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April 2003, Week 4

HP3000-L@RAVEN.UTC.EDU

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From:
Wirt Atmar <[log in to unmask]>
Reply To:
[log in to unmask][log in to unmask], 24 Apr 2003 15:16:45 -0500442_- Overload protection is provided by circuit breakers and
fuses. Utilities do not provide nor rent this protection.
Surge / spike / transient protection is different. Some
electric utilities rent a 'whole house' surge protector for
maybe $5 per month. It shunts or earths transients that
exceed 300 volts on the 120 VAC line. 300 volt transients are
below what any 120 VAC appliance should withstand without
damage. [...]40_24Apr200315:16:[log in to unmask]
Date:
Tue, 22 Apr 2003 16:22:32 EDT
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Brice writes:

> I need a proof of this
>
>  "e^(i*pi) = -1"  -- Euler

Two different methods of proving Euler's Equation to be true appear at:

     http://perch.cimr.cam.ac.uk/Course/Adv_diff1/Euler.html

Euler's Equation states that:

     e^(i * alpha) = cos(alpha) + i * sin(alpha)

If you let alpha = pi, then the righthand side becomes:

     e^(i * pi) = -1 + i * 0

Wirt Atmar

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