This morning, I saw the announcement of a paper on the ArXiv, titled Inequalities for Integer and Fractional Parts. I found the results very pretty, even though many of them are rather weird. But then it struck me: this ought to be useful. In fact, it ought to be useful when doing experimental mathematics, something for which Maple is rather helpful. So why the blog post? Because of the next realization: I don't really know how I would 'integrate' this knowledge into Maple. Whatever ideas I come up with to do this seem less than half-baked.

In my work developing Maplets for Calculus, there are many instances when I want to determine that a function is monotone (decreasing or increasing or non-decreasing or non-increasing) on an interval. If I can do one of these, I can do them all. So, let's focus on decreasing. I have no problem assuming f is continuous and differentiable on the interval. The interval could be unbounded, and I am not terribly concerned about endpoints (at least now). Given a function f, how would you use Maple to determine that f is decreasing on an interval (possibly unbounded)?

Hi, I have a small problem. I want to export code to Matlab. The code is mostly a long expression with some named constants. The constants are set to some values in Maple and in Maple only the x-variables are therefore unknown in the expression. However, in the exported code, some of the constants are not replaced by their values. Does someone have a clue what this depends on? Best regards Johan

Suppose the adjacency matrix M is given. How we can get the graph of it from Maple? Can we draw the graph now? Thanx.

Can anyone explain why Maple has so much trouble deciding if sqrt(2^x+x^4) is continuous for k>=1?

f := 2^x+x^4;
                                      x    4
                               f :=  2  + x 
iscont( f, x=1..infinity );
                                    true
iscont( sqrt(f), x=1..infinity );
                                    FAIL
iscont( sqrt(f), x=1..100 );
                                    FAIL
solve( f>0, x );
                                      x

Accoring to the online help for solve,inequal, the last result means Maple understands that f>0 for all real values of x. So, given all of this, what is the problem deciding that sqrt(f) is continuous for x>=1? OR, is this a bug?

Origami and thales theorem See this.

Hi again, Long time, no post but thats not an indicator of not stopping by and reading nearly every day. Now I'm looking for some advice on a bug. I'm going to be sending this MapleSoft too but I thought perhaps someone here may have some insight to its solution. Thank, Tim Bug on SuSE 10.3 I'm unable to run Maple 11 with the Java interface since upgrading to SuSE 10.3 Here are the errors messages: tim@linux-g0yu:~/maple11/bin> ./xmaple java: xcb_xlib.c:52: xcb_xlib_unlock: Assertion `c->xlib.lock' failed. /home/tim/maple11/bin/maple: line 446: 1881 Aborted '/home/tim/maple11/jre.IBM_INTEL_LINUX/bin/java' -Xmx400m -cp '/home/tim/maple11/java/xercesImpl.jar:/home/tim/maple11/java/xmlParserAPIs.jar

is there any way to do quantum field theory on maple 11 even if it means to have an add on package? answer will be helpful

In a previous blog entry I described a novel method, proposed by Robert Israel, for sorting a list of lists of small positive integers, specifically those less than 256. It is significantly faster than the usual method. Roman Pearce responded with a method for rapidly sorting listlists of integers (a listlist is a list of sublists with identical number of elements), regardless of size. While not as fast as Robert's technique, it, too, is significantly faster than the usual method and has no restriction on integer size.

As a direct result of the tab indentation nuisance reported in the three threads

• Erratic formatting behaviour using tabbing
• Please give me some feedback
• Usability

today I have rolled back my system from Maple 11 to Maple 9.5: I have spend quite some time today manually going through all the Maple documents which have been contaminated by loads and loads of XML codes which Maple 11 produces.

Hi, I was wondering, how the Boolean matrices can be operated (multiplied, added etc) in Maple? Can we find their eigenvalues etc? Your reply would do great help to me. Many Thanks. Athar Kharal

My apologies if this has been posted before, but a quick search didn't turn it up. I'd like to have a simple, "clickable" way, preferably in the "PlotBuilder", to shade in the region *between* two 2D curves or two 3D surfaces. I know that there are packages to do this, but I'd like my students to be able to do it without learning any new commands or loading any new packages --- it's just too useful when you are teaching calculus. Thanks for listening! ----Josh

I have been unable to send a MaplePrimes post by e-mail. I click the e-mail link, enter an e-mail address (my own, for testing), confirm that there is a link to be sent, enter something in the message body, and press Send Message. A message arrives in my inbox, but it does not contain the post I was trying to send. Here is the text version of the body of the e-mail message I received from MaplePrimes: I have confirmed that this is repeatable (at least twice in the past day).

So I am trying to install Maple on OSX 10.5 and I am getting this error: Cannot launch Java application Uncaught exception in main method: java.lang.NumberFormatException: For input string: "TipCount" Any suggestions? I have a feeling it is not a problem with 10.5 but just a Java problem in general. Any help would be greatly appreciated! Thanks! Brandon

I was recently asked what I thought of using Approximate Entropy in financial trading. I was not much familiar with ApEn; so I experimented a little. A natural thing to do is consider long bit strings that are suspected of being able to (but not known to) pass general tests for randomness. Examples include leading bits of Pi, sqrt(2), etc. So I began with the following. PiFive:=evalf[350000](Pi): bits:=convert(PiFive,binary,1000000): (Such things are helpful in various applications, not just studying ApEn.)