NewtonBlackArea.mw

I have been working with Newton-Raphson fractals for some time.  Like others it was necessary to deal with the "black areas" many times, so I performed some additional analysis and present some of these results here.  This will allow others to stop coloring these areas black and allow visualization of the structure inside these areas.  It will also help demonstrate...

Starting from Maple 15, the useful ?plottools/getdata command is added. It tansforms a Maple plot to a Matrix. Unfortunately, the getdata command deals only with Maple plots. The question arises: "How to get a data from bmp, jpg, tiff, pcx, gif, png and wmf formats?" This is used in medicine and engineering. Such question was asked here

2012.zip

Ukraine. External independent evaluation (ZNO) in 2012. Trial in Maple 16. 

html 3-interactive in Ukrainian: zno.zip

One of my coworkers brought in G.L. Legendre's book "Pasta By Design" (amazon.ca/dp/0500515808).  It is full of photographs and parametric equations for 92 shapes of pasta.  Of course, we had to set about plotting his equations in Maple.  Orginally I was going to post about this before Maple 16 came out, but I was struck with how much better plots looked in the Maple 16 pre-release and so I decided to wait.   As one example, here are the parametric equations for Giglio Ondulato noodles plotted using the default 3D plot settings in Maple 16 and Maple 15.

Released today, with over 4500 additions and enhancements, Maple 16 reinforces our track record for consistent innovation and industry leadership in areas like ease of use and symbolic computing performance.

But what can we say about

Maple does not evaluate it:

And perhaps it should not because of the alternating sign;

Download 3232012.mw

A common example to emphasize that it is not OK to bring absolute values inside the integral compares

abs( int( cos(n*x), x=0..Pi ) ) asuming n::integer

and

int( abs( cos(n*x) ), x=0..Pi ) assuming n::integer

Maple correctly formulates the first to 0. But the second expression gives it more trouble, returning two messages:

Warning, unable to determine if (1/2)*Pi*(1+2*_Z7)/n is between 0 and Pi; try to use assumptions or use the AllSolutions option
Warning, unable to determine if (1/2)*Pi*(1+2*_Z8)/n is between 0 and Pi; try to use assumptions or use the AllSolutions option

Dr. Gilbert Lai is a mentor for the FIRST Robotics team SWAT 771. He is helping an all girls team from grades 7-12 design a basketball-shooting robot for this year’s annual FIRST Robotics Competition. Dr. Lai is using MapleSim and Maple to help the team understand the principles involved and design their robot. This blog post is part of a series that chronicles the progress of the team.  Posts in the series include:

• Part 1 - ...

If you use all the convergents of the simple continued fraction of the MRB constant as the terms of a generalized continued fraction, then likewise use the new convergents in another generalized continued fraction, and so on... you arrive at 0.5557531....  For more on this process see https://oeis.org/wiki/Convergents_constant .

I was introduced to the geometric interpretation of correlation and linear regression recently.

Orignially due to the famous statistician R.A.Fisher, the idea is that the correlation between 
two variables is the cosine of the angle between the 2 vectors in n-dimensional space.
This can be demonstrated in Maple as follows:

First, we represent each variable as a vector and transform it so that it is centred at its
mean and has a length equal...

This should be a blog post but there is no option for ordinary mapleprimers. 

If you have a gmail account you can access the data on google insights (what people search for on google and where in the world is that keyword searched the most).  Actually you don't need gmail but you don't get access to the full data and your limited to a few searches.  Using Maples internet connectivity commands I'm sure could prove to create some interesting apps.

Mechanics of Materials Toolbox Screencasts:

http://youtu.be/czz_uw0918E

1dim_roots.mw

All critics and new ideas would be appreciated.

Dr. Gilbert Lai is a mentor for the FIRST Robotics team SWAT 771. He is helping an all girls team from grades 7-12 design a basketball-shooting robot for this year’s annual FIRST Robotics Competition. Dr. Lai is using MapleSim and Maple to help the team understand the principles involved and design their robot. This blog post is part of a series that chronicles the progress of the team.  Posts in the series include:

• Part 1 - 

N.B. The MaplePrimes site elided everything past the bullet list, which included more description and links for obtaining the package.  It appears as though bullet lists break MaplePrimes, so this is going to be a bit out-of-order.

This new debugger uses a client/server architecture.  Communication with Maple is via TCP. This permits remote debugging as well as concurrent debugging of multiple Maple processes.  That is useful for comparing different...