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pf(〈exp⟩,〈var⟩)
transforms the expression 〈exp⟩ into a list of partial fractions
with respect to the main variable, 〈var⟩. pf
does a complete partial fraction
decomposition, and as the algorithms used are fairly unsophisticated (factorization and
the extended Euclidean algorithm), the code may be unacceptably slow in complicated
cases.
Example: Given 2/((x+1)^2*(x+2))
in the workspace, pf(ws,x);
gives the
result
2 - 2 2 {-------,-------,--------------} . x + 2 x + 1 2 x + 2*x + 1
If you want the denominators in factored form, set the switch exp
to off. Thus, with
2/((x+1)^2*(x+2))
in the workspace, the input off exp; pf(ws,x);
gives
the result
2 - 2 2 {-------,-------,----------} . x + 2 x + 1 2 (x + 1)
To recombine the terms, for each
… sum
can be used. So with the above list in the
workspace, for each j in ws sum j;
returns the result
2 ------------------ 2 (x + 2)*(x + 1)
Alternatively, one can use the operations on lists to extract any desired term.
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