Path: csiph.com!v102.xanadu-bbs.net!xanadu-bbs.net!feeder.erje.net!us.feeder.erje.net!newspeer1.nac.net!newspump.sol.net!post2.nntp.sol.net!posts.news.twtelecom.net!nnrp3.twtelecom.net!not-for-mail From: "Kevin J. McCann" Newsgroups: comp.soft-sys.math.mathematica Subject: Re: complex conjugation by star Date: Mon, 21 Apr 2014 09:11:03 +0000 (UTC) Sender: steve@smc.vnet.net Approved: Steven M. Christensen , Moderator Message-ID: References: <20140418054638.0964A6A15@smc.vnet.net> Lines: 62 Organization: Time-Warner Telecom NNTP-Posting-Date: 21 Apr 2014 09:17:10 GMT NNTP-Posting-Host: 00516bb2.news.twtelecom.net X-Trace: DXC=aQ[CD]llnf[144X5D4^0KSC_A=>8kQj6];[h;PUXBgbT3`G[5H2>>MREFiONJ7[GoVLhn`0d5_I:[ X-Complaints-To: abuse@twtelecom.net Xref: csiph.com comp.soft-sys.math.mathematica:16831 I have used the following for many years Clear[x, aaa, bbb] SuperStar[x_] := x /. Complex[aaa_, bbb_] -> Complex[aaa, -bbb] (The SuperStar[x_] translates to x_^*) No problems. Also, no highlighted asterisk. Kevin On 4/20/2014 4:47 AM, Murray Eisenberg wrote: > I don't see how your definition can be valid. When I type input > > f_*:=f/.Complex[u_,v_]->Complex[u,-v] > > I see a highlighted asterisk, indicating a syntax error. > > > On Apr 18, 2014, at 1:46 AM, Brambilla Roberto Luigi (RSE) wrote: > >> I have defined the following useful star complex-conjugation (common star exponent notation) >> >> f_*:=f/.Complex[u_,v_]->Complex[u,-v] >> >> and it works fine. For example BesselJ[2,x+I y]* gives BesselJ[2,x-I y] etc...(x,y defined/undefined). >> Also it is listable on number lists >> >> {1+i2, 5+i6}* gives {1-i2, 5-i6} . >> >> Unfortunately it does not work on symbols, i.e. >> A* gives A even if I have defined A as a complex number by means of Element[A, Complexes]. >> Similarly if I define Element[{A,B,G}, Complexes] >> >> {A,B,G}* gives {A,B,G} and (A+B+G)* gives A+B+G. >> >> I'd like to obtain {A*,B*,G*} and A*+B*+G* ( ! ) >> >> Is it possible to fix this deficiency, unpleasant in manipulating general expressions where is not known >> if symbols represent real or complex variables ? >> >> Many thanks! >> Rob >> >> >> >> > Murray Eisenberg murray@math.umass.edu > Mathematics & Statistics Dept. > Lederle Graduate Research Tower phone 240 246-7240 (H) > University of Massachusetts > 710 North Pleasant Street > Amherst, MA 01003-9305 > > > > > > >