The recipe is quite simple to understand looking at an example (and it is understood best by having paper and pencil to follow it): f:= x -> x^2 the parabola with its inverse g:= y -> sqrt(y). Say you want the integral of g over 0 ... 2, which (here) is the area between the graph and its horizontal axis. That is the same as the area of the rectangle minus the area between the graph of g and the vertical axis, where the rectangle has corners 0, 2 and g(0)= f^(-1)(0) and g(2)= f^(-1)(2). Now recall the geometric interpretation of the compositional inverse of a function: it is reflection at the diagonal.

I've done a proc to produce a list of compound Poisson random variables as below, but it's not fast enough. I suspect there are better ways to do the same. Comments and solutions welcome! with(Statistics): FFFF := proc (g) local i, x, y, S; for i to g do x[i] := floor(convert(Sample(RandomVariable(Poisson(1)), 1), `+`)); if 0

Does anyone know how to get the openmaple api to compile in the presence of the package com.webobjects .foundation?

Just a friendly reminder, Regards, Introduction to Maple 11 Tuesday, January 8, 2008 2:00 pm EST. Register here. In this one-hour demonstration and Q & A forum you will learn about Maple 11’s smart-document user interface, enhanced mathematical power, and increased connectivity to other tools; all of which will dramatically improve your mathematical and technical problem-solving capabilities. Introduction to Maple T.A. 3.0 Tuesday, January 15, 2008 2:00 pm EST. Register here. Focusing on ease of use, this release contains an enriched authoring environment, a brand-new Gradebook, and additional authentication and administration features.

Have you ever plotted a function in Maple and then found that the range you plotted it on wasn't really what you wanted? You can always re-execute the command, of course, but that means working out exactly what the range is for that interesting feature you want to investigate, and if you've made changes to the plot those will be lost. However Maple has the ability to zoom in on a plot interactively, without re-executing the command. The Axis Properties dialog lets you change the range numerically, but you can also do so using the mouse. Go to the plot toolbar and click on the Scale plot axes button (it looks like a red ball with an arrow). If you have an animation you will need to click on the word "plot" above the toolbar to switch from animation to plot toolbar. Now put the mouse in the middle of the plot and drag it. Dragging it down will zoom out, increasing the range; dragging it up will zoom in. The Translate plot axes button lets you 'pan' i.e. move the centre of the axis ranges without changing the range size.

This isn't specifically Maple-related; but mathematics-related; related to Linear Algebra and Modern Algebra. While reviewing Linear Algebra; I ran across the concept of "Similar Matrices"; which are defined as: if A,B are nxn matrices and there exists invertible nxn matrix P such that P^(-1)*A*P = B then A is similar to B The payoff was: if A, B are similar then they "have the same eigenvalues" (the characteristic equation is same for both A and B). (Here we are talking about the group of invertible nxn matrices, with operation matrix multiplication) --

The command "latex(expression)" attempts to generate LaTeX commands that will recreate the expression in LaTeX. For example; latex(%) will try to generate LaTeX commands to recreate the last output from Maple. Let's say I had just entered the Maple command to display an integral; for example: Int(Int(Int(rho^2*sin(phi),rho=sec(phi)..5*sec(phi)),phi=Pi/6..Pi/3),theta=0..2*Pi); If I would like to put that same integral in a LaTeX document; I could enter the following command: latex(%); Which, in Maple 9, returned: \int _{0}^{2\,\pi }\!\int _{1/6\,\pi }^{1/3\,\pi }\!\int _{\sec

There's an interesting set of posts on comp.soft-sys.math.maple about post-processing .eps plot output from Maple. Here's a link via Google Groups. The author's ideas revolve mostly about processing tickmarks and subtickmarks and replacing them with symbols. The claim is made that it's harder (or impossible) to do some things in Maple for .eps output that are possible in Mathematica or Matlab. I haven't yet tried or looked hard at the posted code, or verified the claim.

It seems to me that I found a tip (I am a beginning user) In running these three commands in Maple 10, one gets: > sum(1/(n^4+1), n = -infinity .. infinity) sum(1/(n^4+1), n = -infinity .. infinity) > sum(1/(n^4+1), n = 0 .. infinity) 1/4*(Sum(_alpha*Psi(-_alpha), _alpha = RootOf(_Z^4+1))) > sum(1/(n^4+1), n = -infinity .. infinity) 0 The last answer is obviously wrong. In other similar experiments, Maple gives the answer -infinity to the last expression, which is also wrong. Could somebody comment on this phenomenon? Many thanks in advance.

Hello, I have a question concerning PDEs with initial / boundary conditions. Now, I am trying to solve this PDE. The general solution to my PDE is achieved by: governing equation : the homogeneous diffusion equation is > PDE := diff(c(x,t),t)=diff(c(x,t),x,x); the boundary condition are > BC1 := c(0,t)=0; > BC2 := c(0,L)=1; the initial condition is > IC := c(x,t)=1; I want to solve above equation by using maple software(Currently I am using Maple 10). In this case I want to find the final expression. If you have any idea to lead this problem using this software, please help me help.

Usually exporting from classic interface as HTML works quite well (ok, not all the finer things, but with good (!) graphics and it is painless). Now I want to hide input (for readers not used to Maple that might be better), but with M11.02 the input is exported anyway. Any workaround (except using an editor for the HTML result) ?

Inspired by my own post The art of linking, I here bring an expanded version (I hope that it does not appear too self-centred to do so): You can link to other parts of MaplePrimes, or to external webpages, using the HTML tag a with its associated attribute href. This tag and its attribute you may enter by pressing the link-image  (please disregard the black background), which is located above the area where you enter your text, the result being <a href="http://"> The part between the two "'s is where the address of your link, the socalled URL (Uniform Resource Locator) must be inserted. Below, four typical link situations are treated:

• Linking to a thread: Taking as an example the thread in which the above post appears, you could write (for long URL's, as this one, use copy-paste to avoid typos) <a href="http://www.mapleprimes.com/forum/why-does-evalb-evalf-10-0-evalf-10-0-float-1-0-30-false">The other thread</a> which would appear on the screen as The other thread.
• Linking to a specific post: Each post in MaplePrimes has its own unique ID. It can be found by placing the mouse over the link email this comment of the post to which you want to link, and then reading of a five-digit number at the end of the line at the lower left of your screen (in Microsoft Internet Explorer). A link to that post is then created by appending to the URL of the thread itself the following code: #comment-....., where for ..... the five-digit ID has to be inserted. It was William Spaetzel who originally told me this. Taking as an example the above post, which has the unique ID 11566, you could write <a href="http://www.mapleprimes.com/forum/why-does-evalb-evalf-10-0-evalf-10-0-float-1-0-30-false#comment-11566">The other post</a> which would appear on the screen as The other post.
• Linking to or showing a picture: First of all you have to upload your picture using my files under Navigation. Having done so you can copy-paste the text in the column Download Link Code. This text contains both the HTML a and image tags. You can then choose to keep the full text, thereby having a clickable image (a link to the image), or you can manually strip away all a tags (remember the ends also) thereby having a non-clickable picture, as I have above.
• Linking to an external web page: Taking Maplesoft as an example, you could write <a href="http://www.maplesoft.com/">Maplesoft</a> which would appear on the screen as Maplesoft. The part target='_new' has been automatically inserted by the MaplePrimes system (click on Input format, which is located below the input text area, to see the various input formats), and so it need/should not be entered manually.

Inspired by the post Re: the physics package I decided to have a closer look at the function FeynmanDiagrams. As the Lagrangian I thought I might as well take the QED Lagrangian for a massless spinor field Q[i](X) coupled to an external electromagnetic field A[mu](X):

restart:
with(Physics):
Setup(advanced):
L_QED :=
   +Dagger(Q[i](X)) * Dgamma[4] * Dgamma[mu][i,j] * I * diff(Q[j](X),X[mu])
   +Dagger(Q[i](X)) * Dgamma[4] * Dgamma[mu][i,j] * e * A[mu](X) * (Q[j](X));

So what is the best way to put a "link" from one place in a maple document to another. So that someone can jump quickly when clicked? Thanks!

Maple 11 has been working flawlessly for me under Mac OS X Leopard, with both updated. However, while the screen output appears to be fine, the Times New Roman (and other?) fonts seem to disappear and are replaced by a sans serif font (like Helvetica or Geneva). This occurs whether I send the output to a postscript laser printer (HP 2200) or to a non-postscript inkjet (HP 5550). I vaguely remember having a similar problem years ago, i.e., prior to Mac OS X. Has anyone else encountered this problem? Has anyone who encountered this identified a solution? So far, I'm stuck exporting my resu