Re: 2 quick questions
- To: mathgroup at smc.vnet.net
- Subject: [mg112028] Re: 2 quick questions
- From: Bill Rowe <readnews at sbcglobal.net>
- Date: Wed, 25 Aug 2010 06:05:06 -0400 (EDT)
On 8/24/10 at 6:14 AM, lrebanks at netvigator.com (Lea Rebanks) wrote:
>I have 2 quick questions regarding the Solve[Function].
>Firstly I wish to use Solve[eqns, {A, B}] on a simple system of
>equations with missing variables A & B.
>However I wish to constrain the results from Solve ...
>1# - For all values of A and B to be positive values.
>And
>2# - One of the variables, say B, to be a positive integer.
>Please could someone show me the correct coding for these 2
>requirements with a simple working example in both cases.
If I wanted to add constraints on variables in equations, I
would probably use Reduce rather than Solve. That is something like
Reduce[And@@Flatten[{eqns, A>0,B>0,Element[B, Integers]}],{A,B}]
for example
In[10]:= eqns = {x^2 - 1 == 0, 2*x*y^2 == 200};
In[11]:= Reduce[
And @@ Flatten[{eqns, x > 0, y > 0, Element[y, Integers]}],
{x, y}]
Out[11]= x == 1 && y == 10