Coon's patch defines a patch from 4 curves forming a chain. 4-examples to Coon's patch are given following worksheet. Boundary curves in the examples are constructed by parametric cubic curves (in Bezier and Hermite form). First example is in 3D and comparable to parametric bicubic surface. Rest of examples are in 2D (abstract surface) which can be described shortly as:

• 2D Example#1: 4 circular-arc like curves are combined by Coon's patch to form a circular-like region

I have always preferred the notation  for the derivative of

My father’s first car when our family moved to North America was a 1970 Buick Skylark sedan, and the color was a majestic deep green. I was seven years old at the time and this was my first experience with a green car. It’s ironic that my life in North America started with a green car and has come full circle with green cars all over the place as far as my job is concerned. But of course, today’s green car is really about highly fuel efficient cars...

http://www.tiny9.com/u/Math5543

Fun interactive paradox about the MRB constant.

Comes with free Mathematica player.

I notice that a Seach on this site for the word "cipher" fails to show this result as a hit. Why is that?

It is by no means the first time that a keyword Search on Mapleprimes has failed to return a hit for an old comment/post/answer of mine. I'd really like to know why there are so many such misses.

Though Maple provides routines to express integers or floating in different
integer bases the output looks not as nice as I want to have it.

And for example it does not work as expected using the 'simple ways' (while
for hex there is no simple way for floats):

  Digits:=16; # for all the following

  x:=frac(evalf(Pi)):
  x:= x* SFloat(1,-14);
              ...

This post gives equation of stability region of a Runge-Kutta ODE solver (Dormand-Prince45) as implicit domain equation and ODE-IVP.

Contents are:

• Runge-Kutta solver is implemented
• Solver is applied to test equation and growth factor is obtained
• Stability regions are defined by separating hyperplane (GF=growth factor=1)
• Stability regions are plotted by bruteforce approach (implicitplot)
• Boundary of stability regions...

Hello.

I was thinking about how I have used Maple for making animations. Thinking about it, I remembered an animation that I made to motivate the students of a calculus course. With this animation, I was searching to show the students the power of Maple.

I would like to see other animations for getting new and interesting ideas to show the students.

If you want to upload some animations, we could do a funny post with many animations.

Maple uses the LGPL licensed GMP as a support library for doing large integer and high precision float computations. There exists is a later version of GMP than was bundled and shipped in Maple 14.x. A natural question is whether it would improve Maple's performance. Another question is whether it can be used within Maple 14.

The upload utility does not allow extension .mpl, which is ubiquitous for Maple script files.  I could change the extension to .txt, but that is annoying (I never name Maple script files .txt).  As a workaround I can and do zip the file.

When mucking around with my Maple setup, I occasionally find it useful to check various kernelopts settings.  To simplify this task, I wrote the simple kerneloptsall procedure, which prints all the (useful) values of kernelopts:

(**) kerneloptsall();
ASSERT                    = false
assertlevel               = 0

Using the Open Maple application program interface (API), the ExternalCalling module, a C compiler, and some basic understanding of the Maple data structure format, you can create Maple utilities that run nearly as fast as Maple builtin procedures.

To show how this is done, I will start with a simple example and then proceed to a slightly more complex procedure that improves ?ListTools[SearchAll]

Read the abstract for this medical journal. It describes "Tai's Model" for determining the area underneath a curve. Apparently the article has received 75 citations.

I am unable to access the Constrained Optimization file from Maplesoft application center

http://www.maplesoft.com/applications/view.aspx?SID=6818 

Attempting to download file is not working.  What happened to it?  Can it be fixed?

I will use this post for a list of conclusions drawn from MRB constant N and the many similar approximations that I have found. 

Let x= MRB Constant.   Each approximation is followed by a maple input so you can verify these approximations.