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404 Functions and commands
order_size Returns the remainder (O term) of a series expansion:
limit(x^a*order_size(x),x=0)=0 if a>0.
order_size(Expr)
pa2b2 Takes a prime integer n congruent to 1 modulo 4 and returns
[a,b] such that a^2+b^2=n.
pa2b2(Integer)
Example:
pa2b2(17) gives [4 1]
pade Returns the Pade approximation of an expression, i.e. a
rational fraction P/Q such that P/Q=Expr mod x^(n+1) or
mod N with degree(P)<p.
pade(Expr, Var, Integern, Integerp)
Example:
pade(exp(x), x, 5, 3) returns
PI Inserts .
PIECEWISE Used to define a piecewise-defined function. Takes as
arguments pairs consisting of a condition and an expression.
Each of these pairs defines a sub-function of the piecewise
function and the domain over which it is active.
PIECEWISE
Example:
PIECEWISE
Note that the syntax varies if the Entry setting is not set to
Textbook:
PIECEWISE(Case1, Test1, ...[ Casen, Testn])
plotinequation
Shows the graph of the solution of inequations with 2
variables.
plotinequation(Expr,[x=xrange,y=yrange],[xste
p],[ystep])
3– x
2
24 x– 60–
x
3
9 x
2
36 x 60–+–
-------------------------------------------------------------
Case1 if Test1
Case2 if Test2
...
x– if x 0
x
2
if x 0