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Re: DirectedInfinity[1 + I], why does it get replaced by (1 + I)/(sqrt(2) ?

• To: mathgroup at smc.vnet.net
• Subject: [mg55838] Re: DirectedInfinity[1 + I], why does it get replaced by (1 + I)/(sqrt(2) ?
• From: "Peltio" <peltio at trilight.zone>
• Date: Thu, 7 Apr 2005 05:10:47 -0400 (EDT)
• References: <d3041u$ndm$1@smc.vnet.net>
• Reply-to: "Peltio" <peltioNOSPAM at despammed.com.invalid>
• Sender: owner-wri-mathgroup at wolfram.com

"Matt" wrote

>I realize that (1 + I)/sqrt(2) is in the same direction as (1 + I), but
>why did Mathematica change it to the more 'strange' form?

The 'stranger' form is that of a versor.
I guess Mathematica has reduced your input to a 'normal form', that is a uniquely
defined representation of a certain quantity (the direction, in this case).
This is useful for several reasons, the most important being comparing
different objects of the same kind.

cheers,
Peltio
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