i think the proof is invalid because root(x/y)=(root x)/(root y) only works where x and y are both positive. The principle does not hold, and thus invalidates this proof, when there are negative numbers.
end situation:
manager has 25
guys have 3
bellboy has 2
total of 30
the 27+2 calculation is erroneous since you are adding the tip twice. it should be that the men spent 27 (25 to the manager and 2 to the bellboy) but are now holding onto 3.
that's pretty much what i was thinking, something along the lines of pure tones (equal peaks and troughs with no fall off), so no harmonization. But my understanding of waves and acoustics is rudimentary at best so I just wanted to ask.
I was just bothered when I heard the statement, "wolf howls make no echoes" since it was reminiscent of the duck myth which I always had thought was ridiculous. Probably should be, "howl echoes are hard to perceive."
First of all, what properties of a sound make for an optimal echo?
And second, I just saw a show that claims a wolf echo does not make an echo:
http://animalplanet.discoveryeurope.com/50outrageousanimalfact
s/feature8.shtml
I don't believe that at all since it makes no sense, but is there any merit to that claim (which is why I asked the first question)?
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