(:table border=1 cellpadding=5 cellspacing=0 align=center:)
(:cellnr align=center:)'''Type this'''
(:cell align=center width=50%:)'''See that'''
(:cell align=center:)'''Comment'''
(:cellnr:)
 [=x^2+y_1+z_12^34=]
(:cell:){$ %height=60px% x^2+y_1+z_12^34 $}
(:cell:)subscripts as in `TeX, but numbers are treated as a unit
(:cellnr:)
 [=sin^-1(x)=]
(:cell:){$ %height=60px% sin^-1(x)$}
(:cell:)function names are treated as constants
(:cellnr:)
 [=d/(dx)f(x)
 =lim_(h->0)(f(x+h)-f(x))/h=]
(:cell:){$ %height=80px% d/(dx)f(x)=lim_(h->0)(f(x+h)-f(x))/h$}
(:cell:)complex subscripts are bracketed, displayed under lim
(:cellnr:)
 [=f(x)=sum_(n=0)^oo
 (f^((n))(a))/(n!)
 (x-a)^n=]
(:cell:){$ %height=80px% f(x)=sum_(n=0)^oo(f^((n))(a))/(n!)(x-a)^n$}
(:cell:)[@f^((n))(a)@] must be bracketed, else the numerator is only @@a@@
(:cellnr:)
 [=int_0^1f(x)dx=]
(:cell:){$ %height=80px% int_0^1f(x)dx$}
(:cell:)subscripts must come before superscripts
(:cellnr:)
 [=[[a,b],[c,d]]((n),(k))=]
(:cell:){$ %height=80px% [[a,b],[c,d]]((n),(k))$}
(:cell:)matrices and column vectors are simple to type
(:cellnr:)
 [=x/x={(1,if x!=0),
 (text{undefined},if x=0):}=]
(:cell:){$ %height=80px% x/x={(1,if x!=0),(text{undefined},if x=0):}$}
(:cell:)piecewise defined function are based on matrix notation
(:cellnr:)
 [=a//b=]
(:cell:){$ %height=50px% a//b$}
(:cell:)use // for inline fractions
(:cellnr:)
 [=(a/b)/(c/d)=]
(:cell:){$ %height=90px% (a/b)/(c/d)$}
(:cell:)with brackets, multiple fraction work as expected
(:cellnr:)
 [=((a*b))/c=]
(:cell:){$ %height=70px% ((a*b))/c$}
(:cell:)only one level of brackets is removed; * gives standard product
(:cellnr:)
 [=sqrtsqrtroot3x=]
(:cell:){$ %height=70px% sqrtsqrtroot3x$}
(:cell:)spaces are optional, only serve to split strings that should not match
(:cellnr:)
 [=(:a,b:) and {:(x,y),(u,v):}=]
(:cell:){$ %height=80px% (:a,b:) and {:(x,y),(u,v):}$}
(:cell:)angle brackets and invisible brackets
(:cellnr:)
 [=(a,b]={x in RR :
 a < x <= b}=]
(:cell:){$ %height=50px% (a,b]={x in RR : a < x <= b}$}
(:cell:)grouping brackets don't have to match
(:cellnr:)
 [=hat(ab) bar(xy) ulA
 vec v dotx ddot y=]
(:cell:){$ %height=50px% hat(ab) bar(xy) ulA vec v dotx ddot y$}
(:cell:)accents can be used on any expression
(:cellnr:)
 [={::}_(\ 92)^238U=]
(:cell:){$ %height=70px% {::}_(\ 92)^238U$}
(:cell:)prescripts simulated by subsuperscripts
(:cellnr:)
 [={(S_(11),...,S_(1n)),
  (vdots,ddots,vdots),
  (S_(m1),...,S_(mn))]=]
(:cell:){$ %height=110px% {(S_(11),...,S_(1n)),(vdots,ddots,vdots),(S_(m1),...,S_(mn))]$}
(:cell:)each row must have the same number of expressions, and there should be at least two rows
(:tableend:)