I saw an image yesterday of some math done similar to how one can write on paper, with each new reformulation shown on the next line, with a down-arrow between each such line. In other words, operations and output moving down the sheet rather than along it to the right.

The first thing that came to mind was: can this be done in Maple with context-menus?

Here is an attempt,

    cm_downwards.mw

We have just released the MapleSim Driveline Component Library. Built with the involvement of several transmission manufacturers, this MapleSim add-on covers all stages in the powertrain, from the engine to the differential, wheels, and road loads, as well as vehicle dynamics. MapleSim and the MapleSim Driveline Component Library make it much easier for transmission manufacturers to reduce power loss through improved designs, resulting in more efficient vehicles.

For...

3D Paper Physical Model

And so with this provocative title, "pushing dsolve to its limits" I want to share some difficulties I've been having in doing just that. I'm looking at a dynamic system of 3 ODEs. The system has a continuum of stationary points along a line. For each point on the line, there exist a stable (center) manifold, also a line, such that the point may be approached from both directions. However, simulating the converging trajectory has proven difficult.

I have simulated as...

MapleNet 15 has just been released. MapleNet 15 brings the power of Maple 15 to your web sites and applications. New features include support for the new interactive data tables and single-click re-execution of documents.  MapleNet 15  also automatically detects when it is being accessed from a mobile device and adapts the display according to the device capabilities. 

You can learn more about MapleNet 15

Most programs will not produce and assign to a large number of global "top-level" names. But it is interesting that the cost associated with such global name assignment is related to the number of entries in libname.

A possible cause of this cost is the need to check whether the name is protected, before assigning.

The following timings were made on 32bit Maple 15 running on Windows 7, on an Intel i7. The set of four timings is...

Just wanted to let everyone know that there is a Maple 15 update available. Maple 15.01 provides:

• Enhancements to MapleCloud security settings
• Improvements to tools supporting multi-process programming on a local grid
• Extended MATLAB® connectivity to include MATLAB® R2011a
• Compatibility with MapleSim 5

To get this update, you can use Tools>Check for Updates from within Maple, or visit for ...

This is more of a blog entry, mostly a note to myself.

I wanted to generate a list of points on the surface of a deformed sphere. It turns out that Robert recently showed how to do that on a unit sphere.

http://www.mapleprimes.com/questions/35962-Limited-Random-Points-Plot-On-A-Surface#comment66936

Adapting his code is straightforward. So here is what I came up with. One proc generates the random points on the surface of the ellipsoid. Another proc generates...

A short remark. This would be a blog entry if those still existed.

I am comparing plot,options.

The style=point option has versatile options for symbols, their sizes, the number of points:

  , 'style' = point
  , 'numpoints' = 50 
  , 'symbol' = solidcircle
  , 'symbolsize' = 8

The ability to color a 3D plot using a color function is geared more for functions of x and y only.

But quite often, the surface or pointwise 3D position of the plot is itself being specified as a height z which is a function of x and y. For the plot3d comand, that's pretty much the way it works (whether using an expression or a procedure).

So, of course, the very same rule that...

for the record, I just discovered that while you can save a worksheet with a name like

mywork,mapleprimes.mw

you cannot open it (with Maple 15, June 2011)

Maple will return an error message like "file mapleprimes.mw could not be found" (swallowing up the "mywork," part of the name)

but if you rename it mywork-mapleprimes.mw

it will work fine.

In other words, do not insert commas in file names.

I do not know/remember if...

Answering to that question, I posted several procedures finding minimal polynomials for the elements of finite fields. The best one was the following,

alias(a=RootOf(T^100+T^97+T^96+T^93+T^91+T^89+T^87+T^86+T^82+T^81+T^71+T^70+T^67+T^61+
T^60+T^57+T^54+T^53+T^52+T^49+T^48+T^45+T^44+T^42+T^39+T^36+T^33+T^32+T^31+T^29+T^28+T^27+
T^26+T^24+T^23+T^22+T^18+T^17+T^16+T^14+T^13+T^12+T^10+T^8+T^7+T^6+T^3+T+1)):

F:=GF(2,100,op(a)):
z:=F:-input(2):

MinPolyGF:=proc(x,y:=_X)
local A, i;
A:=Matrix(100,...

I'm learning to handle the output of pdsolve. It is a module and I'm quite new to that. The objective is to plot the solution for different values of, say, time t, in a fairly systematic way. I'll consign here my progress for reference. Feel free to comment if you have suggestions.

 sol := pdsolve
  ( diff(u(x, t), t) = (1/10)*(diff(u(x, t), x, x))
  , {u(0, t) = 0, u(x, 0) = 1, (D[1](u))(1, t) = 0}
  , numeric
  );

Introduction

The Magma package introduced in Maple 15 includes the command Enumerate. This routine allows you to count, or list, isomorphism class representatives of magmas of a given (small) order satisfying a selection of properties that...