Hay ki,m tra CTAN cho cac d.inh ngha goi l .nh

    http://www.ctan.org/http://www.ctan.org/
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    Cai d .at LATEX

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEXcai d.at h. thng LATEX c

    ,ua

    mnh

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 60 / 65

    cai dat h thng LAT X c,ua mnh

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    cai d .at h . thng LATEX cua mnh

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEXcai d.at h. thng LATEX c

    ,ua

    mnh

    Kt thuc

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 61 / 65

    B .an dung h . diu hanh Windows th t,ai v h . thng sau:

    MiKTeX La h . thng LATEXch .ay trn Windows. Nu b .an la ngu,o,i mo,i , Ti khuyn ch

    , t

    ,ai

    v goi MikTeX nh,o. (Version: 2.4.1661 Size: 25.50 MB)

    TeXnicCenter H. so

    .an th

    ,ao IDE dung LAT

    EX trn windows. (Version: 7.01 Size: 4.43 MB)

    VieTeX H . so .an th ,ao dung LATEX trn windows. (Version: 3.0 Size: 20.00 MB)Adobe Acrobat Reader Cng c .u xem t .p Portable Document Format (.pdf) t .ao ra khi

    dung LATEX. (Version: 5.00 Size:8.41 MB)Ghostscript Ghostscript la nn t

    ,ang sinh ra postscript (.ps) du, .o

    ,c ra b,o,i LATEX. (Version:

    8.15 Size: 9.26 MB)Ghostview Chu,o,ng trnh xem t .p postscript (.ps) t .ao ra b,o,i LATEX. (Version: 4.80 Size:

    1.42 MB)

    Nhn chu .t vao tn dn trang web. B .an co th,tm phin b

    ,an mo,i trn web. T

    ,ai v va n .ap

    theo thu, t .u,: MikTeX, Ghostscript, Ghostview, Acrobat Reader cui cung TeXnicCenter.

    Vo,i LINUX, teTeX m .ac d.inh da du,.o,c n .ap. B .an co th, ch .on bt cu, h . so .an th ,ao nao so .an

    .tex . ,n .ap trn cac h . diu hanh khac ngoai LINUX, UNIX ho .ac Windows, hay xem

    CTAN.

    http://www.miktex.org/http://www.toolscenter.org/http://nhdien.wordpress.com/http://www.adobe.org/http://www.cs.wisc.edu/~ghost/http://www.cs.wisc.edu/~ghost/http://www.ctan.org/http://www.ctan.org/http://www.cs.wisc.edu/~ghost/http://www.cs.wisc.edu/~ghost/http://www.adobe.org/http://nhdien.wordpress.com/http://www.toolscenter.org/http://www.miktex.org/
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    Kt thuc

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    thng bao li

    Nhu,ng tai li.u nn d.occam o,n

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 62 / 65

    thng bao li

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    thng bao l i

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    thng bao li

    Nhu,ng tai li.u nn d.occam o,n

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 63 / 65

    Thng bao li c ,ua LATEX co ba lo .ai:

    error(s) y la li quan tr .ong nht. No co ngha la sai nghim tr .ong,o, du do.

    nu co du * sau do, ngha la LATEX cn thm du vao. Hu nhu, li du, .o

    ,c

    sinh ra do (i) l .nh vit sai (ii) thiu m .t ngo .ac nh .on (iii) co m .t ky t .u

    ,

    d .acbi .t (iv) dung ky t .u, ho .ac ky hi .u doi h

    ,oi mi tru,o,ng toan (v) qun chu,a du,agoi l .nh vao du t .p. Ki

    ,m tra tai li .u l .ai cn th .n

    warning(s) y la lo .ai b .c hai va li khng t .u, nhin l am. No thu,o,ng keo theo

    LATE

    X khng th,s

    ,u, ly tai li .u dung d an va doi h

    ,oi ch .ay l .ai nhiu ln

    bad box(es) y la li thp nht. No keo theo LATEX khng hay vo,i tai li .u nay.LATEX da xac d.inh u

    ,u tin vo,i s ap chu, do .an va van b,an. M .oi kh

    ,a nang vu, .o

    ,tdiu u,u tin sinh ra li.

    Nhu,ng tai liu nn doc

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    Nh ung tai li .u nn d .oc

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    thng bao li

    Nhu,ng tai li.u nn d.occam o,n

    c Rohit Vishal Kumar Nguyn Hu,u i,n http://nhdien.wordpress.com/ ([email protected]) 64 / 65

    1. A Gentle Introduction to TEX , A manual for self study , Michael Dobb2. LATEX for Word Processor Users , Guido Gonzato3. The not So Short Introduction to LATEX 2 , Or LATEX 2 in 129 minutes, Tobias

    Oetiker

    4. An Essential Guide to LATEX 2 usage, Obsolete Commands and Packages,Mark Trettin. (Translated into English by Jurgen Fenn)

    5. References for TEX and friends, Peter Karp and Michael Wiedmann6. The UK TEX FAQ, Your 407 questions answered, UK TUG

    7. LATEX user guide and reference manual, Leslie Lamport, Pearson EducationAsia, First Indian Reprint, 20008. Nguyn Hu,u i

    ,n, LaTeX vo,i goi l .nh va phn mm cng c .u, NXBHQG

    HN, 20049. Nguyn Hu,u i

    ,n, Nguyn Minh Tun, LaTeX tra cu,u va so .an th

    ,ao,

    NXBHQG HN, 200010. Nguyn Hu,u i

    ,n, Cac tai li .u

    ,o, trang Web

    http://nhdien.wordpress.com

    Ngoai di`u trn ti khuyn cac b .an dang ky thanh vin nhom s

    ,

    u

    ,

    d .ung TEX d.iaphu,o,ng (TUG) d, nhanh chong cu tr ,a lo,i truy vn

    cam o,n

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    cam on

    M.uc l.uc

    Ch,u d gio,i thi.u

    Gio,i thi.u LATEX

    Ma ngun du tin c,ua LATEX

    Cu truc tai li.u LATEXM.t s mi tru,o,ng

    Nhu,ng mi tru,o,ng phu,c t.ap

    Mi tru,o,ng d.ng

    Th.u,c hi.n vo,i Toan h.oc

    Lam vi.c vo,i BIBTEX

    Cac vn d khac

    Cai d.at LATEX

    Kt thuc

    thng bao li

    Nhu,ng tai li.u nn d.occam o,n

    Ti rt h .anh phuc tip nh .n bt ky nh .n xet v MFwL Version 2. Bnh lu .n, Phbnh, Bin d

    ,i va lo,i khuyn. Hay g

    ,u,i y kin to,i

    [email protected].

    Cam o,n rt nhiu v quan tm dn LATEX.

    Happy TEX ing

    CAM O,N