Re: UnitStep in Mathematica 4.1
- To: mathgroup at smc.vnet.net
- Subject: [mg38220] Re: [mg38180] UnitStep in Mathematica 4.1
- From: Vladimir Bondarenko <vvb at mail.strace.net>
- Date: Thu, 5 Dec 2002 03:35:00 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
pillsy at mac.com (Matt Pillsbury) wrote on Wednesday, December 04, 2002, 4:26:04 AM : MP> I have been relying on the UnitStep function in a project, and in MP> general it seems to work pretty nicely. However, there is one simple MP> problem that I'm having with it. Mathematica doesn't know that MP> Integrate[UnitStep[-x] UnitStep[x], {x,-1,1}] MP> should be zero. Is this because the integrand is 0 everywhere but at MP> the origin, where it is 1, and Mathematica doesn't know what to do MP> with the contribution from a set of measure zero? Or am I doing MP> something else wrong? MP> And is there a simple fix for my problem? The Integration package written by Roger Germundsson does what you want. In[1] := << Calculus`Integration` In[2] := Integrate[UnitStep[-x] UnitStep[x], {x, -1, 1}] Out[2] = 0 Best wishes, Vladimir Bondarenko Mathematical and Production Director Symbolic Testing Group http://www.CAS-testing.org/ GEMM Project (95% ready) Email: vvb at mail.strace.net Voice: (380)-652-447325 Mon-Fri 6 a.m. - 3 p.m. GMT ICQ : 173050619 Mail : 76 Zalesskaya Str, Simferopol, Crimea, Ukraine