MaplePrimes Posts

MaplePrimes Posts are for sharing your experiences, techniques and opinions about Maple, MapleSim and related products, as well as general interests in math and computing.

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  • I found some comments in my blog written in inappropriate tone and style and asked the site administrator to move them from my blog to this person's blog who posted them. However, my repeated requests were rejected. A blog is not a forum where everybody's posts are appropriate. A blog is a personal place on the web, something like a part of your home. And you can choose whom to invite to your home and who is not desirable - that is a standard policy regarding blogs, I think. Also, if somebody wouldn't like to see my comments in his/her blog, I would be happy to put them in my blog and not in that person's blog who objects to them.
    We want to know what Waterloo has done about using full 64 bit performance in VISTA and multicore and parallel computing. Pros, please tell us; we want our supercomputer abilities now!
    A few years ago I saw somewhere in a math forum a brain-teaser type problem which I'm about to present. I wasn't able to solve it at the time. I haven't been able to find the original forum, so I don't know whether or not my answer is right. I do know that I could never have attacked the problem without MAPLE. We have a cube of edge a and a drill bit of diameter b. We drill one hole from the center of the front face to the center of the back face, and another from the center of the right face to the center of the left. What is the total volume of material removed? I get (Pi*(b^2)*a)/2 - ((2/3)*b^3) Am I right?
    Is there a way to save your completed, final maple documents as a PDF ? Right now I'm printing them out and scanning them in order have a soft copy of my documents. v/r, Dan
    The very first 2 posts on MaplePrimes (first, second) show up on the last page with entries on recent posts. Today (Dec. 6, 2006), that happens to be page 63, although the last icon zaps one further to an empty page (another bug?). Anyways, it is interesting to see that those 2 posts were done 36 years and 49 weeks ago. Gotta love how MaplePrimes seriously pre-dates Maple itself!
    I wonder if someone out there would help me understand the inner workings of MAPLE as indicated by the following: MAPLE has no trouble with int(sqrt(1-x^2)-x1,x=x1..sqrt(1-x1^2)); nor with this f1:=x->sqrt(1-x^2)-x1:int(f1(x),x=x1..sqrt(1-x1^2)); this one works too int(sqrt(r^2-x^2)-x1,x=x1..sqrt(r^2-x1^2)) assuming r>0,x1>0,r>x1; but for some reason not this one f2:=x->sqrt(r^2-x^2)-x1:int(f2(x),x=x1..sqrt(r^2-x1^2)) assuming r>0,x1>0,r>x1; Curiously, this works gg:=x->sqrt(r^2-x^2)-x1:int(gg(x),x):z:=unapply(%,x):z(sqrt(r^2-x1^2))-z(x1)
    Playing with numerics for the hypergeometric function 2F1 i stumbled into the following exactness stuff, where lots of digits are lost and one needs to increase working precision quite a lot to get a good answer: f1 and f2 result from evaluating ugly, but usual transcendent functions, f3 comes through high precision and f0 is the limiting case.
      restart;
      
      hypergeom([1,2+epsilon],[3],z): 
      '%' = simplify(convert(%,StandardFunctions));
      theSol1:=rhs(%): 
      
      theSol1 = -2*(z*(1-z)^epsilon*epsilon-1+(1-z)^epsilon)/
        z^2/((1-z)^epsilon)/epsilon/(1+epsilon);
      is(%);
    
    Here is my problem: #1 > plot([fx,x+6],x=-20..20,y=-15..20,color=red, thickness=2); Warning, unable to evaluate 1 of the 2 functions to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct graph a-e) > fx:=((x+2)^3)/((x^2)-1); equation
    Is anyone here working on any of the millenium prize problems ? If so, or if you know of any efforts on one of these problems, do you know if Maple would be of any use ? v/r, dc
    Is there a privacy statement somewhere on this site that one can read ? I was just wondering about the rights of users of Mapleprimes with respect to ownership of intellectual property after it is publicly released. For example, can Maplesoft and/or Mapleprimes use anything from the Mapleprimes site without the permission of the original author ? Was just wondering, v/r,
    Sometimes when I reply to a forum posting, or look at some forum topics, the text box that would contain the body of the posting is misaligned from above formatting options, e.g. "I, B, spellcheck etc". It's pushed more to the right side of the screen, even after I scroll completely to the right. Thanks, Dan
    Does anyone know how one would go about creating their own package ? thanks, Dan
    A couple of years ago I did the following work on Trigonometric integration. Does anyone have any improvements to add to it? I would like to see it expanded to all complex numbers. I'll soon be working on it again. Download 565_Pre_exp[1].doc
    View file details My Desire
    Maple, Mathematica, and many other CAS define indefinite integral up to piecewise constants. That means, in particular, that the integral of a continuous function can be discontinuous. In many cases that can be easily fixed, such as for integrals involving floor(x) and frac(x). However, it has not been done neither in Maple nor in Mathematica. Here is another example, suggested by David W. Cantrell
    int(1/(2+cos(x)),x);
    
                   2/3*3^(1/2)*arctan(1/3*tan(1/2*x)*3^(1/2))
    My Maple 10 software won't load on my computer. When i try to open it, the splash screen shows and stays for about a minute and then closes without opening maple at all. No error messages or anything, but maplew.exe shows in my windows task manager processes list. I'm running windows XP media center edition, core2duo 2.16, 2GB 667 ram, 100gig 7200. I'd appreciate any help i can get, thanks for your replies.
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