Re: Trouble : simple stuffs for beginner
- To: mathgroup at smc.vnet.net
- Subject: [mg48280] Re: Trouble : simple stuffs for beginner
- From: Julien MARY <julien.mary at free.fr>
- Date: Fri, 21 May 2004 03:54:29 -0400 (EDT)
- References: <c8f236$d3l$1@smc.vnet.net> <c8hp31$fun$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
The boolean relation will be 0 if false 1 if true. Then it mean a caracteristic fonction (like in measure theory) which is equal to 1 if x is between 2k-1 and 2k+1 and 0 elsewhere. Jens-Peer Kuska wrote: > Hi, > > what mean > > (-1)^k(2k - t)(2k - 1 < x <= 2k + 1)E[-(t - x)^2/2] > > ?? Multiply by a boolenan relation ?? > > I will not understand this and it has nothing to do with > Mathematica syntax .. can you explain what this is ?? > > Regards > Jens > > Julien MARY wrote: > >> Hello, >> >> I am using Mathematica 4.0 with Linux Debian. >> >> I am defining : >> >> g[x_] := Sum[ >> Integrate[(-1)^k(2k - t)(2k - 1 < x <= 2k + 1)E[-(t - x)^2/2], >> t], {k, -Infinity, Infinity}] >> >>To be clear, it the convolution of arcsin(sin(x))/2Pi with exp(-x²/2) >> >> The I want to plot g[x] with Plot[g[x],{x,-10,10}] and Mathematica is >>insulting me. Bug of Mathematica of Bug of my using of it ? >> >> Julien >>======================================================================== >> \!\(NSum::"nsnum" \(\(:\)\(\ \)\) >> "Summand (or its derivative) \!\(\[Integral] \(\(\[LeftSkeleton] 1 \ >>\[RightSkeleton]\)\)\) is not numerical at point \!\(k\) = \!\(46661\)."\)d1 >> >>General::"stop": "Further output of \!\(NSum :: \"nsnum\"\) will be \ >>suppressed during this calculation." >> >>Plot::"plnr": "\!\(g[x]\) is not a machine-size real number at \!\(x\) = \ >>\!\(-9.999999166666667`\)."tpp >> >>....... etc ... >>========================================================================== > >