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

by petemar1 (Pilgrim)
on Jun 01, 2005 at 10:01 UTC ( #462379=note: print w/replies, xml ) Need Help??

in reply to 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 Kn, 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.

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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.

      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?

      "Call on God, but row away from the rocks."
      --Hunter S. Thompson.

      Sorry, a pre-emptive (--) for when you start breaking out the puns. Pre-emptive strikes are the American way.

      Spem Successus Alit

      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?? ;)


      Where in the nursery rhyme does it say Humpty Dumpty is an egg?

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