User talk:Prime.mover

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 Quadratic Equation) it needs more columns, e.g. to put a $$\Longrightarrow$$ 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 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)