From: Don Pearce
Subject: Re: How does a mixer work?
Date: Tue, 22 Oct 2002 10:43:24 +0430
References: <firstname.lastname@example.org> <email@example.com>
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On 21 Oct 2002 06:55:46 GMT, firstname.lastname@example.org (Richard
Steven Walz) wrote:
>>>You're in the wrong crowd for your pretense, you piece of shit.
>>>We all know what I meant, AND that you're a disingenuous asshole!
>>So come on - just tell us what you meant. Did you mean:
>>"When you add sine waves you wind up effectively adding them"?
>>That would be correct, but hardly illuminating.
>NO, you STUPID PIECE OF SHIT!!
>sin(x)*sin(y) = (1/2)cos(x+y) - (1/2)cos(x-y)
>What in the fuck is WRONG with you!??
Now I understand! You think that because sin(x)*sin(y) can be
expressed in cos terms of (x+y) then multiplying the sinusoids on the
left is effectively the same as adding the coses (which we accept as
sinusoids) on the right!
Bad news, I'm afraid. Those aren't sinusoids being added on the right.
If you look a little harder, you will see that the x and y terms are
within brackets, and the whole sum is then treated by the identity.
If you had just said all that in the first place (instead of telling
me to go back to school), we could have straightened out your mistake
in a couple of posts.