Re: What's going on here??
- To: mathgroup at smc.vnet.net
- Subject: [mg33535] Re: [mg33502] What's going on here??
- From: Adam Strzebonski <adams at wolfram.com>
- Date: Fri, 29 Mar 2002 06:13:21 -0500 (EST)
- References: <11A732E5-3F06-11D6-B1D7-00039311C1CC@tuins.ac.jp>
- Sender: owner-wri-mathgroup at wolfram.com
This is a bug affecting Simplify with assumptions of expressions containing a==b or a!=b, with Together[a-b]==0. Thanks for pointing it out. Putting the following code in your init.m should fix it. Unprotect[Simplify]; Simplify`fixrules = { Equal[a___, b_, c___, d_, e___] :> Equal[a, b, c, e] /; Together[b-d]===0, Unequal[a___, b_, c___, d_, e___] :> False /; Together[b-d]===0, HoldPattern[Inequality[a___, b_, Equal, c_, d___]] :> Inequality[a, b, d] /; Together[b-c]===0 }; Simplify`fixflag=True; Simplify[a_, assum_, opts___] /; Simplify`fixflag && !OptionQ[assum] := Block[{Simplify`fixflag=False}, Simplify[a/.Simplify`fixrules, assum, opts]] Protect[Simplify]; Best Regards, Adam Strzebonski Wolfram Research Andrzej Kozlowski wrote: > > This is certainly a bug. In your example c does not occur in the formula > that is being simplified so the problem looks innocuous but a small > modification makes it look more serious: > > In[1]:= > Simplify[5(a+a b-a(1+b))*c==0,{c>5}] > > Out[1]= > False > > Without the assumption there is no problem. Also, the following give > the correct result: > > In[2]:= > Simplify[5(a+a b-a(1+b))*c>=0,{c>5}] > > Out[2]= > True > > In[3]:= > Simplify[5(a+a b-a(1+b))*c<=0,{c>5}] > > Out[3]= > True > > Andrzej Kozlowski > Toyama International University > JAPAN > http://platon.c.u-tokyo.ac.jp/andrzej/ > > On Sunday, March 24, 2002, at 06:43 AM, Mat Bowen wrote: > > > Hello, > > > > I was getting weird results today and reduced the code producing them to > > this: > > > > Clear[a,b,c] > > Simplify[5(a+a b-a(1+b))==0,{c>5}] > > > > False > > > > > > Surely thatÏ?s not right?! Can anyone explain whats going on? > > > > Thanks, and apologies if this is already known. > > > > Mat Bowen > > Department of Mathematics > > Loughborough University > > > > > > > >