Talk:Partial fraction
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[edit] Z-domain
This page needs some talk of PFD of transfer functions in the z-domain—they're hard. jScott 00:01, 2005 Mar 18 (UTC)
I don't know about partial fraction decompositions of, specifically, transfer functions, but I agree that the article in its present form is missing a lot of the standard material. Michael Hardy 01:46, 18 Mar 2005 (UTC)
- I know my edits today have left the article a bit oddly organized, but I'll be back with much more later. Michael Hardy 19:37, 14 Apr 2005 (UTC)
[edit] Ahmad Hamidi seorang yang pandai.
This doesn't sound like it belongs in this article. I'm not sure what it means, but if it does belong in the article please put it back in. I'm going to delete it until someone says otherwise.-The Lab Rat
- You're right; the previous editor put in some fanciful stuff and then fixed all of it except that. Michael Hardy 23:49, 18 May 2005 (UTC)
- That is Malay, which means 'Ahmad Hamidi is a smart person'. :) -x42bn6 07:45, 1 September 2005 (UTC)
[edit] shouldn't be merged
The sentence
- This article or section should be merged with partial fraction decomposition over the reals.
isn't this POV ? The fact that people mix up both subjects is not enough. I think it is a good idea to distinguish
- the algebraic view of partial fractions (associated to a given denominator polynomial), and problems of decomposition of an element of R(X) into those (for different types of rings R)
- the analysis point of view, over the reals (and, not to forget, over the complex numbers, useful also for the real case), with methods for this, including limits, derivatives, changes of variables,...
There is enough to be said about both subject to justify two separate pages, of course with tight links especially in the first sections of both pages. — MFH: Talk 18:28, 26 May 2005 (UTC)
There should be some instruction on how to handle partial fraction decomposition over Z.
[edit] Don't agree with the merging
The two topics are not the same thing, merging would be ideal but i've left an internal link to the decomposition topic instead since this seems quite neat. since it's been up for months and nobody seems to have agreed with the merging i'm removing the suggestion, feel free to revert (giving reasons) however
[edit] General procedures
This page should have less example, and more general explanation. Each type of Partial fraction expansion should have its own algorithem given, and an example later - i.e. we shouldn't use examples to explain the algorithem - examples go after explanation to support it - not to replace it. Fresheneesz 19:47, 21 April 2006 (UTC)
[edit] irreducible???
Why must the denominator be irreducible, it looks to me as if most of the examples use the fact that the denominator is reducible to go on with the partial fraction expansion. What gives? Fresheneesz 20:39, 21 April 2006 (UTC)
-
- Oh - its saying that the result of the PFE leaves an irrucible denominator. However, I don't think this is true either.
- Under the header An irreducible quadratic factor in the denominator, it shows such an example. Another example is the expansion of (5s^3 - 3 s^2 + 2s - 1) / (S^4 + s^2). Fresheneesz 20:47, 21 April 2006 (UTC)
- Nevermind - I get it finally... I'll fix up the page to make it more clear what it means. Fresheneesz 20:51, 21 April 2006 (UTC)
[edit] must have irreducible polynom in denom???
Does a partial fraction expansion have to have a power of an irreducible polynomial in the denominator? If I had started this article, I would have said that "partial fraction expansion" is the act of changing a fraction A(x)/B(x) into the sum of multiple fractions. Is this general definition not correct? Fresheneesz 21:01, 21 April 2006 (UTC)
[edit] the new "simple example"
Don't you think that the newly-added "simple example" is kinda dumb? I mean, you can simply turn (x) to (x+a-a), and then (x+a)/(x+a) -a/(x+a) = 1-a/(x+1). There's no reason to mess around with partial fraction decomposition here....
