Here is an interesting look at the tetrations (infinitely repeating powers) of some fractions.

As a side note, we see that infinitely repeating powers of 1/4 could equal one product of repeating powers of 1/16

. Download 565_multi powers 2.mw

http://www.mapleprimes.com/files/565_multi%20powers%202.mw

In analogy with something like

type(<1,2>,'Vector'(2,posint));

it would have been nice if something like

type({1,2},'set'(2,posint));
type([1,2],'list'(2,posint));

was possible. How can one, using type, check for a certain number of elements in sets and lists?

A few weeks ago I mentioned the ncrunch comparison of "mathematical programs for data analysis" in a comment in another thread.  There is now a new, 5th release of that review. The systems reviewed are:

• GAUSS
• Maple
• Mathematica
• Matlab
• O-Matrix
• Ox
• SciLab

The review is skewed towards statistical computation and data manipulation, but it includes several interesting comparisons of the major computer algebra systems (CAS).

There is a comparative performance section, and the worksheets used for that benchmarking are available for download. Here is the Maple worksheet, which was used with Maple 11.

In connection with tensors, I would like to be able to treat arbitrary symmetries (positive permutations) and antisymmetries (negative permutations) of the entries of an Array.

An example is the Riemannian curvature tensor which has the following positive and negative permutations:

This forum question led to a discussion of a bitwise magazine review that compared Mathematica 5.2 and Maple 10. In that review the author struggled to get the following numeric integral to compute accurately and quickly in Maple.

evalf(Int(BesselJ(0, 50001*x)*x*exp(I*(355*x^2*1/2)), x = .35 .. 1));

Below, I reproduce an attempt at computing an accurate result quickly in Maple. I'm copying it here because that thread got quite long and messy.

My humble work - CubicRubik Maplet. Interactive Game of ordering CubicRubik.

To run it - download library from http://www.mapleprimes.com/files/8024_CubicRubik.mla/a>

Maybe I'm confused, but shouldn't these two operations yield the same result:

int(-1/P-(1/10)/(.9*P+900), P)

int(-1/P-1/(10*(.9*P+900)), P)

What could be done with a module whose ModuleLoad routine redefined itself?

Could such a routine do some action, and then cover its tracks effectively by overwriting itself?

Would there be any way to use march() to examine the .mla archive member, in which that ModuleLoad routine is stored, without accessing the name of the module? Presumably any invocation of the actual module name would result in its being accessed from the library and hence trigger its ModuleLoad routine.

In his book UNKNOWN QUANTITY, on page 257, John Derbyshire presents the 4th degree polynomial

4*(x^2+y^2-2*x)^2+((x^2-y^2)(x-1))(2*x-3) = 0

which plots as the beautiful "Ampersand Curve"

When I tried to do this in Maple 11, with a 2D Implicit Plot, the plot was broken, discontinuous, and different when I tried again.

Is this beyond Maple's capability, or can someone suggest what I may have done inadvertantly incorrect?

In working out the procedure isDeeplyAlgebraic in the post Deeply algebraic, I was trying to use something like `and` and `or`, analogously to `+`, `*`, `.`, etc.

There are some routines in Maple's library which, when called the first time, redefine themselves.

One plausible explanation for this is that the new versions are session dependent (external calls, say) while also more efficient to call (repeatedly).

For example, consider StringTools:-Join which seems typical of that package. First, consider it before it's been called at all.

> restart:
> showstat(StringTools:-Join);
 
StringTools:-Join := proc(...

Hi! I'm a Maple Newbie trying to use the Maple Training Videos.

They all work fine except for two, under Algebra: "Solving Equations" and "Working with Matrices". Both start OK, then die a few seconds in.

I'm using Kubuntu Linux, but I really don't think that that is the problem, since all the other videos work fine.

Could someone try these for me to verify if they work for you?

Thanks in advance for any help.

Hey.

If you go to url, http://www.fcet.staffs.ac.uk/blb1/FirstYearEng.html, you shall see four maple worksheets in XML format.

My issues is that i can open them all but the last one, Geometry?

Can any one suggest a reason why i keep getting an error when trying to open this sheet? Does it do if for you?

If i can be cheaky, If some one can open it, can they save it in a Maple worksheet and send it over to me please?

Thanks for any help

they seem to have disappeared!

Something strange happens when you try to plot this:

implicitplot([y = 1/18*(3*x+1)^2/x], x = 1/4 .. 1/2, y = 0..10);

If you change the y range so that it is, say 1, the wabbles in the function become smaller, but they are still their.

Why the wables?  I am using Maple 9.