Hi

It's been 1 and 1/2 months since updates for the Maple Physics package have been distributed in the Maplesoft webpage "Maple Physics: Research & Development".  The number of Mapleprimes Physics posts that got rapidly addressed in this way is already large, some of them are listed here.

The experience has been great. Suggestions are implemented and problems are fixed in a couple of days since they were posted here, and the changes are made available to everybody right away. This is moving the focus of developments into the topics people are actually working on, with feedback and related downloadable updates happening every week.

The recent Physics updates are mostly related to quantum mechanics, an advanced topic, but part of the resulting functionality is interesting for algebraic computations in general. To mention but one: the "automatic combination of products of powers of same base" is now optional.

Recalling, by default, in Maple, if you enter xⁿ x^m, in order to receive x^(n+m). you need to use the combine command (the same happens with products of exponentials). The idea behind the Maple approach is to give you more control over the steps. On the other hand, depending on your problem, the automatic combination of powers of the same base is a desired automatic simplification - this is for instance the Mathematica approach.

In today's update of Physics, a new Setup option, 'combinepowersofsamebase', is implemented, so that this automatic simplification is now optional. If set to true (> Setup(combine = true)), you enter xⁿ x^m or exp(A) exp(B) and you respectively receive x^(n+m) and exp(A+B). Being able to turn this automatic simplification ON and OFF comes in handy in varied situations.

Those more familiar with noncommutative objects (e.g. Matrices), also know that the combination of exp(A) exp(B) is not valid when the exponents A and B do not commute, unless A and B commute with their commutator AB - BA, in which case the combination can be done using Glauber's formula (also related to Hausdorff's formula). All of these cases have been implemented too.

In summary, in the latest update of Physics the combination and expansion of powers and exponentials using combine and expand now takes into account the noncommutative character of the exponents and the value of their commutator, and there is the option of having this combination happening automatically, for both noncommutative and commutative algebraic objects in general.

Other relevant changes more related to Physics are described in the PhysicsUpdates.mw distributed inside the zip that contains the updated Physics.mla linked in the "Maple Physics: Research & Development" webpage.

Greetings to all. I will keep this brief and to the point. I would like to point out a certain deficit in the integral transform package. I have recently been calculating some Mellin transforms at this link and the base functions are of the following type.

g := (p, q) -> 1/(x+p)/(x+(p*q-1)/q);

Now to see the deficit here are some Mellin transforms that...

I just wanted to remind everyone that this quarter's Möbius App Challenge closes Sept. 30.  This quarter's prize is an iPad Prize Pack, which looks very cool but sadly, I'm not allowed to enter.

To enter the contest, all you need to do is:

1) Create an interactive App in Maple

2) While in Maple, log-in to the MapleCloud through the MapleCloud palette.

3) Click on the Send Document to the Cloud button

When upgrading from Opensuse 12.2 to opensuse 12.3 with an nvidia graphics card I got some strange behavior.  It appears that something in the old maple configuration files was causing the trouble.  To eliminate the problem I  deleted the .maple and .maplesoft directories.

If you have some serious configuration information, you would need to save that first or track down exactly where the error ocurs.

I think Maple is missing some lines and significant points. Here I leave another contribution to the possible implementation of a new algorithm to draw the circle of Taylor.

Circle_of_Taylor.mw

Atte.

L. Araujo C.

Prior to the Finance package being updated to include holidays there was no easy way to have Maple generate when holidays occurred.  Hence for newer Maple users there would be no need for such a thing but I had an interest to create one for earlier versions.  The idea is quite simple enough and this is one solution I came up with.

I ran into trouble mathematically calculating easter (the first Sunday after the full moon after March 21st) I...

Other work done to demonstrate that using the correct syntax leads to corroborate all the principles and theorems found in the area of geometry. The Gergonne Point is another achievement developed by Maple procedure through GergonnePoint command and use. I hope your hand corrections if any.

Point_of_Gergonne.mw

Atte

Lenin

An update to Maple 17 is now available. It includes improvement in several different areas of the product, including a new keyboard shortcut for inline evaluation and updates to the Physics package.

To get this update, you can use Tools>Check for Updates from within Maple, or visit Maple 17.02 Downloads, where you can also find a few more details.

eithne

We have just released the MapleSim Hydraulics Library from Modelon, a new add-on component library for advanced hydraulics modeling.  The result of a technology partnership with Modelon, the renowned developer of high-quality Modelica libraries, the MapleSim Hydraulics Library from Modelon allows you to:

• Seamlessly combine hydraulic subsystems and components with other domains in a single modeling environment
  • Choose from over 150 components...

A peculiar consequence of the "smartview" of plots see updates Maple16 (plotting) is that the plot of a constant function only shows the rounding errors:

plot( arcsin+arccos, -1..1 );

Obviously Maple doesn't automatically simplify arcsin(x)+arccos(x) to Pi/2.

I have a previous post on this, but the discussion completely missed the situation I was presenting.

The big problem is: The (vertical) writing cursor often does not move on the visible worksheet when a new location is clicked with the mouse or the arrow keys are used, and moving with the arrow keys often leaves a trail of writing cursors along the line between exisiting symbols. Luckily, Maple internally seems to know the correct (intended) location of the...

I would like to pay attention to the article "Words and More Words" by Joseph Malkevitch. Here are a few  intriguing references:

M. Morse, A solution of the problem of infinite play in chess, Bull. Am. Math. Soc., 44 (1938) 632.

M. Morse and G. Hedlund, Symbolic dynamics, Am. J. Math. 60, (1938) 815–866.

Lothaire, M. Applied Combinatorics on Words, Cambridge U. Press, New York, 2005.

https://www.facebook.com/pages/Matemática-Computacional-Trujillo/145132492343285

When I run "sum(a[1/k],k=1..n);", I get "Error, (in IntegerSub) too many levels of recursion". But it's OK to run "product(a[1/k],k=1..n);". Furthermore "Error, (in IntegerSub) too many levels of recursion" cannot be caught.

Jeff

A user community of Maple I leave one of my contributions to the advancement of science. Here you see the true use of Mathematics in its real dimension Geometric. Just need to improve it with Components someone can help?.The_Point_of_Nage.mw