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Example 1

  • A simple example

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

Example 2

Matrices and column vectors are simple to type

` [[a , b ],[c, d]]((n),(k)) `

Example 3

Grouping brackets don't have to match

` (a,b]={x in RR | a < x <= b} `

Example 4

piecewise defined function are based on matrix notation

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

Example 5

Complex subscripts are bracketed, displayed under lim

` d/dxf(x)=lim_(h->0)(f(x+h)-f(x))/h `

Example 6

  • A multi-lines formula

` int (x+1)(e^(x//2) - 1) dx = (x+1)(2e^(x//2) - 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^(x//2) + x^2/2 + C `

` \ \ \ \ = 2e^(x//2)(x-1)-x-x^2/2 + C `

Example 7

  • Prescripts simulated by subsuperscripts

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

  • Symbols can be stacked

` stackrel"def"= or \stackrel{\Delta}{=}" "("or ":=) `

  • Accents can be used on any expression

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