[math-fun] Distributivity of addition over multiplication
Of course x + yz = (x + y)(x + z) is not true in general for (x,y,z) in R^3. But I don't think I would have guessed which (x,y,z) in R^3 that it does hold for. It only takes a few seconds to figure out what this set is. But can someone give an intuitive reason for why it is what it is? --Dan _____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele
On Thu, 21 Aug 2008, Dan Asimov wrote:
Of course
x + yz = (x + y)(x + z)
is not true in general for (x,y,z) in R^3.
[...] Interesting! I plotted each side and derived the intersection plane, but it does indeed seem quite odd that that would be the resulting shape. What's the answer?
participants (2)
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Dan Asimov -
Jason