User talk:Prime.mover/Archive 1

Sup dude
Do you even sleep? you've been going non-stop since you first joined. of course i appreciate the work (I haven't even been able to keep up with reading it all), but you're making the rest of us look lazy. Regardless, excellent work, and with that, I think I will bring a Wikipedia tradition to ProofWiki: Barnstars. See | the wikipdia page on barnstars for more details and other barnstar designs.

Hey, when you create a page, or link to a page, be sure to keep in mind their namespace.

eg: Say you wanted to link to definition of graph, then you would write graph, this will put a link to the Definition namespace. Also, be sure to include the category, at the bottom of the page, just put the category in the category box, eg. Definitions or eg.Axioms. If you are linking to a category, you must put a : in front, for instance Category:Definitions For creating a page you must do the same thing, having the namespace in front.

This is so we can differentiate between proofs and definitions. Thanks,--Joe 18:28, 23 July 2008 (UTC)

Using an external editor
Hey, I just found out and tested that you can use an external editor to edit pages. It works great. I tried so far using GVim using the "It's All Text" plug-in for Firefox. All you have to do is install the plug-in and then tell it where your editor is. Here are the two sites I used to help me set it up. I did this in Linux but I'm sure it'll work fine in Windows! Hope this helps --Joe


 * http://en.wikipedia.org/wiki/Help:External_editors
 * http://en.wikipedia.org/wiki/Wikipedia:Syntax_highlighting#External_editor_feature

Thanx dude - I'll check this out ... --prime.mover 06:20, 11 August 2008 (UTC)

Namespaces
Hey, I'm just thinking, maybe it would be better if we kept the Definition namespace. Since there are a lot of definitions out there, maybe it would be better to keep them separate from all the proofs. In terms of adding them to the proper category, I'm working on a bot that can check and fix this automatically. I'm thinking it's best to try and keep the proofs(which is the main focus of the site) separate from the definitions. I know it might be a pain, but I think it's better then having them mixed in with the namspace for proofs. Mixing them I think causes more problems then it will fix.


 * When you search for a proof, you won't just get proofs, you also get definitons and axioms.
 * It messes up the page count as we talked about earlier
 * It will confuse people, probably won't be sure what is a proof, what is a definition...

I should be able to get a bot working that can automatically check things to make sure definitions are in the correct category, what does everyone think? --Joe 23:50, 16 September 2008 (UTC)

New LaTeX
Hey, Have you tried the new LaTeX stuff? Is it working good? --Joe 22:35, 20 September 2008 (UTC)

Confess I haven't yet. I need to check out the "stackrel" function at least so I can define a symbol for defining entities:

$\mathbf {Define:} \ fred \ \stackrel {\mathbf {def}} {==} \ bert$

Yay! That works! Nice one.

BTW do you know how to include negative spaces so I can weld the edges of two $==$ signs together?

Okay, now I need to check out how to stack equation entities properly so I don't need to use tables. Having said that, when I wrote my thesis using full AmsLaTeX I found that I could not achieve the effects I was after without writing my own package (which included a modification to the table/array facilities) so we'll see what gives.

It's getting late for the night and I'm not good at learning new stuff p.m. I'll try and get it together to check out all the new buttons tomorrow - if not, then next weekend when I have two completely free mornings. --prime.mover 22:47, 20 September 2008 (UTC)

Equations
Hey, I took your idea for using tables to create equation arrays and made it into a usable template. Still may need some tuning though, what do you think?? Check out the sandbox to see it. --Joe 16:53, 19 October 2008 (UTC)

Would certainly speed my throughput. Good job.

Only caveat: sometimes (rarely, see Solution to Quadratic Equation) it needs more columns, e.g. to put a $\implies$ at the front and to be able to put a lined-up row of equals signs in the middle. (This is just one of the flexibilities that standard LaTeX doesn't allow.)

When creating a template, there's always the tradeoff between prodiving ultimate flexibility and keeping it streamlined enough to be usable on these things. But I reckon making it 5 columns, justified: r, r, c, l, l should be enough. How easy would it be to force it to make an extra gap before the end column so the comment doesn't come confusingly close to the equation it describes?

Of course, for really complicated equation sequences we can always fall back on the technique of using a table, if what we're trying to put together will not look good any other way.

As I say, fine work, bro. --prime.mover 17:16, 19 October 2008 (UTC)

Hey, I added a few more modifications, take a look! --Joe 17:25, 19 October 2008 (UTC)

... okay I think I get the gist ... okay, let's try it out. We can always tweak it if we find we need to in the course of events. --prime.mover 17:32, 19 October 2008 (UTC)

Awesome, sounds good. Let me know if you want something added, and I'll see what I can do. --Joe 17:36, 19 October 2008 (UTC)

I just noticed that I have left and right mixed up, for l1,l2,r1,r2 (I was thinking alignment, when I should have been thinking side of equation). I'll fix it now! --Joe 17:40, 19 October 2008 (UTC)

Couple things ... we want the LHS sides to be right justified and the RHS to be left justified, and the centre line to be centre justified, yeah?

I don't know whether we necessarily want the centre to have to be an equals sign. I can envisage that you may want to put a "propositional function" in there, e.g. $P(x) \Longrightarrow Q(x) \land R(x)$ or something, or (here's a good one) when you want it to be a $\le$ or $>$ or $\subseteq$ or something, any general relation. --prime.mover 17:52, 19 October 2008 (UTC)

you can,just use " ${{equation|operator=\leq. --Joe 17:53, 19 October 2008 (UTC)

How about this for ultimate user-friendliness then:

Columns labelled "ll, l, o, r, rr, c, cc" for left-left, left, operator, etc.

Then you don't have to worry about remembering whether you want the 1st or 2nd column and most of your equations will go {{begin-equation}} {{equation |l=$$something$$|r=$$something else$$}} {{equation |ll=$$so$$|l=$$trash$$|o=$$aint$$|r=$$gold$$|c=so what the heck}} {{end-equation}}

I kinda see what you mean but not really, could you give a math example? --Joe 18:09, 19 October 2008 (UTC)

{{begin-equation}} {{equation | l=$$4 a^2 x^2 + 4 a b x + 4 a c$$ | r=$$0$$ | c=(multiplying through by $$4 a$$)}} {{equation | ll=$$\Longrightarrow$$ | l=$$\left({2 a x + b}\right)^2 - b^2 + 4 a c$$ | r=$$0$$ | c=(Completing the square)}} {{equation | ll=$$\Longrightarrow$$ | l=$$\left({2 a x + b}\right)^2$$ | o=$$\le$$ | r=$$b^2 - 4 a c$$}} {{equation | ll=$$\Longrightarrow$$ | l=$$x$$ | r=$$\frac {-b \pm \sqrt {b^2 - 4 a c} }{2a}$$}} {{end-equation}}

which is supposed to look like the one in Solution to Quadratic Equation, except I put a rogue $\le$ in the middle just to indicate what I mean about the operator column.--prime.mover 18:14, 19 October 2008 (UTC)

okay, I think I see what you mean. Should ll and rr be right/left or center/center justified? --Joe 18:20, 19 October 2008 (UTC)

Way I see it: ll and l should be right justified, rr and r should be left justified, same with c and cc, and o should be center.

So everything snuggles up to the center line which then draws the eye to the heart of the equation. All very aesthetic. --prime.mover 18:22, 19 October 2008 (UTC)

okay, what is cc? --Joe 18:23, 19 October 2008 (UTC)

Second column of comments, if needed. --prime.mover 18:25, 19 October 2008 (UTC)

Okay, check it now. --Joe 18:28, 19 October 2008 (UTC)

Way to go. Perfect. I've added a user-template for this design pattern in my user page. No doubt it will evolve ...

Right, back to my semigroups. You are a diamond. --prime.mover 18:31, 19 October 2008 (UTC)$ it crashes. I think it's causing a premature ending of the template. Looking into a fix. --Joe (talk) 19:18, 7 February 2011 (CST)

Find and replace
It is what it says --Joe (talk) 15:37, 8 February 2011 (CST)


 * Innit. --prime mover 15:40, 8 February 2011 (CST)

Hi
I'm not familiar with Hartley and Hawkes, I'm using Grillet - Abstract algebra as a guide. Everything that's down already looks pretty good! I'm quite busy at the moment but I'll think about how to treat polynomials in the near future, I think the work is in keeping in mind a global picture, the results themselves aren't much trouble.

Yeah it's a nice little project - makes a pleasant distraction from all the work I'm supposed to be doing. I've changed a few \and's etc. as I've seen them; I'm new to the wiki-style editing so just shout if I'm doing something out-of-style. --linus44 00:22, 9 February 2011 (CST)

Re:Comments
Thanks, I'll bear those in mind. One quick question: is it possible to number equations and refer back? Or is there a preferred alternative? -- Linus44 22:17, 11 February 2011 (CST)

Pointwise operations
So there is, that's great, it wasn't going to be thrilling to write, thanks! "Induced structure" is a better term anyway. I'll mark the pages not needed for deletion. Also, this site needs a `like' button for what you wrote about "Q.E.D." for ending proofs on the help page. I die a little inside every time I see it. -- Linus44 06:46, 13 February 2011 (CST)

In fact, the definition of induced structure is quite robust so it covers addition (although interestingly not [I think] multiplication) of polynomial forms as well. This should shrink the unwieldy collection of pages I had used to prove that they are a ring. -- Linus44 07:54, 13 February 2011 (CST)

Math Fixing Macro?
Hi! I've been playing around with emacs macros to make changing pages with \ etc. quicker when I come across them. As far as I can tell, it's not possible to write one that sort's out the aligned material, i.e. that changes | $\mapsto$ \vert, removes the \ \ tags and spaces the }}'s inside an aligned equation without learning some lisp. Just wondered if you had written something along those lines? If not I might have a go, shouldn't be too hard unless lisp is unexpectedly confusing. Linus44 14:27, 20 February 2011 (CST)
 * Cor blimey, lisp! That takes me back. Never used the language, which is unusual for me and my life journey, but once you get your head round the paradigm it seems straightforward.


 * Sounds like a brilliant idea, but I'm wary about using a macro that does things blindly.


 * What would be useful would be for a bot to go through all the pages which have a) deprecated commands: \and, \or, \reals etc. and flag them up by adding them to a category, b) identify those with the old math tags on them, and do likewise, and b) identify those with other breakages on them, whatever they be. Then we'll have a great big category with all the pages that need fixing on them, and we can address them all. Perhaps we can "press the button" on any particular page we come to, and then check the page for consistency before releasing. --prime mover 15:06, 20 February 2011 (CST)


 * Well Lisp ain't too bad, although the author seems confused about the conventions regarding where to put plus signs. Something like this:

(defun cmath (start end) "Replace “<” to “&lt;” and other chars in HTML. This works on the current region."  (interactive "r")  (save-restriction (narrow-to-region start end) (goto-char (point-min)) (while (search-forward "$$" nil t) (replace-match "$" nil t)) (goto-char (point-min)) (while (search-forward "$$" nil t) (replace-match "$" nil t)) (goto-char (point-min)) (while (search-forward "" nil t) (replace-match "    " nil t)) (goto-char (point-min)) (while (search-forward "" nil t) (replace-match "" nil t)) (goto-char (point-min)) (while (search-forward "{{equation" nil t) (replace-match "{{eqn" nil t)) (goto-char (point-min)) (while (search-forward "\\and" nil t) (replace-match "\\land" nil t)) (goto-char (point-min)) (while (search-forward "\\or" nil t) (replace-match "\\lor" nil t)) ;; (goto-char (point-min)) ;; (while (re-search-forward "\\$\\(.+?\\)\\$" nil t)      ;;     (replace-match ;;      (concat "$" (replace-regexp-in-string "|" "\\vert" (buffer-substring (match-beginning 1) (match-end 1))) "$" ) ;regexp-in ;;         ;;(concat "$" (replace-string "|" "\vert" (buffer-substring (match-beginning 1) (match-end 1))) "$" ) ;;  	  nil t       ;;     )      ;;   ) (goto-char (point-min)) (while (re-search-forward "\\([^~]+?\\$[^~]+?\\)" nil t)     (replace-match (concat "{{begin-eqn}}" (replace-regexp-in-string "\\$" "" (buffer-substring (match-beginning 1) (match-end 1))) "{{end-eqn}}") nil t      )     ) ) )

(fset 'mfix  [?\C-x ?h ?\M-x ?c ?m ?a ?t ?h return])


 * in .emacs does the job except 2 problems:
 * for some reason I can't get it to substitute \vert for | (the commented bit), it won't escape the backslash
 * it deletes the dollar signs in the |c= part of equations as well]


 * Since it makes sense to preview the changes first I'm pretty much ok with this, the remaining changes aren't frequent enough to be tedious (which is another way of saying I'm tired of looking at regular expressions). But maybe I'll find the time and interest to neaten it up.


 * As for a bot, I'm more of an incidental programmer so I wouldn't know where to start, although it does sound cool. Linus44 14:22, 21 February 2011 (CST)


 * Perhaps we don't want to do the "equation" bits. No, no "perhaps" about it, I'd rather I (or whoever) did these by hand. The task's not intractable now, we have less than 600 of them, and it's therapeutic. I've done all the long pages (i.e. greater than 6000 characters) so most of the hard work's done.


 * But replacing delimiters directly by $ \$ $ is a good idea.


 * As for a bot, I glanced at the material on the mediawiki site (or wherever it was) and it talks about python, which I'm not prepared to get into at this stage (sheer intellectual idleness) ... had a recent change of career direction and there are less brain cells available for that sort of thing now, at least till I get my metaphorical feet under the equally metaphorical table. --prime mover 15:33, 21 February 2011 (CST)


 * I think I agree, especially when playing with |'s and double braces it's easy to come out with unwanted side effects since they form the "framework" of the template as well. The reason I stopped where I did was that to only pick out the correct sets of characters involved "nested" regular expressions, which I can testify are not theraputic. Although I am impressed with what can be done with emacs, I might learn lisp proper some time.


 * My knowledge of python is based on a couple of xkcd comics; have you tried  ? Linus44 16:57, 21 February 2011 (CST)


 * Nope, not yet, and not tonight, I'm up at 6 in the morning, my wife returns to work and needs transport. Another day. Sleep well. --prime mover 17:02, 21 February 2011 (CST)

Re
Depends, sometimes it's copied, otherwise I usually type them, it's quite a convenient punctuative key so I savour the opportunity. Seriously, don't know, hadn't really thought about it.

Unrelatedly, do you know if this is correct, it seems a little uncanny:


 * Principle of Induction iff Well ordering principle iff Axiom of Choice iff Zorn's Lemma --Linus44 00:36, 23 February 2011 (CST)

Again unrelatedly, just realised your username is that Zodiac Mindwarp song. Good call. -- Linus44 11:03, 23 February 2011 (CST)

Thanks for the hints
I checked the source of the Definition of the Free Group and the math-tags were used there so I assumed that this is the way to handle things here, but I'm very pleased to learn that dollar signs should be used instead (:

Thank you the the other suggestions as well, I'll do my best to mirror the projects way of editing!NoJ 17:25, 26 February 2011 (CST)

When I said the implies arrow was ugly
The new parser seems to have fixed this...how exactly does this new parser work? I am curious! JamesMazur2 (talk) 19:57, 10 March 2011 (CST)

Quick Question
...what notation are you using for "does not divide"? I had a quick look, but couldn't see negated backslash, so left it as vert's for the moment. --Linus44 01:30, 3 May 2011 (CDT)

Re: Links and Categories
I know, and I'll make more of an effort to do it, and will go back and cross-reference stuff I already added over time. For a lame single example, I did add the definition Definition:Ultraproduct a while after having referenced and used it in Compactness Theorem. Although as a side note, I also later noticed that there's a few compactness theorem proofs;

http://www.proofwiki.org/w/index.php?title=Special%3ASearch&search=compactness

I hadn't searched it when I first put it up (I'm learning to do this as well). So at some point I'll probably try to sort out how those should be merged together.

It just already takes a long time to add something and doing all the linking makes it take even longer and makes it less fun/interesting to do. As I get more familiar with the site and more used to the wiki stuff, I'll approach behavior you like more, but I'm probably going to end up striking a balance because I'd rather be doing something that seems like it's adding content rather than connecting it (I understand that poorly connected content is arguably not very good content). A significant part of my motivation here is review and self-education. I recognize the importance of the things you mention for the usefulness of the site, but increasing that isn't necessarily the sole or primary reason for my participation here.

Qedetc 16:04, 2 June 2011 (CDT)

Also! If it's any consolation, I have been watching the edits people do after me and am trying to be more preemptive to save them some of the trouble (mostly so far that's been you and Alecscooper).

Qedetc 16:08, 2 June 2011 (CDT)

Whoops, I had asked about a page name that was weaker than the theorem it pointed to, but realized you were redirecting it to a stronger theorem anyway and had changed the name of that page as well. I guess my remaining question at the moment is whether changing $\kappa$ to $K$ increases the searchability, or should I try to avoid variable names in titles all together, (or at least make sure their role is clear in the title). Also, are really long titles looked down on? Qedetc 11:37, 3 June 2011 (CDT)

Somehow I had missed a message you left. In response to "I notice that there is significant crossover of terminology between this   area of formal language theory / model theory which you're in the   process of working on, and the point-set topology that I'm also working   on." I'm curious; do you have a few examples of particular shared terms or concepts that made you notice some connection (however slight that connection might be)? Qedetc 16:55, 4 June 2011 (CDT)

You don't need to apologize. I was mostly worried that somehow something I said came off offensively. (Which, if it did in any way, feel free to let me know, even if it was because of just what you happened to be thinking about at the time or some weird particularity of how I phrased things. It's not really in my interest to offend people.)

Re: other stuff. It's probably good if someone yells at me occasionally, otherwise I'd probably get lazy and not do things very thoroughly here as far as the site is concerned. I'm secretly lazy.

Qedetc 11:30, 9 June 2011 (CDT)

Thank you for welcome: 日本への栄光
日本への栄光!! Prime.mover,Thank you for welcome May I ask you 3 questions: Again,Thank you for welcome --Yohji kinomoto 16:20, 8 June 2011 (CDT)
 * How old is this nice Project?
 * Is there any Japanese version ?
 * I have some proofs, correction and enhancement, should I do it directly or after permission?

Thank you for the message
Thank you for the note Sir.

It is a little fuzzy for me, but it seem to be simple for you; may you or any of your behalf do this (dividing or cutting or so?)

thank you in advance. --Yohji kinomoto 10:13, 10 June 2011 (CDT)

Correction
I think there is one missing i in the word Polynomials (written Polynomals) in some recent edits. As it was in title, it was difficult to correct.
 * Regards and congratulations for the great job!--Integer 17:18, 10 June 2011 (CDT)

Thank you so much " Prime.mover " for supporting me thanks ...