## Strange Attractors

by: Maple
Hi! I'm ScasByte welcome to my MaplePrime blog.

If you are interested in 3d Strange Attractors but you don't know how to create it here I can show you how, create Strange Attractor is actually very easy, if you are new to Maple then you might this very useful.
Here is a link to the first 3d Strange Attractor(the most simple of all) a PickOver.

Here is the code to generate a PickOver:

## Interesting shortcomings in define()

by: Maple
Earlier today, I was re-reading an old post when I was inspired. The post asked how one could use typesetting rules to make the call of a procedure typeset as a binary operation. The example used in the post was something along the lines of: `myproc(a,b);` becomes `a <symbol> b;` Inspired by a response to that post, I started looking at the help page for the `define` command and doing some testing in Maple. I was ready to make a reply to that post, when I stumbled upon a mind-boggling error. In the time it's taken me to track down that error (and run various errands), the original post has vanished from my view. Perhaps it still exists somewhere, but for the life of me, I cannot find it; therefore, I post to the next most appropriate place to describe and discuss this shortcoming: This blog.

## Exporting dxf files to TurboCad...

Has anyone tried to export a 3D plot from Maple 10 to TurboCad 10.5 or 11.2? When I try this, the dxf file is produced, but when I open it in TurboCad, only a blank drawing is produced. Am I missing something? Don Ritchie

## Plotting an Equation with Recurrsive Components...

I'm faced with the problem of trying to plot a graph of the form, for values of b against a. a^2:= (b^2*c^2) + (a*d^2)/(a-e^2); Unfortunately, when I try and enter the above, Maple gives an error and tells me when that the equation is recurrsive. If I re-arrange the equation and then try and get an equation with a purely on one side, using the isolate command, Maple cannot isolate a. The re-arranged equation is of the from a^2 - a*e + (b^2*c^2*e)/a - d^2 - b^2*c^2 = 0; Perhaps I have re-arranged the equation incorrectly.

## Math code generation in C/C++? Can Maple or Matlab...

Hi all, I am asking this for my engineering friend. We've posted on Maple newsgroup and we just heard that here is another place where Maple experts appear, so we posted it again here to seek more advice -- because we have a struggling problem which annoyed us for several days already! Thank you! ---------------- Here is what I want to compute: t22 := Re((1/2*(a^2+2*sigma2*(c+g*(ee+i*v)))^(1/2)*exp(.5*a*t)/ (1/2*(a^2+2*sigma2*(c+g*(ee+i*v)))^(1/2)*cosh(1/2*(a^2+2*sigma2*(c +g*(ee+i*v)))^(1/2)*t)+.5*a*sinh(1/2*(a^2+2*sigma2*(c+g*(ee +i*v)))^(1/2)*t)))^(2*a*xbar/sigma2)) Assuming all variables are real and positive...

## How do I find the Real and Imaginary parts of the ...

Let's say you want to compute Re(Gamma(a+b*I)) where a and b are real. Is there a way to obtain a good form of the real part and imaginary part?

## How do I generate complex images?...

Hi, I need help!. I'm plotting 3d Strange Attractors(a complex dinamical system), in order to get an acceptable result I need to create about 500,000 points in a third dimentional plot, the problem is that it takes a long time to generate(sometimes hours and even days), so... Here is an Strange Attractor with only 2000 points took 20 seconds. ¿What can I do to generate such plots in a reasonable time? ¿Is there a way to comunicate Maple with OpenGl(or other fast graphical engine)? Suggestion are welcome! Thanks.

## Implicit multiplication

by: Maple
Here's a tip for people new to Maple or to 2-D input: always use a space for implied multiplication. 2-D math input in Maple allows for implicit multiplication, which is writing a multiplication operation without an explicit multiplication operator. An example is x y. The space is not always required in cases where there is no ambiguity. However, it is highly recommended that you include it. An example that catches many new users (and some experienced ones as well) is s(t+u). This does not mean s times t+u, but the function s applied to t+u

## Compressed Worksheets and License Files...

I recently purchased a Maple e-book, and I noticed a few lovely features of which I would like to take advantage. The first is the ability to create a compressed worksheet. There seems to be a painfully simple mechanism behind compressing and uncompressing the worksheet, since when the worksheet is opened with a text editor, the first characters are (if I recall correctly) "<compressedworksheet". I cannot find any documentation inside of Maple detailing the compression and uncompression of files. Thus, I ask you, Maplesoft: How can I compress my worksheet files in this manner? The second feature of which I would like to take advantage is the use of a license file. Looking at the XML code of the compressed worksheet, it seems that one only needs to make reference to the location of a license file in order for Maple to look for the license file. The license file itself is very short--only about 4 lines--which makes me assume that the license file checking mechanism is similarly simple. Again, Maplesoft: How can I make and use my own .dat "license" files?

## Set multiple lines of a MathContainer component...

I'm trying to create an interactive tutorial for students. Let's say, for the sake of example, that I want to show step by step how to complete the square. First, the user enters an expression into a text field or math container. Then, when the user clicks a button, Maple takes the expression and outputs multiple lines detailing the steps in completing the square. Preferably, all of these steps would be shown in the same math container. I can find no easy and direct way of setting the value of a math container to have multiple lines of math. I'm continuing to search, but does anyone know of a way?

## Font...

How do I change the font permanently so that every time I open a new worksheet I get, say, Arial instead of Times New Roman? Thanks!

## Identifying identical rows in a matrix...

I have a problem where I am performing some matrix operations and the resulting matrix is of rank n-1, where n is the order of the matrix. I want to solve M*x=x, where M is the resulting matrix. Since teh order of M is n-1, I keep getting zero values for all but two of the variables. What is the best way to get around this problem? I am a Maple novice. Please let me know how to do it in Maple. Thanks.