RE: Re: Laplacian and curlcurl with maxwells eqn's
- To: mathgroup at smc.vnet.net
- Subject: [mg45320] RE: [mg41836] Re: Laplacian and curlcurl with maxwells eqn's
- From: Blimbaum Jerry DLPC <BlimbaumJE at ncsc.navy.mil>
- Date: Tue, 30 Dec 2003 04:14:25 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
First....happy holidays to all...I would like to sincerely thank all those who give of their time and effort to help the rest of us with Mathematica....Secondly, I want to make an additional comment on Hong Qin's package besides it's use for Vector Analysis....basically for those who have never written one (such as myself)...I found his package very instructive and straight forward for learning how to write one's own package...something else that this package answered for me, which I have been wondering about for many years now, is how does one create a palette of symbols and then get Mathematica to read those symbols correctly...again, this package shows clearly how to do this with the commands MakeBoxes and MakeExpression, etc.....his program creates a palette which includes the div, curl, grad, etc. operators in their symbol form....for those who arent up on creating palettes, etc. but want to find out how to do it, I think his package is an excellent reference for that also... jerry blimbaum NSWC Panama City, fl -----Original Message----- From: Paul Abbott [mailto:paul at physics.uwa.edu.au] To: mathgroup at smc.vnet.net Subject: [mg45320] [mg41836] Re: Laplacian and curlcurl with maxwells eqn's In article <bbna5i$2ak$1 at smc.vnet.net>, "Chris Williams" <bone_thugz_69 at hotmail.com> wrote: > Suppose i was to define two functions electricE and magneticH as some values > that satisfied div electricE = 0, div magneticH = 0, curl electricE = > -1/c(dH/dt) curl magneticH = -1/c(dE/dt) > how would i then use these equations to say find the laplacian value of E H > which should equal -1/c^2(d^2E/dt^2) and -1/c^2(d^2H/dt^2) respectively > i am also having trouble proving that curlcurlE and curlcurlH equal > -1/c^2(d^2E/dt^2) and -1/c^2(d^2H/dt^2) respectively > i know how to do it by hand, but am relatively new to mathematica ... any > help is greatfully appreciated! thank you At http://w3.pppl.gov/~hongqin/computerAlgebra.htm you will find reference to a Mathematica Symbolic Vector Analysis package developed by Hong Qin. I have made a few minor changes to his Package (correcting some formatting bugs) and put his Package, Notebooks, and PDF files at http://www.physics.uwa.edu.au/pub/Mathematica/Calculus/ I suggest putting GeneralVectorAnalysis.m into a folder called Calculus in the directory returned by evaluating $UserAddOnsDirectory. Cheers, Paul -- Paul Abbott Phone: +61 8 9380 2734 School of Physics, M013 Fax: +61 8 9380 1014 The University of Western Australia (CRICOS Provider No 00126G) 35 Stirling Highway Crawley WA 6009 mailto:paul at physics.uwa.edu.au AUSTRALIA http://physics.uwa.edu.au/~paul