mm-2289 === Subject: Re: Re-QUINTIC EQUATION Two sites I have found on the Internet about the quintic: http://www.vimagic.de/hope/index.html?/hope/5/Quintic_two.html and http://mathworld.wolfram.com/QuinticEquation.html Any books or journals? Dr.Mehran Basti === Subject: Re: Journals and my papers To further comment on David Wilkinson.89´.9cs question, the following was one of the attempts to solve the quadratic equation: .89´[Thorn]1733 Halley solves the quadratic in trigonometric functions..89´Ø You see how important is resolving the classical equations with different methods. Dr.Mehran Basti === Subject: Re: Journals and my papers > To further comment on David Wilkinson's question, the following was one of > the attempts to solve the quadratic equation: > 1733 > Halley solves the quadratic in trigonometric functions. > You see how important is resolving the classical equations with different > methods. No. It was obviously the wrong approach because everyone now uses the simple standard solution. === Subject: Re: Journals and my papers Certainly the researchers solve the quadratic equation with the hope of generalizing it further. .89´[Thorn]1733 Halley solves the quadratic in trigonometric functions..89´Ø Possibly the case of irreducible cubic using the trigonometric solutions for better computations followed. In this case applications did not go far enough. But in the case of differential equations this is a new and dynamic field, which eventually substitutes the Galois methods for solving the polynomials. Dr.Mehran Basti === Subject: Re: [mma] How to convert to hyperpolic function? > .... and a specific question is how > to make the output of this example expressed in arcsinh instead of in > terms of ln?.... I can't help you with mma, but your question may be essentially mathematical: how can you express a log in terms of an inverse sinh? If that's it, then in the definition sinh(u) = (e^u - e^-u)/2 write u = ln(t) so e^u = t. Then sinh(ln(t)) = (t - (1/t))/2 so ln(t) = arcsinh((t - (1/t))/2). That should enable you to make the conversions you want, just by plugging in different values of t. Ken Pledger. === Subject: MuPAD 3.0 PDF Documentation Problems I've been having problems with the PDF-format documentation for MuPAD 3.0, which I downloaded from http://www.mupad.com/STATIC/DOC30/eng/index.html. I would have contacted MuPAD (www.mupad.com) directly, but they seem keen on having problems discussed here, rather than being bothered with e-mails. As they deal generously with students (which includes me), I feel obligated to acquiesce. Attempting to open the stdlib.pdf file, as well as all the few other PDF files I tried, in Adobe's PDF Reader 6 results in the following error message: Could not find a font in the Resources dictionary - using Helvetica instead. N.B. With the Stdlib.pdf file, the error message only occurs after you reach page 16, give or take. N.B. Of course, the Helvetia substitution works exceptionally poorly. If it worked well, it wouldn't be a problem! Opening the same file in Adobe's PDF Reader version 5 results in a similar error, plus another one. Has anyone else experienced a similar problem? If the PDF fileS -- I suspect the whole lot -- are defective, is there any chance of getting them replaced? Or does the fault lie not in my Germany, but in my computer? (Sorry Shakespeare ) Cordially, Richard Kanarek P.S. Despite the above annoyance, and a very few others , my nascent dabbling with MuPAD has left me quite pleased. Economical, (apparently) well made, non-obtrusive copy protection, attractive academic pricing (the 2.5 version is free!), multiple OS support, minimal OS/HW requirements: if it can do math too, it'll be great! === Subject: Re: MuPAD 3.0 PDF Documentation Problems > I've been having problems with the PDF-format documentation for MuPAD > 3.0, which I downloaded from > http://www.mupad.com/STATIC/DOC30/eng/index.html. I would have It seems that copy had not been updated after some important bug fixes. Please try www.mupad.de/doc30.html and the files you find there. > contacted MuPAD (www.mupad.com) directly, but they seem keen on having > problems discussed here, rather than being bothered with e-mails. As How did you get that impression? I agree SciFace should list a mailing address under Support. Something else? -- +--+ +--+| |+-|+ Christopher Creutzig (ccr@mupad.de) +--+ Tel.: 05251-60-5525 === Subject: Re: MuPAD 3.0 PDF Documentation Problems formatted -- PDF documentation files for MuPAD! I confess to having not yet read the 9xx page stdlib.pdf file, nor any of the other files, but I did try viewing it with Adobe's PDF reader, and it seemed a-okay. Regarding MuPAD support: >> contacted MuPAD (www.mupad.com) directly, but they seem keen on having >> problems discussed here, rather than being bothered with e-mails. As > How did you get that impression? I agree SciFace should list a >mailing address under Support. Something else? I certainly wasn't attempting to criticize SciFace, and I apologized if I sounded that way. Considering the vast number of tedious questions SciFace is vulnerable to -- e.g. software questions, operating system questions, math questions -- I would quite understand if SciFace did away with both their phones and their e-mail. Still, to answer your question, I got the impression that e-mail support was discouraged from by the lack of a clear e-mail address, as well as the comment on http://www.mupad.com/index.php?menu=4&ID=66687 that directed me here. It is only fair to point out that there is, in fact, an e-mail address on the above referenced page. It is contained as part of a mailto link, in a yellow-on-yellow letter graphic, located on the top right of the web page. I confess that I never noticed it until just now. Cordially, Richard Kanarek >> I've been having problems with the PDF-format documentation for MuPAD >> 3.0, which I downloaded from >> http://www.mupad.com/STATIC/DOC30/eng/index.html. I would have > It seems that copy had not been updated after some important bug >fixes. Please try www.mupad.de/doc30.html and the files you find >there. >> contacted MuPAD (www.mupad.com) directly, but they seem keen on having >> problems discussed here, rather than being bothered with e-mails. As > How did you get that impression? I agree SciFace should list a >mailing address under Support. Something else? === Subject: Re: on functional languages for symbolic programming > This little nice paper below shows an example of implementing > random walk algorithm in MATHEMATICA. It claims that FL are > much better for scientific work. > thinks it is good for far more than it really is. RJF is not quite correct. he should have said do not put ANY trust in anything i have written, including the 3 books on programming scientific models in the fields of physics, chemistry, biology, economics and social science in mathematica. instead, look at any of the models presented in those books that interests you and then program the same model in any language you like and compare the elegance, simplicity, speed, etc of your program informed decision on using the language. note: i actually began to learn how to program in mathematica becuase i was (and still am) interested in random walks, not in mathematica, and someone said i should try programming the random walk model in mathematica and see if i liked doing it and if i did to then to extend my model to another model, such as the levy flight model and so on and to stop using mathematica for programming scientific models when i found it couldn't do the sciettific programming that i wanted to do. i never found that to be the case, so i just kept using mathematica for my scientific programming until i retired recently. to paraphrase the tv disclaimer your mileage may vary according to the your driving skills and the road conditions === Subject: Re: on functional languages for symbolic programming I have a paper comparing Richard Gaylord's programs on cellular automata in Mathematica to ones in other languages including Lisp, ML, C++, MuPAD, Maple, CMAL and maybe some other The Mathematica programs (specifically for forest fire simulation) are not especially elegant, and I think the 10,000 times slowdown compared to others shows Mathematica is actually unsuitable except for toy demonstrations, or VERY patient people. It is possible for an energetic, well-meaning person to enthusiatically write very bad programs. Especially if he knows exactly one programming language, he might think that the one language he knows is just so neat (elegant etc), that everyone should use it for everything, disregarding evidence to the contrary. I wish RJG the best of health in his retirement. RJF >This little nice paper below shows an example of implementing >random walk algorithm in MATHEMATICA. It claims that FL are >much better for scientific work. >>thinks it is good for far more than it really is. > RJF is not quite correct. he should have said do not put ANY trust in > anything i have written, including the 3 books on programming > scientific models in the fields of physics, chemistry, biology, > economics and social science in mathematica. > instead, look at any of the models presented in those books that > interests you and then program the same model in any language you > like and compare the elegance, simplicity, speed, etc of your program > informed decision on using the language. > note: i actually began to learn how to program in mathematica becuase > i was (and still am) interested in random walks, not in mathematica, > and someone said i should try programming the random walk model in > mathematica and see if i liked doing it and if i did to then to > extend my model to another model, such as the levy flight model and so > on and to stop using mathematica for programming scientific models > when i found it couldn't do the sciettific programming that i wanted > to do. i never found that to be the case, so i just kept using > mathematica for my scientific programming until i retired recently. > to paraphrase the tv disclaimer your mileage may vary according to > the your driving skills and the road conditions === Subject: Re: on functional languages for symbolic programming > I have a paper comparing Richard Gaylord's > programs on cellular automata in Mathematica > to ones in other languages including Lisp, ML, C++, > MuPAD, Maple, CMAL and maybe some other RFK, please reference the paper you mention above so that we can all look at it. i might mention, as my final philosophical position on prograsmming and science that: [1] i am no longer interested at all in cellular automata modelling, in any language, of any system. [2] i think the computer modelling of social, economic and socio-economic phenomena is a total waste of time as these fields are not scientific. that is to say they have little or no predictive abilities so while they may be interesting to study, they can't claim to be science - ie., social science is an oxymoron. [3}i have concluded that the use of computer modelling (ie., computer simulation) of scientific phenomenon to be an unsatisfactory approach to doing science. i think the proper language of science is mathematical in nature and that one should use CAS systems to 'do math' rather than carry out c'omputer experiments'. note: as to how the various CAS's rate in their abilities to 'do analytical math' i have no basis at all for comparing them. thank you RFK, for your good wishes for my health in my retirement. i can use them as i just had a defibrillator/resynchroniztion pacemaker implanted last wednesday (it's the rolls royce of cardiac gizmos) and i intend to have a long retirment, spending it doing things that are alot more enjoyable to me than programming or engaging in religious wars over scientific theories or programming languages - there so many books to read, movies to view, and beers to drink :) === Subject: Re: on functional languages for symbolic programming > I have a paper comparing Richard Gaylord's > programs on cellular automata in Mathematica > to ones in other languages including Lisp, ML, C++, > MuPAD, Maple, CMAL and maybe some other Is that paper online somewhere? TIA, Albert. === Subject: Re: [mma] independent variable problem in function definition > I am having some problem using a function in mma that I defined as > follows: > fd[z_]:= D[ f[z] , z ] > So the above is supposed to define the first derivative of f[z], which > in turn I have defined somewhere else as > f[z_]:= 1-Cos[z] Why are you using _delayed_ assignment here? Why not use Set: f[z_] = 1-Cos[z] You can also write fd[z_] = D[ f[z] , z ] to compute the derivative immediately (rather than _each time_ fd is called). The difference between immediate and delayed assignment is important, at least in Mathematica. For example, compare r = Random[] Table[r, {3}] with r := Random[] Table[r, {3}] This simple example indicates why both types of assignment are implemented. Sometimes you might want to work with a fixed random number and at other times you want a different random number upon each invocation. > The problem shows up when I try to plot fd[z]. Then 'z' is passed > as a number to fd[z] during plotting, say 4, and then mma complains, > becuase it is as if I have written > D[ f[4], 4 ] <--- the second argument here is NOT a symbol any more. > So, is there a way to resolve this? Either use immediate assignment, as above, and then Plot[fd[z], {z, -8, 8}]; works without problem or Evaluate the argument of Plot: Plot[Evaluate[D[ f[z] , z ]], {z,-8,8}]; You can also do Plot[Evaluate[f'[z]], {z,-8,8}]; which is a little more elegant. 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@physics.uwa.edu.au AUSTRALIA http://physics.uwa.edu.au/~paul === Subject: Re: Revising scholarly publication / was Re: Journals and my papers > exported to rtf from maple output. And pasted into the file. > with Latex when you have a long complicated files). You are really doing it the wrong (and very arcane) way. There are much better ways to do this. one option: Use Scientific workplace for example. It has a powerfull GUI front end for entering as complicated equations as you want, but it still generate Latex code as output, and you can compile to PDF and also generate HTML all from the same source. This way you get the best of both world, output in latex, and at the same time not having to typeset the equations in direct latex commands (which can be hard if you are not used to it). http://www.sciword.demon.co.uk/demodisk.htm http://www.mackichan.com/index.html?nmn.html~mainFrame a free trial version: http://www.mackichan.com/licensing.net/dnloadreq.aspx more decription: http://www.mackichan.com/index.html?products/swp.html~mainFrame another nice thing about SW is that you can do the computation right from inside the document (it has MuPad build into it). Or if you do not want a commercial product, you can look into lyx, http://www.lyx.org/ this is a screen shot http://www.lyx.org/lyx_screen.gif Either way, there are better options that writing mathematics papers in word. Steve === Subject: Basti: Solve Just One Equation With Your New Methods Basti: solve x^5+5x+4=0 with your new 21st century methods. Caesar Garcia === Subject: Re: Basti: Solve Just One Equation With Your New Methods > Basti: solve x^5+5x+4=0 with your new 21st century methods. > Caesar Garcia Ceasar I know Basti won't be able to do it after only 20 years effort so I ran it through MathCAD in about one minute, including having to look up how to use the polyroots function. To 3 dp the answers are: x = -0.841 +/- 1.140i, -0.752 & 1.217 +/- 1.082i === Subject: Re: Basti: Solve Just One Equation With Your New Methods > Basti: solve x^5+5x+4=0 with your new 21st century methods. > Caesar Garcia > Ceasar > I know Basti won't be able to do it after only 20 years effort so I ran it > through MathCAD in about one minute, including having to look up how to use > the polyroots function. To 3 dp the answers are: > x = -0.841 +/- 1.140i, -0.752 & 1.217 +/- 1.082i Even easier: Just type in the equation, select x in the equation, and choose Solve from the Symbolics menu. === Subject: [Maple] plotting second order differential equation Here's my problem: I've got a surface with following parametrisation: F(u,v) = (u,y(u)cos(v),y(u)sin(v)) The y(u)-function is a solution of the following differential equation: 2*k*(y)^2*(1+(y')^2)^3 = y^2*(y'')^2 + (1 + (y')^2)^2 - y' is the first derivative of y - initial conditions: y(0) = 0, y'(0) = 1 - k is just a constant real number I basicly work on differential geometry and algebraic geometry and I don't really know how to use Maple in an efficient way to solve my problem, so I hope someone can provide me the maple-code (with some explanations if possible) giving 1) a solution for the DE (although this is not really required) ! 2) the surface plots for the possible solutions of the DE (I really need these) === Subject: Re: QUINTIC EQUATION .89´[Thorn]Cadenhad, Young, and Runge showed in 1885 that all irreducible Solvable quintics with Coefficients of x^4, x^3, and x^2 missing have The following form (1+v^2)*x^5+5u^4*(4v+3)*x +4u^5(2v+1)(4v+3) Where u and v are rational How the roots can be calculated in a radical form.89´Ø I do not think that it is easy to calculate the roots by algebraic methods. My methods of differential equations will eventually solve many of them. Look at this thread and the similar ones (in Math Froum): http://mathforum.org/epigone/sci.math.symbolic/velvelskil/w1tdyk2sjnc7@for um.mathforum.com With the dynamic methods of class polynomials we will shift the problem into one of the members of a class of higher orders and solve them. Thus once my papers on class polynomials are published more comments about these issues will be provided. Also please provide the sources of the above theorem. I hope this is satisfactory. Dr.Mehran Basti === Subject: hooklength product of a partition by support1.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) id i4BLiYO23108; Is there a Maple program which gives the product of the hooklengths corresponding to a partition? Emeric