convert 

convert an expression to a different form. 

   
Calling Sequence 

Parameters 

Description 

Examples 
 

 
Calling Sequence 
 
convert(expr, form, arg3) 
  


Parameters 

expr - any expression 
form - name 
arg3 - (optional) other arguments 
 

 
Description 
 
•   The convert function is used to convert an expression from one form to another.  Some of the conversions are data-type conversions, for example.  Others are form or function conversions, for example convert(sinh(x),exp)  yields  exp(x)/2-exp(-x)/2 and convert(a*x!, gamma) yields a*gamma(x+1). 
 
•   For function conversions, a set of optional arguments to perform the conversion in different manners are described in convert/to_special_function. 

•   The types of known conversions are (the second argument form must be one of these): 
 
 
abs 
 

arctrig 
 
arctrigh 
 

base 
 
Bessel 
 

binary 
 
binomial 
 
boolean_function 
 
boolean_operator 
 
bytes 
 

D 
 

decimal 
 
degrees 
 
diff 
 
Ei 
 
elementary 
 
equality 

erf 
  
erfc 
 
exp 
 
expln 
 
expsincos 
 
factorial 
 
float 
 

fullparfrac 
 
function_rules 

gamma 

int 
 
Int 

ln 

local 

parfrac 
 
piecewise 
 
polar 

polynom 
 
power 
  
radians 
 
radical 
 
rational 
 
sign 
 
sqrfree 
 
string 
 
sum 
 
Sum 

tan 
 
temperature 
 
to_special_function 
 
trig 

trigh 
 
truefalse 

units 
 
vector 


•   Further information is available under help pages convert/form where form is one of the forms from the above list. 

•   A user can make custom conversions known to the convert function by defining a Maple procedure in the following way.  If the procedure `convert/f` is defined, then the function call convert(a, f, x, y, ...) will invoke `convert/f`(a, x, y, ...); Note that the procedure may be indexed.
 
 
Examples 
 
Convert can be used to convert numbers between bases.  See the help pages convert/decimal, convert/base, convert/binary, convert/octal, and convert/hex for more information and examples. 
 >   convert(9,binary) 
1001 
 (1) 

Convert between degrees and radians.  See the help pages convert/degrees and convert/radians for more information. 
 >   convert(p,degrees) 
180degrees 
 (2) 

Convert to rational expressions or floating-point numbers. See the help pages convert/float and convert/rational for more information. 
 >   convert(1.23456,rational) 
38583125 
 (3) 


 >   convert(18,float) 
0.125 
 (4) 

Convert between units. See the help page convert/units for more information.  Also, see the Units package. 
 >   convert(22,units,inches,m) 
13972500 
 (5) 


Convert a rational expression to partial fraction form. See the help page convert/parfrac for more information. 
 >   f:=(x^3+x)/(x^2-1) 
 f:=(x^3+x)/(x^2-1)
 (11) 

 >   convert(f,parfrac) 
x+1/(x-1)+1/(x+1)
 (12) 

Convert a series to a polynomial by dropping the order term. See the help page convert/polynom for more information. 
 >   s:=series(f,x,4) 
s:=-x-2x^3+O(x^5) 
 (13) 


 >   convert(s,polynom) 
-2x^3-x 
 (14) 

Convert a complex expression to polar coordinates. See the help page convert/polar for more information. 
 >   convert(12+2i,polar) 
polar(1/2*sqrt(2),1/4 pi) 
 (15) 

Convert an expression to trigonometric or exponential form, if possible. See the help pages convert/exp and convert/trig for more information. 
 >   g:=sinh(x)+sin(x)  
g:=sinh(x)+sin(x) 
 (16) 


 >   convert(g,exp) 
 1/2e^x-1/2e^(-x)-1/2I(e^(I*x)-e^(-I*x)) 
 (17) 

Check the list above for all known types of conversions for more possibilities. Conversions to more advanced mathematical functions are shown below.