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Article #521

Re: Studying Waves With Graphics Calculatore

#521
From: Gary Garber
Date: Sun, 05 Mar 1995 03:48
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Ed, I am very impresssed with the lab work sheet that you have put
together.  It's GREAT!!!


As an interesting adendum, I have been doing similar work with
my students with forming waves that have different shaped waves.

FOr those of you who are interested, here are the shapes for some
different waves


Sawtooth Wave   Y1 = SINX + 0.5SIN(2X) + 0.33 SIN (3X) +
        0.25 SIN (4X) + 0.2 SIN (5X) ++++++ etc.

Square Wave Y1 = SINX + 1/3 SIN3X + 1/5 SIN5X + 1/7 SIN7X
        + 1/9 SIN 9X

Triangle Wave  Y1 = SINX + 1/9 SIN (3X) + 1/25 SIN(5X)
        + 1/49 SIN(7X) + 1/81 SIN (9X)

Incidentally, the students think that a sqaure wave made up from
only the lower harmonics is "The Bart Simpson Wave!"

Gary Garber
Germantown Friends School
Philly, City of Brotherly Love
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From: Gary Garber <garber1@NES.NERSC.GOV>
Subject: Re: Studying Waves With Graphics Calculatore
In-Reply-To: <9503041352.AA66581@nes.nersc.gov>; from "Edwin Schweber" at Mar
              4, 95 5:48 am
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