I have two sets A={a,b,c} and B={w,x,y,z}. I have to make sets like following

{(w,{a,c}), (y,{a,b,c}), (z,{b})}

 How I can know the total number of such sets from A and B?

Maplesoft has just released a collection of new engineering products, including MapleSim 3, the latest version of our physical modeling tool. It includes a new hydraulics library, more electrical machines and improved solvers which expand the scope of models it can handle. It also comes with a new project manager, more diagnostic tools, a 3-D visualization preview feature, and other improvements to the interface which reduce the development time. See What’s New in MapleSim 3 for details.

Maplesoft has just released the Maple 13.02 update. This update includes:

• Platform support: Windows® 7 is officially supported with Maple 13.02
• MATLAB® Connectivity: Improved performance, connectivity extended to MATLAB R2009b, and support for the MATLAB Link on 64-bit Macintosh® Intel® platforms
• Language packs: Expanded support for Traditional Chinese and improved Spanish translation
• Plotting: Improvements to EPS and PDF export and improvements to plotting on Macintosh
• Other enhancements: Improved event handling in dsolve/numeric, better handling of read-only documents on  Mac OS® X 10.6 (Intel), and improved support for multithreading

This blog post does not really have that much to do with Maple a little bit about mathematics though.

I started to play around with www.stumbleupon.com/   and some quite nice things came out from it
 

For example :    www.financialsense.com/editorials/casey/2008/1210.html

 

I have not yet research the accuracy of such made claims but the below charts certainly makes you think....

A leading motorcycle manufacturer has been using MapleSim to model their powertrain, and now they want to include a realistic battery model. This would let them choose batteries and accessories (like starters and alternators) that they can simulate under a variety of operating conditions, along with their powertrain model. The company turned to Maplesoft to help with this modeling exercise and I was put on the task. My background is in circuits so I thought this would be a straightforward project. In my mind batteries were just constant voltage sources that eventually ran out of charge. I was able to find several recent research papers on battery models, and I realized their behavior was much more complicated than a simple voltage source.

 

I noticed that maple's command Transpose can mean two different things:
 

 

ListTools

The Transpose function transposes a list of lists
 

 

LinearAlgebra

The Transpose function computes the transpose of a Matrix, Vector, or scalar.
 

 

 

To highligt this I have selected two examples:

 

 

This first situation may or may not be a bug.

 

restart;

Student[Calculus1][CriticalPoints](x^2, x=-2..2);

interval := -2..2;

Student[Calculus1][CriticalPoints](x^2, x=-2..2);

Student[Calculus1][CriticalPoints](x^2, x=interval);

 

Notice the change in output when the variable "interval" has a value.

The second situation is definitely a big problem:

restart;

ode1:= diff(y(x),x) = y(x)*(y(x)-1)*x;
ode2:= diff(y(x),x) = y(x)*(y(x)-1)*(x-a);

I just published an update to the script that inserts automatic links to the online help. This fixes several issues with the regular expression used to determine when and where to place the links. So now ?PDEtools[diff_table] ?sum,details and ?implicitplot3d all will be linked correctly.

Here is a simple bug:

If I define a function f via

>f:=x->solve(-x*(x+1)+y^(2/x),y);

I can plot(f(x), x=0.2..5) and evaluate f(3) but plot(f,0.2..5) yields an error message ( wrong argument  (f) in plot) and f(1.5) crashes Maple 12–connection to kernel lost.

If I define the function using fsolve or using unapply as in
> g:=unapply(exp((1/2)*ln(x^2+x)*x),x);

I can plot(g,0.2..5) or plot(g(x),x=0.2..5) or evaluate g(1.5) without problems.
 

Any idea whee the bug is?

 

This is something I produced for my Calculus students.  It is based on some actual research in Biology by Larry Dill of Simon Fraser University, showing that the escape response of the Zebra Danio, a small tropical fish, is triggered when the rate of change of the visual angle of a potential predator becomes too large (see ugrad.math.ubc.ca/coursedoc/math102/keshet.notes/chapter11Notes.pdf, section 11.2).
Here's my Maple document.

What are some good 3rd party add-ons for maple? 

Maple Advisor Database?  it's a little dated but I think a nice addition.  or Aladjevs library for Maple 2.2013 ? - what does this really add to Maple that it doesn't already have? 

Any comments on those or some other good suggestions?

(As perhaps many of you do?) I really enjoy the webcomic xkcd. In a fit of silliness I decided to write my latest Maplesoft blog post about velociraptor math... :)  Click here if you're interested.

Stephanie
Maplesoft

I recently came across a Probability and Statistics - Explorations with Maple book by Karian and Tanis.  It mentioned something about a stats package.

It seems that most of the stats package commands are mostly incorporated into newer maple versions. 

However some commands from the stats package seem to be better.  For example

Mean([x,3,1+x])  produces an error with the Statistics package in Maple where using Mean from the Stats package of Karian and Tanis produces a result. 

Hi, i am trying to find cosets of S_3 in Maple. I have done this so far: > restart; > with(group); > S_3 := permgroup(3, {[[1, 2]], [[1, 2, 3]], [[2, 3]], [[1, 3]], [[1, 3, 2]]}); permgroup(3, {[[1, 2]], [[1, 2, 3]], [[2, 3]], [[1, 3]], [[1, 3, 2]]}) > grouporder(S[3], ident); Error, (in group:-grouporder) expecting a permgroup or a grelgroup, but received S[3] > Group order should be 6 (which is 3!) but for some reason it does not work. Also I am getting an error message when I try to find cosets of S_3. > ident := permgroup*(3, {[]}); > cosets(S_3, ident);

If I highlight some text in the first line of a document and then wish to highlight text of the same color on the next line, and if the highlight color touches the one above in any way then a whole block is extended and highlighted for both lines.  

However it seems to be okay if different highlight colors are used.