Re: Attack of the Strings People; "just so story?"

In sci.physics, LawsonE
<[EMAIL PROTECTED]>
 wrote
on Thu, 06 Nov 2003 12:25:38 GMT
<[EMAIL PROTECTED]>:
> 
> "Keynes" <[EMAIL PROTECTED]> wrote in message
> news:[EMAIL PROTECTED]
> [...]
>> But there is no mathematical way to square a number
>> and get a negative result.  Yet it is allowed to take the
>> square root of a negative number.  This defies reason IMBO.
>> It does work and gives apparently valid results, as far as we
>> can see at this time, but could it be something like orbital
>> epicycles?
> 
>  e^(i*pi) - 1 = 0.

Pedant point: e^(i*pi) + 1 = 0.

> 
> 
> That relates imaginary numbers, trig, and all sorts of things. It's a
> derived from Euler's Equation:
> 
> e^( i*theta) =  cos(theta) + i*sin(theta).
> 
> 
> Contemplate THAT gem for a while.
> 

It's extremely pretty. :-)  Has some other interesting ramifications,
as well (for example, i^i has multiple answers!).

-- 
#191, [EMAIL PROTECTED]
It's still legal to go .sigless.