From: Scott Roberts (jse885@earthlink.net)
Date: Wed Nov 10 2004 - 18:30:31 GMT
Mel,
> Of course even in the intellectual we agree on the
> being of non-existence things for certain purposes,
> say, square root of negative one.
Bad example. The square root of negative one ('i') is no less non-existent
than any other number. It can be interpreted visually as the rotation by 90
degrees in the plane, that is, given a complex number (which can be
represented as a point on the plane), multiplying it by i is to rotate it
by 90 degrees (around the (0,0) point). Multiplying it again by i rotates
it another 90 degrees, or 180 degrees total, which is to reverse the
original number's direction, which is what you get by multipying the
original number by -1.
- Scott
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