If F is a quadratic function on a n-dimensional vector space,
then F(x) is affine equivalent to one of the following:

  Sum( epsilon[j]*x[j]^2, j=1 ..r  ), 
  Sum( epsilon[j]*x[j]^2, j=1 ..r  ) + alpha, 

The help page ?type/protected states:

The set of protected names in Maple can be computed with select(type, {unames(), anames(anything)}, protected).

However, the result of this computation is "time dependent". I.e. repeated execution of this command produce different sets. E.g. executed in a fresh session:

A modified "elements" of group Package:<a href='http://www.mapleprimes.com/files/1512_elements.txt'>elems</a>
This proc "elems" can not only generate the elements of a permutation group but also show you every element's factors.

As Maplesoft’s Chief Evangelist, I get countless opportunities to present the joys of Maple and our other products to people. Often, I’m the model corporate citizen and make sure I stay true to all of the key messaging that our Marketing folks force us to repeat … but if you actually experience one of my live presentations, you’ll notice that I often sneak in a whole slew of personal commentary and anecdotes on my 20 or so years with this technology … often stories that never make it to our official scripts. So as my inaugural blog post, I thought I’d start with what turns my crank when I have to present our products to the world. Here’s my Top 10 list of things that still impresses me to no end …

A little over ten years ago, I was shown a brief demonstration of Maple and I was astounded if not shocked by what it could do and my imagination immediately kicked into overdrive with ideas on how this unique technology could transform the way people work. My imagination has not settled down since.

These are exciting times for Maplesoft. With the introduction of an outstanding new release of Maple and a revolutionary technology MapleSim for modeling and simulation, we’re poised to launch a new generation of innovation and productivity for the engineering and mathematics community.

In this previous post, an example is shown that demonstrates the potential problems that can arise following symbolic conversions such as from sqrt(x^2)  to x^(1/2).

Here x is an unknown symbol. The difficulties include the fact that, while `sqrt` can be smart about simplifying numeric values (eg. integers, rationals) the `^` operator has no such opportunity. Once the conversion from `sqrt`...

This provides a Maple solution to compute the bivariate normal distribution by recursions for numerical inputs. It works even for extreme cases and handles situations, where usual integration with Maple has serious problems (even after reducing to dimension 1), it seems to be reliable and fast and works in 'arbitrary' precision.

To use it call N2_as_sum(1.0, 2.0, 0.8,  200) to compute the BVN for x = 1.0, y = 2.0 and correlation rho = 0.8 with at most 200 recursion steps (it will stop earlier, if no more improvements can be seen).

The calling sequence in ?complex states only the two argument form 'Complex(x, y)', but later in the section "Description", in a bit confusing way, two rules for the single argument form are stated:

I need to do the following. Suppose I have an array, c[ ]. I need to be able to specialize the elements of this array, and then later "clear" the elements, making them indeterminates again. I attempted to do this by creating a temporary holding array

i:='i': for i from 1 to 5 do d[i]:=c[i] end do;
i:='i': for i from 1 to 5 do c[i]:=i end do;
i:='i': for i from 1 to 5 do c[i]:=d[i] end do;
 

I expected and want the output to be

c[0] c[1] c[2] c[3] c[4] c[5] 1 2 3 4 5 c[0] c[1] c[2] c[3] c[4] c[5]

Can posts be input using LateX notation?

If so, what would be the TeX tags or delimiters to enclose the TeX input in?

Thanks,

dc

Here's a little test double loop

for i from 1 to 2 do

for j from 1 to 2 do

A[i,j]:=Binomial[i+j,i];

end do;

end do;

I would like to get ANYTHING to output. I get NOTHING, no matter WHAT variations I make. I can output when the loop is just a SINGLE nest. But, as soon as I embed that nest inside a second nest - NOTHING outputs.

Are there any commands which will allow me to create zero-based arrays in Maple?

I have a linear recursion, in 4 variables,

c[i,j,k,l]

To the members of the MaplePrimes community,

I am posting this message in response to some comments that have been made about Maplesoft’s commitment and involvement in the MaplePrimes community.  Let me assure you that we at Maplesoft take these comments seriously, and I would like to take this opportunity to personally address this issue.