in reply to Re^9: Numification of strings
in thread Numification of strings

So do you prefer this mathematical approach?

I first used the math definition, and you said you use the CS definition. Now you're using the math definition.

Using the math approach, orthogonal is perpendicular. That's not the same as "not parallel". There are parallels between ++ and +=1 (or else you wouldn't have compared them), so talking about their orthoganility is useless.

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Re^11: Numification of strings
by LanX (Saint) on Aug 03, 2010 at 22:07 UTC
    > ...orthogonal is perpendicular....

    it can't be that difficult ...

    the metaphor is a space spawn by different base vectors which represent features, if ++ and + are not parallel the cartesian product has either an additional dimension or the vectors are not orthogonal anymore.

    But it's just a graphic metaphor, because you can hardly represent a computer language as a primitive n-dimensional vector space.

    Thats why you need a more abstract model from Universal Algebra (which BTW is used in CS and Math) .

    Cheers Rolf

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