User talk:Abcxyz

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 * --Your friendly ProofWiki WelcomeBot 18:10, 2 March 2012 (EST)

Amending existing pages
What I've seen you've done is taken existing pages and rewritten them. In particular you have expanded the context of a lot of pages so as to include the complex case. While this in itself is no bad thing, I have concerns about how (in particular) the Definition:Radius of Convergence page has been completely changed.

The philosophy of this site is to include definitions for all the various contexts into which they are encountered. So we would include this definition for both real and complex numbers - and the same applies to all the other definitions that you have amended to make more general.

I admit that complex analysis has not been addressed properly yet - that is purely due to me (or anyone else) not having got round to plugging away at putting the foundations in place. As you will have noticed, another philosophy of this site is to ensure that the foundations of a subject are put in place as rigorously as possible first.

In short, please don't change the context of existing pages (in this particular case from the real to the complex domain), instead add a separate definition for the extended definition. Otherwise people coming to this site to use it as a resource who don't understand complex numbers will not be served well.

I will go through and see if I can sort out what you've already done (I hate to use rollback indiscriminately, so I'll see if I can find the time to invest to sort it out properly), but in the meantime please bear in mind what I put here. --prime mover 01:17, 7 March 2012 (EST)

links
Please do not include the underscores in links on pages. That is, not like this:
 * Derivative_of_Complex_Power_Series/Proof_2

Like this:
 * Derivative of Complex Power Series/Proof 2

Otherwise maintenance becomes a nightmare. --prime mover 01:28, 8 March 2012 (EST)

Minor point
I see you are going through the foundations of complex analysis. There is one tiny issue that you might have glanced over:

In house style, we have brackets inside left/right delimiters in TeX, like this:

$\left({parentheses}\right)$

instead of

$\left( parentheses \right)$

They help to distinguish the left and rights, and are effectively enforcing the bracket matching (because TeX needs to close every opening brace to work). Otherwise, keep going! --Lord_Farin 11:07, 9 March 2012 (EST)


 * Concerning Combination Theorem for Continuous Functions/Sum Rule, you were restricting the result statement. Also see the Talk page I just started. --Lord_Farin 12:41, 9 March 2012 (EST)

More comments on Complex Analysis proofs
You ae still working on extending the scope of some of the Real Analysis proofs to take on Complex numbers, but you are doing this by just changing the $\R$ to a $\C$ (and doing some minor rewording). While I appreciate that some of those proofs themselves are the same for $\C$ as they are for $\R$, we do not want to remove the "real analysis" versions of these proofs. As has been pointed out before, it is important to keep the "real only" proofs because many of those who come to this site have not studied complex analysis.

Besides, this is a repository for proofs, not just results. If there are 16 proofs for a given result, we give them all.

What this means is that the real-analysis version of the proof (and the statement) is equally valid.

Why? you may ask. Because no other site does.

And there's more. Some of the proofs apply to $\Q, \R, \C$ but not to $\Z$ (for however obvious the reasons). If we were to bag everything up and say "It's valid for $\C$, that's all we need to know" we lose the subtlety that the result applies also to $\Q$, and thereby is relevant to Diophantine analysis.

Your input is appreciated, but please bear this in mind. --prime mover 13:45, 9 March 2012 (EST)

Nuggets of information
While it's tempting to drop interesting little nuggets of information into pages with headings like "Remark" or "Note" or "Comment" or such like, the trend on this site has been away from this tendency, preferring instead to back up all such statements with a separate page where such a statement is proved or demonstrated, and providing a link to that page in an "Also see" section.

There is a deliberate decision to ensure that ProofWiki is "not Wikipedia" and as such is not intended to be used as an encyclopedia. A definition page is just a definition page. A proof page contains just a proof. The only exceptions are historical notes and linguistic notes, both of which are usually poorly served on other resources.

The vital point above is "providing a link". ProofWiki is far more rigorously linked than Wikipedia, for example, and in fact to a certain extent prides itself on what would be referred to as "overlinking" in Wikipedia. It is this which makes ProofWiki unique and vital. As such, categories are also vitally important, and so is careful naming and equally careful crafting of the LaTeX. --prime mover 17:21, 12 March 2012 (EDT)

Transquatilude
I'm not that good at transgomofying pages myself, but take a look at this page for an example of transporation: Equivalence of Exponential Definitions.

You add: and that pulls in the "only included" parts of the pages to be transvorfied.

In the pages to be transwaloted, the part that is only included is included is stuff to be transpoloted< /onlyinclude > --GFauxPas 22:49, 15 March 2012 (EDT)

What are transgomofying, transporation, transqualifying, transwaloting, and transpoloting? Abcxyz 01:10, 16 March 2012 (EDT)


 * The word is, for better or worse, "transclude". GIYF. --prime mover 02:50, 16 March 2012 (EDT)

page name changes
I note that you recently changed some of the page names to replace a standard hyphen with some big arse mofo which you can't render conveniently by typing on a keyboard. Just because this is the way twittipedia does it is no reason for us to go down that same pointless route. I have reverted those changes as they are of no worth at all.

Please note that a style has evolved on this website over the last few years. If you see a certain stylistic commonality to the work on here which you object to, then feel free to raise that subject in the main discussion page, so it can be talked over before going in with a program of changes. --prime mover 02:55, 16 March 2012 (EDT)

Links
Thank you for the links to the reading material; it appears very interesting. Unfortunately, I have other stuff to do. --Lord_Farin 07:17, 12 April 2012 (EDT)

Please don't completely rewrite stuff
I understand what you're trying to do (I think): that is, you got your Gaisi Takeuti, which structures stuff in a way which is different from the way Devlin does it. But rather than completely restructure the whole way the Devlin work has been reported, it is always better to provide second proofs. It's take me longer than I wanted to to work out where the "Ordinals are Totally Ordered" page came from, and it turns out it was ripped from Relation between Unequal Ordinals. Now to my mind the fact that ordinals are totally ordered follows from Relation between Unequal Ordinals - but what we now have is that Ordinals are Totally Ordered --> Ordinal Membership Trichotomy --> Relation between Unequal Ordinals which seems to be going in the wrong order.

When you approach a topic from a different direction, please respect any existing work and include your work as an addition to what's already there, not instead of. Otherwise you may be in danger of your work being reverted, which will be a shame as that means you're wasted your time as well as mine. --prime mover 06:21, 28 June 2012 (UTC)


 * Sorry for anything I have messed up on; I have simply tried to present the proofs in a more concise manner and I never intended to replace existing work with my own. From your note, I guess I might have done it unintentionally and don't always make the best decisions.
 * I'm not sure what you mean by the "wrong order". I just felt that it was more natural to present Relation between Unequal Ordinals as a consequence of Ordinals are Totally Ordered; that way, there wouldn't be the invocation of Ordinal Subset of Ordinal is Segment at both the beginning and the end of the proof. Those pages are linked to by only a few pages anyway. But if you think it is better your way, I won't try to change it to another way. --abcxyz 06:44, 28 June 2012 (UTC)


 * With linking to the appropriate proof subpages of these theorems it is technically (in the true sense of the word) possible to let you both have your ways; this seems to me like a good solution. --Lord_Farin 06:54, 28 June 2012 (UTC)