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Re: Evaluation of 1/(1/a + 1/b + 1/r)

  • To: mathgroup at
  • Subject: [mg70166] Re: [mg70129] Evaluation of 1/(1/a + 1/b + 1/r)
  • From: Sseziwa Mukasa <mukasa at>
  • Date: Fri, 6 Oct 2006 01:58:24 -0400 (EDT)
  • References: <>

On Oct 5, 2006, at 3:32 AM, Diana wrote:

> Folks,
> I am trying to write a program to evaluate the sum of two continued
> fractions, written in polynomials of T.
> I would like a short routine to evaluate 1/(1/a + 1/b + 1/r), just
> working with a, b, and r if they are not equal to zero.
> So, if a = 0, then evaluate 1/(1/b + 1/r)
> If a, b, = 0, then evaluate 1/r
> If all of a, b, r = 0, give me 0 as output.
> If (1/a + 1/b + 1/r) = 0, give me 0 as output.
> Assume that a, b, r are arbitrary polynomials in T.
> Can someone help?

You can use pattern matching





As the number of patterns increases the typing can get tedious, you  
can write an expression to generate these expressions automatically  
but I don't see how 1/(1/a + 1/b + 1/r) -> 1/(1/b + 1/r) when a is  
zero or 1/r when a and b are zero.  If you know of an expression that  
can generate that sequence you can use it to save some typing.



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