LATEX Tips - eDisk

L A TEX TipsProf. Ressler9 Proof casesYou should use L A TEX’s list environment itemize to organize a proof that usescases. The itemize environment normally produces bulleted lists, as in• First item.• Second item.When you do a proof by cases, you should replace the bullets with case numbers.The source code\begin{itemize}\item[Case 1:] First case.\item[Case 2:] Second case.\end{itemize}will produceCase 1: First case.Case 2: Second case.10 DelimitersDelimiters are symbols that group mathematical expressions in equations. Theones we use most frequently are parentheses ( ), braces { } brackets [ ], andabsolute value bars | |.It can look silly to enclose a big expression with small delimiters, as in theequation2xA(|z| 2 + 1 ) + B( 2y|z| 2 + 1 ) + − 1C(|z|2 |z| 2 ) + D = 0. (2)+ 1You can fix this by typing the commands \left and \right immediately infront of the left and right delimiters, respectively. Doing that to equation (2)produces( ) ( )2x2yA|z| 2 + B+ 1 |z| 2 + C+ 1( |z| 2 )− 1|z| 2 + D = 0.+ 1You must pair the commands \left and \right or L A TEX will complain. Ifyou want to use a single delimiter-like symbol you can do it by using . (period)as an empty delimiter symbol. For example, you can produce∫ π0sin nxdx =− cos nxnL A TEX uses braces for lots of commands, so if you want to typeset braces youmust type \{ and \}.∣π0.5