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RE: Intersection of sets of results
*To*: mathgroup at smc.vnet.net
*Subject*: [mg37113] RE: [mg37099] Intersection of sets of results
*From*: "DrBob" <drbob at bigfoot.com>
*Date*: Thu, 10 Oct 2002 03:20:46 -0400 (EDT)
*Reply-to*: <drbob at bigfoot.com>
*Sender*: owner-wri-mathgroup at wolfram.com
Those aren't equations; they're functions, and we don't solve functions,
we solve equations. What equations do you want to solve?
DrBob
-----Original Message-----
From: flip [mailto:flip_alpha at safebunch.com]
To: mathgroup at smc.vnet.net
Subject: [mg37113] [mg37099] Intersection of sets of results
Hello All,
I have two equations that I have solved for:
x[n_] := 2331 + 8 n
y[n_] := -3108 - 11n
I want to include only solutions which are non-negative, that is x >= 0
and
y >= 0.
In this example we can do 2331 + 8n > = 0 and solve for n, n >= -291.375
and -3108 - 11 n >= 0 and solve for n, n <= -282.545
So we have -291.375 <= n <= -282.545.
The "integer solution set here is for n =
{-290, -289, -288, -287, -286, -285, -284, -283}.
So in this case we have 8 non-negative solutions.
Given that I can supply x[n] and y[n], how do I go about finding the set
n?
Thank you for any inputs, Flip
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