This is to inform you that we are now shipping the newest version of Maple T.A. – Maple T.A. 3.0. Maple T.A. is an easy-to-use web-based system for creating tests and assignments, automatically assessing student responses and performance. It supports complex, free-form entry of mathematical equations and intelligent evaluation of responses, making it ideal for mathematics, science, or any course that requires mathematics. The new edition – Maple T.A. 3.0 – comes with increased flexibility in content creation, an enhanced user interface and improved grading and assessment capabilities

Maplesoft has now posted the 11.01 update for users running Maple 11. You can download the update here . As the website mentions, this update includes improvements in the following areas:

• Differential Equations
• Maplets
• Physics Package updates
• Plot legends
• Vector Calculus

Who is entitled to Maple 11.01? Maple 11.01 is available to all users running Maple 11. If your Help>About Maple 11 dialog from the Standard Interface reads Maple 11.01, then you already have the update and no further action is required.

The recent 11 upgrade states that it has vista compatibility and.. * Maple 11.01 also provides improvements in a variety of areas, including: o Differential Equations o Maplets o Physics Package updates o Plot legends, and o Vector Calculus So is there a way to know exactly what the other enhancements are? Where can I find a web page or changelog that describes the update in more detail. thanks, DG

Dear there, The `if` operator has tortured me for the whole day. Can anybody help? Thanks so much for your time and patience. Michael Chen ======================================================================== > restart; > B11:=x1

I'm running Maple 11 on a Windows XP machine. Should I bother getting the new update for Maple 11, or is this new release not applicable to me ? v/r,

Well, that last blog entry sure generated a lot of discussion! I'm going to move on to something a bit more fun and less controversial: how to generate a 3-D plot of a polyhedron. There are different ways to do this in Maple, depending on how complicated the polyhedron is and what else you want to do with it. I've uploaded a worksheet with a few simple examples. View 86_PolyhedraExample.mw on MapleNet or Download 86_PolyhedraExample.mw
View file details

Besides this one, can anyone suggests any forums for getting help with mathematics? I need one in which I can use Maple to write mathematical expressions in posts. Thanks!

The last point I would make about the dice problem; is to mention a way to graph the probabilities ... as n increases.

Given that the following function determines the probability of all faces being shown when n dice are rolled (from previous work):

> P := n -> 1 - ((add((-1)^(k+1)*binomial(6,k)*(6-k)^n,k=1..5))/(6^n));

Could some one help me to plot this population balance equation ? see the attached file Download 4968_PBE.doc
View file details

I would to present you the problem of the Population balance described in the file linked here: Download 4968_PBE.doc
View file details

Dear all, I calculated the eigenvectors of a unitary matrix with Maple10. (that is, I'm dealing complex vector space) Also, I computed it with C program made by myself. The eigenvalues coincide in two methods up to their order. But eigenvectors are different up to complex phase. Let me say, Let E_M(i) be the i-th eigenvector of the given matrix A calculated by Maple10 and let E_C(j) be the j-th eigenvector of A computed by the C program. Both of them are eigenvectors of A, that is, A&*E_M(i) = lambda(i)*E_M(i) and A&*E_C(i) = lambda(i)*E_C(i) are satisfied. But, dotprod(E_C(i), E_M(j)) != kronecker_delta(i,j).

Let's continue on with the dice example; determining the probability of all faces showing when n dice are thrown.   We estimated this by running a simulation in maple; and comparing the frequency of successes to the total number of experiments.

There is a way to determine the probability without running trials. The problem can be solved combinatorially.

One way to determine the probability of all faces shown; is to determine the the probability that all faces are NOT shown (call this probability B). Then the probability that all faces are shown = 1 - B.

I've been asked: how do I include a mathematical expression in a plot caption without having it evaluate? An example is displaying 2(x+y) in the caption without having it appear as 2x+2y. The easiest way to do this is to create an atomic identifier from the expression in the input line. In the 2-D input line, you'll have plot(..., caption=2(x+y)). Select 2(x+y) and right-click to bring up the context menu. Then go to 2-D Math -> Convert To -> Atomic Identifier. This turns the expression into a single name. Note that it is no longer equivalent to the expression 2(x+y), even though it looks exactly like it.

Let's take another look at the dice rolling example:

Simulate rolling 8 dice 10 times.

roll := rand(1..6);
for i from 1 to 10 do;
dice := ['roll()' $8]; # dice contains 8 random values, each from 1..6
end do;

Let's say you want to check the list "dice" to see if all faces are
represented.

One way to do this is to write a proc which creates an array indexed
1..6; and initialize the array to zero; and then check the dice list ...
incrementing the associated array index for each value in the dice list.
Finally ... check the built array to see if all index values are non-zero.

Does anyone else see the following strange behaviour in the Maple 11 plot engine?

I was acting in a Std GUI Worksheet, not a Document. (I use Maple for 64bit Linux, which may or may not matter.)

1) In this next plot below, a (superfluous?) solid triangle appears. It lies in a xz-parallel plane at y=-1, with vertices (0.0,0.0,0.0), (1.0,-1.0,0.4), and (1.0,-1.0,0.0).

plot3d(sqrt(1-y^2),x=1..2,y=-1..1,colour=red,filled=true,view=[-0..2,-1..1,0..1]);