• A simple example

$$ f(x)=sum_(n=0)^oo(f^ (n) (a) ) / (n!)( x-a )^n $$

• Matrices and column vectors are simple to type

$$ [ [a,b], [c,d] ] * ( (n) , (k) ) $$

• Grouping brackets don't have to match

$$ (a,b]={x in RR | a < x ⇐ b} $$

• Piecewise defined function are based on matrix notation

$$ x/x={(1,if x!=0),(text{undefined},if x=0):} $$

• Complex subscripts are bracketed, displayed under lim

$$ d/dxf(x)=lim_(h→0)(f(x+h)-f(x))/h $$

• A multi-lines formula

$$int (x+1)(e^(x/2) - 1) dx = (x+1)(2e^(x2) - x)- int (2e^(x/2)-x) dx$$
$$=(x+1)(2e^(x/2) - x) - (4e^(x/2) - x^2/2) + C$$
$$= 2xe^(x/2) -x^2 + 2e^(x/2) -x - 4e^(x2) + x^2/2 + C$$
$$= 2e^(x/2)(x-1)-x-x^2/2 + C$$

• Prescripts simulated by subsuperscripts

$$ {::}_(\ 92)^238U $$

• Symbols can be stacked

$$stackrel {def} {=} or \stackrel{\Delta}{=} or \stackrel {a}{=}$$

• Accents can be used on any expression

$$hat(ab) bar(xy) ulA vec v dotx ddot y$$