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Queries and Issues from Session 1
                  Some Special Characters
Some Math Symbols and Commands (Cont.)
               The multicols Environment
               Tables, Matrices and Cases




                           A
                     Basic LTEX Typesetting
      A Hands-On Seminar for Math Training Elective


                                Kiel F. Granada

               Philippine Science High School  Main Campus


                                   Session 2
                                  July 24, 2010



                               KFGranada           A
                                             Basic L TEX Typesetting
Queries and Issues from Session 1
                                                    landscape and lettersize Options
                         Some Special Characters
                                                    List Tweaks
       Some Math Symbols and Commands (Cont.)
                                                    The color Package
                      The multicols Environment
                                                    pagestyle{empty} Issue
                      Tables, Matrices and Cases


Correction



  $x = 1                                          :)
  y = 4                                           does NOT work.
  z = 3$
  Math environment should be declared for each line, i.e.
  $x = 1$ 
  $y = 4$ 
  $z = 3$




                                      KFGranada           A
                                                    Basic L TEX Typesetting
Queries and Issues from Session 1
                                                   landscape and lettersize Options
                       Some Special Characters
                                                   List Tweaks
     Some Math Symbols and Commands (Cont.)
                                                   The color Package
                    The multicols Environment
                                                   pagestyle{empty} Issue
                    Tables, Matrices and Cases


landscape and lettersize Options


     Con鍖gure TEXMAKER. Find under Options.
     In the dvips command, between 揃 揃 揃 /dvips and %.dvi, type:
     -t landscape -Ppdf                           or
     -t letter -Ppdf                        or
     -t landscape -t letter -Ppdf
     Compile to PDF by pressing F2  F4  F8 .
     Wait for each process to 鍖nish before starting the next one.
     View PDF by pressing F7 .



                                    KFGranada            A
                                                   Basic L TEX Typesetting
Queries and Issues from Session 1
                                                      landscape and lettersize Options
                           Some Special Characters
                                                      List Tweaks
         Some Math Symbols and Commands (Cont.)
                                                      The color Package
                        The multicols Environment
                                                      pagestyle{empty} Issue
                        Tables, Matrices and Cases


List Tweaks
The paralist Package


         In the preamble, add:
          usepackage { p a r a l i s t }
          s e t d e f a u l t e n u m {A} { 1 ) } { ( a ) } { i ) }

         This declares a new environment compactenum with
         customizable structure.
         New environments declaration:
          b e g i n { compactenum }
          item F i r s t
          i t e m Second
          end { compactenum }

                                        KFGranada           A
                                                      Basic L TEX Typesetting
Queries and Issues from Session 1
                                                      landscape and lettersize Options
                           Some Special Characters
                                                      List Tweaks
         Some Math Symbols and Commands (Cont.)
                                                      The color Package
                        The multicols Environment
                                                      pagestyle{empty} Issue
                        Tables, Matrices and Cases


The color Package




   usepackage { c o l o r }

   d e f i n e c o l o r { d a r k b l u e }{ r g b } { 0 , 0 . 0 8 , 0 . 4 5 }
   color { darkblue }




                                        KFGranada           A
                                                      Basic L TEX Typesetting
Queries and Issues from Session 1
                                                     landscape and lettersize Options
                          Some Special Characters
                                                     List Tweaks
        Some Math Symbols and Commands (Cont.)
                                                     The color Package
                       The multicols Environment
                                                     pagestyle{empty} Issue
                       Tables, Matrices and Cases


pagestyle{empty} Issue




   usepackage { f u l l p a g e }

   p a g e s t y l e { empty }




                                       KFGranada           A
                                                     Basic L TEX Typesetting
Queries and Issues from Session 1
                        Some Special Characters
      Some Math Symbols and Commands (Cont.)
                     The multicols Environment
                     Tables, Matrices and Cases


Some Special Characters


        to distinguish commands from text
      { }  to enclose command arguments/options
      &  to set alignments
      %  to insert comments
      $ $  to delineate math environments
      #  to de鍖ne use of arguments

  $ b a c k s l a s h $
  { } & %  $ #



                                     KFGranada           A
                                                   Basic L TEX Typesetting
Queries and Issues from Session 1   More Algebraic Functions
                          Some Special Characters    Geometry Notations
        Some Math Symbols and Commands (Cont.)       Trigonometric Functions
                       The multicols Environment     Limits and Integrals
                       Tables, Matrices and Cases    Sums and Products


More Algebraic Functions

                                                              n
        x
                                                              d
                                                              n
        x                                                     d
                                                              n
       |x|                                                    k

  $ l f l o o r x  r f l o o r $
  $ l c e i l x  r c e i l $
  $|x|$
  $ l e f t (  d f r a c {n }{ d } r i g h t ) $
  $ l e f t { d f r a c {n }{ d } r i g h t } $
  $ d i s p l a y s t y l e {n  c h o o s e k } $

                                       KFGranada           A
                                                     Basic L TEX Typesetting
Queries and Issues from Session 1   More Algebraic Functions
                           Some Special Characters    Geometry Notations
         Some Math Symbols and Commands (Cont.)       Trigonometric Functions
                        The multicols Environment     Limits and Integrals
                        Tables, Matrices and Cases    Sums and Products


Geometry Notations

                                                                                 
  $ o v e r l e f t r i g h t a r r o w {AB} $                                  AB
  $ o v e r r i g h t a r r o w {AB} $                                          
                                                                                 AB
  $ o v e r l i n e {AB} $
                                                                                 AB

  newcommand{ L i n e }{ o v e r l e f t r i g h t a r r o w }
  newcommand{ Ray }{ o v e r r i g h t a r r o w }
  newcommand{ Segment }{ o v e r l i n e }

                                                                                    
  $ L i n e {AB}  p e r p  Ray {AB} $                                         AB  AB
  $ Segment {AB}  p a r a l l e l  Segment {BC} $
                                                                                 AB   BC


                                        KFGranada           A
                                                      Basic L TEX Typesetting
Queries and Issues from Session 1   More Algebraic Functions
                          Some Special Characters    Geometry Notations
        Some Math Symbols and Commands (Cont.)       Trigonometric Functions
                       The multicols Environment     Limits and Integrals
                       Tables, Matrices and Cases    Sums and Products


Geometry Notations


  $ a n g l e ABC$                                        ABC
  $ t r i a n g l e ABC$                                      ABC
  $ cong$                                                 
                                                           =
  $ sim$
                                                           



   usepackage { arcs }                                    MN

  $ o v e r a r c {MN} $



                                       KFGranada           A
                                                     Basic L TEX Typesetting
Queries and Issues from Session 1   More Algebraic Functions
                          Some Special Characters    Geometry Notations
        Some Math Symbols and Commands (Cont.)       Trigonometric Functions
                       The multicols Environment     Limits and Integrals
                       Tables, Matrices and Cases    Sums and Products


Greek Letters



  $ a l p h a $
  $ b e t a $                                       $ Delta$
  $gamma$
                                                     $ e p s i l o n $
  $ p i $


  留硫粒                                                
  




                                       KFGranada           A
                                                     Basic L TEX Typesetting
Queries and Issues from Session 1   More Algebraic Functions
                          Some Special Characters    Geometry Notations
        Some Math Symbols and Commands (Cont.)       Trigonometric Functions
                       The multicols Environment     Limits and Integrals
                       Tables, Matrices and Cases    Sums and Products


Trigonometric Functions



  $ s i n  t h e t a $                                   sin 慮
  $ c o s 30{ c i r c }$                                cos 30
  $ t a n (  a l p h a +  b e t a ) $
                                                           tan(留 + 硫)



  newcommand{Deg }{{ c i r c }}

  $ c o s 30 Deg$




                                       KFGranada           A
                                                     Basic L TEX Typesetting
Queries and Issues from Session 1      More Algebraic Functions
                          Some Special Characters       Geometry Notations
        Some Math Symbols and Commands (Cont.)          Trigonometric Functions
                       The multicols Environment        Limits and Integrals
                       Tables, Matrices and Cases       Sums and Products


Limits and Integrals

  $ l i m { x  t o 1} f ( x ) $
  $$  l i m { x  t o 1} f ( x ) $$
  $ d i s p l a y s t y l e  l i m { x  t o 1} f ( x ) $
  $ i n t 1 3 g ( x )  d i s p l a y s t y l e  i n t 1 3 g ( x ) $

       limx1 f (x)

                                                     lim f (x)
                                                 x1


        lim f (x)
       x1
                          3
          3
         1 g (x)              g (x)
                      1

                                       KFGranada              A
                                                        Basic L TEX Typesetting
Queries and Issues from Session 1   More Algebraic Functions
                          Some Special Characters    Geometry Notations
        Some Math Symbols and Commands (Cont.)       Trigonometric Functions
                       The multicols Environment     Limits and Integrals
                       Tables, Matrices and Cases    Sums and Products


Sums and Products



  $ sum { i =1}{n} i 2 $
  $n ! =  p r o d { i =1}{n} i $
  $ d i s p l a y s t y l e  sum { i =1}{n}  l e q  p r o d { i =1}{n} $

          n     2
          i=1 i
       n! = n i  i=1
             n           n
       i=1          i=1




                                       KFGranada           A
                                                     Basic L TEX Typesetting
Queries and Issues from Session 1
                          Some Special Characters
        Some Math Symbols and Commands (Cont.)
                       The multicols Environment
                       Tables, Matrices and Cases


The multicols Environment

   usepackage { m u l t i c o l }

   b e g i n { m u l t i c o l s }{ number o f c o l u m n s }

  column 1 c o n t e n t s

   columnbreak

  column 2 c o n t e n t s

   end { m u l t i c o l s }


                                       KFGranada           A
                                                     Basic L TEX Typesetting
Queries and Issues from Session 1
                           Some Special Characters    Tables
         Some Math Symbols and Commands (Cont.)       Matrices
                        The multicols Environment     Cases
                        Tables, Matrices and Cases


Tables


   b e g i n { t a b u l a r }{ l c r }              left       center         right
  l e f t & c e n t e r & r i g h t                 l            c                r
  l & c & r
   end { t a b u l a r }

   begin { tabular }{| l | c | r |}                  left       center         right
  hline                                              l            c                r
  l e f t & c e n t e r & r i g h t 
  hline
  l & c & r
   end { t a b u l a r }



                                        KFGranada           A
                                                      Basic L TEX Typesetting
Queries and Issues from Session 1
                         Some Special Characters    Tables
       Some Math Symbols and Commands (Cont.)       Matrices
                      The multicols Environment     Cases
                      Tables, Matrices and Cases


Matrices

   Environment            Braces                    $ b eg in { bmatrix }
   matrix                  None                     a {11} &  c d o t s & a {1 n} 
   pmatrix                  ()                       v d o t s &  c d o t s &  v d o t s 
   bmatrix                  []                      a {m1} &  c d o t s & a {mn}
                                                     end { b m a t r i x }$
   Bmatrix                  {}
                            ||
                                                    錚                       錚
   vmatrix                                           a11       揃揃揃      a1n
   Vmatrix                                          錚 .                  . 錚
                                                    錚 .
                                                      .        揃揃揃       . 錚
                                                                         .
                                                     am1       揃揃揃      amn

  Note:
  The matrix environments need to be enclosed by $ $.

                                      KFGranada           A
                                                    Basic L TEX Typesetting
Queries and Issues from Session 1
                          Some Special Characters    Tables
        Some Math Symbols and Commands (Cont.)       Matrices
                       The multicols Environment     Cases
                       Tables, Matrices and Cases


Cases


                                                             錚
  $ s gn ( x ) =                                             錚1
                                                             錚                 x >0
   begin { cases }                                  sgn(x) = 0                x =0
  1 & x > 0                                                錚
                                                              1               x <0
                                                             錚
  0 & x = 0
  1 & x < 0
   end { c a s e s } $

  Note:
  The cases environment also need to be enclosed by $ $.



                                       KFGranada           A
                                                     Basic L TEX Typesetting

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