Re: When I count, I think of numbers as...

There should be an option for "other" and there should be an option for "it depends."

Once, while learning how many edges exist in a complete graph K_n, and we worked with the example K₄, when I closed my eyes I visualized a dim blue representation of the graph on a black field. Each edge adjacent on a partcular vertex (3 at a time in this case) illuminated a bright, neon blue in an alternating clockwise fashion, all in a span of less than half of a second. In counting the edges I saw the handshaking lemma in action with instances of some edges being lit 2 times in a row.

I hastily muttered: "En-times-en-minus-one-over-two."

I don't remember exactly what my professor was asking me prior to that moment. I did some pondering on the questions I was asked, but it all came together at that one brief instant.

Mostly, I think of scalars.

Comment on Re: When I count, I think of numbers as...

Replies are listed 'Best First'.
Re^2: When I count, I think of numbers as... by merlyn (Sage) on Jun 01, 2005 at 12:42 UTC
There are times that I envy those of you with these visual powers. On the other hand, I am never burdened asking myself (or others) "what does a scalar look like in memory?". I never cared. I deal with scalars as abstract entities, to which a series of operations can be performed. Without needing to "picture" everything (or even anything), I have learned different rules for manipulation that seem to solve some problems faster than others. Also, I'm crazy good at puns, since I hear similar words, rather than see similar things. -- Randal L. Schwartz, Perl hacker Be sure to read my standard disclaimer if this is a reply.	[reply]
Re^3: When I count, I think of numbers as... by renz (Scribe) on Jun 01, 2005 at 13:46 UTC
I've never done well with images either. I can sort of remember faces, but visualization has never come easy for me. I almost never see images when I think unless I actively try to build them in my head. I too am terrible at reconstructing torn down images. But I do love to play with language. Also, I tend to work backwards through almost everything. I take wide logical leaps and try to determine the mechanics it would take to legitimately arrive at those conclusions. Anyone else think that way? /renz. "Call on God, but row away from the rocks." --Hunter S. Thompson.	[reply]
Re^3: When I count, I think of numbers as... by ktross (Deacon) on Jun 01, 2005 at 13:06 UTC
merlyn, Sorry, a pre-emptive (--) for when you start breaking out the puns. Pre-emptive strikes are the American way. *Spem Successus Alit*	[reply]
Re^3: When I count, I think of numbers as... by naChoZ (Curate) on Jun 03, 2005 at 15:36 UTC
Not me. I have to have the visual. For instance, I tend think of variables as gold bars. Sure, you can accomplish at lot with them, but they're unwieldly and lugging around a bunch of gold bars slows everything down. Wouldn't you really rather carry a nice scrap of paper in your pocket with a denomination written on it?? ;) -- naChoZ Where in the nursery rhyme does it say Humpty Dumpty is an egg?	[reply]


Problems? Is your data what you think it is?
	PerlMonks